_:b668379096 . _:b668379097 . _:b665176927 . _:b668379102 . _:b665176934 . _:b665793914 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665970678 . _:b665176932 . _:b665176926 . _:b668379103 . _:b665176935 . _:b665176925 . _:b668379100 . _:b668379101 . _:b668379106 . _:b668379107 . _:b678849613 . _:b668379104 . _:b678849612 . _:b668379105 . _:b678849615 . _:b668379110 . _:b678849614 . _:b668379111 . _:b668379108 . _:b665793831 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b668379109 . _:b674016926 . _:b665970728 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b668379114 . _:b668379115 . _:b665176655 . _:b668379112 . _:b678849642 . _:b678849618 . _:b678849640 . _:b668379113 . _:b678849643 . _:b665176648 . _:b678849617 . _:b665122419 . _:b668379118 . _:b668379119 . _:b668379116 . _:b678849621 . _:b665121894 . _:b678849616 . _:b668379117 . _:b678849620 . _:b668379122 . _:b678849983 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b668379123 . _:b678849619 . _:b665795365 . _:b668379120 . _:b678849641 . _:b668379121 . _:b668379126 . _:b678849632 . _:b668379127 . _:b674348723 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665795359 . _:b668379124 . _:b665121856 . _:b668379125 . _:b665794074 . _:b678849639 . _:b668379130 . _:b678849619 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665122151 . _:b668379131 . _:b665795370 . _:b665122395 . _:b665122393 . _:b668379128 . _:b665121874 . _:b678849958 . _:b668379129 . _:b665122382 . _:b665122381 . _:b665121875 . _:b665122396 . _:b668379134 . _:b665122400 . _:b668379135 . _:b665122398 . _:b678849954 . _:b668378631 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b668379132 . _:b678849955 . _:b668379133 . _:b668378976 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b668379010 . _:b665122399 . _:b678849959 . _:b678849953 . _:b665122414 . _:b668379011 . _:b678849952 . _:b678849966 . _:b665793797 . _:b668379008 . _:b678849961 . _:b665793796 . _:b668379009 . _:b665122397 . _:b668379014 . _:b665122423 . _:b665795356 . _:b678849964 . _:b678849965 . _:b665793940 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b674016374 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b668379015 . _:b668379012 . _:b678849962 . _:b668379013 . _:b668379018 . _:b668716804 . _:b678849960 . _:b668379019 . _:b668716805 . _:b668379016 . _:b665122415 . _:b668716806 . _:b668379017 . _:b668716807 . _:b668379022 . _:b678849922 . _:b665795366 . _:b668716800 . _:b668379023 . _:b668716801 . _:b668379020 . _:b668716802 . _:b666092792 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b668379021 . _:b665122416 . _:b668716803 . _:b665122417 . _:b678849934 . _:b668379026 . _:b666092770 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665122418 . _:b668379027 . _:b678849935 . _:b678849927 . _:b665122317 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b678849981 . _:b668379024 . _:b668379025 . _:b665970744 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b678849983 . _:b668379030 . _:b678849923 . _:b678849982 . _:b668379031 . _:b668379028 . _:b678849920 . _:b678849925 . _:b678849921 . _:b668379029 . _:b678849924 . _:b668379034 . _:b668379035 . _:b678849926 . _:b668379032 . _:b678849976 . _:b668379033 . _:b678849977 . _:b678849979 . _:b668379038 . _:b678849978 . _:b668379039 . _:b665176903 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665795619 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665857580 . _:b668379036 . _:b668379037 . _:b668379042 . _:b668379043 . _:b678849980 . _:b678849929 . _:b668379040 . _:b678849972 . _:b678849969 . _:b668379041 . _:b678849968 . _:b678849970 . _:b668379046 . _:b678849930 . _:b678849928 . _:b668379047 . _:b678849931 . _:b678849973 . _:b668379044 . _:b674016298 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b678849975 . _:b678849932 . _:b678849971 . _:b668379045 . _:b678849974 . _:b668379050 . _:b668379051 . _:b678849933 . _:b678849936 . _:b678849938 . _:b668379048 . _:b678849939 . _:b668379049 . _:b668379054 . _:b668379055 . _:b678849937 . _:b674016279 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b678849942 . _:b678849963 . _:b668379052 . _:b678849967 . _:b668379053 . _:b678849943 . _:b678849940 . _:b663277715 . _:b668379058 . _:b678849941 . _:b668379059 . _:b668378940 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b663277713 . _:b668379056 . _:b678849950 . _:b668378941 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b678849945 . _:b668379057 . _:b678849951 . _:b678849944 . _:b663277727 . _:b678849948 . _:b668379062 . _:b668379063 . _:b678849949 . _:b678849956 . _:b668379060 . _:b678849957 . _:b665970852 . _:b668379061 . _:b663277724 . _:b668379066 . _:b678849946 . _:b663277722 . _:b678849947 . _:b668379067 . _:b678850009 . _:b668379064 . _:b678850008 . _:b663277720 . _:b678850011 . _:b668379065 . _:b663277759 . _:b668379070 . _:b663277702 . _:b668379071 . _:b663277758 . _:b674016564 . _:b668379068 . _:b663277700 . _:b668379069 . _:b663277699 . _:b678850012 . _:b674016571 . _:b663277696 . _:b665122565 . _:b678850010 . _:b663277711 . _:b678850000 . _:b678850001 . "Randy Dipert"@en . _:b663277709 . _:b663276442 . _:b663277706 . _:b678849998 . _:b678849995 . _:b663277705 . _:b675160470 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b678849993 . _:b665122572 . _:b678849992 . _:b663277750 . _:b665122250 . _:b663277749 . _:b678849999 . _:b665122557 . _:b678849994 . _:b678849996 . _:b678849997 . _:b663277746 . _:b665122559 . _:b665121936 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665122556 . _:b665122558 . _:b663277744 . _:b665122025 . _:b663276436 . _:b663277759 . _:b674016557 . _:b675160737 . _:b665122552 . _:b678849991 . _:b665122555 . _:b663277757 . _:b665122040 . _:b665122041 . _:b665122553 . _:b663276562 . _:b663276563 . _:b665122032 . _:b663276560 . _:b665122548 . _:b663276561 . _:b663277754 . _:b663276566 . _:b663276567 . _:b665122033 . _:b678849987 . _:b663276564 . _:b663276565 . _:b665122036 . _:b663276570 . _:b665122551 . _:b663276571 . _:b678849988 . _:b663276568 . _:b678849986 . _:b665122023 . _:b663276569 . _:b665122550 . _:b663277752 . _:b663276574 . _:b665122549 . _:b663276575 . _:b663276572 . _:b663276573 . _:b663277735 . _:b663276546 . _:b663276547 . _:b663276544 . _:b663276545 . _:b663276550 . _:b665122035 . _:b663276551 . _:b663276548 . _:b663276549 . _:b663277733 . _:b678849989 . _:b663276554 . _:b663276555 . _:b663276552 . _:b678849984 . _:b663276553 . _:b663277732 . _:b663276558 . _:b663276559 . _:b678849985 . _:b663276556 . _:b663276557 . _:b678849881 . _:b678849990 . _:b663277729 . _:b663276453 . _:b665458975 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b663277741 . _:b668378621 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b675160736 . _:b663277740 . _:b665122524 . _:b663277739 . _:b678850003 . _:b678850015 . _:b678850007 . _:b668716738 . _:b678850002 . _:b678850006 . _:b668716739 . _:b678849988 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b663276448 . _:b678850005 . _:b665122015 . _:b678850004 . _:b665122539 . _:b665122541 . _:b665122328 "per discussion with Barry Smith" . _:b663276455 . _:b674016743 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b678850013 . _:b665970816 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b674016667 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665970902 . _:b678850014 . _:b668378952 . _:b675160386 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665459287 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b674016765 . _:b675160715 . _:b663276394 . _:b675160773 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b663276392 . _:b663276410 . _:b668378962 . _:b665122535 . _:b665971165 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665795209 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b663276409 . _:b665121892 . _:b663276401 . _:b665122537 . _:b665857355 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b663276404 . _:b665795300 . _:b668379094 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b663276402 . _:b665793565 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b663276405 . _:b665122538 . _:b675160586 . _:b665122543 . _:b665122540 . _:b665122544 . _:b665122545 . _:b665122546 . _:b663277709 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b675160350 . _:b666093334 . _:b663276384 . _:b665795627 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b662809840 . _:b678849594 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b666093337 . _:b665795328 . _:b665857028 . _:b665857026 . _:b665857027 . _:b665857019 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b674016578 . _:b665122123 . _:b674016386 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b666093144 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b668716746 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b666093011 . _:b665122462 . _:b665122463 . _:b668716393 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665857334 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665122464 . _:b668378985 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b678849901 . _:b678849919 . _:b678849905 . _:b665857383 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b678849917 . _:b678849911 . _:b674016293 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b663277699 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b678849912 . _:b674016848 . _:b662809856 . _:b678849914 . _:b665122320 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b678849913 . _:b665459290 . _:b678849915 . _:b678849916 . _:b663276453 . _:b663276327 . _:b662810256 . _:b665121881 . _:b678849918 . _:b665459165 . _:b663276325 . _:b665121904 . _:b663276440 . _:b666093166 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b663276323 . _:b663276324 . _:b665176465 . _:b678849910 . _:b663276320 . _:b663276326 . _:b675160633 . _:b663276446 . _:b678849909 . _:b665970676 . _:b663276432 . _:b674016836 . _:b663276433 . _:b663276330 . _:b678849904 . _:b663276434 . _:b663276331 . _:b665176466 . _:b665176464 . _:b678849907 . _:b663276329 . _:b663276496 . _:b678849906 . _:b665176467 . _:b665122549 . _:b678849900 . _:b674016843 . _:b665795330 . _:b678849903 . _:b678849902 . _:b678849897 . _:b663276299 . _:b674348763 "requested by Melanie Courtot" . _:b678849899 . _:b663276300 . _:b665793545 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b663276292 . _:b663276427 . _:b678849896 . _:b666092702 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b666092662 . _:b662810209 . _:b665176456 . _:b666092663 . _:b663276349 . _:b663276289 . _:b663276348 . _:b662809888 . _:b665122556 . _:b663276288 . _:b665793934 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b663276291 . _:b663276350 . _:b665176463 . _:b663276290 . _:b663276351 . _:b665176451 . _:b665176450 . _:b663276347 . _:b665122347 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b663276346 . _:b665176453 . _:b665176448 . _:b665176454 . _:b663276344 . _:b663276345 . _:b665176449 . _:b665176455 . _:b665176452 . _:b663276294 . _:b663276295 . _:b663276293 . _:b663276297 . _:b663276296 . _:b663276339 . _:b663276298 . _:b665970725 . _:b663276375 . _:b663276337 . _:b663276302 . _:b663276338 . _:b663276303 . _:b663276301 . _:b665176459 . _:b663276341 . _:b663276343 . _:b663276336 . _:b665176458 . _:b665176462 . _:b663276342 . _:b663276532 . _:b665176457 . _:b665176461 . _:b663276340 . _:b663276307 . _:b663276306 . _:b663276305 . _:b663276311 . _:b663276304 . _:b665176460 . _:b663276332 . _:b663276310 . _:b663276537 . _:b678850025 . _:b663276334 . _:b663276308 . _:b666093305 . _:b663276333 . _:b663276328 . _:b663276309 . _:b663276335 . _:b663276318 . _:b674348367 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b663276321 . _:b663276319 . _:b665176469 . _:b663276322 . _:b665176468 . _:b663276316 . _:b663276317 . _:b663276512 . _:b666092736 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b663276312 . _:b663276314 . _:b663276514 . _:b663276535 . _:b663276315 . _:b663276515 . _:b665176470 . _:b663276516 . _:b663276313 . _:b663276517 . _:b665793627 . _:b663276518 . _:b663276519 . _:b663276376 . _:b665122558 . _:b663276504 . _:b663276377 . _:b663276505 . _:b678850022 . _:b665176373 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b663276507 . _:b663276508 . _:b663276375 . _:b663276509 . _:b663276510 . _:b663276511 . _:b663276496 . _:b663276373 . _:b663276497 . _:b666092732 . _:b663276498 . _:b666093140 . _:b666092733 . _:b668716377 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b663276499 . _:b666092734 . _:b675160753 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b663276374 . _:b663276500 . _:b666093138 . _:b666092735 . _:b663276501 . _:b663276362 . _:b666092728 . _:b663276502 . _:b666093136 . _:b666092729 . _:b663276361 . _:b663277711 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b663276503 . _:b666092730 . _:b663276360 . _:b666092731 . _:b666093149 . _:b663276366 . _:b666092724 . _:b663276363 . _:b666092725 . _:b666093147 . _:b663276364 . _:b666092726 . _:b678849963 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b663276365 . _:b666092727 . _:b666093145 . _:b665794027 . _:b663276356 . _:b666092720 . _:b666092721 . _:b666093183 . _:b666093127 . _:b666092722 . _:b663276359 . _:b666092723 . _:b666093125 . _:b666092716 . _:b666093124 . _:b663276358 . _:b666092717 . _:b663276357 . _:b665971097 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b666092718 . _:b663276484 . _:b665795234 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b666092719 . _:b663276485 . _:b666093121 . _:b666092712 . _:b663276486 . _:b666093120 . _:b666092713 . _:b663276355 . _:b666092714 . _:b663276352 . _:b666093134 . _:b663276354 . _:b666092715 . _:b666092708 . _:b663276353 . _:b666093131 . _:b666092710 . _:b666093130 . _:b666092711 . _:b668716386 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b666092704 . _:b666092705 . _:b666093175 . _:b663276336 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b666092706 . _:b666093174 . _:b663276337 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b666092707 . _:b663276367 . _:b666092700 . _:b666092701 . _:b666093171 . _:b666092702 . _:b666092703 . _:b666093169 . _:b663276370 . _:b666092697 . _:b663276369 . _:b666092698 . _:b666093182 . _:b663276372 . _:b663276368 . _:b663276380 . _:b663276226 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b663276371 . _:b663276227 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b675161002 . _:b665122132 . _:b666093179 . _:b666093177 . _:b665793661 . _:b662809987 . _:b663276379 . _:b666093158 . _:b663276378 . _:b666093157 . _:b666093154 . _:b665122509 . _:b666093152 . _:b674016662 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665970974 . _:b666093166 . _:b674348594 "2025-02-28T21:21:48.093907"^^ . _:b666093165 . _:b665176351 . _:b666093164 . . _:b665793497 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b666093160 . _:b665970693 . _:b665176356 . _:b665970708 . . _:b665177110 . _:b666093077 . _:b666092796 . _:b666093076 . _:b665176360 . _:b666092797 . _:b665177108 . _:b666093075 . _:b665971392 . _:b666092798 . _:b665177115 . _:b666093074 . _:b666092799 . _:b665971266 . _:b665176366 . _:b665970705 . _:b666092792 . _:b665971267 . _:b666092793 . _:b665971264 . _:b666092794 . _:b668716329 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665971265 . _:b665971399 . _:b665793668 . _:b666092795 . _:b665176372 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b666093085 . _:b665176367 . _:b665971270 . _:b666092788 . _:b665177117 . _:b665971271 . _:b666093084 . _:b666092789 . _:b665971268 . _:b665176369 . _:b666092790 . _:b665971269 . _:b666092791 . _:b665971274 . _:b666092784 . _:b665971275 . _:b666092785 . _:b665177088 . _:b665971272 . _:b666093104 . _:b665176368 . _:b666092786 . _:b665971273 . _:b666093105 . _:b666092787 . _:b665971278 . _:b665176370 . _:b666092780 . _:b665971279 . _:b666092781 . _:b665177092 . _:b665971276 . _:b665857217 . _:b665176374 . _:b666092782 . _:b665971277 . _:b666092783 . _:b665971282 . _:b665176372 . _:b666092776 . _:b665971283 . _:b666092777 . _:b665971280 . _:b665176383 . _:b666092778 . _:b665971281 . _:b666092779 . _:b665971286 . _:b666092772 . _:b665177101 . _:b665971287 . _:b666092773 . _:b665971284 . _:b666092774 . _:b665971285 . _:b678849656 . _:b665176379 . _:b666092775 . _:b665971290 . _:b665176378 . _:b665970714 . _:b666092768 . _:b665971291 . _:b665176376 . _:b665176381 . _:b666092769 . _:b665971288 . _:b665176380 . _:b666092770 . _:b665971289 . _:b666093110 . _:b666092771 . _:b665971294 . _:b666093109 . _:b666092764 . _:b665971295 . _:b666093108 . _:b663276370 . _:b663276371 . _:b666092765 . _:b663276368 . _:b665971292 . _:b663276369 . _:b666093107 . _:b665176377 . _:b663276374 . _:b665176373 . _:b663276375 . _:b666092766 . _:b663276372 . _:b665971293 . _:b663276373 . _:b666093106 . _:b663276378 . _:b663276379 . _:b666092767 . _:b663276376 . _:b665971298 . _:b663276377 . _:b666093105 . _:b665176375 . _:b663276382 . _:b663276383 . _:b666092760 . _:b663276380 . _:b665971299 . _:b663276381 . _:b663276354 . _:b663276355 . _:b666092761 . _:b663276352 . _:b665971296 . _:b678849653 . _:b663276353 . _:b663276358 . _:b665795592 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b663276359 . _:b666092762 . _:b663276356 . _:b665971297 . _:b663276357 . _:b663276362 . _:b665176382 . _:b663276363 . _:b666092763 . _:b663276360 . _:b665971302 . _:b663276361 . _:b666093117 . _:b665176371 . _:b663276366 . _:b663276367 . _:b666092756 . _:b663276364 . _:b665971303 . _:b663276365 . _:b663276402 . _:b663276403 . _:b666092757 . _:b663276400 . _:b665971300 . _:b663276401 . _:b663276406 . _:b663276407 . _:b666092758 . _:b663276404 . _:b665971301 . _:b663276405 . _:b663276410 . _:b663276411 . _:b666092759 . _:b663276408 . _:b665177122 . _:b665971306 . _:b663276409 . _:b665176365 . _:b663276414 . _:b665176364 . _:b663276415 . _:b666092752 . _:b663276412 . _:b665971307 . _:b663276413 . _:b665176361 . _:b663276386 . _:b663276387 . _:b666092753 . _:b663276384 . _:b665971304 . _:b663276385 . _:b666093095 . _:b663276390 . _:b663276391 . _:b666092754 . _:b663276388 . _:b665176362 . _:b665971305 . _:b663276389 . _:b663276394 . _:b663276395 . _:b666092755 . _:b663276392 . _:b665971310 . _:b663276393 . _:b663276398 . _:b665177116 . _:b663276399 . _:b666092748 . _:b663276396 . _:b665971311 . _:b663276397 . _:b663276306 . _:b665176357 . _:b663276307 . _:b666092749 . _:b663276304 . _:b665177124 . _:b665971308 . _:b663276305 . _:b666093091 . _:b663276310 . _:b663276311 . _:b666092750 . _:b663276308 . _:b665177131 . _:b665176358 . _:b665971309 . _:b663276309 . _:b666093090 . _:b663276314 . _:b665176359 . _:b663276315 . _:b666092751 . _:b663276312 . _:b665971314 . _:b663276313 . _:b666093089 . _:b663276318 . _:b675160955 . _:b663276319 . _:b666092744 . _:b663276316 . _:b665177129 . _:b665971315 . _:b663276317 . _:b663276290 . _:b663276291 . _:b666092745 . _:b663276288 . _:b665971312 . _:b663276289 . _:b666093103 . _:b665176352 . _:b663276294 . _:b665176354 . _:b663276295 . _:b666092746 . _:b663276292 . _:b665971313 . _:b663276293 . _:b666093102 . _:b665176355 . _:b663276298 . _:b663276299 . _:b666092747 . _:b663276296 . _:b665971318 . _:b663276297 . _:b666093101 . _:b663276302 . _:b663276303 . _:b666092740 . _:b663276300 . _:b665971319 . _:b663276301 . _:b663276338 . _:b663276339 . _:b668378571 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b663276336 . _:b666092741 . _:b665971316 . _:b663276337 . _:b663276342 . _:b665176416 . _:b663276343 . _:b668378572 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b663276340 . _:b666092742 . _:b665971317 . _:b663276341 . _:b665176420 . _:b663276346 . _:b663276347 . _:b666092743 . _:b663276344 . _:b665176411 . _:b665971322 . _:b663276345 . _:b665176421 . _:b663276350 . _:b663276351 . _:b666092736 . _:b663276348 . _:b665176412 . _:b665176419 . _:b665971323 . _:b663276349 . _:b666093096 . _:b663276322 . _:b663276323 . _:b666092737 . _:b663276320 . _:b665971320 . _:b663276321 . _:b663276326 . _:b663276327 . _:b666092738 . _:b663276324 . _:b665176417 . _:b665971321 . _:b678849692 . _:b663276325 . _:b663276330 . _:b663276331 . _:b674348705 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b666092739 . _:b663276328 . _:b665971326 . _:b678849695 . _:b663276329 . _:b663276334 . _:b663276335 . _:b665970980 . _:b663276332 . _:b665971327 . _:b678849694 . _:b663276333 . _:b663276498 . _:b663276499 . _:b663276496 . _:b665971324 . _:b663276497 . _:b663276502 . _:b663276503 . _:b663276500 . _:b665971325 . _:b663276501 . _:b663276506 . _:b665177041 . _:b663276507 . _:b663276504 . _:b665971202 . _:b663276505 . _:b663276510 . _:b663276511 . _:b663276508 . _:b665971203 . _:b663276509 . _:b663276482 . _:b663276483 . _:b663276480 . _:b665971200 . _:b663276481 . _:b663276486 . _:b663276487 . _:b663276484 . _:b665971201 . _:b663276485 . _:b663276490 . _:b663276491 . _:b663276488 . _:b665971206 . _:b678849687 . _:b665857211 . _:b663276489 . _:b663276494 . _:b663276495 . _:b663276492 . _:b665971207 . _:b678849686 . _:b663276493 . _:b665176437 . _:b665971385 . _:b663276530 . _:b663276531 . _:b663276528 . _:b665971204 . _:b663276529 . _:b665176436 . _:b663276534 . _:b665177048 . _:b663276535 . _:b665176439 . _:b663276532 . _:b665971205 . _:b663276538 . _:b663276539 . _:b665176438 . _:b663276536 . _:b665971210 . _:b663276537 . _:b663276261 . _:b663276542 . _:b663276543 . _:b663276540 . _:b665971211 . _:b663276541 . _:b663276514 . _:b663276515 . _:b663276512 . _:b665971208 . _:b663276513 . _:b663276518 . _:b663276519 . _:b663276516 . _:b665971209 . _:b663276517 . _:b666092803 . _:b663276522 . _:b663276523 . _:b663276520 . _:b665971214 . _:b663276521 . _:b663276526 . _:b663276527 . _:b663276524 . _:b675160780 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665971215 . _:b663276525 . _:b663276434 . _:b663276435 . _:b665176442 . _:b663276432 . _:b665971212 . _:b663276433 . _:b666092806 . _:b663276438 . _:b663276439 . _:b665176441 . _:b663276436 . _:b665971213 . _:b663276437 . _:b663276442 . _:b663276443 . _:b663276440 . _:b665971218 . _:b663276441 . _:b666092804 . _:b665971378 . _:b663276446 . _:b663276447 . _:b663276444 . _:b665971219 . _:b663276445 . _:b666092805 . _:b665176445 . _:b663276418 . _:b665176440 . _:b663276419 . _:b663276416 . _:b665971216 . _:b663276417 . _:b665176444 . _:b663276422 . _:b665176389 . _:b663276423 . _:b663276420 . _:b665971217 . _:b663276421 . _:b665176390 . _:b663276426 . _:b663276427 . _:b663276424 . _:b665971222 . _:b663276425 . _:b663276430 . _:b665176443 . _:b663276431 . _:b663276428 . _:b665971223 . _:b663276429 . _:b668378562 . _:b663276466 . _:b663276467 . _:b665176384 . _:b663276464 . _:b665971220 . _:b663276465 . _:b665176385 . _:b663276470 . _:b668378563 . _:b663276471 . _:b665176387 . _:b663276468 . _:b665971221 . _:b663276469 . _:b665176386 . _:b663276474 . _:b668378560 . _:b665176446 . _:b663276475 . _:b663276472 . _:b665971226 . _:b663276473 . _:b668378561 . _:b663276478 . _:b665177038 . _:b663276479 . _:b665176447 . _:b663276476 . _:b665971227 . _:b663276477 . _:b668378566 . _:b663276450 . _:b663276451 . _:b663276448 . _:b665971224 . _:b663276449 . _:b668378567 . _:b663276454 . _:b663276455 . _:b665177123 . _:b663276452 . _:b665971225 . _:b663276453 . _:b668378564 . _:b663276458 . _:b665176388 . _:b663276459 . _:b665176391 . _:b663276456 . _:b665971230 . _:b663276457 . _:b668378565 . _:b663276462 . _:b663276463 . _:b663276460 . _:b665971231 . _:b663276461 . _:b665176433 . _:b665176435 . _:b668378570 . _:b665176432 . _:b665971228 . _:b665176395 . _:b668378571 . _:b665176394 . _:b665122194 . _:b665971229 . _:b665176392 . _:b668378568 . _:b665176393 . _:b665971234 . _:b665176434 . _:b668378569 . _:b665793530 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665971235 . _:b665176398 . _:b668378574 . _:b665971232 . _:b665176399 . _:b668378575 . _:b665971233 . _:b665177130 . _:b668378572 . _:b665176397 . _:b665122201 . _:b665971238 . _:b668378573 . _:b665176396 . _:b665176400 . _:b665971239 . _:b665176424 . _:b663276374 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b668378578 . _:b665176406 . _:b665176407 . _:b665971236 . _:b665176425 . _:b668378579 . _:b665971237 . _:b668378576 . _:b665176404 . _:b665176428 . _:b665971242 . _:b668378577 . _:b665176405 . _:b666092816 . _:b665971243 . _:b665176426 . _:b668378582 . _:b662810061 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665794135 . _:b665971240 . _:b663276209 . _:b668378583 . _:b665176401 . _:b665176403 . _:b665176430 . _:b665793709 . _:b665176427 . _:b665971241 . _:b663276208 . _:b668378580 . _:b665176402 . _:b665176429 . _:b665794128 . _:b665971246 . . _:b668378581 . . _:b665176431 . . _:b666092812 . . _:b665176415 . _:b665971247 . _:b668378586 . . _:b675160384 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b666092813 . _:b665970801 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665971244 . _:b678849697 . _:b663276221 . _:b668378587 . _:b666092814 . _:b665971245 . _:b678849696 . _:b665176413 . _:b668378584 . _:b666092815 . _:b665971250 . _:b668378585 . _:b666092808 . _:b665176422 . _:b665122180 . _:b665971251 . _:b668378590 . _:b666092809 . _:b665176423 . _:b665971248 . _:b678849701 . _:b665176418 . _:b668378591 . _:b665794142 . _:b665176410 . _:b665795699 . _:b665176408 . _:b666092810 . _:b665971249 . . _:b668378588 . . _:b666092811 . _:b665176409 . _:b665971254 . _:b668378589 . _:b665176414 . _:b666092804 . _:b665971255 . _:b668378594 . _:b666092805 . _:b665122187 . _:b665971252 . _:b668378595 . _:b666092806 . _:b665971253 . _:b668378592 . _:b666092807 . _:b665971258 . _:b668378593 . _:b666092800 . _:b665971259 . _:b668378598 . _:b666092801 . _:b665971256 . _:b668378599 . _:b666092802 . _:b662809618 . _:b665971257 . _:b668378596 . _:b666092803 . _:b665971262 . _:b668378597 . _:b665971263 . _:b668378602 . _:b663276242 . _:b663276243 . _:b663276240 . _:b665971260 . _:b663276241 . _:b668378603 . _:b663276246 . _:b663276247 . _:b663276244 . _:b665971261 . _:b663276245 . _:b668378600 . _:b663276250 . _:b663276251 . _:b663276248 . _:b678849613 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665971394 . _:b663276249 . _:b668378601 . _:b663276254 . _:b663276255 . _:b663276252 . _:b665971395 . _:b663276253 . _:b668378606 . _:b663276226 . _:b663276227 . _:b663276224 . _:b665971392 . _:b663276225 . _:b668378607 . _:b663276230 . _:b663276231 . _:b663276228 . _:b665971393 . _:b663276229 . _:b668378604 . _:b663276234 . _:b663276235 . _:b665122087 . _:b663276232 . _:b665971398 . _:b663276233 . _:b668378605 . _:b663276238 . _:b663276239 . _:b663276236 . _:b665971399 . _:b663276237 . _:b668378610 . _:b663276274 . _:b663276275 . _:b663276272 . _:b665971396 . _:b663276273 . _:b668378611 . _:b663276278 . _:b663276279 . _:b663276276 . _:b665971397 . _:b663276277 . _:b668378608 . _:b663276282 . _:b665971083 . _:b663276283 . _:b663276280 . _:b665971402 . _:b663276281 . _:b668378609 . _:b663276286 . _:b663276287 . _:b665122080 . _:b663276284 . _:b665971403 . _:b663276285 . _:b668378614 . _:b663276258 . _:b663276259 . _:b663276256 . _:b665971400 . _:b663276257 . _:b668378615 . _:b663276262 . _:b663276263 . _:b663276260 . _:b665971401 . _:b663276261 . _:b662809608 . _:b663276266 . _:b668378612 . _:b663276267 . _:b663276264 . _:b665795669 . _:b663276265 . _:b665971406 . _:b668378613 . _:b663276270 . _:b665971077 . _:b663276271 . _:b663276268 . _:b663276269 . _:b668378618 . _:b665971074 . _:b662810237 . _:b665971404 . _:b668378619 . _:b665971405 . _:b668378616 . _:b663276269 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b668378617 . _:b674348283 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b666093184 . _:b665795210 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b668378622 . _:b678850092 . _:b668378623 . _:b668378620 . _:b668378621 . _:b668378821 . _:b663276210 . _:b663276211 . _:b663276208 . _:b663276209 . _:b663276214 . _:b663276215 . _:b663276212 . _:b663276213 . _:b663276218 . _:b663276219 . _:b663276216 . _:b675161041 . _:b663276217 . _:b663276222 . _:b663276223 . _:b663276220 . _:b663276221 . _:b675160856 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b666092775 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b663276273 . _:b663276207 . _:b675161055 . _:b674348667 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b674348757 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b675161048 . _:b678849779 . _:b666092808 . _:b666092807 . _:b666092807 . _:b674016681 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b666092803 . _:b665795697 . _:b666093184 . _:b678849772 . _:b663276284 . _:b663276285 . _:b668716375 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b663276286 . _:b663276421 . _:b668378725 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b663276287 . _:b665122074 . _:b663276280 . _:b663276281 . _:b663276282 . _:b663276263 . _:b663276283 . _:b665794076 . _:b663276276 . _:b663277893 . _:b663276277 . _:b663276278 . _:b663276279 . _:b666092802 . _:b663276272 . _:b663276274 . _:b666092801 . _:b663276225 . _:b663276275 . _:b666092772 . _:b666092782 . _:b663276268 . _:b665795111 . _:b666092773 . _:b663276269 . _:b666092774 . _:b662809746 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b663276270 . _:b666092775 . _:b663276243 . _:b663276271 . _:b668717002 "2024-12-13T02:09:51.343748"^^ . _:b662810083 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b668716357 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b663276244 . _:b663276264 . _:b668378996 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665971330 . _:b665795648 . _:b663276265 . _:b665971331 . _:b663276266 . _:b665971328 . _:b663276267 . _:b665971329 . _:b665971334 . _:b663276261 . _:b665176608 . _:b665971335 . _:b663276262 . _:b665971332 . _:b665121931 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b666092776 . _:b665971333 . _:b665971338 . _:b665971339 . _:b665971336 . _:b666092798 . _:b665971337 . _:b665971342 . _:b665971343 . _:b665176789 . _:b668378554 . _:b665971340 . _:b668378555 . _:b665971341 . _:b668378552 . _:b665971346 . _:b668378553 . _:b665971347 . _:b668378558 . _:b668378777 . _:b665971344 . _:b668378559 . _:b665971345 . _:b668378556 . _:b665971350 . _:b668378557 . _:b665971351 . _:b665971348 . _:b666092786 . _:b665971349 . _:b665971354 . _:b665971355 . _:b665971352 . _:b662809692 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665971353 . _:b665971358 . _:b665971359 . _:b666092774 . _:b665971356 . _:b668379075 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665971170 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665971357 . _:b666092747 . _:b665971362 . _:b665971363 . _:b665971360 . _:b665971361 . _:b665122273 . _:b663276507 . _:b665971366 . _:b665122141 . _:b665971367 . _:b665971364 . _:b665971365 . _:b665794083 . _:b663277653 . _:b665971370 . _:b666092768 . _:b665971371 . _:b663276226 . _:b666092769 . _:b665971368 . _:b663276227 . _:b665971369 . _:b663276348 . _:b678849532 . _:b665971374 . _:b663276349 . _:b665176810 . _:b665971062 . _:b665971375 . _:b663276350 . _:b665971372 . _:b663276351 . _:b665971373 . _:b663276344 . _:b665176804 . _:b666092763 . _:b678849533 . _:b665971378 . _:b663276345 . _:b665795301 . _:b665857311 . _:b678849534 . _:b665971379 . _:b663276346 . _:b678849535 . _:b665971376 . _:b663276347 . _:b675160829 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665971377 . _:b663276340 . _:b665971382 . _:b678849528 . _:b663276341 . _:b665176801 . _:b678849530 . _:b665971383 . _:b663276321 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b663276342 . _:b678849531 . _:b665971380 . _:b666092782 . _:b663276343 . _:b665459010 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b678849527 . _:b665971381 . _:b666092783 . _:b663276336 . _:b665971386 . _:b663276337 . _:b665971387 . _:b663276338 . _:b665971384 . _:b663276339 . _:b665971385 . _:b663276332 . _:b665971390 . _:b663276333 . _:b665971391 . _:b663276334 . _:b666092717 . _:b665857299 . _:b665971388 . _:b663276335 . _:b665971389 . _:b663276328 . _:b665794079 . _:b663276329 . _:b665122113 . _:b663276330 . _:b665122012 . _:b663276331 . _:b665459129 . _:b665122119 . _:b663276324 . _:b665459128 . _:b665122013 . _:b663276325 . _:b665122030 . _:b665122031 . _:b663276326 . _:b665122116 . _:b663276327 . _:b665177070 . _:b663276320 . _:b665122028 . _:b663276321 . _:b663276545 . _:b665459135 . _:b663276546 . _:b663276322 . _:b663276544 . _:b663276547 . _:b663276323 . _:b663276316 . _:b663276317 . _:b665121892 "per discussion with Barry Smith" . _:b663276318 . _:b665459122 . _:b663276319 . _:b663276312 . _:b665459124 . _:b666092711 . _:b663276313 . _:b666093032 . _:b666092710 . _:b663276314 . _:b666092713 . _:b663276315 . _:b665176580 . _:b666092712 . _:b666093161 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b663276308 . _:b666092715 . _:b663276309 . _:b666092714 . _:b665857320 . _:b663276310 . _:b663276311 . _:b666092716 . _:b663276304 . _:b666093031 . _:b663276305 . _:b665793996 . _:b663276306 . _:b663276307 . _:b663276300 . _:b665857314 . _:b663276301 . _:b663276302 . _:b665122027 . _:b663276303 . _:b665122024 . _:b663276296 . _:b665122026 . _:b665122029 . _:b663276297 . _:b674348753 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b663276298 . _:b665121905 "per discussion with Barry Smith" . _:b663276299 . _:b666092756 . _:b663276292 . _:b666092771 . _:b663276293 . _:b666092770 . _:b665122045 . _:b663276294 . _:b666092753 . _:b663276295 . _:b665121918 "per discussion with Barry Smith" . _:b663276288 . _:b665793689 . _:b666092755 . _:b675160427 . _:b663276289 . _:b665459167 . _:b666092754 . _:b663276290 . _:b675160429 . _:b663276291 . _:b675160428 . _:b665122110 . _:b675160430 . _:b665793683 . _:b663277886 . _:b665793680 . _:b665122046 . _:b665793686 . _:b665122047 . _:b665970674 . _:b665970675 . _:b665970672 . _:b665970673 . _:b665970678 . _:b674348695 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665970679 . _:b665793711 . _:b665970676 . _:b665970677 . _:b665970682 . _:b665970683 . _:b665121948 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665970680 . _:b665970681 . _:b665970686 . _:b665970687 . _:b665970684 . _:b665970685 . _:b665793658 . _:b665970670 . _:b665970671 . _:b665970669 . _:b675160793 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b666093116 . _:b666093117 . _:b666093118 . _:b666093119 . _:b666093112 . _:b666093113 . _:b666093114 . _:b666093115 . _:b666093108 . _:b666093109 . _:b674016498 . _:b663276503 . _:b666093110 . _:b666093111 . _:b666093104 . _:b666092806 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b666093105 . _:b666093106 . _:b663276380 . _:b666093107 . _:b666093100 . _:b665176784 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666093101 . _:b665176785 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b675160839 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b666093102 . _:b663276376 . _:b668378706 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b666093103 . _:b662809849 . _:b665121959 "per discussion with Barry Smith" . _:b663276377 . _:b666093096 . _:b663276378 . _:b666093097 . _:b663276379 . _:b666093098 . _:b662809850 . _:b663276372 . _:b666093099 . _:b663276373 . _:b666093092 . _:b663276374 . _:b665857390 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b666093093 . _:b665795584 . _:b663276375 . _:b666093094 . _:b663276368 . _:b666093095 . _:b663276369 . _:b666093088 . _:b663276370 . _:b666093089 . _:b662809843 . _:b663276371 . _:b665794030 . _:b666093090 . _:b663276364 . _:b666093091 . _:b662809845 . _:b662809977 . _:b663276365 . _:b666093084 . _:b665856925 . _:b663276366 . _:b666093085 . _:b665856926 . _:b675160784 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b663276367 . _:b666093086 . _:b663276360 . _:b674016491 . _:b666093087 . _:b663276361 . _:b674016488 . _:b666093080 . _:b665857122 . _:b663276362 . _:b665793504 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b666093081 . _:b663276363 . _:b666093082 . _:b663276356 . _:b666093083 . _:b663276357 . _:b666093076 . _:b663276358 . _:b666093077 . _:b663276359 . _:b663276352 . _:b666093079 . _:b663276353 . _:b665793471 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b666093072 . _:b663276354 . _:b666093073 . _:b663276355 . _:b666093074 . _:b666093075 . _:b666093069 . _:b668716726 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b666093070 . _:b666093071 . _:b665795480 . _:b665794037 . _:b666093066 . _:b666093067 . _:b665121923 "per discussion with Barry Smith" . _:b666093379 . _:b665122300 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665122170 . _:b665122172 . _:b665857020 . _:b666092965 . _:b666093180 . _:b665857021 . _:b666093181 . _:b665857022 . _:b666093182 . _:b665857023 . _:b666093183 . _:b665857016 . _:b666093176 . _:b665857017 . _:b666093177 . _:b665857018 . _:b665795579 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b666093178 . _:b665857019 . _:b666093179 . _:b665857012 . _:b666093172 . _:b665857013 . _:b666093173 . _:b665857014 . _:b666093174 . _:b665857015 . _:b666093175 . _:b665857008 . _:b666093168 . _:b665857009 . _:b666092968 . _:b666093169 . _:b665857010 . _:b665857081 . _:b665857026 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b666093170 . _:b665857011 . _:b665857080 . _:b666093171 . _:b665857004 . _:b666093164 . _:b665857005 . _:b675160424 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b662809642 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b666093165 . _:b665857006 . _:b666093166 . _:b665857007 . _:b666093167 . _:b665857000 . _:b666093160 . _:b665857001 . . _:b666093161 . _:b665857002 . _:b666093358 . _:b666093162 . _:b665857003 . _:b665970945 . _:b666093163 . _:b668378583 . _:b665856996 . _:b666093156 . _:b665856997 . _:b666093157 . _:b665856998 . _:b666093158 . _:b665856999 . _:b666093159 . _:b665856992 . _:b666093152 . _:b665856993 . _:b666093153 . _:b665856994 . _:b665970952 . _:b666093154 . _:b665856995 . _:b665793503 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b666093155 . _:b665856988 . _:b666093148 . _:b665856989 . _:b663277906 . _:b663277907 . _:b666093149 . _:b663277904 . _:b665856990 . _:b663277905 . _:b663277910 . _:b663277911 . _:b666093150 . _:b663277908 . _:b665856991 . _:b663277909 . _:b663277914 . _:b663277915 . _:b666093151 . _:b663277912 . _:b665856984 . _:b663277913 . _:b663277918 . _:b666093372 . _:b663277919 . _:b666093144 . _:b663277916 . _:b665856985 . _:b663277917 . _:b663277890 . _:b663277891 . _:b663276515 . _:b663277888 . _:b666093145 . _:b665856986 . _:b663277889 . _:b663277894 . _:b663277895 . _:b666093146 . _:b663277892 . _:b665856987 . _:b663277893 . _:b663277898 . _:b663277899 . _:b666093147 . _:b663277896 . _:b665856980 . _:b663277897 . _:b663277902 . _:b663277903 . _:b666093140 . _:b663277900 . _:b665856981 . _:b663277901 . _:b663277938 . _:b663277939 . _:b666093141 . _:b663277936 . _:b668378593 . _:b665856982 . _:b663277937 . _:b665970740 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b663277942 . _:b663277943 . _:b666093142 . _:b663277940 . _:b665856983 . _:b678849512 . _:b663277941 . _:b663277946 . _:b663277947 . _:b666093143 . _:b663277944 . _:b665856976 . _:b663277945 . _:b665122166 . _:b663277950 . _:b663277951 . _:b666093136 . _:b663277948 . _:b665856977 . _:b663277949 . _:b663277922 . _:b663277923 . _:b666093137 . _:b663277920 . _:b665856978 . _:b663277921 . _:b666093365 . _:b663277926 . _:b663277927 . _:b666093138 . _:b663277924 . _:b665856979 . _:b663277925 . _:b663277930 . _:b663277931 . _:b666093139 . _:b663277928 . _:b665122169 . _:b663277929 . _:b663277934 . _:b663277935 . _:b666093132 . _:b678850127 . _:b663277932 . _:b665856973 . _:b663277933 . _:b665971144 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665122168 . _:b663277842 . _:b665856986 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b663277843 . _:b665122171 . _:b663277840 . _:b666093133 . _:b665856974 . _:b663277841 . _:b663277846 . _:b665793816 . _:b663277847 . _:b666093134 . _:b663277844 . _:b665856975 . _:b663277845 . _:b663277850 . _:b663277851 . _:b666093135 . _:b663277848 . _:b665856968 . _:b663277849 . _:b663277854 . _:b663277855 . _:b665122174 . _:b663277852 . _:b666093128 . _:b665856969 . _:b663277853 . _:b663277826 . _:b663277827 . _:b666093129 . _:b663277824 . _:b665856970 . _:b663277825 . _:b665122155 . _:b663277830 . _:b663277831 . _:b666093130 . _:b663277828 . _:b665856971 . _:b663277829 . _:b663277834 . _:b665122175 . _:b663277835 . _:b666093131 . _:b663277832 . _:b665856964 . _:b663277833 . _:b665122048 . _:b663277838 . _:b663277839 . _:b666093124 . _:b668378812 . _:b663277836 . _:b665856965 . _:b663277837 . _:b665122049 . _:b663277874 . _:b663277875 . _:b666093125 . _:b663277872 . _:b665856966 . _:b663277873 . _:b663277878 . _:b663277879 . _:b666093126 . _:b663277876 . _:b665856967 . _:b663277877 . _:b663277882 . _:b663277883 . _:b666093127 . _:b663277880 . _:b665856960 . _:b663277881 . _:b663277886 . _:b663277887 . _:b666093120 . _:b663277884 . _:b665856961 . _:b663277885 . _:b663277858 . _:b663277859 . _:b665794078 . _:b663277856 . _:b666093121 . _:b663277857 . . _:b663277862 . _:b663277863 . _:b668378805 . _:b666093122 . _:b663277860 . _:b665856963 . _:b678849797 . _:b663277861 . _:b663277866 . _:b663277867 . _:b666093123 . _:b663277864 . _:b663277865 . _:b663277870 . _:b663277871 . _:b666093380 . _:b665121919 . _:b663277868 . _:b663277869 . . _:b665121918 . _:b665458917 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665122475 . _:b665971198 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665795391 . _:b665857223 . _:b665122477 . _:b665122054 . _:b665459589 . _:b663276366 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665793808 . _:b674348384 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665458933 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665122488 . _:b663277954 . _:b663277955 . _:b663277952 . _:b663277953 . _:b668378627 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665793818 . _:b665122481 . _:b665122482 . _:b663277650 . _:b663277651 . _:b663277648 . _:b663277649 . _:b663277654 . _:b665857282 . _:b662810011 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b663277655 . _:b663277652 . _:b663277653 . _:b663277658 . _:b663277659 . _:b665122094 . _:b675160411 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b663277656 . _:b663277657 . _:b665121951 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b663277662 . _:b665122095 . _:b663277663 . _:b663277660 . _:b663277661 . _:b662809621 . _:b663277634 . _:b663277635 . _:b663277632 . _:b663277633 . _:b663277638 . _:b663277639 . _:b663277636 . _:b665122093 . _:b663277637 . _:b663277642 . _:b663277643 . _:b674348326 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b663277640 . _:b663277641 . _:b663277646 . _:b663277647 . _:b663277644 . _:b663277645 . _:b663277682 . _:b663277683 . _:b668716762 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b663277680 . _:b663277681 . _:b663277686 . _:b663277687 . _:b663277684 . _:b663277685 . _:b663277690 . _:b663277691 . _:b663277688 . _:b663277689 . _:b675160382 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b663277694 . _:b663277695 . _:b663277692 . _:b663277693 . _:b663277666 . _:b663277667 . _:b663277664 . _:b665121922 . _:b663277665 . _:b663277670 . _:b663277671 . _:b663277668 . _:b665121921 . _:b663277669 . _:b663277674 . _:b663277675 . _:b663277672 . _:b665121920 . _:b663277673 . _:b662809600 . _:b663277678 . _:b663277679 . _:b663277676 . _:b663277677 . _:b663277586 . _:b663277587 . _:b668716691 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b663277590 . _:b663277591 . _:b663277588 . _:b663277589 . _:b663277594 . _:b663277595 . _:b663277592 . _:b663277593 . _:b665122050 . _:b663277598 . _:b663277599 . _:b663277596 . _:b663277597 . _:b665122520 . _:b662809622 . _:b678849982 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b678849869 . _:b663277618 . _:b663277619 . _:b663277616 . _:b662809840 . _:b663277617 . _:b663277622 . _:b663277623 . _:b663277620 . _:b663277621 . _:b663277626 . _:b663277627 . _:b666093168 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b663277624 . _:b663277625 . _:b663277630 . _:b663277631 . _:b666093184 . _:b663277628 . _:b663277629 . _:b663277602 . _:b663277603 . _:b666093185 . _:b663277600 . _:b663277601 . _:b663277606 . _:b663277607 . _:b663277604 . _:b663277605 . _:b663277610 . _:b663277611 . _:b663277608 . _:b663277609 . _:b663277614 . _:b663277615 . _:b663277612 . _:b665794002 . _:b663277613 . _:b663277778 . _:b663277779 . _:b663277776 . _:b663277777 . _:b663277782 . _:b663277783 . _:b663277780 . _:b663277781 . _:b663277786 . _:b663277787 . _:b663277784 . _:b665970754 . _:b663277785 . _:b663277790 . _:b663277791 . _:b663277788 . _:b665970755 . _:b663277789 . _:b663277762 . _:b668378771 . _:b663277763 . _:b663277760 . _:b665970752 . _:b663277761 . _:b663277766 . _:b663277767 . _:b663277764 . _:b665970753 . _:b663277765 . _:b663277770 . _:b663277771 . _:b663277768 . _:b665970758 . _:b663277769 . _:b663277774 . _:b663277775 . _:b663277772 . _:b665970759 . _:b663277773 . _:b663277810 . _:b663277811 . _:b678849841 "2025-04-26T14:19:51.294945"^^ . _:b663277808 . _:b665970756 . _:b663277809 . _:b663277814 . _:b663277815 . _:b663277812 . _:b665970757 . _:b663277813 . _:b663277818 . _:b663277819 . _:b663277816 . _:b665970762 . _:b663277817 . _:b663277822 . _:b663277823 . _:b663277820 . _:b665970763 . _:b663277821 . _:b663277794 . _:b663277795 . _:b663277792 . _:b665970760 . _:b663277793 . _:b663277798 . _:b663277799 . _:b663277796 . _:b665970761 . _:b678849877 . _:b663277797 . _:b663277802 . _:b663277803 . _:b663277800 . _:b665970766 . _:b663277801 . _:b663277806 . _:b663277807 . _:b663277804 . _:b665970767 . _:b663277805 . _:b663277714 . _:b663277715 . _:b663277712 . _:b665970764 . _:b663277713 . _:b665793489 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b663277718 . _:b663277719 . _:b663277716 . _:b665970765 . _:b663277717 . _:b663277722 . _:b663277723 . _:b663277720 . _:b665970770 . _:b663277721 . _:b663277726 . _:b663277727 . _:b663277724 . _:b665970771 . _:b663277725 . _:b663277698 . _:b665793660 . _:b663277699 . _:b663277696 . _:b665970768 . _:b663277697 . _:b665459396 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b663277702 . _:b663277703 . _:b663277700 . _:b665970769 . _:b663277701 . _:b663277706 . _:b663277707 . _:b663277704 . _:b665970774 . _:b663277705 . _:b663277710 . _:b663277711 . _:b663277708 . _:b665970775 . _:b663277709 . _:b663277746 . _:b663277747 . _:b663277744 . _:b665970772 . _:b663277745 . _:b663277750 . _:b663277751 . _:b663277748 . _:b665970773 . _:b663277749 . _:b665971109 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b663277754 . _:b663277755 . _:b663277752 . _:b665970778 . _:b663277753 . _:b663277758 . _:b663277759 . _:b663277756 . _:b665970779 . _:b663277757 . _:b663277730 . _:b663277731 . _:b663277728 . _:b665970776 . _:b663277729 . _:b663277734 . _:b663277735 . _:b663277732 . _:b665970777 . _:b663277733 . _:b663277738 . _:b663277739 . _:b663277736 . _:b665970782 . _:b663277737 . _:b663277742 . _:b663277743 . _:b663277740 . _:b665970783 . _:b678849895 . _:b663277741 . _:b665970780 . _:b665121964 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665970781 . _:b665970786 . _:b665794046 . _:b678849581 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665970787 . _:b665970784 . _:b665970785 . _:b665970790 . _:b665970791 . _:b663276514 . _:b665970788 . _:b665970789 . _:b665970794 . _:b665970795 . _:b665970792 . _:b665458897 . _:b665970793 . _:b665970798 . _:b665970799 . _:b668379255 . _:b665794003 . _:b665970796 . _:b665970797 . _:b665970802 . _:b662809714 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665971199 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b668379253 . _:b665970803 . _:b665970800 . _:b665793702 . _:b665970801 . _:b665970806 . _:b665122176 . _:b665122177 . _:b665970807 . _:b674016312 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665970804 . _:b665970805 . _:b665857192 . _:b665970810 . _:b665970811 . _:b665970808 . _:b665970809 . _:b666092758 . _:b665970814 . _:b668716322 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665970815 . _:b666092756 . _:b665970812 . _:b666092755 . _:b665176470 . _:b665970813 . _:b675160755 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665970690 . _:b665970691 . _:b666092752 . _:b665970688 . _:b666092767 . _:b665970689 . _:b665970694 . _:b666092765 . _:b665970695 . _:b675160679 . _:b665970692 . _:b675160672 . _:b665970693 . _:b666092762 . _:b665970698 . _:b666092761 . _:b665970699 . _:b665970696 . _:b665970697 . _:b665970702 . _:b666092741 . _:b665970703 . _:b666092740 . _:b675160686 . _:b665970700 . _:b666092739 . _:b665970701 . _:b666092738 . _:b665970706 . _:b666092737 . _:b665970707 . _:b666092736 . _:b665970704 . _:b666092751 . _:b665970705 . _:b665970710 . _:b665970711 . _:b666092748 . _:b668716698 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665970708 . _:b668379251 . _:b665970709 . _:b668379249 . _:b668379238 . _:b665970714 . _:b668379252 . _:b665970715 . _:b665970712 . _:b666092791 . _:b666092736 . _:b668379254 . _:b665970713 . _:b666093105 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665970718 . _:b666092789 . _:b665970719 . _:b666092788 . _:b668379257 . _:b665970716 . _:b665795603 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b668379258 . _:b665793960 . _:b665970717 . _:b668379259 . _:b668379260 . _:b665970722 . _:b666092785 . _:b662809991 . _:b665970723 . _:b665970720 . _:b665970721 . _:b663277810 . _:b665970726 . _:b666092797 . _:b665970727 . _:b666092796 . _:b665970724 . _:b666092795 . _:b665970725 . _:b665970730 . _:b665970731 . _:b665795133 . _:b665793957 . _:b665970728 . _:b665970729 . _:b665857304 . _:b665970734 . _:b665970735 . _:b665970732 . _:b666092771 . _:b662809990 . _:b665970733 . _:b665970738 . _:b674348684 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b666092769 . _:b665970739 . _:b665971302 . _:b665970736 . _:b666092783 . _:b665970737 . _:b665970742 . _:b668716792 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665459499 . _:b665970743 . _:b666092780 . _:b665122510 . _:b665459498 . _:b665794001 . _:b665970740 . _:b665794000 . _:b675160367 . _:b665970741 . _:b666092778 . _:b668379137 . _:b665970746 . _:b665970747 . _:b666092776 . _:b665794005 . _:b663276272 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665970744 . _:b665176602 . _:b675160368 . _:b665970745 . _:b665970750 . _:b665970751 . _:b665970748 . _:b665970749 . _:b665459492 . _:b665970882 . _:b665970883 . _:b665459494 . _:b675160346 . _:b665795141 . _:b662809715 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b675160404 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665970880 . _:b665793996 . _:b665970881 . _:b665793999 . _:b665970886 . _:b665793998 . _:b665970887 . _:b665857196 . _:b665970884 . _:b665857274 . _:b678850198 . _:b665970885 . _:b665970890 . _:b665970891 . _:b665970888 . _:b665459505 . _:b665970889 . _:b665793991 . _:b678850205 . _:b665970894 . _:b665793990 . _:b665970895 . _:b668379178 . _:b668379176 . _:b674016445 . _:b665970892 . _:b668379177 . _:b665970893 . _:b665795784 . _:b665970898 . _:b665177076 . _:b665970899 . _:b665970896 . _:b665122274 "per discussion with Barry Smith" . _:b665970897 . _:b665795159 . _:b665970902 . _:b665970903 . _:b665970900 . _:b665794058 . _:b665970901 . _:b665122287 "per discussion with Barry Smith" . _:b665970906 . _:b678850184 . _:b665970907 . _:b666092735 . _:b665970904 . _:b666092727 . _:b665970905 . _:b665122479 . _:b666092726 . _:b665795223 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665970910 . _:b665122292 "per discussion with Barry Smith" . _:b665970911 . _:b666092804 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b678850191 . _:b665459575 . _:b665970908 . _:b665970909 . _:b666092722 . _:b665794049 . _:b665970914 . _:b666092721 . _:b665970915 . _:b666092720 . _:b665794055 . _:b665970912 . _:b665970913 . _:b666092734 . _:b665970918 . _:b666092733 . _:b665794052 . _:b665970919 . _:b666092732 . _:b665459582 . _:b665970916 . _:b665794080 . _:b665970917 . _:b665970922 . _:b665970923 . _:b665970920 . _:b665122488 . _:b665459537 . _:b665970921 . _:b665970926 . _:b665970927 . _:b666092708 . _:b665970924 . _:b666092707 . _:b665970925 . _:b666092706 . _:b665970930 . _:b665122482 . _:b665857491 . _:b665793633 . _:b666092705 . _:b665793710 . _:b665970931 . _:b674016857 . _:b665970928 . _:b665970929 . _:b665970934 . _:b674016860 . _:b665970935 . _:b665122485 . _:b666092716 . _:b665970932 . _:b666092715 . _:b674348917 . _:b665970933 . _:b665970938 . . _:b665970939 . _:b665857395 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b666093175 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665970936 . _:b665970937 . _:b665970942 . _:b665795457 . _:b665970943 . _:b665122261 "per discussion with Barry Smith" . _:b665970940 . _:b665970941 . _:b665970818 . _:b665970819 . _:b665795471 . _:b662810219 . _:b665970816 . _:b662810218 . _:b665970817 . _:b665176874 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b674348920 . _:b665970822 . _:b665795464 . _:b665970823 . _:b665970820 . _:b665971096 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665970821 . _:b665970826 . _:b665970827 . _:b665970824 . _:b674348336 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665970825 . _:b665970830 . _:b662810212 . _:b665970831 . _:b665970828 . _:b662810214 . _:b665970829 . _:b665970834 . _:b665970835 . _:b665795213 . _:b665970832 . _:b665795212 . _:b665970833 . _:b675160765 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665795215 . _:b678849950 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665970838 . _:b665795214 . _:b665970839 . _:b665970836 . _:b665970837 . _:b674016867 . _:b662810225 . _:b665970842 . _:b665857001 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b674348315 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665970843 . _:b665970840 . _:b665793588 . _:b665970841 . _:b665793591 . _:b665970846 . _:b665970847 . _:b665970844 . _:b665970845 . _:b663276344 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665970850 . _:b663276523 . _:b665970851 . _:b665970848 . _:b662809887 . _:b665970849 . _:b665970854 . _:b675160396 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665970855 . _:b665970852 . _:b665970853 . _:b665970858 . _:b665970859 . _:b665970856 . _:b665970857 . _:b665970862 . _:b665970942 . _:b665857216 . _:b665970863 . _:b665970860 . _:b665970861 . _:b674016708 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665793627 . _:b665970866 . _:b665970867 . _:b665793629 . _:b665970864 . _:b665970865 . _:b665793631 . _:b678849829 . _:b665970870 . _:b665795596 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b674348394 "requested by Melanie Courtot" . _:b665793630 . _:b665970871 . _:b665970868 . _:b665970869 . _:b662810257 . _:b665970874 . _:b665970875 . _:b665793621 . _:b674016454 . _:b665970872 . _:b665970873 . _:b665970878 . _:b665793622 . _:b678849836 . _:b665970879 . _:b662809969 . _:b675160487 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665970876 . _:b665970877 . _:b665971010 . _:b665971011 . _:b665971008 . _:b665971009 . _:b665971014 . _:b665177090 . _:b665971015 . _:b678849815 . _:b665971012 . _:b665971013 . _:b665971018 . _:b665971019 . _:b665971016 . _:b665971017 . _:b666092806 . _:b665459015 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b666092805 . _:b665971022 . _:b665971023 . _:b665971020 . _:b674348692 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b678849822 . _:b665971021 . _:b666092802 . _:b665971026 . _:b665971027 . _:b666092800 . _:b665971024 . _:b666092815 . _:b665970775 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665971025 . _:b665971030 . _:b666092813 . _:b668716981 _:b668716986 . _:b665971031 . _:b666092936 . _:b665971028 . _:b668716981 _:b668716982 . _:b665971029 . _:b666092810 . _:b665971034 . _:b665971035 . _:b665857450 . _:b666092808 . _:b665971032 . _:b665857449 . _:b666092815 . _:b665971033 . _:b666092814 . _:b678849758 . _:b665971038 . _:b665971039 . _:b668716988 _:b668716989 . _:b665971036 . _:b663277823 . _:b665971037 . _:b665971042 . _:b675160402 . _:b675160403 . _:b675160400 . _:b675160401 . _:b665971043 . _:b675160406 . _:b675160407 . _:b675160404 . _:b675160405 . _:b665971040 . _:b675160410 . _:b675160411 . _:b675160408 . _:b675160409 . _:b665971041 . _:b675160414 . _:b675160415 . _:b665970727 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b675160412 . _:b668716988 _:b668716993 . _:b675160413 . _:b665971046 . _:b675160386 . _:b675160387 . _:b675160384 . _:b675160385 . _:b665971047 . _:b675160390 . _:b675160391 . _:b675160388 . _:b675160389 . _:b665971044 . _:b675160394 . _:b675160395 . _:b675160392 . _:b665793632 . _:b675160393 . _:b665971045 . _:b675160398 . _:b675160399 . _:b675160396 . _:b675160397 . _:b665971050 . _:b675160434 . _:b675160435 . _:b675160432 . _:b675160433 . _:b665971051 . _:b675160438 . _:b675160439 . _:b675160436 . _:b675160437 . _:b665971048 . _:b675160442 . _:b675160443 . _:b675160440 . _:b665793636 . _:b675160441 . _:b665971049 . _:b675160446 . _:b675160447 . _:b675160444 . _:b675160445 . _:b665971054 . _:b668716974 _:b668716975 . _:b675160418 . _:b675160419 . _:b675160416 . _:b675160417 . _:b665971055 . _:b675160422 . _:b675160423 . _:b675160420 . _:b675160421 . _:b665971052 . _:b678850166 . _:b668716974 _:b668716979 . _:b675160426 . _:b675160427 . _:b675160424 . _:b675160425 . _:b665971053 . _:b668716423 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b675160430 . _:b675160431 . _:b675160428 . _:b675160429 . _:b665971058 . _:b675160338 . _:b675160339 . _:b675160336 . _:b675160337 . _:b665971059 . _:b675160342 . _:b665970829 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b675160343 . _:b675160340 . _:b675160341 . _:b665971056 . _:b675160346 . _:b675160347 . _:b675160344 . _:b665857333 . _:b675160345 . _:b665971057 . _:b675160350 . _:b675160351 . _:b675160348 . _:b675160349 . _:b665857418 . _:b665971062 . _:b675160322 . _:b675160323 . _:b665857329 . _:b675160321 . _:b665857419 . _:b665971063 . _:b675160326 . _:b675160327 . _:b678849545 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b675160324 . _:b675160325 . _:b665857420 . _:b665971060 . _:b675160330 . _:b675160331 . _:b675160328 . _:b675160329 . _:b665857421 . _:b665971061 . _:b665857422 . _:b675160334 . _:b675160335 . _:b675160332 . _:b665857330 . _:b665857332 . _:b675160333 . _:b665971066 . _:b665857423 . _:b675160370 . _:b675160371 . _:b675160368 . _:b675160369 . _:b665122291 . _:b665176316 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b675160374 . _:b665971067 . _:b675160375 . _:b675160372 . _:b675160373 . _:b665122290 . _:b665176317 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b675160378 . _:b665971064 . _:b675160379 . _:b675160376 . _:b665857409 . _:b675160377 . _:b665122289 . _:b665971065 . _:b675160382 . _:b675160383 . _:b666093167 . _:b665857410 . _:b675160380 . _:b675160381 . _:b665122288 . _:b665971070 . _:b675160354 . _:b675160355 . _:b668716995 _:b668716996 . _:b675160352 . _:b675160353 . _:b665971071 . _:b675160358 . _:b675160359 . _:b675160356 . _:b665857342 . _:b675160357 . _:b665971068 . _:b675160362 . _:b675160363 . _:b668716995 _:b668717000 . _:b666093318 . _:b675160360 . _:b665857343 . _:b675160361 . _:b665971069 . _:b675160366 . _:b665970731 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b675160367 . _:b675160364 . _:b675160365 . _:b665970946 . _:b675160530 . _:b675160531 . _:b665459219 . _:b675160528 . _:b675160529 . _:b665970947 . _:b675160534 . _:b675160535 . _:b675160532 . _:b675160533 . _:b665970944 . _:b675160538 . _:b675160539 . _:b675160536 . _:b675160537 . _:b665970945 . _:b675160542 . _:b675160543 . _:b675160540 . _:b675160541 . _:b665970950 . _:b675160514 . _:b675160515 . _:b675160512 . _:b675160513 . _:b665970951 . _:b668379089 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b675160518 . _:b675160519 . _:b675160516 . _:b675160517 . _:b665970948 . _:b675160522 . _:b666093170 . _:b675160523 . _:b675160520 . _:b675160521 . _:b665970949 . _:b675160526 . _:b666093151 . _:b666093171 . _:b675160527 . _:b666093155 . _:b675160524 . _:b675160525 . _:b665970954 . _:b675160562 . _:b675160563 . _:b675160560 . _:b675160561 . _:b665970955 . _:b675160566 . _:b675160567 . _:b675160564 . _:b675160565 . _:b665970952 . _:b675160570 . _:b675160571 . _:b675160568 . _:b675160569 . _:b665970953 . _:b665793935 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b675160574 . _:b675160575 . _:b675160572 . _:b665459205 . _:b675160573 . _:b665970958 . _:b675160546 . _:b666093143 . _:b675160547 . _:b675160544 . _:b675160545 . _:b665122287 . _:b665795766 . _:b675160550 . _:b665970959 . _:b675160551 . _:b675160548 . _:b675160549 . _:b665970956 . _:b675160554 . _:b675160555 . _:b675160552 . _:b675160553 . _:b665970957 . _:b675160558 . _:b675160559 . _:b674016501 . _:b675160556 . _:b675160557 . _:b665970962 . _:b675160466 . _:b666093177 . _:b675160467 . _:b666093176 . _:b675160464 . _:b675160465 . _:b665970963 . _:b675160470 . _:b666093176 . _:b675160471 . _:b675160468 . _:b675160469 . _:b665970960 . _:b675160474 . _:b675160475 . _:b675160472 . _:b675160473 . _:b665970961 . _:b675160478 . _:b675160479 . _:b675160476 . _:b665793677 . _:b675160477 . _:b665793571 . _:b665459212 . _:b675160450 . _:b665970966 . _:b675160451 . _:b666093172 . _:b665793562 . _:b675160448 . _:b675160449 . _:b678849532 . _:b665793563 . _:b665970967 . _:b665793570 . _:b675160454 . _:b675160455 . _:b675160452 . _:b665793564 . _:b665857295 . _:b665176849 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b678849533 . _:b665793561 . _:b675160453 . _:b668378634 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665793569 . _:b665793573 . _:b665793581 . _:b675160458 . _:b665970964 . _:b675160459 . _:b666093138 . _:b665857294 . _:b675160456 . _:b675160457 . _:b678849534 . _:b665793568 . _:b665970965 . _:b674016379 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665793572 . _:b675160462 . _:b675160463 . _:b675160460 . _:b675160461 . _:b678849535 . _:b665970970 . _:b675160498 . _:b675160499 . _:b665793560 . _:b665793566 . _:b675160496 . _:b665793714 . _:b675160497 . _:b678849528 . _:b665970971 . _:b675160502 . _:b675160503 . _:b665793567 . _:b666093137 . _:b675160500 . _:b675160501 . _:b665970968 . _:b675160506 . _:b675160507 . _:b675160504 . _:b665857442 . _:b675160505 . _:b678849530 . _:b665793565 . _:b665970969 . _:b675160510 . _:b675160511 . _:b675160508 . _:b665857441 . _:b675160509 . _:b678849531 . _:b665970974 . _:b675160482 . _:b675160483 . _:b666093132 . _:b675160480 . _:b675160481 . _:b665970975 . _:b675160486 . _:b675160487 . _:b665793557 . _:b675160484 . _:b675160485 . _:b665793579 . _:b665970972 . _:b675160490 . _:b675160491 . _:b675160488 . _:b675160489 . _:b665970973 . _:b675160494 . _:b675160495 . _:b675160492 . _:b665793707 . _:b665970830 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b678849527 . _:b665793559 . _:b675160493 . _:b665122140 . _:b665970978 . _:b665793558 . _:b665793580 . _:b665970979 . _:b665795581 . _:b665970976 . _:b663277731 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665970977 . _:b665795583 . _:b665857295 . _:b674348888 . _:b665793545 . _:b665970982 . _:b665795582 . _:b665857294 . _:b665793544 . _:b665970983 . _:b665793546 . _:b665970980 . _:b665970981 . _:b665970986 . _:b663276387 . _:b663277851 . _:b665970987 . _:b665970984 . _:b665970985 . _:b666093151 . _:b666093141 . _:b665793536 . _:b665970990 . _:b666093152 . _:b666093142 . _:b665970991 . _:b666093143 . _:b665970988 . _:b665970989 . _:b665970994 . _:b666092799 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665970995 . _:b665459214 . _:b665793539 . _:b665970992 . _:b665793542 . _:b665793541 . _:b665793538 . _:b665793537 . _:b665970993 . _:b665793543 . _:b665793540 . _:b665459212 . _:b665857398 . _:b665459210 . _:b665970998 . _:b665970999 . _:b665459210 . _:b665970996 . _:b665122501 . _:b666093144 . _:b665970997 . _:b666093145 . _:b665857396 . _:b665459214 . _:b665971002 . _:b665971003 . _:b665459200 . _:b665971000 . _:b665459207 . _:b665459203 . _:b665971001 . _:b665793549 . _:b665971006 . _:b674016339 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665793634 . _:b665857407 . _:b665459205 . _:b665793548 . _:b678849492 . _:b665971007 . _:b665857400 . _:b678849493 . _:b665971004 . _:b665459203 . _:b665793550 . _:b665459207 . _:b665971005 . _:b665459200 . _:b665793551 . _:b665857402 . _:b665857404 . _:b665971138 . _:b665794029 . _:b668716599 . _:b665857405 . _:b665971139 . _:b665793547 . _:b665971136 . _:b663276312 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665857381 . _:b665971137 . _:b674016926 . _:b665794071 . _:b665971142 . _:b668716597 . _:b665793578 . _:b665971143 . _:b665793553 . _:b665971140 . _:b665793555 . _:b665793552 . _:b665971141 . _:b665793577 . _:b665459134 . _:b665971146 . _:b665459217 . _:b665971147 . _:b665793556 . _:b674016926 . _:b665971144 . _:b665793554 . _:b665857389 . _:b678849668 . _:b665971145 . _:b665857592 . _:b665971026 . _:b665971027 . _:b668378707 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665793576 . _:b665971024 . _:b665459221 . _:b665971150 . _:b665971025 . _:b665971030 . _:b665857391 . _:b666093116 . _:b665971031 . _:b665459221 . _:b665971028 . _:b665971151 . _:b665971029 . _:b665971034 . _:b665971035 . _:b665971032 . _:b665971148 . _:b665971033 . _:b665971038 . _:b665857385 . _:b665459219 . _:b665971039 . _:b674348298 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665971036 . _:b665971149 . _:b665971037 . _:b665971010 . _:b665971011 . _:b665971008 . _:b665459217 . _:b665971154 . _:b665971009 . _:b665971014 . _:b665971015 . _:b665971012 . _:b665971155 . _:b665971013 . _:b665971018 . _:b665793575 . _:b665971019 . _:b665971016 . _:b665971152 . _:b665459341 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665971017 . _:b665971022 . _:b665793574 . _:b665971023 . _:b674016937 . _:b665971020 . _:b665971153 . _:b665971021 . _:b665971058 . _:b674016942 . _:b665857360 . _:b665971059 . _:b666093139 . _:b665971056 . _:b665971158 . _:b665971057 . _:b665971062 . _:b665857367 . _:b665971063 . _:b665971060 . _:b674016940 . _:b665971159 . _:b665971061 . _:b665971066 . _:b665971067 . _:b665971064 . _:b665971156 . _:b665971065 . _:b665971070 . _:b665857361 . _:b665971071 . _:b666093140 . _:b665971068 . _:b665971157 . _:b665971069 . _:b665971042 . _:b665971043 . _:b674016940 . _:b665971040 . _:b665971162 . _:b665971041 . _:b665971046 . _:b665971047 . _:b665971044 . _:b666093041 . _:b665971163 . _:b665971045 . _:b665971050 . _:b665971051 . _:b665971048 . _:b674016937 . _:b665971160 . _:b665971049 . _:b665971054 . _:b665459091 . _:b665971055 . _:b665971052 . _:b665971161 . _:b665971053 . _:b665795138 . _:b665857374 . . _:b665970962 . _:b665970963 . _:b665970960 . _:b665971166 . _:b665970961 . _:b665459267 . _:b674016935 . _:b665970966 . _:b665795139 . _:b665970967 . _:b665970964 . _:b665971167 . _:b665970965 . _:b665795136 . _:b665970970 . _:b665970971 . _:b674016930 . _:b665970968 . _:b674016933 . _:b666093174 . _:b665971164 . _:b665970969 . _:b665795137 . _:b665970974 . _:b663276559 . _:b674016933 . _:b665970975 . _:b665970972 . _:b674016930 . _:b666093175 . _:b665971165 . _:b665970973 . _:b665795142 . _:b665970946 . _:b665970947 . _:b666093079 . _:b663276554 . _:b675160914 . _:b666093172 . _:b665971170 . _:b665970944 . _:b663276557 . _:b675160915 . _:b665970945 . _:b665176317 . _:b663277689 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b675160912 . _:b665970950 . _:b665795143 . _:b665970951 . _:b675160913 . _:b663276557 . _:b675160918 . _:b666093173 . _:b665971171 . _:b665970948 . _:b665176316 . _:b675160919 . _:b665970949 . _:b663276554 . _:b665176392 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b674016928 . _:b675160916 . _:b665970954 . _:b665795140 . _:b665970955 . _:b675160917 . _:b666093081 . _:b665970952 . _:b675160922 . _:b665971168 . _:b665970953 . _:b675160923 . _:b665795141 . _:b675160920 . _:b665970958 . _:b665970959 . _:b675160921 . _:b666093080 . _:b665970956 . _:b675160926 . _:b665971169 . _:b665970957 . _:b675160927 . _:b665795146 . _:b675160924 . _:b665459098 . _:b665970994 . _:b663276552 . _:b675160925 . _:b666093083 . _:b665970995 . _:b665970992 . _:b675160898 . _:b665971174 . _:b665970993 . _:b675160899 . _:b665795147 . _:b675160896 . _:b665970998 . _:b665795430 . _:b665970999 . _:b675160897 . _:b666093082 . _:b665970996 . _:b675160902 . _:b665971175 . _:b663276550 . _:b665857354 . _:b675160903 . _:b665970997 . _:b665795144 . _:b665857344 . _:b675160900 . _:b665971002 . _:b665971003 . _:b675160901 . _:b666093085 . _:b665971000 . _:b675160906 . _:b665971172 . _:b665971001 . _:b675160907 . _:b665795145 . _:b675160904 . _:b665971006 . _:b665971007 . _:b675160905 . _:b666093084 . _:b665971004 . _:b675160910 . _:b665971173 . _:b665971005 . _:b665857352 . _:b675160911 . _:b665795150 . _:b675160908 . _:b665970978 . _:b665970979 . _:b675160909 . _:b665970976 . _:b665793956 . _:b675160946 . _:b665971178 . _:b665970977 . _:b665857353 . _:b675160947 . _:b665795151 . _:b675160944 . _:b665970982 . _:b665970983 . _:b675160945 . _:b665970980 . _:b675160950 . _:b665971179 . _:b665970981 . _:b668716595 . _:b665857350 . _:b675160951 . _:b665795148 . _:b665857356 . _:b675160948 . _:b665970986 . _:b665970987 . _:b675160949 . _:b665970984 . _:b675160954 . _:b665971176 . _:b665970985 . _:b668716593 . _:b668716582 . _:b665857351 . _:b675160955 . _:b665795149 . _:b665857355 . _:b665176991 . _:b675160952 . _:b666093086 . _:b665970990 . _:b665970991 . _:b675160953 . _:b665970988 . _:b675160958 . _:b665971177 . _:b665970989 . _:b675160959 . _:b665795154 . _:b675160956 . _:b665971154 . _:b665971155 . _:b674016944 . _:b675160957 . _:b663276550 . _:b674016951 . _:b668716596 . _:b665793977 . _:b675160930 . _:b665971182 . _:b665971152 . _:b665176352 . _:b665857349 . _:b675160931 . _:b665971153 . _:b665795155 . _:b675160928 . _:b665971158 . _:b665971159 . _:b674016947 . _:b675160929 . _:b665971156 . _:b665793982 . _:b675160934 . _:b665971183 . _:b665971157 . _:b675160935 . _:b665795152 . _:b675160932 . _:b665971162 . _:b665971163 . _:b668716598 . _:b675160933 . _:b663276568 . _:b675160938 . _:b665971180 . _:b665971160 . _:b663276575 . _:b675160939 . _:b665971161 . _:b665795153 . _:b674016949 . _:b675160936 . _:b665971166 . _:b665971167 . _:b675160937 . _:b663276571 . _:b675160942 . _:b665971181 . _:b665971164 . _:b665971165 . _:b675160943 . _:b665795158 . _:b675160940 . _:b665971138 . _:b665971139 . _:b675160941 . _:b665971136 . _:b674016947 . _:b675160850 . _:b665971186 . _:b665971137 . _:b675160851 . _:b665795159 . _:b675160848 . _:b665971142 . _:b663276573 . _:b674016951 . _:b668716601 . _:b675160849 . _:b665971143 . _:b665971140 . _:b674016944 . _:b675160854 . _:b665971187 . _:b665971141 . _:b675160855 . _:b665795156 . _:b668716602 . _:b675160852 . _:b665971146 . _:b665971147 . _:b675160853 . _:b665971144 . _:b675160858 . _:b666093125 . _:b665971184 . _:b663276571 . _:b668716603 . _:b675160859 . _:b665971145 . _:b665795157 . _:b675160856 . _:b665459083 . _:b665971150 . _:b665971151 . _:b675160857 . _:b663276575 . _:b668716604 . _:b675160862 . _:b666093124 . _:b665971185 . _:b665971148 . _:b663276568 . _:b675160863 . _:b665971149 . _:b665795162 . _:b675160860 . _:b665971186 . _:b665971187 . _:b675160861 . _:b665971184 . _:b675160834 . _:b665971190 . _:b665971185 . _:b675160835 . _:b665795163 . _:b675160832 . _:b665459085 . _:b665971190 . _:b665971191 . _:b675160833 . _:b663276561 . _:b675160838 . _:b665971191 . _:b665971188 . _:b665971189 . _:b675160839 . _:b665795160 . _:b675160836 . _:b665971194 . _:b663276566 . _:b675160837 . _:b665971195 . _:b665971192 . _:b675160842 . _:b665971188 . _:b665971193 . _:b675160843 . _:b665795161 . _:b675160840 . _:b665971198 . _:b665971199 . _:b675160841 . _:b665971196 . _:b675160846 . _:b665971189 . _:b663276564 . _:b675160847 . _:b665971197 . _:b665795166 . _:b675160844 . _:b665971170 . _:b665971171 . _:b675160845 . _:b665971168 . _:b675160882 . _:b666093123 . _:b665971194 . _:b665971169 . _:b675160883 . _:b665795167 . _:b675160880 . _:b665971174 . _:b665971175 . _:b675160881 . _:b665971172 . _:b675160886 . _:b666093122 . _:b665971195 . _:b665971173 . _:b675160887 . _:b665795164 . _:b675160884 . _:b665971178 . _:b665971179 . _:b675160885 . _:b663276564 . _:b665793566 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b675160890 . _:b665971192 . _:b665971176 . _:b665971177 . _:b675160891 . _:b665795165 . _:b675160888 . _:b665971182 . _:b665971183 . _:b675160889 . _:b665971180 . _:b675160894 . _:b665971193 . _:b665971181 . _:b675160895 . _:b665795170 . _:b675160892 . _:b665971090 . _:b665971091 . _:b675160893 . _:b665971088 . _:b675160866 . _:b665971198 . _:b663276561 . _:b675160867 . _:b665971089 . _:b665795171 . _:b675160864 . _:b665971094 . _:b665971095 . _:b675160865 . _:b665971092 . _:b675160870 . _:b665971199 . _:b665971093 . _:b675160871 . _:b665795168 . _:b675160868 . _:b665971098 . _:b665971099 . _:b675160869 . _:b665971096 . _:b675160874 . _:b665971196 . _:b665971097 . _:b675160875 . _:b665795169 . _:b675160872 . _:b665971102 . _:b665971103 . _:b675160873 . _:b665971100 . _:b675160878 . _:b665971197 . _:b665971101 . _:b675160879 . _:b665795174 . _:b675160876 . _:b665971074 . _:b665971075 . _:b675160877 . _:b665971072 . _:b675161042 . _:b665971074 . _:b665971073 . _:b675161043 . _:b665795175 . _:b675161040 . _:b665971078 . _:b665971079 . _:b675161041 . _:b665971076 . _:b675161046 . _:b665971075 . _:b665971077 . _:b675161047 . _:b665795172 . _:b665857444 . _:b675161044 . _:b665971082 . _:b665971083 . _:b675161045 . _:b665971080 . _:b675161050 . _:b665971072 . _:b665971081 . _:b675161051 . _:b666093071 . _:b666093112 . _:b665795173 . _:b665857443 . _:b675161048 . _:b665971086 . _:b665971087 . _:b675161049 . _:b665971084 . _:b675161054 . _:b665971073 . _:b665971085 . _:b675161055 . _:b666093113 . _:b666093070 . _:b665795178 . _:b665857446 . _:b675161052 . _:b665971122 . _:b665971123 . _:b675161053 . _:b665971120 . _:b674016748 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b675161026 . _:b665971078 . _:b665971121 . _:b675161027 . _:b666093069 . _:b666093114 . _:b665795179 . _:b675161024 . _:b665971126 . _:b665971127 . _:b675161025 . _:b665971124 . _:b675161030 . _:b665971079 . _:b665971125 . _:b675161031 . _:b666093115 . _:b665795176 . _:b675161028 . _:b665971130 . _:b665971131 . _:b675161029 . _:b665971128 . _:b675161034 . _:b665971076 . _:b665971129 . _:b675161035 . _:b665795177 . _:b665857441 . _:b675161032 . _:b665971134 . _:b665971135 . _:b675161033 . _:b665971132 . _:b675161038 . _:b665971077 . _:b665971133 . _:b675161039 . _:b665795182 . _:b675161036 . _:b665971106 . _:b665971107 . _:b675161037 . _:b665971104 . _:b665971082 . _:b665971105 . _:b665795183 . _:b665971110 . _:b665971111 . _:b665971108 . _:b665971083 . _:b665971109 . _:b666093119 . _:b665795180 . _:b665971114 . _:b665971115 . _:b665971112 . _:b665971080 . _:b665971113 . _:b666093088 . _:b665795181 . _:b665971118 . _:b665971119 . _:b665971116 . _:b665971081 . _:b665971117 . _:b665795186 . _:b665459170 . _:b665970770 . _:b665970771 . _:b665970768 . _:b675161058 . _:b665971086 . _:b665970769 . _:b666093077 . _:b665795187 . _:b675161056 . _:b665970774 . _:b665970775 . _:b675161057 . _:b665970772 . _:b665971087 . _:b665970773 . _:b666093076 . _:b665795184 . _:b665857448 . _:b665970778 . _:b665970779 . _:b665970776 . _:b665971084 . _:b665970777 . _:b666093075 . _:b665795185 . _:b665970782 . _:b665970783 . _:b665970780 . _:b665971085 . _:b665970781 . _:b666093074 . _:b665795190 . _:b665970754 . _:b665970755 . _:b665970752 . _:b675160978 . _:b665971090 . _:b665970753 . _:b675160979 . _:b666093094 . _:b666093073 . _:b665795191 . _:b675160976 . _:b665970758 . _:b665970759 . _:b675160977 . _:b665970756 . _:b675160982 . _:b665971091 . _:b665970757 . _:b675160983 . _:b666093072 . _:b665795188 . _:b675160980 . _:b665970762 . _:b665970763 . _:b675160981 . _:b665970760 . _:b675160986 . _:b665971088 . _:b665970761 . _:b675160987 . _:b665795189 . _:b675160984 . _:b665970766 . _:b665970767 . _:b675160985 . _:b665970764 . _:b675160990 . _:b665971089 . _:b665970765 . _:b675160991 . _:b665795194 . _:b675160988 . _:b665970802 . _:b665970803 . _:b675160989 . _:b665970800 . _:b665793946 . _:b675160962 . _:b665971094 . _:b665970801 . _:b675160963 . _:b665795195 . _:b665793944 . _:b675160960 . _:b665970806 . _:b665970807 . _:b675160961 . _:b665970804 . _:b665793947 . _:b675160966 . _:b665971095 . _:b665970805 . _:b675160967 . _:b666093099 . _:b665795192 . _:b665857424 . _:b675160964 . _:b665459150 . _:b665970810 . _:b665970811 . _:b675160965 . _:b665970808 . _:b675160970 . _:b665971092 . _:b665970809 . _:b675160971 . _:b666093100 . _:b665795193 . _:b665857431 . _:b675160968 . _:b665970814 . _:b665970815 . _:b675160969 . _:b665970812 . _:b675160974 . _:b665971093 . _:b665970813 . _:b675160975 . _:b665795198 . _:b675160972 . _:b665970786 . _:b665970787 . _:b675160973 . _:b665970784 . _:b675161010 . _:b665971098 . _:b665970785 . _:b675161011 . _:b665795199 . _:b675161008 . _:b665970790 . _:b665970791 . _:b675161009 . _:b665970788 . _:b675161014 . _:b665971099 . _:b665970789 . _:b675161015 . _:b665795196 . _:b665857436 . _:b675161012 . _:b665970794 . _:b665970795 . _:b675161013 . _:b665970792 . _:b675161018 . _:b665971096 . _:b665970793 . _:b675161019 . _:b666093072 . _:b665795197 . _:b675161016 . _:b665970798 . _:b665970799 . _:b675161017 . _:b665970796 . _:b675161022 . _:b665971097 . _:b665970797 . _:b675161023 . _:b666093073 . _:b665970706 . _:b675161020 . _:b665970707 . _:b675161021 . _:b665970704 . _:b675160994 . _:b665971102 . _:b665970705 . _:b675160995 . _:b665795502 . _:b675160992 . _:b665970710 . _:b665970711 . _:b665793945 . _:b675160993 . _:b665970708 . _:b675160998 . _:b665971103 . _:b665970709 . _:b675160999 . _:b665970714 . _:b675160996 . _:b665970715 . _:b675160997 . _:b665970712 . _:b668379042 . _:b675161002 . _:b665971100 . _:b665970713 . _:b665793936 . _:b675161003 . _:b665970718 . _:b665857433 . _:b675161000 . _:b665970719 . _:b675161001 . _:b665970716 . _:b668379043 . _:b675161006 . _:b665971101 . _:b665970717 . _:b675161007 . _:b665970690 . _:b675161004 . _:b665970691 . _:b675161005 . _:b665970688 . _:b675160658 . _:b665971106 . _:b665970689 . _:b675160659 . _:b665970694 . _:b675160656 . _:b665970695 . _:b675160657 . _:b665970692 . _:b668379041 . _:b675160662 . _:b665971107 . _:b665970693 . _:b675160663 . _:b665970698 . _:b665793943 . _:b675160660 . _:b665970699 . _:b675160661 . _:b665970696 . _:b675160666 . _:b665971104 . _:b665970697 . _:b675160667 . _:b665970702 . _:b665857413 . _:b675160664 . _:b665970703 . _:b675160665 . _:b665970700 . _:b675160670 . _:b665971105 . _:b665970701 . _:b675160671 . _:b665970738 . _:b665793931 . _:b675160668 . _:b665970739 . _:b675160669 . _:b665970736 . _:b675160642 . _:b665971110 . _:b665970737 . _:b675160643 . _:b666093082 . _:b665970742 . _:b675160640 . _:b665970743 . _:b665793930 . _:b675160641 . _:b665970740 . _:b675160646 . _:b665971111 . _:b665970741 . _:b675160647 . _:b666093083 . _:b665122492 . _:b675160644 . _:b665970746 . _:b665970747 . _:b675160645 . _:b665970744 . _:b675160650 . _:b665971108 . _:b665970745 . _:b675160651 . _:b665970750 . _:b665793933 . _:b665857409 . _:b675160648 . _:b665970751 . _:b665793928 . _:b675160649 . _:b665970748 . _:b675160654 . _:b665971109 . _:b665176351 . _:b675160655 . _:b665970749 . _:b665970722 . _:b675160652 . _:b665970723 . _:b665793934 . _:b675160653 . _:b665970720 . _:b675160690 . _:b665971114 . _:b665970721 . _:b675160691 . _:b665970726 . _:b665857411 . _:b675160688 . _:b665970727 . _:b675160689 . _:b665970724 . _:b675160694 . _:b665971115 . _:b665970725 . _:b665793929 . _:b665793935 . _:b675160695 . _:b666093087 . _:b665970730 . _:b675160692 . _:b665970731 . _:b665793932 . _:b675160693 . _:b665970728 . _:b675160698 . _:b665971112 . _:b665970729 . _:b675160699 . _:b665970734 . _:b675160696 . _:b665970735 . _:b675160697 . _:b665970732 . _:b675160702 . _:b665971113 . _:b665970733 . _:b675160703 . _:b665970898 . _:b665857422 . _:b675160700 . _:b665970899 . _:b675160701 . _:b665970896 . _:b675160674 . _:b665971118 . _:b665970897 . _:b675160675 . _:b665970902 . _:b675160672 . _:b665970903 . _:b675160673 . _:b665970900 . _:b675160678 . _:b665971119 . _:b665970901 . _:b675160679 . _:b665970906 . _:b665857416 . _:b675160676 . _:b666093003 . _:b665970907 . _:b675160677 . _:b665970904 . _:b675160682 . _:b665971116 . _:b665970905 . _:b665793926 . _:b675160683 . _:b665970910 . _:b675160680 . _:b665970911 . _:b675160681 . _:b665970908 . _:b675160686 . _:b665971117 . _:b665970909 . _:b675160687 . _:b665970882 . _:b665793927 . _:b675160684 . _:b665970883 . _:b675160685 . _:b665970880 . _:b675160594 . _:b665971122 . _:b665970881 . _:b675160595 . _:b665970886 . _:b675160592 . _:b665970887 . _:b675160593 . _:b665970884 . _:b675160598 . _:b665971123 . _:b665970885 . _:b675160599 . _:b665970890 . _:b675160596 . _:b665970891 . _:b675160597 . _:b665970888 . _:b675160602 . _:b665971120 . _:b665970889 . _:b675160603 . _:b665970894 . _:b675160600 . _:b665970895 . _:b675160601 . _:b665970892 . _:b675160606 . _:b665971121 . _:b665970893 . _:b675160607 . _:b665970930 . _:b675160604 . _:b665970931 . _:b675160605 . _:b665970928 . _:b675160578 . _:b665971126 . _:b665970929 . _:b675160579 . _:b665795510 . _:b665793922 . _:b675160576 . _:b665970934 . _:b665970935 . _:b675160577 . _:b662810084 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b675160582 . _:b665971127 . _:b665970932 . _:b665970933 . _:b675160583 . _:b665970938 . _:b665793921 . _:b675160580 . _:b665970939 . _:b675160581 . _:b665970936 . _:b675160586 . _:b665971124 . _:b665970937 . _:b675160587 . _:b665795528 . _:b675160584 . _:b665970942 . _:b665970943 . _:b668379076 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b675160585 . _:b665970940 . _:b675160590 . _:b665971125 . _:b665970941 . _:b675160591 . _:b665970914 . _:b675160588 . _:b665970915 . _:b675160589 . _:b665970912 . _:b665793925 . _:b675160626 . _:b665971130 . _:b665970913 . _:b665793920 . _:b675160627 . _:b665970918 . _:b675160624 . _:b665970919 . _:b675160625 . _:b665970916 . _:b665793924 . _:b675160630 . _:b665971131 . _:b665970917 . _:b675160631 . _:b666093071 . _:b666092996 . _:b665970922 . _:b675160628 . _:b665970923 . _:b675160629 . _:b665970920 . _:b675160634 . _:b665971128 . _:b665970921 . _:b675160635 . _:b665970926 . _:b675160632 . _:b665970927 . _:b675160633 . _:b665970924 . _:b675160638 . _:b665971129 . _:b665970925 . _:b665793923 . _:b675160639 . _:b665795106 . _:b675160636 . _:b665970834 . _:b665970835 . _:b675160637 . _:b665970832 . _:b675160610 . _:b665971134 . _:b665458971 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b675160611 . _:b665970833 . _:b665795107 . _:b675160608 . _:b662809868 . _:b665970838 . _:b665970839 . _:b675160609 . _:b665459476 . _:b665970836 . _:b675160614 . _:b665971135 . _:b665970837 . _:b675160615 . _:b665970842 . _:b675160612 . _:b665970843 . _:b675160613 . _:b665970840 . _:b675160618 . _:b665971132 . _:b665970841 . _:b675160619 . _:b665970846 . _:b675160616 . _:b665970847 . _:b675160617 . _:b665970844 . _:b675160622 . _:b665971133 . _:b665970845 . _:b675160623 . _:b665795110 . _:b675160620 . _:b665970818 . _:b665970819 . _:b675160621 . _:b665970816 . _:b675160786 . _:b665970817 . _:b674016817 . _:b675160787 . _:b665795111 . _:b675160784 . _:b665970822 . _:b665970823 . _:b675160785 . _:b665970820 . _:b665857369 . _:b675160790 . _:b665970821 . _:b675160791 . _:b665795108 . _:b675160788 . _:b665970826 . _:b665970827 . _:b675160789 . _:b663277872 . _:b675160794 . _:b665970824 . _:b665970825 . _:b675160795 . _:b666093090 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b675160792 . _:b665970830 . _:b665795109 . _:b665970831 . _:b675160793 . _:b665970828 . _:b665857371 . _:b675160798 . _:b666093010 . _:b665970829 . _:b675160799 . _:b665795114 . _:b675160796 . _:b665970866 . _:b665970867 . _:b675160797 . _:b665970864 . _:b665793939 . _:b665857370 . _:b675160770 . _:b665970865 . _:b675160771 . _:b665795115 . _:b675160768 . _:b665970870 . _:b665970871 . _:b675160769 . _:b665970868 . _:b665793942 . _:b665793950 . _:b665793938 . _:b665857373 . _:b675160774 . _:b665970869 . _:b675160775 . _:b665795112 . _:b666092916 . _:b675160772 . _:b665970874 . _:b665970875 . _:b665793937 . _:b675160773 . _:b665970872 . _:b665793941 . _:b665857372 . _:b675160778 . _:b665970873 . _:b675160779 . _:b665795113 . _:b675160776 . _:b665970878 . _:b665970879 . _:b675160777 . _:b665970876 . _:b665857375 . _:b675160782 . _:b665970877 . _:b675160783 . _:b665795118 . _:b674348548 . _:b675160780 . _:b665970850 . _:b665970851 . _:b675160781 . _:b665970848 . _:b665857374 . _:b675160818 . _:b665970849 . _:b675160819 . _:b665795119 . _:b674348551 . _:b666092919 . _:b675160816 . _:b665970854 . _:b665970855 . _:b675160817 . _:b665970852 . _:b675160822 . _:b666093167 . _:b665970853 . _:b675160823 . _:b665795116 . _:b675160820 . _:b665970858 . _:b665970859 . _:b675160821 . _:b665970856 . _:b675160826 . _:b666093168 . _:b665970857 . _:b675160827 . _:b665795117 . _:b675160824 . _:b665970862 . _:b665970863 . _:b665793940 . _:b675160825 . _:b665970860 . _:b675160830 . _:b666093169 . _:b665970861 . _:b675160831 . _:b665795122 . _:b675160828 . _:b675160829 . _:b665794041 . _:b675160802 . _:b675160803 . _:b665795123 . _:b666092923 . _:b675160800 . _:b675160801 . _:b675160806 . _:b675160807 . _:b665795120 . _:b675160804 . _:b675160805 . _:b675160810 . _:b666093156 . _:b675160811 . _:b665795121 . _:b675160808 . _:b675160809 . _:b675160814 . _:b675160815 . _:b665795126 . _:b666092926 . _:b675160812 . _:b675160813 . _:b665793949 . _:b675160722 . _:b675160723 . _:b665795127 . _:b674348388 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b675160720 . _:b675160721 . _:b665793948 . _:b675160726 . _:b675160727 . _:b665795124 . _:b675160724 . _:b675160725 . _:b675160730 . _:b675160731 . _:b665795125 . _:b675160728 . _:b675160729 . _:b675160734 . _:b675160735 . _:b665795130 . _:b675160732 . _:b675160733 . _:b675160706 . _:b666093162 . _:b675160707 . _:b665122402 . _:b675160704 . _:b665795131 . _:b675160705 . _:b675160710 . _:b666093163 . _:b665857389 . _:b675160711 . _:b665795128 . _:b675160708 . _:b665857643 . _:b675160709 . _:b675160714 . _:b675160715 . _:b665795129 . _:b675160712 . _:b665121865 . _:b675160713 . _:b675160718 . _:b675160719 . _:b665795134 . _:b675160716 . _:b675160717 . _:b675160754 . _:b675160755 . _:b665857390 . _:b665795135 . _:b668378673 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b675160752 . _:b675160753 . _:b675160758 . _:b665857377 . _:b675160759 . _:b665795132 . _:b675160756 . _:b675160757 . _:b675160762 . _:b665857376 . _:b662809852 . _:b675160763 . _:b665795133 . _:b675160760 . _:b675160761 . _:b675160766 . _:b675160767 . _:b665795266 . _:b675160764 . _:b675160765 . _:b675160738 . _:b665857378 . _:b675160739 . _:b665795267 . _:b675160736 . _:b675160737 . _:b675160742 . _:b675160743 . _:b665795264 . _:b675160740 . _:b675160741 . _:b675160746 . _:b662809858 . _:b675160747 . _:b665795265 . _:b675160744 . _:b675160745 . _:b675160750 . _:b665795288 "1"^^ . _:b675160751 . _:b665795270 . _:b675160748 . _:b666092989 . _:b675160749 . _:b665795271 . _:b665795268 . _:b666093100 . _:b665795269 . _:b666093101 . _:b665795274 . _:b666093102 . _:b665795275 . _:b666093103 . _:b665795272 . _:b674348707 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665795273 . _:b666093097 . _:b668379003 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b666093182 . _:b665795278 . _:b665459450 . _:b666093098 . _:b666093181 . _:b665795279 . _:b674016583 . _:b666093099 . _:b666093180 . _:b665795276 . _:b665793872 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665795287 "1"^^ . _:b665795277 . _:b665793776 . _:b665795282 . _:b665795118 . _:b665795283 . _:b665459513 . _:b666093123 . _:b665795280 . _:b665795281 . _:b665121873 . _:b665795286 . _:b665795287 . _:b665795284 . _:b665857074 . _:b675160469 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665795285 . _:b665857077 . _:b666093129 . _:b665795290 . _:b665795291 . _:b665857079 . _:b665795288 . _:b665857072 . _:b665795289 . _:b665177087 . _:b665795294 . _:b665795295 . _:b665857075 . _:b665795292 . _:b665795293 . _:b665795298 . _:b665795299 . _:b665795296 . _:b665795297 . _:b665793425 . _:b665459303 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665795302 . _:b665795303 . _:b665121891 . _:b665795300 . _:b665795301 . _:b665795306 . _:b678849914 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665795307 . _:b678849847 . _:b665795304 . _:b665857062 . _:b665793434 . _:b665795305 . _:b665795310 . _:b665795122 . _:b665793432 . _:b665795311 . _:b665795308 . _:b665793438 . _:b665795309 . _:b665795314 . _:b665971282 . _:b665971283 . _:b665971280 . _:b665971281 . _:b665795315 . _:b665971286 . _:b665971287 . _:b665971284 . _:b665971285 . _:b665795312 . _:b665857064 . _:b665971290 . _:b665971291 . _:b665793410 . _:b665971288 . _:b665971289 . _:b665795313 . _:b665971294 . _:b665971295 . _:b668716890 . _:b665971292 . _:b665971293 . _:b665795318 . _:b668716891 . _:b665971266 . _:b665971267 . _:b665793408 . _:b665971264 . _:b665971265 . _:b665795319 . _:b665857067 . _:b665971270 . _:b665971271 . _:b665971268 . _:b665459566 . _:b665971269 . _:b665795316 . _:b665857044 . _:b665971274 . _:b665971275 . _:b665793414 . _:b668716889 . _:b665971272 . _:b665971273 . _:b665795317 . _:b665793439 . _:b665971278 . _:b665971279 . _:b665459162 . _:b665971276 . _:b665971277 . _:b665795322 . _:b665971314 . _:b665971315 . _:b665971312 . _:b665971313 . _:b665795323 . _:b665857047 . _:b665971318 . _:b665971319 . _:b665971316 . _:b665971317 . _:b665795320 . _:b665857040 . _:b665971322 . _:b665971323 . _:b665971320 . _:b665971321 . _:b665795321 . _:b665971326 . _:b665971327 . _:b665971324 . _:b665971325 . _:b674348323 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665795326 . _:b665857042 . _:b665971298 . _:b665971299 . _:b665459566 . _:b665971296 . _:b665971297 . _:b665795327 . _:b665971302 . _:b665971303 . _:b665971300 . _:b665971301 . _:b665795324 . _:b665971306 . _:b665971307 . _:b678850037 . _:b665971304 . _:b665971305 . _:b665795325 . _:b665857053 . _:b665971310 . _:b665795332 . _:b665971311 . _:b665793421 . _:b665971308 . _:b665971309 . _:b665795202 . _:b665971218 . _:b665971219 . _:b665971216 . _:b665971217 . _:b665795203 . _:b665857055 . _:b665971222 . _:b665971223 . _:b665971220 . _:b665971221 . _:b665795200 . _:b665857585 . _:b665971226 . _:b665971227 . _:b665971224 . _:b665971225 . _:b665795201 . _:b665971230 . _:b665971231 . _:b665971228 . _:b665971229 . _:b665795206 . _:b665971202 . _:b665971203 . _:b665793456 . _:b665971200 . _:b665971201 . _:b665793836 . _:b665971314 . _:b665795207 . _:b665971206 . _:b665971207 . _:b665459577 . _:b665971204 . _:b665971205 . _:b665795204 . _:b665459582 . _:b665971210 . _:b665971211 . _:b665971208 . _:b665971209 . _:b665795205 . _:b665857027 . _:b665857029 . _:b665971214 . _:b665971215 . _:b665971212 . _:b665459580 . _:b665971213 . _:b665795210 . _:b665971250 . _:b665971251 . _:b665793460 . _:b665971248 . _:b665971249 . _:b665793840 . _:b665795211 . _:b665857031 . _:b665793449 . _:b665971254 . _:b665971255 . _:b665793854 . _:b665971252 . _:b665971253 . _:b665795208 . _:b665971258 . _:b665971259 . _:b665459580 . _:b665971256 . _:b665971257 . _:b665795209 . _:b665971262 . _:b665971263 . _:b665793852 . _:b665971260 . _:b665793846 . _:b665971261 . _:b665795214 . _:b665971234 . _:b665971235 . _:b665971232 . _:b665459577 . _:b665971233 . _:b665795215 . _:b665971238 . _:b665971239 . _:b665971236 . _:b665971237 . _:b665795212 . _:b665971242 . _:b665971243 . _:b665971240 . _:b665971241 . _:b665795213 . _:b665857035 . _:b665459575 . _:b665971246 . _:b665971247 . _:b665793847 . _:b665971244 . _:b665971245 . _:b665971321 . _:b665795218 . _:b665857038 . _:b665793447 . _:b665459570 . _:b665459573 . _:b665795219 . _:b665459573 . _:b665793849 . _:b665459570 . _:b665795216 . _:b665793442 . _:b668378674 . _:b665795217 . _:b665857033 . _:b665795222 . _:b665857036 . _:b665459568 . _:b665971394 . _:b665971395 . _:b668378672 . _:b665971392 . _:b665971393 . _:b665795223 . _:b665971398 . _:b665971399 . _:b668378673 . _:b665971396 . _:b665971397 . _:b665793848 . _:b665795220 . _:b665971402 . _:b665971403 . _:b665971400 . _:b665971401 . _:b665795221 . _:b665971406 . _:b665971404 . _:b665971405 . _:b665793850 . _:b665795226 . _:b665795227 . _:b665793853 . _:b665795224 . _:b665795225 . _:b665793855 . _:b665795230 . _:b665793448 . _:b665795231 . _:b665795228 . _:b665795229 . _:b665793851 . _:b665793453 . _:b665795234 . _:b675160427 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665971346 . _:b665971347 . _:b665971344 . _:b665971345 . _:b665795235 . _:b665971350 . _:b665971351 . _:b665971348 . _:b665971349 . _:b665971311 . _:b665795232 . _:b665971354 . _:b665971355 . _:b665971352 . _:b665971353 . _:b665795233 . _:b665971358 . _:b665971359 . _:b665971356 . _:b665793845 . _:b665793844 . _:b665971357 . _:b665176927 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665795238 . _:b665971330 . _:b665971331 . _:b665971328 . _:b665793841 . _:b665971329 . _:b665795239 . _:b665971334 . _:b665971335 . _:b665971332 . _:b665176321 . _:b665971333 . _:b665795236 . _:b665793842 . _:b665971338 . _:b665971339 . _:b665971336 . _:b665971337 . _:b665795237 . _:b665971342 . _:b665971343 . _:b665971340 . _:b665176336 . _:b665971341 . _:b665795242 . _:b665971378 . _:b665971379 . _:b665971376 . _:b665971377 . _:b665793837 . _:b665459026 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665795243 . _:b665971382 . _:b665971383 . _:b665971380 . _:b665971381 . _:b665795240 . _:b665793838 . _:b665971386 . _:b665971387 . _:b665971384 . _:b665971385 . _:b665793839 . _:b665795241 . _:b665971390 . _:b665971391 . _:b665971388 . _:b665971389 . _:b668716846 . _:b665795246 . _:b665971362 . _:b665971363 . _:b665971360 . _:b665971361 . _:b665459266 . _:b665795247 . _:b665971366 . _:b665971367 . _:b665793832 . _:b665857393 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665971364 . _:b665971365 . _:b665793834 . _:b665459267 . _:b665795244 . _:b665971370 . _:b665971371 . _:b665971368 . _:b665793835 . _:b665971369 . _:b665459264 . _:b665795245 . _:b665971374 . _:b665971375 . _:b665971372 . _:b665971373 . _:b665459265 . _:b665795250 . _:b665793831 . _:b665459270 . _:b665795251 . _:b668716823 . _:b665459271 . _:b668716820 . _:b665795248 . _:b665459268 . _:b668716822 . _:b665795249 . _:b668716825 . _:b665459269 . _:b665795254 . _:b665176342 . _:b668716619 _:b668716624 . _:b665459274 . _:b665795255 . _:b668716808 . _:b665459275 . _:b665795252 . _:b665459272 . _:b665795253 . _:b668716809 . _:b665459273 . _:b665795258 . _:b665793895 . _:b665459278 . _:b665795259 . _:b674016297 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b674348338 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665459279 . _:b665795256 . _:b665793893 . _:b668378720 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665459276 . _:b668716619 _:b668716620 . _:b665795257 . _:b674016767 . _:b668716824 . _:b665459277 . _:b665795262 . _:b668716850 . _:b665459155 . _:b665176333 . _:b665459282 . _:b665795263 . _:b665459283 . _:b665793890 . _:b665795260 . _:b668716612 _:b668716617 . _:b665793888 . _:b665459280 . _:b665795261 . _:b665793889 . _:b665459281 . _:b665793894 . _:b665795394 . _:b668716826 . _:b668716612 _:b668716613 . _:b668716739 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b668716827 . _:b668716841 . _:b665459286 . _:b665795395 . _:b665459287 . _:b665793896 . _:b665795392 . _:b665793900 . _:b665459284 . _:b665795393 . _:b665793901 . _:b665459285 . _:b665795398 . _:b665793899 . _:b668716842 . _:b663276312 . _:b665459290 . _:b665795399 . _:b665459291 . _:b665795396 . _:b665793897 . _:b665176938 . _:b665459288 . _:b665795397 . _:b668716843 . _:b665459289 . _:b668716844 . _:b665795402 . _:b668716845 . _:b665176869 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665459294 . _:b665795403 . _:b665793857 . _:b665459295 . _:b665795400 . _:b665459292 . _:b665795401 . _:b663276311 . _:b665459293 . _:b665795406 . _:b665459298 . _:b665795407 . _:b674016823 . _:b665793869 . _:b668716626 _:b668716631 . _:b668716626 _:b668716627 . _:b665459299 . _:b665795404 . _:b665793870 . _:b665459296 . _:b665793862 . _:b665795405 . _:b665459297 . _:b665795410 . _:b668379042 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665793917 . _:b665971100 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b662810304 . _:b665459302 . _:b665795411 . _:b662810311 . _:b665793916 . _:b662810307 . _:b665459303 . _:b665795408 . _:b665793919 . _:b665459300 . _:b665793859 . _:b665795409 . _:b665793918 . _:b662810309 . _:b665793858 . _:b665459301 . _:b668716681 . _:b665795414 . _:b665793856 . _:b665122333 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665793861 . _:b665459306 . _:b665795415 . _:b662810307 . _:b662810311 . _:b665793860 . _:b665459307 . _:b665795412 . _:b662810304 . _:b665459304 . _:b665795413 . _:b665459305 . _:b665795418 . _:b665793913 . _:b665793915 . _:b665459310 . _:b665793912 . _:b665795419 . _:b665459311 . _:b666093311 . _:b665795416 . _:b665459308 . _:b665795417 . _:b665793914 . _:b665176406 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665459309 . _:b665795422 . _:b665970735 . _:b665122041 . _:b665459314 . _:b665795423 . _:b665970734 . _:b665459315 . _:b665793863 . _:b665795420 . _:b665970733 . _:b665459312 . _:b665795421 . _:b665970732 . _:b665459313 . _:b665795426 . _:b665970731 . _:b665793904 . _:b665459318 . _:b665795427 . _:b665793864 . _:b665970730 . _:b668716605 _:b668716606 . _:b665793905 . _:b665793865 . _:b665459319 . _:b665795424 . _:b665793867 . _:b665970729 . _:b665793866 . _:b665459316 . _:b665793908 . _:b665795425 . _:b665970728 . _:b665459317 . _:b665795430 . _:b665970727 . _:b665793906 . _:b665459322 . _:b665795431 . _:b665970726 . _:b665459323 . _:b668716680 . _:b665793910 . _:b665795428 . _:b665793907 . _:b665970725 . _:b675160814 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665459320 . _:b665793868 . _:b665793909 . _:b665795429 . _:b665793871 . _:b665970724 . _:b668716605 _:b668716610 . _:b665857049 . _:b665459321 . _:b665793911 . _:b665795434 . _:b665970723 . _:b665857050 . _:b665459326 . _:b665795435 . _:b665970722 . _:b665793875 . _:b665857051 . _:b665459327 . _:b665793874 . _:b665795432 . _:b665970721 . _:b665857052 . _:b665857053 . _:b665793872 . _:b665459324 . _:b665795433 . _:b665793873 . _:b665970720 . _:b665857054 . _:b665459325 . _:b674016640 . _:b665795438 . _:b665793902 . _:b665970751 . _:b666092672 . _:b665793878 . _:b665459202 . _:b665795439 . _:b665793903 . _:b665970750 . _:b665793879 . _:b665793898 . _:b665459203 . _:b665795436 . _:b665857040 . _:b665970749 . _:b665459200 . _:b665795437 . _:b665793877 . _:b665857041 . _:b665970748 . _:b665459201 . _:b665793876 . _:b665795442 . _:b665793880 . _:b665857388 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665970747 . _:b665793886 . _:b665459206 . _:b665793887 . _:b665795443 . _:b665970746 . _:b665459207 . _:b665795440 . _:b665970745 . _:b665176463 . _:b665459204 . _:b665793884 . _:b665795441 . _:b665793891 . _:b665970744 . _:b665459205 . _:b665793885 . _:b665795446 . _:b665793892 . _:b665176376 . _:b665970743 . _:b666092935 . . _:b665459210 . _:b665795447 . _:b665970742 . _:b665793881 . _:b665793883 . _:b665459211 . _:b665795444 . _:b665176374 . _:b665970741 . _:b665793882 . _:b665459208 . _:b665795445 . _:b665176375 . _:b665970740 . _:b665459209 . _:b665795450 . _:b665176372 . _:b665970739 . _:b665459214 . _:b665795451 . _:b665176373 . _:b665970738 . _:b665176377 . _:b665176383 . _:b665459215 . _:b665795448 . _:b665970737 . _:b665176382 . _:b665459212 . _:b665795449 . _:b665176371 . _:b665970736 . _:b665459213 . _:b665795454 . _:b665970703 . _:b665176378 . _:b665459161 . _:b665459218 . _:b665795455 . _:b665970702 . _:b665459219 . _:b665795452 . _:b665970701 . _:b665176354 . _:b665459216 . _:b665795453 . _:b665970700 . _:b674348519 . _:b665459217 . _:b665795330 . _:b665970699 . _:b665795331 . _:b665970698 . _:b675160415 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665795355 "1"^^ . _:b665459223 . _:b665795328 . _:b665970697 . _:b665176352 . _:b665459220 . _:b665795329 . _:b665970696 . _:b665459221 . _:b665795334 . _:b665970695 . _:b665459226 . _:b665795335 . _:b665970694 . _:b665176355 . _:b665459227 . _:b665795332 . _:b665970693 . _:b665459224 . _:b674016870 . _:b665795333 . _:b665970933 . _:b665970692 . _:b665795357 "1"^^ . _:b665459225 . _:b665795338 . _:b665970691 . _:b665176366 . _:b665795356 "1"^^ . _:b665459230 . _:b665795339 . _:b665970690 . _:b665176464 . _:b665459231 . _:b665795336 . _:b674016666 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665970689 . _:b665857561 . _:b665459228 . _:b665795337 . _:b665970688 . _:b665459229 . _:b665795342 . _:b665970719 . _:b665176364 . _:b665176622 . _:b665459234 . _:b665795343 . _:b665970718 . _:b665176365 . _:b665459235 . _:b666093235 . _:b665795340 . _:b665122363 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665970717 . _:b665459232 . _:b665795341 . _:b665970716 . _:b665176619 . _:b665795349 "1"^^ . _:b665459233 . _:b665795346 . _:b665857073 . _:b665970715 . _:b665795348 "1"^^ . _:b665459238 . _:b665795347 . _:b665857072 . _:b665970714 . _:b665459239 . _:b665795344 . _:b665970713 . _:b665459236 . _:b665795345 . _:b665970712 . _:b665459237 . _:b663277836 . _:b665795350 . _:b665970711 . _:b665795336 "1"^^ . _:b665459242 . _:b665795351 . _:b665970710 . _:b665459243 . _:b665795348 . _:b665970709 . _:b665857284 . _:b665795342 "1"^^ . _:b665459240 . _:b665794062 . _:b665795349 . _:b665970708 . _:b665459241 . _:b665795354 . _:b665795358 . _:b665970707 . _:b665459246 . _:b665795355 . _:b665970706 . _:b665459247 . _:b665795352 . _:b665970705 . _:b665459244 . _:b665795353 . _:b665970704 . _:b665176351 . _:b665459245 . _:b665795358 . _:b665970799 . _:b665459250 . _:b663277829 . _:b665795359 . _:b665970798 . _:b665459251 . _:b668716951 . _:b665795356 . _:b666093081 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665459584 . _:b665459080 . _:b665970797 . _:b665459591 . _:b665459248 . _:b666092866 . _:b665795357 . _:b665970796 . _:b665459587 . _:b665459249 . _:b665795362 . _:b665970795 . _:b665459254 . _:b665795363 . _:b665459589 . _:b665970794 . _:b665459255 . _:b665795360 . _:b665121871 . _:b665970793 . _:b665459587 . _:b665459252 . _:b665795361 . _:b665970792 . _:b665459591 . _:b665459584 . _:b665459253 . _:b665795366 . _:b665970791 . _:b665459258 . _:b665795367 . _:b665970790 . _:b662809721 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665459259 . _:b665795364 . _:b665970789 . _:b665459256 . _:b665795365 . _:b665793732 . _:b665970788 . _:b665459257 . _:b665795370 . _:b662810286 . _:b665970787 . _:b665459262 . _:b665795371 . _:b665970786 . _:b665459263 . _:b665795368 . _:b665970785 . _:b665459260 . _:b665795369 . _:b665970784 . _:b665459261 . _:b665795374 . _:b665970815 . _:b665459394 . _:b665795375 . _:b665970814 . _:b665459395 . _:b665795372 . _:b665970813 . _:b666092947 . _:b662810286 . _:b665459392 . _:b665795373 . _:b665970812 . _:b665459393 . _:b665795378 . _:b665176870 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665970811 . _:b665176438 . _:b665459398 . _:b665795379 . _:b665970810 . _:b665459399 . _:b665795376 . _:b668716968 . _:b665177017 . _:b665970809 . _:b665459396 . _:b665795377 . _:b665970808 . _:b665176433 . _:b665459397 . _:b665795382 . _:b665970807 . _:b665459402 . _:b665795383 . _:b665970806 . _:b665176435 . _:b665459403 . _:b665795380 . _:b665970805 . _:b665176444 . _:b665856963 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665459400 . _:b665795381 . _:b665970804 . _:b662810297 . _:b665459401 . _:b665795386 . _:b665970803 . _:b665176446 . _:b662810302 . _:b665459406 . _:b665795387 . _:b665970802 . _:b668716966 . _:b665459407 . _:b665795384 . _:b662810300 . _:b665970801 . _:b665459404 . _:b665795385 . _:b665857565 . _:b665970800 . _:b665459405 . _:b668716962 . _:b665795390 . _:b665970767 . _:b662810300 . _:b665459410 . _:b665795391 . _:b665970766 . _:b665459411 . _:b665795388 . _:b665970765 . _:b665176420 . _:b665176418 . _:b665459408 . _:b665795389 . _:b662810297 . _:b665970764 . _:b674016814 . _:b668716965 . _:b665459409 . _:b665795522 . _:b665970763 . _:b665176422 . _:b665459414 . _:b668716964 . _:b665795523 . _:b665970762 . _:b668716967 . _:b662810295 . _:b665459415 . _:b665795520 . _:b665970761 . _:b668716577 . _:b662810290 . _:b665459412 . _:b665795521 . _:b662810293 . _:b665970760 . _:b662810293 . _:b665459413 . _:b665795526 . _:b662810290 . _:b665970759 . _:b668716970 . _:b665459418 . _:b665795527 . _:b665970758 . _:b665459419 . _:b665795524 . _:b665970757 . _:b665176426 . _:b662810288 . _:b665459416 . _:b665795525 . _:b668716971 . _:b665970756 . _:b665176429 . _:b665176427 . _:b665459417 . _:b668716972 . _:b665795530 . _:b665970755 . _:b668716973 . _:b665459422 . _:b665795531 . _:b665970754 . _:b665176431 . _:b665459423 . _:b665795528 . . _:b665970753 . _:b665176424 . _:b666093103 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665459420 . _:b665795529 . _:b665795772 . _:b665970752 . _:b665459421 . _:b665795534 . _:b665970783 . _:b665459426 . _:b665795535 . _:b665856966 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665970782 . _:b665459427 . _:b665795532 . _:b665970781 . _:b665459424 . _:b665795533 . _:b665970780 . _:b665459425 . _:b665795538 . _:b666092920 . _:b665970779 . _:b665459430 . _:b665795539 . _:b665970778 . _:b665176407 . _:b665459431 . _:b665795536 . _:b665970777 . _:b665459428 . _:b665795537 . _:b665970776 . _:b665459429 . _:b665795542 . _:b678849667 . _:b665970775 . "Jonathan Rees"@en . _:b665459434 . _:b665795543 . _:b665970774 . _:b665176403 . _:b665793587 . _:b665459435 . _:b665795540 . _:b665970773 . _:b668379056 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665459432 . _:b665795541 . _:b665970772 . _:b665176413 . _:b665459433 . _:b665795546 . _:b665793515 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665970771 . _:b662810066 . _:b665459438 . _:b665795547 . _:b665970770 . _:b665459439 . _:b665795544 . _:b662810064 . _:b665970769 . _:b665459436 . _:b665795545 . _:b662810065 . _:b665970768 . _:b665459437 . _:b665795550 . _:b665970863 . _:b665459442 . _:b665795551 . _:b665970862 . _:b665176411 . _:b665459443 . _:b665795548 . _:b665970861 . _:b665459440 . _:b665795549 . _:b665793804 . _:b665970860 . _:b665176389 . _:b665793608 . _:b665459441 . _:b665795554 . _:b665970859 . _:b665795840 . _:b665459446 . _:b665795555 . _:b665970858 . _:b665793672 . _:b665459447 . _:b665795552 . _:b665970857 . _:b665459444 . _:b665795553 . _:b665970856 . _:b665459445 . _:b665795558 . _:b665970855 . _:b665793613 . _:b665459450 . _:b665795559 . _:b665970854 . _:b665459451 . _:b665795556 . _:b665970853 . _:b665176381 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665176396 . _:b665459448 . _:b665795557 . _:b665970852 . _:b665459449 . _:b665795562 . _:b665970851 . _:b665459454 . _:b665795563 . _:b665970850 . _:b665459455 . _:b665795560 . _:b665970849 . _:b665459452 . _:b665795561 . _:b665970848 . _:b665793529 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665459453 . _:b665795566 . _:b665970879 . _:b665857370 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665459330 . _:b665795567 . _:b665970878 . _:b665459331 . _:b665795564 . _:b665970877 . _:b678850164 . _:b665459328 . _:b665795565 . _:b665970876 . _:b678850167 . _:b665459329 . _:b665795570 . _:b678849695 . _:b665970875 . _:b665459334 . _:b665795571 . _:b665970874 . _:b665459335 . _:b665795568 . _:b665970873 . _:b665459332 . _:b665795569 . _:b665970872 . _:b675160445 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665459333 . _:b665795574 . _:b665970871 . _:b665459338 . _:b665795575 . _:b665970870 . _:b665459339 . _:b665795572 . _:b665122162 . _:b665970869 . _:b665459336 . _:b665795573 . _:b665793812 . _:b665970868 . _:b665459337 . _:b665795578 . _:b665970867 . _:b665459342 . _:b665795579 . _:b665970866 . _:b663277775 . _:b665459343 . _:b665795576 . _:b665970865 . _:b663277773 . _:b665459340 . _:b665795577 . _:b665970864 . _:b663277762 . _:b665459341 . _:b663277761 . _:b665795582 . _:b663277776 . _:b665970831 . _:b665459346 . _:b668716659 . _:b665795583 . _:b665970830 . _:b665459347 . _:b668379100 . _:b665795580 . _:b663277778 . _:b665970829 . _:b665857024 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b674348660 . _:b665459344 . _:b665795581 . _:b665970828 . _:b674348659 . _:b665459345 . _:b665795458 . _:b665970827 . _:b674348658 . _:b665459350 . _:b665795459 . _:b665970826 . _:b674348657 . _:b665459351 . _:b665795456 . _:b665970825 . _:b665459348 . _:b665795457 . _:b665970824 . _:b665459349 . _:b665795462 . _:b665970823 . _:b663277799 . _:b665459354 . _:b665795463 . _:b665970822 . _:b665459355 . _:b665795460 . _:b665970821 . _:b674348668 . _:b665459352 . _:b665795461 . _:b665970820 . _:b674348667 . _:b665459353 . _:b665795466 . _:b665970819 . _:b665459358 . _:b665795467 . _:b665793830 . _:b665970818 . _:b665459359 . _:b665795464 . _:b665970817 . _:b665459356 . _:b665795465 . _:b663277795 . _:b665970816 . _:b665459357 . _:b665795470 . _:b665970847 . _:b674348715 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665459362 . _:b665795471 . _:b665970846 . _:b665459363 . _:b665795468 . _:b665970845 . _:b665176468 . _:b665459360 . _:b665795469 . _:b665970844 . _:b663277796 . _:b665459361 . _:b665795474 . _:b665970843 . _:b665176470 . _:b663277797 . _:b665459366 . _:b665795475 . _:b663277798 . _:b665970842 . _:b665176465 . _:b665459367 . _:b665176860 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665795472 . _:b665970841 . _:b666093173 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665459364 . _:b665795473 . _:b665970840 . _:b665459365 . _:b665795478 . _:b663277777 . _:b665970839 . _:b665176466 . _:b663276276 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665459370 . _:b665795479 . _:b663277780 . _:b665970838 . _:b665459371 . _:b665795476 . _:b665970837 . _:b665459368 . _:b665795477 . _:b665176314 _:b665176313 . _:b665970836 . _:b665459369 . _:b666092721 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665795482 . _:b665970835 . _:b662810090 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665176308 _:b665176311 . _:b663277779 . _:b665459374 . _:b665176315 _:b665176314 . _:b665795483 . _:b663277794 . _:b665970834 . _:b665176311 _:b665176310 . _:b665459375 . _:b665795480 . _:b665970833 . _:b665459372 . _:b665795481 . _:b665176304 _:b665176303 . _:b665970832 . _:b665176312 _:b665176315 . _:b665459373 . _:b665795486 . _:b665176310 _:b665176309 . _:b665970927 . _:b665459378 . _:b665795487 . _:b665970926 . _:b665459379 . _:b665857504 . _:b665795484 . _:b665970925 . _:b665459376 . _:b665795485 . _:b665970924 . _:b665176598 . _:b665459377 . _:b665857506 . _:b665795490 . _:b665970923 . _:b665459382 . _:b665795491 . _:b665970922 . _:b665176455 . _:b665459383 . _:b668379121 . _:b665795488 . _:b665970921 . _:b665459380 . _:b668379126 . _:b665795489 . _:b665970920 . _:b665459381 . _:b665795494 . _:b665970919 . _:b665176298 _:b665176297 . _:b663277803 . _:b665459386 . _:b665795495 . _:b665122354 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665970918 . _:b665176453 . _:b665459387 . _:b665857512 . _:b665176300 _:b665176299 . _:b665795492 . _:b665970917 . _:b665459384 . _:b665795493 . _:b665176303 _:b665176302 . _:b665970916 . _:b665459385 . _:b665795498 . _:b665970915 . _:b665459390 . _:b665176785 . _:b665795499 . _:b665970914 . _:b665176463 . _:b665176784 . _:b678849625 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665459391 . _:b665793866 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665795496 . _:b674016398 . _:b662809696 . _:b665970913 . _:b665459388 . _:b665857519 . _:b665795497 . _:b662809697 . _:b665970912 . _:b665459389 . _:b665795502 . . _:b665970943 . _:b665176458 . _:b665459522 . _:b665795503 . _:b665970942 . _:b668379018 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665459523 . _:b665176393 . _:b668379019 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665795500 . _:b665122234 . _:b665970941 . _:b665459520 . _:b665176392 . _:b665795501 . _:b665970940 . _:b665176301 _:b665176304 . _:b665459521 . _:b665176395 . _:b665795506 . _:b665970939 . _:b665459526 . _:b665176394 . _:b665795507 . _:b665970938 . _:b665459527 . _:b665176397 . _:b665795504 . _:b665970937 . _:b665459524 . _:b665176396 . _:b665795505 . _:b665970936 . _:b665459525 . _:b674016448 . _:b665176399 . _:b665795510 . _:b665970935 . _:b665459530 . _:b665176398 . _:b665795511 . _:b665970934 . _:b665459531 . _:b665795508 . _:b665970933 . _:b665459528 . _:b665795509 . _:b665970932 . _:b665459529 . _:b665795514 . _:b665970931 . _:b665459534 . _:b665795515 . _:b665970930 . _:b665459535 . _:b665795512 . _:b665970929 . _:b665459532 . _:b665795513 . _:b665970928 . _:b665459533 . _:b665176391 . _:b665795518 . _:b665970895 . _:b665459538 . _:b665795519 . _:b665970894 . _:b665459539 . _:b665795516 . _:b665459328 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665970893 . _:b665176403 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665176319 _:b665176320 . _:b665459536 . _:b665795517 . _:b665970892 . _:b665459537 . _:b665176411 . _:b665970891 . _:b665459542 . _:b665795487 . _:b665970890 . _:b665176318 _:b665176324 . _:b665459543 . _:b665970889 . _:b665459540 . _:b678849697 . _:b665176412 . _:b665970888 . _:b665459541 . _:b665970887 . _:b665459546 . _:b665970886 . _:b665459547 . _:b665122242 . _:b665970885 . _:b665459544 . _:b665176400 . _:b665970884 . _:b665459545 . _:b665970883 . _:b663276318 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665459550 . _:b678850151 . _:b665970882 . _:b665459551 . _:b675160838 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665970881 . _:b665459548 . _:b665970880 . _:b665459549 . _:b665970911 . _:b665459554 . _:b665970910 . _:b665459555 . _:b665970909 . _:b665459552 . _:b665970908 . _:b665459553 . _:b665970907 . _:b665459558 . _:b666093032 . _:b665970906 . _:b665459559 . _:b665970905 . _:b665459556 . _:b662809867 . _:b665121932 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665970904 . _:b665459557 . _:b665793549 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665970903 . _:b665459562 . _:b665970902 . _:b665176431 . . _:b665459563 . _:b665970901 . _:b665459560 . _:b665970900 . _:b665459561 . _:b665122260 . _:b665970899 . _:b665857389 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665459566 . _:b665970898 . _:b666093031 . _:b665459567 . _:b665970897 . _:b665459564 . _:b665970896 . _:b665459565 . _:b674348357 . _:b665970991 . _:b674348758 . _:b665459570 . _:b665795491 . _:b662809695 . _:b665970990 . _:b674348757 . _:b665459571 . _:b665970989 . _:b665176440 . _:b665459568 . _:b665795408 . _:b665970988 . _:b674016582 . _:b665176441 . _:b665459569 . _:b665970987 . _:b674348754 . _:b665176442 . _:b665459574 . _:b666093289 . _:b668378687 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665970986 . _:b665795565 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665176443 . _:b665459575 . _:b665176444 . _:b674016580 . _:b665970985 . _:b674016578 . _:b674348752 . _:b665459572 . _:b665176445 . _:b665970984 . _:b674016578 . _:b674348767 . _:b665459573 . _:b674348391 . _:b674348390 . _:b665970983 . _:b665459578 . _:b674348390 . _:b665970982 . _:b674348765 . _:b665459579 . _:b665970981 . _:b674016582 . _:b665176432 . _:b665459576 . _:b665970980 . _:b674348337 . _:b665459577 . _:b665793511 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b674348386 . _:b665970979 . _:b674348336 . _:b674348762 . _:b665459582 . _:b665970978 . _:b674348339 . _:b665459583 . _:b665458956 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b674348352 . _:b665970977 . _:b674348338 . _:b674348760 . _:b666092942 . _:b665459580 . _:b665970976 . _:b662809732 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674348743 . _:b665459581 . _:b665971007 . _:b665459458 . _:b665459532 . _:b665971006 . _:b674348741 . _:b665459459 . _:b663276281 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665971005 . _:b674348740 . _:b665459456 . _:b665971004 . _:b668716946 . _:b666092949 . _:b665459457 . _:b665971003 . _:b663277904 . _:b665459462 . _:b665971002 . _:b674348737 . _:b665459463 . _:b665971001 . _:b665459460 . _:b665971000 . _:b665459461 . _:b665793899 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665970999 . _:b665459466 . _:b665970998 . _:b674348749 . _:b665459467 . _:b665970997 . _:b674348748 . _:b665970985 . _:b665459464 . _:b665970996 . _:b674348366 . _:b674348747 . _:b665459465 . _:b665970995 . _:b665459470 . _:b665970994 . _:b665176393 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665459471 . _:b674348384 . _:b665970993 . _:b674348365 . _:b665459468 . _:b674348385 . _:b665970992 . _:b665459469 . _:b674348356 . _:b665970959 . _:b665459474 . _:b674348357 . _:b665970958 . _:b665459475 . _:b674348358 . _:b668378656 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665970957 . _:b665459472 . _:b674348359 . _:b674348365 . _:b665970956 . _:b665459473 . _:b665970955 . _:b665459478 . _:b665970954 . _:b665122265 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665459479 . _:b665970953 . _:b665459476 . _:b665176523 . _:b674348355 . _:b665970952 . _:b665459477 . _:b665970951 . _:b663277915 . _:b665459482 . _:b665970950 . _:b665459483 . _:b665970949 . _:b665459480 . _:b665970948 . _:b663277917 . _:b665459481 . _:b668378766 . _:b665970947 . _:b665459486 . _:b665970946 . _:b665459487 . _:b663277918 . _:b665970945 . _:b668716899 . _:b663277921 . _:b665459484 . _:b663277923 . _:b665970944 . _:b674348767 . _:b665459485 . _:b665176458 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b663277920 . _:b665970975 . _:b674348766 . _:b665459490 . _:b665970974 . _:b665459282 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665459491 . _:b665970973 . _:b665459488 . _:b674348381 . _:b665970972 . _:b663277924 . _:b665459489 . _:b665970971 . _:b663277925 . _:b665459494 . _:b663277926 . _:b665970970 . _:b665459495 . _:b663277919 . _:b665970969 . _:b665176322 _:b665176321 . _:b665970949 . _:b665459492 . _:b665970968 . _:b665793467 . _:b665459493 . _:b665970967 . _:b665176320 _:b665176322 . _:b665459498 . _:b665176340 _:b665176341 . _:b665970966 . _:b665459499 . _:b665176335 _:b665176338 . _:b665970965 . _:b665176329 _:b665176332 . _:b665459496 . _:b665970964 . _:b666093304 . _:b665793471 . _:b665459497 . _:b665176324 _:b665176323 . _:b665970963 . _:b662809848 . _:b665459502 . _:b665793469 . _:b665176327 _:b665176326 . _:b665970962 . _:b665793468 . _:b665459503 . _:b665176325 _:b665176328 . _:b665176331 _:b665176330 . _:b665970961 . _:b665459500 . _:b674348369 . _:b665970960 . _:b665793470 . _:b665459501 . _:b662809851 . _:b665971055 . _:b663277826 . _:b665459506 . _:b665176328 _:b665176327 . _:b662809879 . _:b665971054 . _:b674348693 . _:b665459507 . _:b668378852 . _:b665459504 . _:b678849854 . _:b665176332 _:b665176331 . _:b665971053 . _:b674348692 . _:b665793465 . _:b665459504 . _:b665971052 . _:b665793466 . _:b674348691 . _:b665176819 . _:b665459505 . _:b662809855 . _:b674348330 . _:b665971051 . _:b674348690 . _:b665459510 . _:b665793462 . _:b665971129 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b668716415 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665971050 . _:b674348689 . _:b665176343 _:b665176342 . _:b665459511 . _:b665793464 . _:b665793463 . _:b665971049 . _:b674348688 . _:b665459508 . _:b665971048 . _:b674348353 . _:b674348703 . _:b665459509 . _:b665793458 . _:b665971047 . _:b665176820 . _:b665459514 . _:b665176341 _:b665176343 . _:b665176347 _:b665176350 . _:b665971046 . _:b665176337 _:b665176336 . _:b665459515 . _:b665971045 . _:b674348354 . _:b665176338 _:b665176337 . _:b674348700 . _:b665459512 . _:b665971044 . _:b665459513 . _:b665971043 . _:b663277672 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665459518 . _:b665971042 . _:b665459519 . _:b665971041 . _:b665459516 . _:b665971040 . _:b674348679 . _:b665459517 . _:b665176339 _:b665176346 . _:b665971071 . _:b674348678 . _:b665176349 _:b665176348 . _:b665793459 . _:b665971070 . _:b665176350 _:b665176349 . _:b665971069 . _:b665971068 . _:b665176345 _:b665176344 . _:b665176346 _:b665176340 . _:b674348346 . _:b665971067 . _:b665176346 _:b665176345 . _:b674348674 . _:b668378752 . _:b665971066 . _:b665176334 _:b665176335 . _:b674348673 . _:b665795826 . _:b665793440 . _:b665971065 . _:b665970760 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b674348672 . _:b665971064 . _:b665971063 . _:b674348686 . _:b665793855 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665793451 . _:b665971062 . _:b674348685 . _:b668378757 . _:b665971061 . _:b674348684 . _:b678849994 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665971060 . _:b665459143 . _:b665793506 . _:b678849478 . _:b665795833 . _:b665971059 . _:b665793446 . _:b665793488 . _:b665793507 . _:b665793455 . _:b674016559 . _:b665971058 . _:b665793504 . _:b678849858 . _:b665971057 . _:b674016557 . _:b665793505 . _:b665793441 . _:b663277842 . _:b674016557 . _:b665971056 . _:b663277843 . _:b665793510 . _:b665971023 . _:b665793450 . _:b665793500 . _:b665971022 . _:b665793501 . _:b665793493 . _:b665793508 . _:b674348300 . _:b665793444 . _:b665793452 . _:b665971021 . _:b665793511 . _:b665793445 . _:b665971020 . _:b665793509 . _:b674348723 . _:b665971019 . _:b665793489 . _:b665793519 . _:b665793447 . _:b665971018 . _:b674348721 . _:b665793518 . _:b665793424 . _:b665971017 . _:b665793491 . _:b663277844 . _:b665793516 . _:b665971016 . _:b665793517 . _:b674348735 . _:b665793490 . _:b665971015 . _:b665793512 . _:b665793514 . _:b665971014 . _:b665793492 . _:b665793513 . _:b665793515 . _:b665971013 . _:b674348656 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b674348732 . _:b665793437 . _:b665793429 . _:b665971012 . _:b665971011 . _:b674016568 . _:b665793484 . _:b674348730 . _:b674016575 . _:b665793526 . _:b674016571 . _:b665971010 . _:b665793570 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665793431 . _:b665971009 . _:b665793486 . _:b674348728 . _:b665459525 . _:b674348687 . _:b674016573 . _:b665793524 . _:b665971008 . _:b665793487 . _:b674348386 . _:b674348688 . _:b665971039 . _:b674016571 . _:b674348710 . _:b674348387 . _:b665793525 . _:b674348351 . _:b665971038 . _:b674016575 . _:b674016568 . _:b665793520 . _:b665793482 . _:b665971037 . _:b665793436 . _:b674348708 . _:b665793527 . _:b665793521 . _:b665971036 . _:b674348293 . _:b674016561 . _:b665176323 _:b665176319 . _:b674348707 . _:b665793430 . _:b674016566 . _:b665971035 . _:b665459461 . _:b665971034 . _:b674348295 . _:b668716370 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b674016564 . _:b674348388 . _:b665793532 . _:b674348294 . _:b665971033 . _:b665793476 . _:b674348704 . _:b674348389 . _:b665121896 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665795770 . _:b674348297 . _:b665971032 . _:b674348719 . _:b665971031 . _:b674348296 . _:b674016564 . _:b665793475 . _:b665793473 . _:b665793530 . _:b665793531 . _:b674348299 . _:b665971030 . _:b665793472 . _:b674348717 . _:b665793412 . _:b674348298 . _:b665971029 . _:b674016561 . _:b665793528 . _:b665793413 . _:b665971028 . _:b665971027 . _:b665793477 . _:b674348714 . _:b665971026 . _:b674348713 . _:b665459468 . _:b665793485 . _:b665971025 . _:b665793479 . _:b665971024 . _:b665793534 . _:b665793483 . _:b665971119 . _:b665793419 . _:b665971118 . _:b665793529 . _:b665971117 . _:b665793420 . _:b665793478 . _:b665793533 . _:b665793535 . _:b665971116 . _:b665795279 . _:b665857186 . _:b665793480 . _:b675160539 . _:b665971115 . _:b665793423 . _:b665971114 . _:b665793522 . _:b665971200 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665971113 . _:b665793523 . _:b665971112 . _:b666092725 . _:b665971111 . _:b665793481 . _:b665971110 . . _:b665971109 . _:b674016271 . _:b665971108 . _:b665971107 . _:b666092730 . _:b665971106 . _:b665122410 . _:b666092731 . _:b666092663 . _:b665971105 . _:b666092662 . _:b665971104 . _:b665971135 . _:b665459586 . _:b665795400 . _:b665793494 . _:b665971134 . _:b665459587 . _:b665793495 . _:b665971133 . _:b675160534 . _:b665459584 . _:b666092704 . _:b666092712 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665971132 . _:b665459585 . _:b665176459 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665971131 . _:b665793496 . _:b665459590 . _:b665971130 . _:b665793497 . _:b665459591 . _:b665793499 . _:b665971129 . _:b665459588 . _:b665793498 . _:b665971128 . _:b675160541 . _:b665459589 . _:b665971127 . _:b665971126 . _:b665793503 . _:b665793502 . _:b665857446 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665971125 . _:b675160542 . _:b665459592 . _:b666092703 . _:b665793603 . _:b665971124 . _:b665459106 . _:b666092713 . _:b666092702 . _:b665971123 . _:b666092714 . _:b666092701 . _:b665971122 . _:b666092700 . _:b665971121 . _:b665971120 . _:b665971087 . _:b665176401 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b666092718 . _:b665971086 . _:b666092719 . _:b665971085 . _:b665971084 . _:b665459520 . _:b665971083 . _:b665971082 . _:b666092708 . _:b665459540 . _:b665971081 . _:b665176473 _:b665176476 . _:b666092707 . _:b665971080 . _:b666092706 . _:b665971079 . _:b666092705 . _:b665971078 . _:b666092704 . _:b665971077 . _:b674016281 . _:b665971076 . _:b665971075 . _:b665971074 . _:b665793693 . _:b665176476 _:b665176475 . _:b665971073 . _:b665971072 . _:b665971103 . _:b666092702 . _:b665121843 . _:b665971102 . _:b666092703 . _:b674016883 . _:b665176475 _:b665176474 . _:b665971101 . _:b665971100 . _:b665971099 . _:b665971098 . _:b665971097 . _:b665122240 . _:b665971096 . _:b665176489 _:b665176488 . _:b665971095 . _:b665176490 _:b665176489 . _:b665176488 _:b665176487 . _:b665971094 . _:b665176481 _:b665176490 . _:b665794101 . _:b665856968 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665971093 . _:b674016890 . _:b665971092 . _:b665971091 . _:b665971090 . _:b665971089 . _:b665176483 _:b665176482 . _:b665971088 . _:b665793474 . _:b665971183 . _:b662810101 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665971182 . _:b665176363 . _:b665176499 _:b665176500 . _:b665176487 _:b665176486 . _:b665971181 . _:b665971180 . _:b665176486 _:b665176485 . _:b665176493 _:b665176497 . _:b665176484 _:b665176483 . _:b665176485 _:b665176484 . _:b665971179 . _:b665971178 . _:b666092787 . _:b665176508 _:b665176507 . _:b665176509 _:b665176508 . _:b665971177 . _:b665176498 _:b665176502 . _:b665971176 . _:b662810248 . _:b665971175 . _:b665971174 . _:b665971173 . _:b674348499 . _:b665176505 _:b665176504 . _:b665971172 . _:b666092793 . _:b665971171 . _:b665176506 _:b665176505 . _:b665176507 _:b665176506 . _:b666092794 . _:b665971170 . _:b665856915 . _:b665176494 _:b665176495 . _:b665176503 _:b665176509 . _:b665122033 . _:b674348502 . _:b674016952 . _:b665971169 . _:b665176501 _:b665176499 . _:b665971168 . _:b665176502 _:b665176501 . _:b666093174 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665176496 _:b665176494 . _:b665971199 . _:b665971198 . _:b674348506 . _:b665971197 . _:b665176317 . _:b665970913 . _:b665793782 . _:b665971196 . _:b665176316 . _:b665971195 . _:b674348509 . _:b665176497 _:b665176496 . _:b665971194 . _:b665971193 . _:b668716761 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665971192 . _:b663276353 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665176532 _:b665176531 . _:b665971191 . _:b665971190 . _:b665176439 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665971189 . _:b665971188 . _:b663277636 _:b663277630 . _:b665176531 _:b665176530 . _:b665971187 . _:b665971186 . _:b665971185 . _:b665176542 _:b665176545 . _:b665971184 . _:b665971151 . _:b666092798 . _:b665176529 _:b665176532 . _:b674016323 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665971150 . _:b666092799 . _:b665971149 . . _:b665971148 . _:b663277635 _:b663277634 . _:b665176537 _:b665176536 . _:b665794145 . _:b678849798 . _:b665971147 . _:b665176535 _:b665176538 . _:b663277633 _:b663277632 . _:b665176538 _:b665176537 . _:b666092754 . _:b665971146 . _:b665970898 . _:b674016807 . _:b665971145 . _:b665176515 _:b665176514 . _:b663277636 _:b663277635 . _:b678849795 . _:b665971144 . _:b665176534 _:b665176535 . _:b665970900 . _:b665857222 . _:b665971143 . _:b663277639 _:b663277638 . _:b665176317 . _:b663277637 _:b663277640 . _:b665176514 _:b665176513 . _:b665971142 . _:b665176316 . _:b665971141 . _:b666092760 . _:b665971140 . _:b665176528 _:b665176529 . _:b678850133 . _:b663277640 _:b663277639 . _:b665971139 . _:b665971138 . _:b665970906 . _:b665176541 _:b665176542 . _:b665971137 . _:b678850036 . _:b665971136 . _:b665971167 . _:b675160807 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665971166 . _:b665971165 . _:b665971164 . _:b663277610 _:b663277612 . _:b662810221 . _:b663277629 _:b663277636 . _:b665971163 . _:b663277630 _:b663277631 . _:b663277602 _:b663277605 . _:b665971162 . _:b663277624 _:b663277625 . _:b663277612 _:b663277611 . _:b665176512 _:b665176515 . _:b665971161 . _:b663277613 _:b663277609 . _:b665971160 . _:b663277600 _:b663277599 . _:b665176560 _:b665176564 . _:b665971159 . _:b663277614 _:b663277613 . _:b665971158 . _:b666092743 . _:b665971157 . _:b666092732 . _:b666092744 . _:b665971156 . _:b666092733 . _:b666092745 . _:b665793939 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665971155 . _:b663277601 _:b663277600 . _:b666092734 . _:b666092746 . _:b665971154 . _:b663277615 _:b663277618 . _:b663277608 _:b663277614 . _:b663277631 _:b663277633 . _:b665971153 . _:b665970842 . _:b666092728 . _:b663277604 _:b663277603 . _:b665176564 _:b665176561 . _:b665176849 . _:b665971152 . _:b663277605 _:b663277604 . _:b666092729 . _:b665176564 _:b665176563 . _:b665176848 . _:b665971247 . _:b666092730 . _:b666092750 . _:b663277628 _:b663277627 . _:b665971246 . _:b666092731 . _:b665971245 . _:b663277609 _:b663277610 . _:b663277619 _:b663277622 . _:b665971244 . _:b665176563 _:b665176562 . _:b665971243 . _:b665971242 . _:b663277627 _:b663277626 . _:b665971241 . _:b665857077 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665176553 _:b665176552 . _:b665971240 . _:b665176551 _:b665176554 . _:b665971239 . _:b665176554 _:b665176553 . _:b665122531 . _:b665971238 . _:b663277621 _:b663277620 . _:b665176558 _:b665176557 . _:b663277625 _:b663277628 . _:b665971237 . _:b663277622 _:b663277621 . _:b665176559 _:b665176556 . _:b678850064 . _:b665971236 . _:b665176559 _:b665176558 . _:b665971235 . _:b665176544 _:b665176543 . _:b675160341 . _:b663277617 _:b663277616 . _:b665459453 . _:b665971234 . _:b675160340 . _:b663277618 _:b663277617 . _:b665971233 . _:b665459455 . _:b665971232 . _:b665971263 . _:b665176847 . _:b665176545 _:b665176544 . _:b665971262 . _:b674348530 . _:b665176846 . _:b665971261 . _:b665176845 . _:b668716481 . _:b665971260 . _:b674016692 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665971259 . _:b665971258 . _:b665176555 _:b665176559 . _:b665971257 . _:b665176886 . _:b665176793 _:b665176796 . _:b665971256 . _:b665176881 . _:b665176790 _:b665176789 . _:b665176788 _:b665176790 . _:b665971255 . _:b665176791 _:b665176787 . _:b665971254 . _:b665971253 . _:b665176892 . _:b666092811 . _:b665971252 . _:b665971251 . _:b665971250 . _:b665176796 _:b665176795 . _:b665971249 . _:b665176888 . _:b665459385 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665176894 . _:b665176799 _:b665176798 . _:b665971248 . _:b665176895 . _:b665176797 _:b665176800 . _:b665971215 . _:b665176890 . _:b665176786 _:b665176792 . _:b666092813 . _:b665971214 . _:b666092812 . _:b665176795 _:b665176794 . _:b665971213 . _:b666092800 . _:b663277590 _:b663277589 . _:b665176768 _:b665176767 . _:b665121994 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b663277588 _:b663277587 . _:b665971212 . _:b665459573 . _:b665971211 . _:b665176792 _:b665176791 . _:b665971210 . _:b665176871 . _:b665122212 . _:b665971209 . _:b665176864 . _:b665176780 _:b665176783 . _:b665971208 . _:b665176771 _:b665176770 . _:b665971207 . _:b668716522 . _:b665971206 . _:b668716520 . _:b665176787 _:b665176788 . _:b665459198 . _:b663277598 _:b663277601 . _:b668716521 . _:b665971205 . _:b662810236 . _:b668378731 . _:b665971204 . _:b665176776 _:b665176779 . _:b665459196 . _:b665176772 _:b665176771 . _:b665971203 . _:b665459580 . _:b674348503 . _:b665971202 . _:b665176879 . _:b665971201 . _:b665459196 . _:b665793552 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b663277593 _:b663277592 . _:b665176778 _:b665176777 . _:b665971200 . _:b663277591 _:b663277594 . _:b663277594 _:b663277593 . _:b665971231 . _:b665176779 _:b665176778 . _:b665857137 . _:b665971230 . _:b665176875 . _:b665176782 _:b665176781 . _:b663277776 _:b663277775 . _:b665971229 . _:b665176850 . _:b663277780 _:b663277779 . _:b665971228 . _:b665176783 _:b665176782 . _:b665971227 . _:b665176769 _:b665176772 . _:b665971226 . _:b663277778 _:b663277777 . _:b663277779 _:b663277778 . _:b665176808 _:b665176809 . _:b665971225 . _:b665857143 . _:b665971224 . _:b665971223 . _:b663277777 _:b663277776 . _:b665971222 . _:b665176851 . _:b663277791 _:b663277789 . _:b665971221 . _:b665971220 . _:b663277788 _:b663277792 . _:b665971219 . _:b668379135 . _:b665971218 . _:b663277786 _:b663277784 . _:b665793840 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665971217 . _:b665176802 _:b665176803 . _:b665459566 . _:b665971216 . _:b665176857 . _:b663277783 _:b663277787 . _:b663277787 _:b663277786 . _:b665857150 . _:b665971311 . _:b668378650 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665971310 . _:b665176817 _:b665176816 . _:b665971309 . _:b663277771 _:b663277780 . _:b665176818 _:b665176817 . _:b668716477 . _:b665793789 . _:b665971308 . _:b665176844 . _:b665971307 . _:b665176832 . _:b665971306 . _:b665176833 . _:b663277765 _:b663277764 . _:b668716439 . _:b665176809 _:b665176811 . _:b665176842 . _:b665971305 . _:b663277766 _:b663277765 . _:b665176843 . _:b665971304 . _:b665176840 . _:b665971303 . _:b665176834 . _:b665176811 _:b665176810 . _:b665176841 . _:b665971302 . _:b665176807 _:b665176814 . _:b663277789 _:b663277790 . _:b668716440 . _:b665971301 . _:b665176814 _:b665176808 . _:b665176800 _:b665176799 . _:b665176839 . _:b665971300 . _:b665176803 _:b665176806 . _:b665971299 . _:b665176846 . _:b665176813 _:b665176812 . _:b663277784 _:b663277785 . _:b665971298 . _:b663277773 _:b663277772 . _:b665176814 _:b665176813 . _:b665971297 . _:b663277763 _:b663277766 . _:b663277775 _:b663277774 . _:b675160796 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665857135 . _:b665971296 . _:b665793560 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665176447 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665971327 . _:b665458882 . _:b663277774 _:b663277773 . _:b665795407 . _:b665971326 . _:b665176845 . _:b665458883 . _:b665176815 _:b665176818 . _:b665971325 . _:b665458880 . _:b665176805 _:b665176804 . _:b665971324 . _:b665176806 _:b665176805 . _:b668716458 . _:b665458881 . _:b678850066 . _:b663277821 _:b663277820 . _:b665971323 . _:b665458886 . _:b663277822 _:b663277821 . _:b665971322 . _:b665458887 . _:b665971321 . _:b665458884 . _:b668716457 . _:b665971320 . _:b674348518 . _:b665458885 . _:b665971319 . _:b665458890 . _:b665971318 . _:b665458891 . _:b665971317 . _:b665458888 . _:b665971316 . _:b665458889 . _:b665176926 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b678849782 . _:b665971315 . _:b663277819 _:b663277822 . _:b665458894 . _:b665971314 . _:b665458895 . _:b665971313 . _:b668716455 . _:b665458892 . _:b665793793 . _:b665971312 . _:b665458893 . _:b665971279 . _:b665458898 . _:b668716451 . _:b665971278 . _:b665458899 . _:b675160438 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665971277 . _:b668378649 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665458896 . _:b665971276 . _:b665458897 . _:b668716453 . _:b665971275 . _:b665176934 . _:b665458902 . _:b665971274 . _:b663277805 _:b663277804 . _:b665458903 . _:b663277792 _:b663277791 . _:b665971273 . _:b668716454 . _:b665458900 . _:b665971272 . _:b665458901 . _:b663277818 _:b663277819 . _:b663277793 _:b663277799 . _:b668716456 . _:b665122301 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665971271 . _:b665458906 . _:b663277804 _:b663277803 . _:b665793918 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665971270 . _:b665176931 . _:b665176933 . _:b665458907 . _:b663277795 _:b663277794 . _:b665971269 . _:b665458904 . . _:b665971268 . _:b665458905 . _:b665971267 . _:b665458910 . _:b662809928 . _:b663277799 _:b663277798 . _:b662809935 . _:b665971266 . _:b665458911 . _:b662809931 . _:b665971265 . _:b665176936 . _:b665458908 . _:b663277798 _:b663277797 . _:b663277796 _:b663277795 . _:b665971264 . _:b663277802 _:b663277805 . _:b663277797 _:b663277796 . _:b662809933 . _:b665458909 . _:b665971295 . _:b665176938 . _:b665458914 . _:b662809931 . _:b665971294 . _:b665458915 . _:b662809935 . _:b662809928 . _:b665971293 . _:b665458912 . _:b665971292 . _:b668716472 . _:b665458913 . _:b662809921 . _:b665971291 . _:b662809926 . _:b665458918 . _:b665971290 . _:b665458919 . _:b662809924 . _:b665971289 . _:b665176912 . _:b665458916 . _:b665971288 . _:b665458917 . _:b662810034 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665971287 . _:b665176914 . _:b665458922 . _:b662809924 . _:b665971286 . _:b668716473 . _:b665458923 . _:b665176549 . _:b668716474 . _:b665971285 . _:b665458920 . _:b668716475 . _:b662809921 . _:b665971284 . _:b668716476 . _:b665458921 . _:b665971283 . _:b665176926 . _:b665458926 . _:b665971282 . _:b665176921 . _:b665458927 . _:b665971281 . _:b665458924 . _:b665458958 . _:b665971280 . _:b665795409 . _:b665458925 . _:b665458959 . _:b665176402 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665971375 . _:b665458930 . _:b665971374 . _:b665176923 . _:b665458931 . _:b665971373 . _:b665458928 . _:b665971372 . _:b665176901 . _:b665458929 . _:b665857600 . _:b662809942 . _:b665971371 . _:b665458934 . _:b665971370 . _:b665176903 . _:b665458935 . _:b665971369 . _:b662809940 . _:b665458932 . _:b662809938 . _:b665971368 . _:b665176897 . _:b665458933 . _:b662809938 . _:b665971367 . _:b665458938 . _:b665971366 . _:b665176899 . _:b665176766 _:b665176765 . _:b665458939 . _:b665971365 . _:b665458936 . _:b662809942 . _:b665971364 . _:b665458937 . _:b665971363 . _:b665458942 . _:b665971362 . _:b665458943 . _:b665176871 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665971361 . _:b665458940 . _:b665459531 . _:b665971360 . _:b665458941 . _:b665121923 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665971391 . _:b665176906 . _:b665971390 . _:b665459587 . _:b665971389 . _:b665971388 . _:b668379025 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665971387 . _:b665795196 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665971386 . _:b665856913 . _:b665971385 . _:b665971384 . _:b665971383 . _:b665971382 . _:b665971381 . _:b663276357 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665971380 . _:b665971379 . _:b665971378 . _:b665971377 . _:b665971376 . _:b665971343 . _:b665971342 . _:b665971341 . _:b665971340 . _:b665176859 . _:b665971339 . _:b665971338 . _:b665176861 . _:b665971337 . _:b665176860 . _:b665177086 _:b665177089 . _:b665971336 . _:b665176863 . _:b665971335 . _:b665176862 . _:b665971334 . _:b665971333 . _:b665971332 . _:b665971331 . _:b665971330 . _:b675160852 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665971329 . _:b665971328 . _:b665177066 . _:b665971359 . _:b665971358 . _:b665971357 . _:b665793950 . _:b665971356 . _:b665971355 . _:b665458854 . _:b662810224 . _:b665971354 . _:b665458855 . _:b665176663 _:b665176664 . _:b665971353 . _:b665857597 . _:b665176661 _:b665176662 . _:b665971352 . _:b662810227 . _:b665971177 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665176879 . _:b665971351 . _:b665458858 . _:b665971350 . _:b665458859 . _:b665176865 . _:b665971349 . _:b665176659 _:b665176661 . _:b665458856 . _:b665176864 . _:b665176656 _:b665176657 . _:b665971348 . _:b665458857 . _:b665176867 . _:b665971347 . _:b665458862 . _:b665176659 _:b665176660 . _:b665176866 . _:b665971346 . _:b665458863 . _:b663277871 _:b663277875 . _:b665971345 . _:b665458860 . _:b665176868 . _:b665971344 . _:b665458861 . _:b665458866 . _:b665458867 . _:b665458864 . _:b674016514 . _:b665458865 . _:b663277866 _:b663277867 . _:b665458870 . _:b665795267 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665458871 . _:b665458868 . _:b665176640 _:b665176641 . _:b665458869 . _:b674016521 . _:b665458874 . _:b665176642 _:b665176643 . _:b665458875 . _:b665176647 _:b665176648 . _:b665458872 . _:b665176880 . _:b665176645 _:b665176646 . _:b665458873 . _:b665176645 _:b665176647 . _:b665458878 . _:b665458879 . _:b662810217 . _:b663277875 _:b663277874 . _:b665795387 . _:b665458876 . _:b663277875 _:b663277872 . _:b665458877 . _:b663277874 _:b663277873 . _:b665176649 _:b665176650 . _:b665459010 . _:b662810220 . _:b665793843 . _:b665795384 . _:b665459011 . _:b665176654 _:b665176655 . _:b665459008 . _:b665176652 _:b665176654 . _:b665795216 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b663277827 _:b663277826 . _:b665459009 . _:b665176652 _:b665176653 . _:b665459014 . _:b665459015 . _:b665121985 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665176616 _:b665176613 . _:b665459012 . _:b665176908 . _:b663277832 _:b663277835 . _:b665793833 . _:b665176612 _:b665176617 . _:b663277828 _:b663277827 . _:b665176617 _:b665176616 . _:b665795378 . _:b665459013 . . _:b665176909 . _:b665795612 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b678849933 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665459018 . _:b665176910 . _:b665176616 _:b665176615 . _:b665793827 . _:b665459019 . _:b665176911 . _:b663277834 _:b663277833 . _:b665176621 _:b665176620 . _:b665459016 . _:b674016703 . _:b674348287 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665459017 . _:b663277835 _:b663277834 . _:b665795381 . _:b674016702 . _:b665459022 . _:b674016701 . _:b665176899 . _:b665176620 _:b665176619 . _:b662809919 . _:b665459023 . _:b665793824 . _:b674016700 . _:b665176900 . _:b665459020 . _:b662809917 . _:b666093285 . _:b665459021 . _:b662809917 . _:b663277825 _:b663277828 . _:b665459026 . _:b665793929 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665971406 . _:b665459027 . _:b665793828 . _:b666093288 . _:b665176638 _:b665176640 . _:b665971405 . _:b665176623 _:b665176631 . _:b665459024 . _:b663277824 _:b663277825 . _:b665971404 . _:b663277844 _:b663277843 . _:b663277850 _:b663277854 . _:b665459025 . _:b665176618 _:b665176621 . _:b665971403 . _:b665459030 . _:b665176615 _:b665176614 . _:b665971402 . _:b665459031 . _:b663277843 _:b663277842 . _:b666093292 . _:b665176636 _:b665176635 . _:b665793816 . _:b665971401 . _:b665176638 _:b665176639 . _:b665459028 . _:b665793809 . _:b665971400 . _:b665459029 . _:b663277831 _:b663277832 . . _:b665971399 . _:b665459034 . _:b666093295 . _:b665971398 . _:b666093316 . _:b665459035 . _:b665176912 . _:b665793820 . _:b665971397 . _:b665459032 . _:b663277854 _:b663277851 . _:b665176913 . _:b665971396 . _:b665459033 . _:b663277853 _:b663277852 . _:b665971395 . _:b663277841 _:b663277844 . _:b665176634 _:b665176633 . _:b665459038 . _:b665176635 _:b665176634 . _:b663277854 _:b663277853 . _:b663277845 _:b663277849 . _:b665971394 . _:b665793815 . _:b665459039 . _:b665176631 _:b665176630 . _:b663277848 _:b663277847 . _:b665971393 . _:b663277849 _:b663277846 . _:b663277849 _:b663277848 . _:b665459036 . _:b665176632 _:b665176636 . _:b665971392 . _:b665176630 _:b665176629 . _:b665459037 . _:b665793810 . _:b665176628 _:b665176627 . _:b665176629 _:b665176628 . _:b665459042 . _:b663277949 _:b663277951 . _:b665793819 . _:b665176861 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665459043 . _:b674016720 . _:b665176626 _:b665176625 . _:b665459040 . _:b674016721 . _:b665176627 _:b665176626 . _:b665793813 . _:b674016726 . _:b665793821 . _:b665459041 . _:b665793814 . _:b663277949 _:b663277950 . _:b674348822 . _:b665459046 . _:b666092694 . _:b665176625 _:b665176624 . _:b665459047 . . _:b674016725 . _:b665793792 . _:b674016697 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665459044 . _:b663277946 _:b663277947 . _:b665793793 . _:b674016235 . _:b665459045 . _:b663277944 _:b663277945 . _:b674016234 . _:b665459050 . _:b665459051 . _:b665459144 . _:b665176931 . _:b665459048 . _:b674016734 . _:b663277942 _:b663277944 . _:b665459049 . _:b663277942 _:b663277943 . _:b665793806 . _:b665793798 . _:b674016735 . _:b665459054 . _:b665458950 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b663277937 _:b663277938 . _:b665459055 . _:b665176581 _:b665176585 . _:b665793800 . _:b674016733 . _:b665176584 _:b665176583 . _:b665459052 . _:b665970831 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665176585 _:b665176582 . _:b665176585 _:b665176584 . _:b665459217 . _:b665459053 . _:b666092734 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b663277939 _:b663277940 . _:b674016707 . _:b665459058 . _:b663277928 _:b663277930 . _:b665176932 . _:b665459059 . _:b665459056 . _:b663277935 _:b663277937 . _:b663277930 _:b663277931 . _:b663277935 _:b663277936 . _:b665793805 . _:b665459057 . _:b663277928 _:b663277929 . _:b665459062 . _:b665793799 . _:b674016708 . _:b665459063 . _:b663277920 _:b663277919 . _:b663277922 _:b663277926 . _:b665459060 . _:b663277932 _:b663277933 . _:b665459061 . _:b665176576 _:b665176577 . _:b665459066 . _:b665459067 . _:b665459064 . _:b665459065 . _:b663277921 _:b663277920 . _:b665459070 . _:b665459071 . _:b665459068 . _:b663277926 _:b663277925 . _:b663277924 _:b663277923 . _:b663277925 _:b663277924 . _:b665459069 . _:b665458946 . _:b663277911 _:b663277910 . _:b665459203 . _:b665458947 . _:b663277906 _:b663277903 . _:b665971360 . _:b665458944 . _:b665971363 . _:b663277910 _:b663277909 . _:b665458945 . _:b665458950 . _:b663277905 _:b663277904 . _:b662809741 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665458951 . _:b663277906 _:b663277905 . _:b663277907 _:b663277906 . _:b665176971 _:b665176977 . _:b665458948 . _:b665458949 . _:b665458954 . _:b665122123 . _:b663277916 _:b663277915 . _:b663277917 _:b663277916 . _:b665458955 . _:b665459210 . _:b665458952 . _:b663277919 _:b663277918 . _:b665176964 _:b665176962 . _:b674016650 . _:b665458953 . _:b665176965 _:b665176964 . _:b665458958 . _:b663277918 _:b663277917 . _:b665458959 . _:b665458956 . _:b674016738 . _:b665176969 _:b665176967 . _:b665458957 . _:b663277908 _:b663277911 . _:b663277915 _:b663277914 . _:b663277913 _:b663277921 . _:b665176970 _:b665176969 . _:b665458962 . _:b665176966 _:b665176970 . _:b674016736 . _:b665458963 . _:b665176973 _:b665176972 . _:b674016737 . _:b665458960 . _:b665458961 . _:b665176975 _:b665176974 . _:b665459140 . _:b665458966 . _:b665970735 . _:b665176961 _:b665176965 . _:b665176974 _:b665176973 . _:b665458967 . _:b665176983 _:b665176982 . _:b665176962 _:b665176963 . _:b665458964 . _:b663277902 _:b663277907 . _:b665176976 _:b665176975 . _:b674016328 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665458965 . _:b665176303 . _:b665122206 . _:b665176982 _:b665176981 . _:b665458970 . _:b665176302 . . _:b665458971 . _:b665176301 . _:b665458968 . _:b665176300 . _:b665458969 . _:b665176299 . _:b665458974 . _:b665176298 . _:b665176967 _:b665176968 . _:b665176977 _:b665176976 . _:b665458975 . _:b665176297 . _:b665458972 . _:b663277951 _:b663277952 . _:b665458973 . _:b665458978 . _:b663277953 _:b663277954 . _:b665458979 . _:b665458976 . _:b665458977 . _:b665176980 _:b665176983 . _:b665458982 . _:b665458983 . _:b665176997 _:b665177000 . _:b665177023 _:b665177027 . _:b665458980 . _:b665458981 . _:b665176319 . _:b665458986 . _:b665176318 . _:b665177000 _:b665176999 . _:b665458987 . _:b665176317 . _:b665458984 . _:b665176316 . _:b665458985 . _:b665176315 . _:b665458990 . _:b665176314 . _:b665177005 _:b665177004 . _:b678849764 . _:b665177006 _:b665177005 . _:b665458991 . _:b665176313 . _:b665458988 . _:b665176312 . _:b665458989 . _:b665176311 . _:b678849639 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665458994 . _:b665176310 . _:b674348346 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665458995 . _:b665176309 . _:b665458992 . _:b665176308 . _:b665458993 . _:b665176307 . _:b665458998 . _:b665176306 . _:b665177009 _:b665177010 . _:b665176999 _:b665176998 . _:b665177003 _:b665177006 . _:b665458999 . _:b665176305 . _:b665177010 _:b665177013 . _:b665177021 _:b665177020 . _:b665458996 . _:b665176304 . _:b665458997 . _:b665177002 _:b665177003 . _:b665459002 . _:b665793979 . _:b665177022 _:b665177021 . _:b665459003 . _:b665793486 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665793980 . _:b665459000 . _:b665793973 . _:b665459001 . _:b665857050 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665459006 . _:b665459007 . _:b665459004 . _:b665177012 _:b665177011 . _:b665459005 . _:b665793978 . _:b665177013 _:b665177012 . _:b665459138 . _:b665177019 _:b665177022 . _:b665793971 . _:b665459139 . _:b665793972 . _:b665459136 . _:b665459137 . _:b665793974 . _:b663277770 . _:b665458958 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665459142 . _:b665793975 . _:b665176996 _:b665176997 . _:b665793983 . _:b665459143 . _:b663277820 . _:b665793960 . _:b665459140 . _:b665177049 _:b665177053 . _:b665793953 . _:b665459141 . _:b665458883 . _:b665459146 . _:b665122292 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665459147 . _:b665459144 . _:b665459145 . _:b674348868 . _:b665459150 . _:b665857006 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665121854 . _:b665856977 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665459151 . _:b665793952 . _:b665177053 _:b665177052 . _:b665459148 . _:b674348871 . _:b665793961 . _:b665459149 . _:b665793954 . _:b665177053 _:b665177050 . _:b665459154 . _:b665121850 . _:b665177052 _:b665177051 . _:b665459155 . _:b665459152 . _:b665793957 . _:b674348875 . _:b665459153 . _:b665793958 . _:b665459158 . _:b665793959 . _:b662810032 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665459159 . _:b665122516 . _:b674348878 . _:b665459156 . _:b665177027 _:b665177026 . _:b665459157 . _:b665176367 . _:b665177027 _:b665177024 . _:b665795371 . _:b665459162 . _:b665176366 . _:b665177026 _:b665177025 . _:b665177044 _:b665177045 . _:b678849564 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665459163 . _:b668716706 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665176365 . _:b665793972 . _:b665459160 . _:b665176364 . _:b665459161 . _:b665176363 . _:b665970751 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665459166 . _:b665176362 . _:b665793951 . _:b665177031 _:b665177030 . _:b665459167 . _:b665176361 . _:b665177032 _:b665177029 . _:b665459164 . _:b665176360 . _:b665177028 _:b665177032 . _:b665459165 . _:b665176359 . _:b665459170 . _:b665176358 . _:b665177032 _:b665177031 . _:b665459171 . _:b665176357 . _:b665459168 . _:b665176356 . _:b665459169 . _:b665176355 . _:b665459174 . _:b665176354 . _:b665459175 . _:b665176353 . _:b665177084 _:b665177083 . _:b665177085 _:b665177084 . _:b665459172 . _:b665176352 . _:b665459173 . _:b665176383 . _:b665459178 . _:b665176382 . _:b665177084 _:b665177081 . _:b665459179 . _:b665176381 . _:b665177083 _:b665177082 . _:b665459176 . _:b665793820 . _:b665176380 . _:b665459177 . _:b665176379 . _:b665459182 . _:b665176378 . _:b665459183 . _:b665176377 . _:b665177080 _:b665177085 . _:b665459180 . _:b665176376 . _:b665458912 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665459181 . _:b668378683 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665176375 . _:b674348374 . _:b674348398 . _:b665459186 . _:b665176374 . _:b666093093 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b674348397 . _:b665459187 . _:b665176373 . _:b674348372 . _:b665459184 . _:b665176372 . _:b665795288 . _:b674348371 . _:b665459185 . _:b665176371 . _:b665459190 . _:b668716311 . _:b665176370 . _:b665459191 . _:b665176369 . _:b674348368 . _:b665459188 . _:b665176368 . _:b665794041 . _:b674348383 . _:b665459189 . _:b665176335 . _:b665794042 . _:b665459194 . _:b668716312 . _:b663277643 . _:b665176334 . _:b665794035 . _:b665459195 . _:b665176333 . _:b674348380 . _:b665459192 . _:b665176332 . _:b665794045 . _:b674348379 . _:b665459193 . _:b665176331 . _:b665794046 . _:b674348378 . _:b665459198 . _:b665176330 . _:b665794047 . _:b665176831 . _:b665459199 . _:b665176329 . _:b665794040 . _:b665459196 . _:b665176328 . _:b674348359 . _:b665459197 . _:b668716290 . _:b665176327 . _:b665459074 . _:b665176326 . _:b665459075 . _:b665176325 . _:b665794036 . _:b665459072 . _:b665176324 . _:b665794037 . _:b665459073 . _:b665176323 . _:b674348354 . _:b665459078 . _:b665176322 . _:b665459079 . _:b665176321 . _:b665176592 . _:b674348352 . _:b665459076 . _:b668716754 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665176320 . _:b665970991 . _:b668716703 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665459077 . _:b665176351 . _:b665794026 . _:b674348366 . _:b674348708 . _:b665459082 . _:b665176350 . _:b665794027 . _:b665459164 . _:b665459083 . _:b665176349 . _:b665794028 . _:b665459080 . _:b665121991 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665176348 . _:b665794029 . _:b674348363 . _:b674348705 . _:b665459081 . _:b665176347 . _:b665794030 . _:b665794022 . _:b665459086 . _:b665176346 . _:b665793921 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b674348707 . _:b674348361 . _:b668716530 . _:b665459087 . _:b665176345 . _:b665794016 . _:b674348706 . _:b665459084 . _:b665176344 . _:b665459085 . _:b665176343 . _:b674348750 . _:b665459090 . _:b665176342 . _:b665794019 . _:b665459091 . _:b665176341 . _:b665794020 . _:b662810110 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665459088 . _:b665176340 . _:b665794021 . _:b665459089 . _:b665176339 . _:b665970994 . _:b665459094 . _:b665176338 . _:b665794023 . _:b665794031 . _:b665459095 . _:b665176337 . _:b665794008 . _:b674348653 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665459092 . _:b665176336 . _:b665459093 . _:b665176431 . _:b665794010 . _:b665459098 . _:b665176430 . _:b665459099 . _:b665176429 . _:b665176631 . _:b665459096 . _:b665176428 . _:b665794013 . _:b665459097 . _:b674348754 . _:b665176427 . _:b665794014 . _:b674348738 . _:b665793632 . _:b665459102 . _:b665176426 . _:b665459103 . _:b665176629 . _:b665176425 . _:b665971354 . _:b665794000 . _:b665459100 . _:b674348753 . _:b665176424 . _:b665794001 . _:b665794009 . _:b665459233 . _:b674348391 . _:b665459101 . _:b665176423 . _:b665794002 . _:b665459106 . _:b665176422 . _:b665794003 . _:b674348389 . _:b665459107 . _:b665176421 . _:b665794004 . _:b674348388 . _:b665459104 . _:b665176420 . _:b665794005 . _:b665459105 . _:b665176419 . _:b665794006 . _:b665459110 . _:b665176418 . _:b665794007 . _:b665794015 . _:b674348385 . _:b665459111 . _:b665176417 . _:b665459108 . _:b674348760 . _:b665176416 . _:b665793993 . _:b665459109 . _:b674348759 . _:b665176447 . _:b674348398 . _:b665459114 . _:b665176446 . _:b674348759 . _:b674348723 . _:b665459115 . _:b665176445 . _:b665793996 . _:b674348722 . _:b674348396 . _:b665459112 . _:b665176444 . _:b665793997 . _:b675160961 . _:b665459113 . _:b665176443 . _:b665793998 . _:b665459118 . _:b665176442 . _:b665793999 . _:b674348755 . _:b674348393 . _:b665459119 . _:b665176441 . _:b665793992 . _:b665459116 . _:b665176440 . _:b665793602 . _:b665459117 . _:b665176439 . _:b674348310 . _:b674348755 . _:b665459122 . _:b665176438 . _:b674348309 . _:b665459123 . _:b665176437 . _:b665459120 . _:b665176436 . _:b674348758 . _:b665459121 . _:b665176435 . _:b665793990 . _:b665459126 . _:b665176434 . _:b665793991 . _:b674348715 . _:b674348305 . _:b674348756 . _:b665459127 . _:b665176433 . _:b665793584 . _:b665176907 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b674348304 . _:b674348757 . _:b665459124 . _:b665176432 . _:b665794129 . _:b674348319 . _:b665459125 . _:b665176399 . _:b665459130 . _:b665176398 . _:b674348317 . _:b665459131 . _:b665176397 . _:b665794134 . _:b674348316 . _:b665459128 . _:b662809665 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665176396 . _:b666093075 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b674348315 . _:b665459129 . _:b665176395 . _:b678849500 . _:b665459134 . _:b665176394 . _:b665459135 . _:b665176393 . _:b665793592 . _:b665459029 . _:b665459132 . _:b665176392 . _:b665793585 . _:b665459028 . _:b665459133 . _:b665176391 . _:b674348724 . _:b674348734 . _:b665794136 . _:b665176390 . _:b674348725 . _:b665794143 . _:b678849744 . _:b665176389 . _:b665793588 . _:b674348726 . _:b665176820 . _:b665176388 . _:b665793589 . _:b674348727 . _:b665176627 . _:b665176819 . _:b674348291 . _:b665794141 . _:b665176387 . _:b665793590 . _:b665176614 . _:b665176625 . _:b674348290 . _:b665459223 "2024-09-15T04:09:26.820449"^^ . _:b665176386 . _:b665793591 . _:b665176823 . _:b674348289 . _:b665176385 . _:b665176628 . _:b665176956 _:b665176955 . _:b665176957 _:b665176956 . _:b665176822 . _:b674348288 . _:b665176384 . _:b665794113 . _:b674348303 . _:b665176630 . _:b665176415 . _:b665176414 . _:b665176958 _:b665176957 . _:b665458861 . _:b665176413 . _:b665793505 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665176633 . _:b665176949 _:b665176958 . _:b665176412 . _:b665176953 _:b665176952 . _:b665176634 . _:b665793630 . _:b674348299 . _:b665176411 . _:b665793582 . _:b674348728 . _:b665176635 . _:b665122298 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665176954 _:b665176953 . _:b674348298 . _:b665176955 _:b665176954 . _:b665176636 . _:b665176410 . _:b665793583 . _:b665176952 _:b665176951 . _:b665176951 _:b665176950 . _:b665176409 . _:b665794122 . _:b665176408 . _:b665176944 _:b665176943 . _:b668378694 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b668378606 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665176407 . _:b665795776 . _:b665794120 . _:b665176406 . _:b678849827 _:b678849828 . _:b665794127 . _:b674348341 . _:b665176405 . _:b665177060 . _:b665176404 . _:b678849827 _:b678849832 . _:b674348339 . _:b665793858 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665176403 . _:b674348338 . _:b678849508 . _:b665971120 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665176402 . _:b665459070 . _:b665176401 . _:b665176400 . _:b665176495 . _:b674348350 . _:b665176494 . _:b665176493 . _:b674348348 . _:b665176492 . _:b665176943 _:b665176942 . _:b674348734 . _:b665176491 . _:b678849834 _:b678849839 . _:b678849834 _:b678849835 . _:b674348735 . _:b665176490 . _:b674348345 . _:b665176489 . _:b674348344 . _:b665176488 . _:b665176487 . _:b665176486 . _:b665176485 . _:b678849820 _:b678849821 . _:b674348324 . _:b665176484 . _:b674348726 . _:b674348323 . _:b665176941 _:b665176944 . _:b665176483 . _:b674348322 . _:b665176482 . _:b665459392 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b674348699 . _:b674348321 . _:b665176481 . _:b674348320 . _:b678849526 . _:b665176480 . _:b665857591 . _:b665122343 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b674348335 . _:b665176511 . _:b678849820 _:b678849825 . _:b674348334 . _:b665176510 . _:b678849813 _:b678849818 . _:b665176509 . _:b665176508 . _:b674348331 . _:b678849813 _:b678849814 . _:b665176507 . _:b665176506 . _:b665176505 . _:b674348318 . _:b674348720 . _:b665176785 . _:b674348319 . _:b665176504 . _:b674348721 . _:b665176784 . _:b665176503 . _:b665176502 . _:b675160903 . _:b665176501 . _:b665176500 . _:b665176499 . _:b665176498 . _:b666092786 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b674348663 . _:b665176497 . _:b674348662 . _:b665176496 . _:b665793657 . _:b674348665 . _:b665459519 . _:b665176463 . _:b665793658 . _:b674348664 . _:b665794064 . _:b665176462 . _:b665459328 . _:b665793659 . _:b674348667 . _:b675160911 . _:b678849691 . _:b665176461 . _:b665459329 . _:b665793660 . _:b674348666 . _:b675160910 . _:b665176460 . _:b665793661 . _:b665793653 . _:b665176459 . _:b674348668 . _:b665176785 . _:b665176458 . _:b665176784 . _:b665795791 . _:b665857008 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665176457 . _:b665176456 . _:b665176455 . _:b665793650 . _:b665795778 . _:b665176454 . _:b665793651 . _:b665176453 . _:b665793652 . _:b665122032 . _:b665176452 . _:b665857555 . _:b674348669 . _:b665176451 . _:b665793654 . _:b665793662 . _:b665176450 . _:b665176449 . _:b675160483 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665176448 . _:b665793641 . _:b678849686 . _:b665176479 . _:b665176478 . _:b675160908 . _:b665176477 . _:b665793644 . _:b665176476 . _:b665793645 . _:b665176475 . _:b678849693 . _:b665176474 . _:b665793647 . _:b665176473 . _:b665793632 . _:b665793640 . _:b665176472 . _:b665793633 . _:b678849694 . _:b665176471 . _:b665793634 . _:b665176470 . _:b665793635 . _:b665176469 . _:b665857052 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665793636 . _:b665176468 . _:b665793637 . _:b665176381 . _:b665176467 . _:b665793638 . _:b665176380 . _:b665176915 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665793646 . _:b665176466 . _:b665793639 . _:b665857038 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665176379 . _:b665176465 . _:b665793624 . _:b665176378 . _:b665176464 . _:b665176377 . _:b665176559 . _:b665970808 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665176558 . _:b665793627 . _:b665176557 . _:b665793628 . _:b665176883 . _:b665176556 . _:b665793629 . _:b665176882 . _:b665176555 . _:b665793630 . _:b665176881 . _:b665794100 . _:b665176554 . _:b665793631 . _:b665793623 . _:b665176553 . _:b665122060 . _:b665176552 . _:b665176551 . _:b665794104 . _:b665176550 . _:b665176884 . _:b665176549 . _:b665794086 . _:b674348893 . _:b665176548 . _:b665793621 . _:b665176547 . _:b665793622 . _:b665176888 . _:b665176546 . _:b665176889 . _:b666093117 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665970803 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665176545 . _:b665176544 . _:b665176575 . _:b665793610 . _:b665176574 . _:b665793611 . _:b665176573 . _:b665793604 . _:b665176572 . _:b665795225 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665176571 . _:b665176570 . _:b665176569 . _:b665176568 . _:b665793609 . _:b665176567 . _:b665793602 . _:b665795753 . _:b665176566 . _:b665793603 . _:b665794095 . _:b665176565 . _:b665176564 . _:b665793605 . _:b665176563 . _:b665793606 . _:b665793614 . _:b665793905 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665176562 . _:b665795756 . _:b665176561 . _:b665793720 . _:b665795747 . _:b674348854 . _:b665176560 . _:b665793721 . _:b665176527 . _:b665793722 . _:b662809676 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665176526 . _:b665971318 . _:b665176525 . _:b665793724 . _:b665176914 . _:b665176524 . _:b665793725 . _:b665176915 . _:b665795750 . _:b665176523 . _:b665176522 . _:b665176521 . _:b665793712 . _:b665176918 . _:b665176520 . _:b665793713 . _:b665176919 . _:b665176519 . _:b665793714 . _:b665176916 . _:b665857061 . _:b665176518 . _:b665793715 . _:b665176917 . _:b665857062 . _:b665793723 . _:b665176517 . _:b665793716 . _:b665857063 . _:b665176516 . _:b665793717 . _:b665176515 . _:b665793718 . _:b665176514 . _:b665793719 . _:b665176513 . _:b665793704 . _:b665176512 . _:b665793705 . _:b665176543 . _:b665793706 . _:b665176542 . _:b665793707 . _:b662810045 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665176541 . _:b665794045 . _:b665793708 . _:b665857423 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665176540 . _:b665793709 . _:b665857056 . _:b665176539 . _:b665794047 . _:b665793710 . _:b665459326 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665857057 . _:b665176538 . _:b665793711 . _:b665176537 . _:b663276492 . _:b665176868 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665176902 . _:b665176536 . _:b665793697 . _:b665122062 . _:b665176535 . _:b665793698 . _:b665176534 . _:b665176958 . _:b665793699 . _:b665176901 . _:b665176533 . _:b665176906 . _:b665793700 . _:b665176532 . _:b665176907 . _:b665793701 . _:b665176531 . _:b665176955 . _:b665793702 . _:b665176957 . _:b665176530 . _:b665793703 . _:b665793581 . _:b665971282 . _:b665176529 . _:b665793688 . _:b665176528 . _:b665793689 . _:b674016603 . _:b665176528 . _:b665176623 . _:b665793690 . _:b665176622 . _:b665793691 . _:b665176621 . _:b665176620 . _:b665793693 . _:b665857075 . _:b665176619 . _:b665793694 . _:b665857074 . _:b665856935 . _:b665176618 . _:b665176534 . _:b665176617 . _:b665793680 . _:b674016604 . _:b665176616 . _:b665793681 . _:b675160774 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b674016338 . _:b665176615 . _:b665793682 . _:b674016339 . _:b665176614 . _:b665793683 . _:b665176613 . _:b665793684 . _:b665793692 . _:b665857076 . _:b665176541 . _:b665176612 . _:b665793685 . _:b665176611 . _:b665793686 . _:b665971267 . _:b665176610 . _:b665793687 . _:b665857050 . _:b665176609 . _:b665793672 . _:b665971269 . _:b665176608 . _:b665793673 . _:b674016438 . _:b665176639 . _:b665793666 . _:b665459171 . _:b665176638 . _:b665176637 . _:b665793676 . _:b665459249 . _:b665176636 . _:b665793677 . _:b665176635 . _:b665793678 . _:b665971275 . _:b674016351 . _:b665176634 . _:b665793679 . _:b665793671 . "Christian A. Boelling"@en . _:b665176633 . _:b665176632 . _:b665176631 . _:b665176630 . _:b665793667 . _:b665176629 . _:b665793668 . _:b665122498 . _:b665176628 . _:b665176627 . _:b666093063 . _:b665176626 . _:b665176526 . _:b665176625 . _:b665795401 . _:b665176624 . _:b665122227 . _:b674016331 . _:b665122226 . _:b665176591 . _:b665176590 . _:b665176589 . _:b665176588 . _:b665793781 . _:b665176587 . _:b665793782 . _:b674016334 . _:b665176586 . _:b674016333 . _:b665176585 . _:b665176924 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665795636 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b674016332 . _:b665176584 . _:b665971211 . _:b665176583 . _:b665176582 . _:b665857421 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b674016368 . _:b665176581 . _:b665793788 . _:b674016369 . _:b665176580 . _:b665793789 . _:b665176579 . _:b666093361 . _:b665176578 . _:b665795655 . _:b665176577 . _:b665176951 . _:b668378660 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665176576 . _:b665176607 . _:b665121858 . _:b665121857 . _:b665176606 . _:b665176953 . _:b665176605 . _:b665176604 . _:b665176939 . _:b665176603 . _:b665176954 . _:b665176602 . _:b666093368 . _:b665176956 . _:b665176601 . _:b665176600 . _:b678849770 . _:b665176940 . _:b665176599 . _:b663277673 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b674348899 . _:b665176598 . _:b665176597 . _:b674016352 . _:b666093375 . _:b665176596 . _:b678849726 . _:b665176595 . _:b665176594 . _:b674016356 . _:b665793413 . _:b665176593 . _:b674016357 . _:b665176592 . _:b665122270 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665970979 . _:b674016366 . _:b674016367 . _:b665459196 . _:b674016364 . _:b665971104 . . _:b674016365 . _:b666093354 . _:b668379063 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665177088 _:b665177087 . _:b665793734 . _:b665793729 . _:b665459540 . _:b668716784 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665795571 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857419 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665793512 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665793743 . _:b665793730 . _:b674348872 . _:b662810312 "2023-12-20T04:22:41.726264"^^ . _:b666093167 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665793733 . _:b675161051 . _:b665795705 "1"^^ . _:b665176655 . _:b665176654 . _:b665795711 "1"^^ . _:b665176653 . _:b665971172 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665176652 . _:b665176651 . _:b665176650 . _:b665176649 . _:b665122223 . _:b665176648 . _:b675161044 . _:b665176647 . _:b674348340 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665176646 . _:b665795474 . _:b665176645 . _:b665122219 . _:b665176644 . _:b665970698 . _:b665176643 . _:b665176642 . _:b665176641 . _:b665857407 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b675161037 . _:b665176640 . _:b665971134 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857001 . _:b665857000 . _:b665857003 . _:b665857002 . _:b665857005 . _:b678850008 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665459271 . _:b665857004 . _:b665176664 . _:b665857007 . _:b665176663 . _:b665857006 . _:b665176662 . _:b675161030 . _:b665176661 . _:b665176660 . _:b663277682 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b668716802 "requested by Melanie Courtot" . _:b665176659 . _:b665122360 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665795650 . _:b665176658 . _:b665795651 . . . _:b665176657 . _:b665795648 . _:b665176656 . . _:b665795649 . . . _:b665795654 . . _:b668716334 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665795655 . _:b665795652 . _:b665793676 . _:b665795653 . _:b665857054 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665459270 . _:b665795658 . . _:b665793678 . _:b665795659 . _:b665121929 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665857021 . _:b665795656 . _:b662809663 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665857020 . _:b665795657 . _:b665795662 . _:b666092724 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b662809778 . _:b665795663 . _:b665857009 . _:b665795660 . _:b665857008 . _:b665795661 . . _:b665795666 . _:b668379052 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665795667 . _:b665793689 . _:b665795664 . _:b665795665 . _:b668716431 . _:b665795656 "1"^^ . _:b665176767 . _:b665795670 . . _:b665795657 "1"^^ . . _:b665176766 . _:b665795671 . _:b668716344 . . . . _:b665176765 . . _:b665795668 . . . . _:b665176764 . . _:b665795669 . _:b668716342 . . . _:b665795674 . _:b668716343 . . _:b665795675 . _:b668716340 . . . _:b665795672 . _:b668716341 . _:b668716345 . _:b668716351 . _:b665795673 . _:b668716350 . . . _:b665793683 . _:b665795678 . _:b668716339 . . _:b665793682 . _:b665795679 . _:b668716346 . _:b665795676 . _:b665795677 . _:b668716322 . _:b665795682 . _:b665459489 . _:b665795683 . _:b665793811 . _:b665795680 . _:b674348887 . _:b665795681 . _:b668716320 . _:b665857228 . _:b665795686 . _:b678849733 . _:b665857231 . _:b665795687 . _:b665795684 . _:b668716323 . _:b665795685 . _:b665459534 . _:b665795690 . _:b674016583 . _:b665795691 . _:b668716334 . _:b665795688 . _:b668716432 . _:b665795689 . _:b665793817 . _:b665795694 . _:b665177082 . _:b674016359 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665795695 . _:b668716332 . _:b665795692 . _:b668716333 . _:b665793822 . _:b665795693 . _:b665795698 . _:b665795699 . _:b665459149 . _:b665793721 . _:b665795696 . _:b665793794 . _:b665795697 . _:b665971306 . _:b665795702 . _:b675160813 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665795703 . _:b665795700 . _:b665856925 . _:b668716898 . _:b663276294 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665795701 . _:b665795706 . _:b665795707 . _:b665856926 . _:b665794001 . _:b665793803 . _:b665795704 . _:b665795705 . _:b665793801 . _:b665459404 . _:b665459592 . _:b665795710 . _:b665970885 . _:b668716319 . _:b665176972 . _:b668716796 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665795711 . _:b665793807 . _:b665458863 . _:b665795708 . _:b665795709 . _:b674348712 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665795586 . _:b665795587 . _:b665795584 . _:b668716392 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665795585 . _:b665176815 . _:b665795590 . _:b665176981 . _:b665176814 . _:b665795591 . _:b665176813 . _:b665795588 . _:b665176812 . _:b678849922 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665795589 . _:b665176811 . _:b665795594 . _:b665176810 . _:b665795595 . _:b665176809 . _:b665795592 . _:b665793971 . _:b665176973 . _:b665459253 . _:b665970955 . _:b665176808 . _:b665856926 . _:b665795593 . _:b665176974 . _:b663277736 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665176807 . _:b665856925 . _:b665176975 . _:b665795598 . _:b665176806 . _:b665176976 . _:b665795599 . _:b665176805 . _:b665795596 . _:b665176804 . _:b665795597 . _:b665794068 . _:b665176803 . _:b665795602 . _:b665176802 . _:b665795603 . _:b668716406 . _:b665176801 . _:b665795600 . _:b665176800 . _:b665795601 . _:b665793825 . _:b665176831 . _:b665795606 . _:b668716401 . _:b665176830 . _:b665795607 . _:b665176829 . _:b665857012 . _:b665795604 . _:b668716403 . _:b665176828 . _:b674016335 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665795605 . _:b668716412 . _:b665793829 . _:b665176827 . _:b665795610 . _:b665176826 . _:b665795611 . _:b668716414 . _:b665176825 . _:b665795608 . _:b665176824 . _:b665795609 . _:b665176823 . _:b665795614 . _:b666092805 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665176822 . _:b665795615 . _:b665176821 . _:b665857020 . _:b665795612 . _:b665970843 . _:b665176820 . _:b665795613 . _:b668716386 . _:b668716388 . _:b665176819 . _:b665857022 . _:b665795618 . _:b665176818 . _:b665795619 . _:b668379029 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b668716390 . _:b665176817 . _:b665857016 . _:b665795616 . _:b665176816 . _:b665795617 . _:b675160668 . _:b665176783 . _:b665795622 . _:b665176782 . _:b665795623 . _:b668378835 . _:b665970844 . _:b665176781 . _:b665795620 . _:b668379086 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665793999 . _:b665176780 . _:b665795621 . _:b668716394 . _:b665176779 . _:b665856998 . _:b665795626 . _:b668716395 . _:b675160592 . _:b668716397 . _:b665176778 . _:b665795627 . _:b665794011 . _:b665176777 . _:b665856992 . _:b675160661 . _:b665795624 . _:b668716399 . _:b665176776 . _:b665795625 . _:b668716392 . _:b665176775 . _:b665795630 . _:b665176977 . _:b665122431 . _:b665176774 . _:b665795631 . _:b665857334 . _:b665459510 . _:b665176773 . _:b665795628 . _:b665857335 . _:b665176772 . _:b665857005 . _:b665795629 . _:b665857336 . _:b665971045 . _:b665176771 . _:b665795634 . _:b675160475 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665176770 . _:b665795635 . _:b665176769 . _:b665795632 . _:b668716375 . _:b665177131 _:b665177132 . _:b665176768 . _:b665795633 . _:b665176799 . _:b665795638 . _:b665177129 _:b665177130 . _:b665793984 . . _:b665176798 . _:b665795639 . _:b665176797 . _:b665795636 . _:b668716352 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b668716371 . _:b665176796 . _:b665795637 . _:b665857364 . _:b665176795 . _:b665795642 . _:b665857365 . _:b668716381 . _:b665459399 . _:b665121901 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665176794 . _:b665795643 . _:b665857366 . _:b663276471 . _:b665459398 . _:b665176793 . _:b665795640 . _:b665177022 . _:b665793994 . _:b665176792 . _:b665177020 . _:b665795641 . _:b665177120 _:b665177121 . _:b665857360 . . _:b665177021 . _:b665856984 . _:b665176791 . _:b665177120 _:b665177122 . _:b665795646 . _:b665857361 . _:b665856985 . _:b665176790 . _:b665795647 . _:b665857362 . _:b665177122 _:b665177123 . _:b665856982 . _:b665176789 . _:b665177127 _:b665177128 . _:b665795769 . _:b665856986 . _:b665177124 _:b665177125 . _:b665857363 . _:b665795644 . _:b668716379 . _:b665856983 . _:b665176788 . _:b665795645 . _:b668378825 . _:b665856980 . _:b666092739 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665176787 . _:b665795778 . _:b668716357 . _:b665856981 . _:b665176786 . _:b665795779 . _:b665795483 . _:b665177127 _:b665177129 . _:b665176785 . _:b665795776 . _:b668378828 . _:b665121974 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . . _:b665176784 . _:b665856991 . _:b665795777 . _:b665176855 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665176879 . _:b665795782 . _:b665794032 . _:b665176878 . _:b665856987 . _:b665795783 . _:b665176877 . _:b665856964 . _:b665795780 . _:b665794038 . . _:b665176876 . . _:b665856963 . _:b665795243 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665459022 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665795781 . _:b668716364 . _:b665459440 . . _:b665176875 . . _:b665856960 . . _:b665795786 . _:b665176874 . _:b665795787 . _:b665794043 . _:b665176873 . _:b665795784 . . _:b665176872 . _:b665856961 . _:b665795785 . _:b662809999 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665176871 . _:b665795790 . _:b665176870 . _:b665795791 . _:b665176869 . _:b663277676 . _:b665795788 . _:b665176868 . _:b663277677 . _:b665795789 . . _:b663277678 . _:b665176867 . _:b665795794 . _:b665176866 . _:b665856975 . _:b675160682 . _:b665795795 . _:b665176865 . _:b663277672 . _:b665856974 . _:b665795792 . _:b665971143 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b663277673 . _:b665176864 . _:b665795793 . _:b665794017 . _:b665176895 . _:b663277674 . _:b665795798 . _:b665176894 . _:b663277675 . _:b665856973 . _:b665795799 . _:b665177089 _:b665177088 . _:b665177095 _:b665177094 . _:b665176893 . _:b665795796 . _:b665121966 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665176892 . _:b665795797 . _:b665857335 . _:b665177094 _:b665177093 . _:b665177100 _:b665177104 . _:b675160710 . _:b665176891 . _:b665795802 . _:b675160675 . _:b665122314 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665857334 . _:b665177093 _:b665177092 . _:b675160709 . _:b665176890 . _:b665795803 . _:b665857333 . _:b665176889 . _:b665795800 . _:b665857332 . _:b665176888 . _:b665795801 . _:b665970959 . _:b665177097 _:b665177096 . _:b665176887 . _:b665795806 . _:b665794024 . _:b665177098 _:b665177097 . _:b665177099 _:b665177098 . _:b665176886 . _:b665795807 . _:b665177096 _:b665177095 . _:b665122401 . _:b665176885 . _:b665795804 . _:b665176931 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665971191 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665176884 . _:b665971405 . _:b665795805 . _:b665177103 _:b665177102 . _:b665176883 . _:b665795810 . . _:b665176882 . . _:b665795811 . _:b665177091 _:b665177099 . . _:b665177102 _:b665177101 . _:b665176881 . _:b665795808 . . _:b665177108 _:b665177109 . _:b665857340 . . . _:b665176880 . _:b665795809 . . _:b665177104 _:b665177103 . _:b665857339 . . _:b665176847 . _:b665795814 . _:b675160812 . _:b665857338 . _:b665459514 . _:b665177110 _:b665177111 . _:b665176846 . _:b665795815 . _:b665857337 . _:b665176845 . _:b665795812 . _:b675160810 . _:b665857336 . _:b665176844 . _:b665795813 . _:b675160811 . _:b665857392 . _:b665177106 _:b665177108 . _:b665971398 . _:b665857332 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665795245 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665176843 . _:b665795818 . _:b665795202 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665176842 . _:b674016734 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665795819 . _:b665177106 _:b665177107 . _:b665176841 . _:b665795816 . _:b665176840 . _:b665795817 . _:b665176839 . _:b665795822 . _:b665176838 . _:b665795823 . _:b663277687 . _:b665177117 _:b665177118 . _:b665176837 . _:b665795820 . _:b663277688 . _:b663277647 . _:b665795777 . _:b665177115 _:b665177116 . _:b665176836 . _:b665795821 . _:b663277689 . _:b663277646 . _:b665177113 _:b665177115 . _:b668716436 . _:b665176835 . _:b665795826 . _:b663277690 . _:b663277645 . _:b665177113 _:b665177114 . _:b663276301 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665459223 . _:b665176834 . _:b665795827 . _:b663277644 . _:b665176934 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b668716438 . _:b665176833 . _:b665795824 . _:b668716433 . _:b665176832 . _:b665795825 . _:b665176863 . _:b665795830 . _:b663277694 . _:b665176862 . _:b665795831 . _:b668716434 . _:b665176861 . _:b665795828 . _:b665176450 . _:b665176860 . _:b665795829 . _:b665176451 . _:b665857376 . _:b665176859 . . _:b663276456 . _:b665176448 . _:b665795834 . _:b665857377 . _:b674348343 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665176858 . _:b665795835 . _:b663277652 . _:b665176449 . _:b665857378 . _:b665122429 . _:b665176857 . _:b665795832 . _:b663277651 . _:b665795422 . _:b665176856 . _:b665795833 . _:b663277669 . _:b663277650 . _:b665176855 . _:b665795838 . _:b663277649 . _:b665176854 . _:b665795839 . _:b663277648 . _:b665857382 . _:b665176853 . _:b665795836 . _:b665971067 . _:b665176852 . _:b665795837 . _:b665176851 . _:b665795714 . _:b663277674 . _:b665122215 . _:b665176850 . _:b663276449 . _:b663277675 . _:b665795715 . _:b665970765 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857386 . _:b665793717 . _:b665176849 . _:b665795712 . _:b668716423 . _:b665176848 . _:b665795713 . _:b674348453 . _:b675160444 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665176943 . _:b665795718 . _:b665176942 . _:b665795719 . _:b665176941 . _:b665795716 . _:b663277648 . _:b665795594 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b668716421 . _:b665176940 . _:b665795717 . _:b665795727 . _:b665176939 . _:b665795722 . _:b665176938 . _:b665795723 . _:b665857362 . _:b665121971 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665971384 . _:b665176937 . _:b665795720 . _:b665857363 . _:b668716431 . _:b665176936 . _:b665795721 . _:b665176935 . _:b665795726 . _:b665793976 . _:b665176934 . _:b665795727 . _:b674348679 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665971391 . _:b674016852 . _:b668716426 . _:b665176933 . _:b665795724 . _:b665176932 . _:b668716361 . _:b665795725 . _:b663277657 . _:b665793981 . _:b665176931 . _:b668716360 . _:b665795730 . _:b663277658 . _:b665176930 . _:b668716363 . _:b665795731 . _:b665793536 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665793955 . _:b665176929 . _:b668716362 . _:b665795728 . _:b665176928 . _:b668716365 . _:b665795729 . _:b665176959 . _:b678849553 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b668716364 . _:b665795734 . _:b663277662 . _:b665176958 . _:b668716367 . _:b665795735 . _:b663277663 . _:b665122575 . _:b665176957 . _:b668716366 . _:b665795732 . _:b665857375 . _:b665795726 "1"^^ . _:b665176956 . _:b665795733 . _:b668378717 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . . _:b665795725 "1"^^ . _:b665176955 . _:b665795738 . _:b665857345 . _:b665795724 "1"^^ . _:b665176954 . _:b665795739 . _:b665857346 . _:b665176953 . _:b665795736 . _:b665793962 . _:b665176952 . _:b665795737 . _:b665176951 . _:b665795742 . _:b665176950 . _:b668716359 . _:b665795743 . _:b665857350 . _:b665176949 . _:b665795740 . _:b665857351 . _:b665795718 "1"^^ . _:b665176948 . _:b665795741 . _:b665795717 "1"^^ . _:b665176947 . _:b665121952 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665795746 . . _:b665176946 . _:b665795747 . _:b668716379 . _:b665176945 . _:b665795744 . _:b665794103 . _:b666092748 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665176944 . _:b665795745 . _:b665176911 . _:b665795750 . _:b668716380 . _:b663277646 . _:b665794098 . _:b665857357 . _:b665176910 . _:b665795751 . _:b663277647 . _:b665176909 . _:b665795748 . _:b665857346 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665176908 . _:b663276443 . _:b665795749 . _:b665176907 . _:b668716368 . _:b665795754 . _:b665176906 . _:b665795755 . _:b665176905 . _:b665795752 . _:b665459541 . _:b665176904 . _:b665795753 . _:b665793884 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665793625 . _:b665176903 . _:b665795758 . _:b663277606 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665176902 . _:b665794099 . _:b665795759 . _:b663277607 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665176901 . _:b665795756 . _:b665176900 . _:b665795757 . _:b665176899 . _:b665794102 . _:b665795762 . _:b665176898 . _:b665795763 . _:b665176897 . _:b665794088 . _:b665795760 . _:b665176896 . _:b665794089 . _:b665795761 . _:b665176927 . _:b663277742 . _:b665794090 . _:b665795766 . _:b665176926 . _:b663277743 . _:b665794091 . _:b665795767 . _:b665793607 . _:b665176925 . _:b663277744 . _:b665795764 . _:b668716399 . _:b665176924 . _:b665794093 . _:b665795765 . _:b665176923 . _:b665794094 . _:b665795770 . _:b665176922 . _:b665795771 . _:b663277731 . _:b665176921 . _:b665794080 . _:b665795768 . _:b665176920 . _:b665794081 . _:b668716285 . _:b665795769 . _:b665176919 . _:b668716284 . _:b665794082 . _:b662809701 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665795774 . _:b665176918 . _:b665794083 . _:b665795775 . _:b665793615 . _:b665176917 . _:b665794084 . _:b665795772 . _:b665794092 . _:b665176916 . _:b665794085 . _:b663277737 . _:b665795773 . _:b668716408 . _:b665176915 . _:b665794086 . _:b663277738 . _:b665793612 . _:b668716409 . _:b665176914 . _:b665794087 . _:b668716410 . _:b665176913 . _:b665794072 . _:b668716411 . _:b665176912 . _:b668716412 . _:b665794073 . _:b665177007 . _:b668716413 . _:b668716385 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665794074 . _:b665793648 . _:b665177006 . _:b665794075 . _:b665793655 . _:b665177005 . _:b665794076 . _:b665177004 . _:b665794077 . _:b668716400 . _:b665177003 . _:b665794078 . _:b665857425 . _:b665177002 . _:b665794079 . _:b665857426 . _:b665459536 . _:b665177001 . _:b665177000 . _:b665176999 . _:b665794066 . _:b665176998 . _:b665794067 . _:b665793663 . _:b665176997 . _:b665794068 . _:b663277755 . _:b665793893 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665176996 . _:b665794069 . _:b665970986 . _:b665176995 . _:b665794070 . _:b665458879 . _:b665176994 . _:b665794071 . _:b665176993 . _:b665794056 . _:b665176992 . _:b665794057 . _:b665795532 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665177023 . _:b665794058 . _:b663277757 . _:b665176655 . _:b665177022 . _:b665794059 . _:b663277756 . _:b665177021 . _:b665794060 . _:b665176650 . _:b665176653 . _:b665177020 . _:b665176653 . _:b665857443 . _:b665176650 . _:b665122389 . _:b665177019 . _:b665794062 . _:b663277698 . _:b665177018 . _:b665794063 . _:b665176648 . _:b665177017 . _:b665794048 . _:b665793642 . _:b665177016 . _:b665794049 . _:b665176646 . _:b665177015 . _:b665794050 . _:b665971022 . _:b665177014 . _:b665794051 . _:b665176643 . _:b665857430 . _:b665857445 . _:b665177013 . _:b665794052 . _:b663277704 . _:b665857431 . _:b665857444 . _:b665177012 . _:b665794053 . _:b665857432 . _:b665794061 . _:b665177011 . _:b665794054 . _:b678849841 . _:b665176643 . _:b665177010 . _:b665794055 . _:b665459170 . _:b665177009 . _:b665176646 . _:b665857419 . _:b665177009 . _:b665176641 . _:b665177008 . _:b665176975 . _:b665176664 . _:b665176974 . _:b665176973 . _:b665971015 . _:b665176972 . _:b665176971 . _:b665176970 . _:b665176664 . _:b665176969 . _:b678850139 . _:b665176968 . _:b665176657 . _:b665122129 . _:b665176967 . _:b665176662 . _:b665176966 . _:b665176660 . _:b665176965 . _:b665971036 . _:b665176964 . _:b665176963 . _:b665176660 . _:b665176962 . _:b668378864 . _:b665176961 . _:b665176657 . _:b665176960 . _:b665176991 . _:b665971029 . _:b665176990 . _:b665176994 . _:b665176989 . _:b674016365 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b675160442 . _:b665176988 . _:b675160443 . _:b665176996 . _:b665176987 . _:b668716711 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665176986 . _:b675160441 . _:b665176985 . _:b665176984 . _:b665176983 . _:b665857335 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665176982 . _:b665177002 . _:b665176981 . _:b665176980 . _:b665458968 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665176979 . _:b665795842 . _:b665176978 . _:b665795843 . _:b665176977 . _:b665795840 . _:b665795286 . _:b665793586 . _:b665176976 . _:b665795841 . _:b665177071 . _:b665177070 . _:b678849528 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665177069 . _:b665177068 . _:b665177067 . _:b665177066 . _:b665459294 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665177065 . _:b665177064 . _:b665459320 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665793593 . _:b665177063 . _:b665177062 . _:b665970822 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665177061 . _:b665177060 . _:b665177059 . _:b665177058 . _:b665177057 . _:b665177056 . _:b674348284 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665177087 . _:b665177086 . _:b665177085 . _:b665177084 . _:b665177083 . _:b665177082 . _:b665794112 . _:b665177081 . _:b665793859 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665177080 . _:b665177079 . _:b678850113 . _:b665177078 . _:b665177077 . _:b665176456 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665177076 . _:b665177075 . _:b665177074 . _:b665177073 . _:b665177072 . _:b665177039 . _:b665793744 . _:b665177038 . _:b665793751 . _:b665177037 . _:b665176400 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665971188 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665177036 . _:b665177035 . _:b665177034 . _:b665177033 . _:b665177081 . _:b665177032 . _:b665793753 . _:b668716708 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665177031 . _:b665177030 . _:b665177029 . _:b665793758 . _:b665177028 . _:b666092798 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665177027 . _:b668716433 "requested by Melanie Courtot" . _:b665177026 . _:b665793731 . _:b665177025 . _:b665176415 . _:b665177024 . _:b665176414 . _:b665177055 . _:b665176413 . _:b665177054 . _:b665793735 . _:b665177053 . _:b665177052 . _:b665122562 _:b665122564 . _:b665177051 . _:b665177050 . _:b665458900 . _:b665177049 . _:b665122562 _:b665122563 . _:b665122564 _:b665122565 . _:b665177048 . _:b665177047 . _:b665177046 . _:b665122566 _:b665122567 . _:b665177045 . _:b665177044 . _:b665122571 _:b665122572 . _:b665122569 _:b665122571 . _:b665177043 . _:b665122569 _:b665122570 . _:b665177042 . _:b665793779 . _:b665177041 . _:b665177040 . _:b665793777 . _:b665176639 . _:b665794058 . _:b665793783 . _:b665122573 _:b665122574 . _:b665177133 . _:b665177045 . _:b665176434 . _:b665177132 . _:b665458901 . _:b665459231 . _:b665177131 . _:b665177130 . _:b665176639 . _:b665176433 . _:b665177129 . _:b665176438 . _:b668378975 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665177128 . _:b665176439 . _:b665177127 . _:b665794051 . _:b665177126 . _:b662810070 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665177125 . _:b665793790 . _:b665177124 . _:b665794052 . _:b665177123 . _:b665177122 . _:b665177121 . _:b665176446 . _:b665177120 . _:b665176447 . _:b668378663 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665793760 . _:b665793767 . _:b666092706 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665793765 . _:b665176416 . _:b665176420 . _:b665793699 . _:b665176421 . . _:b662810147 . _:b665793774 . _:b665795403 . _:b665793772 . _:b674348706 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b678850055 . _:b665795163 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b678849874 . _:b678849875 . _:b665177103 . _:b678849872 . _:b678849873 . _:b663276298 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b678849878 . _:b678849879 . _:b665794090 . _:b665177102 . _:b678849876 . _:b678849877 . _:b678849882 . _:b678849883 . _:b665177101 . _:b678849880 . _:b678849881 . _:b678849886 . _:b678849887 . _:b665177100 . _:b678849884 . _:b678849885 . _:b678849858 . _:b665857020 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b678849859 . _:b665177099 . _:b678849856 . _:b678849857 . _:b678849862 . _:b678849863 . _:b665177098 . _:b678849860 . _:b678849861 . _:b678849866 . _:b668716342 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b678849867 . _:b665177097 . _:b678849864 . _:b678849865 . _:b678849870 . _:b678850063 . _:b678849871 . _:b665177096 . _:b678849868 . _:b678849869 . _:b678849906 . _:b678850062 . _:b678849907 . _:b665177095 . _:b678849904 . _:b678849905 . _:b678849910 . _:b678849911 . _:b665177094 . _:b678849908 . _:b678849909 . _:b665793695 . _:b678849914 . _:b678849915 . _:b665177093 . _:b678849912 . _:b678849913 . _:b678849918 . _:b678849919 . _:b665177092 . _:b678849916 . _:b678849917 . _:b678849890 . _:b678849891 . _:b665177091 . _:b678849888 . _:b678849889 . _:b678849894 . _:b678849895 . _:b665177090 . _:b678849892 . _:b678849893 . _:b674348485 . _:b678849898 . _:b678849899 . _:b666093155 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665177089 . _:b678849896 . _:b678849897 . _:b666092793 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b678849902 . _:b678849903 . _:b666093108 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665177088 . _:b678849900 . _:b678849901 . _:b678849810 . _:b678849811 . _:b665177119 . _:b678849808 . _:b678849809 . _:b665795215 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b678849814 . _:b678849815 . _:b665177118 . _:b678849812 . _:b678849813 . _:b678849818 . _:b678849819 . _:b665177117 . _:b678849816 . _:b678849817 . _:b678849822 . _:b678849823 . _:b665177116 . _:b678849820 . _:b678849821 . _:b665793669 . _:b678849794 . _:b678849795 . _:b665177115 . _:b665795619 . _:b678849792 . _:b678849793 . _:b678849798 . _:b665857377 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665177114 . _:b678849799 . _:b678849796 . _:b678849797 . _:b678849802 . _:b665795621 . _:b665177113 . _:b678849803 . _:b665795609 . _:b678849800 . _:b665795611 . _:b678849801 . _:b665793674 . _:b678850060 . _:b678849806 . _:b665795610 . _:b665177112 . _:b678849807 . _:b678849804 . _:b678849805 . _:b678849842 . _:b665795608 . _:b665177111 . _:b678849843 . _:b665795617 . _:b678849840 . _:b678849841 . _:b678849846 . _:b678849847 . _:b665177110 . _:b665795616 . _:b678849844 . _:b665795612 . _:b678849845 . _:b678849850 . _:b678849851 . _:b665177109 . _:b678849848 . _:b678849849 . _:b665795613 . _:b678849854 . _:b665795623 . _:b665795618 . _:b665177108 . _:b678849855 . _:b665795620 . _:b678849852 . _:b678849853 . _:b665795622 . _:b678849826 . _:b678849827 . _:b665177107 . _:b665795605 . _:b678849824 . _:b665970937 . _:b678849825 . _:b678849830 . _:b665795606 . _:b665177106 . _:b678849831 . _:b678849828 . _:b678849829 . _:b678849834 . _:b665177132 . _:b665177105 . _:b678849835 . _:b665795600 . _:b678849832 . _:b665795602 . _:b678849833 . _:b665795604 . _:b678849838 . _:b678849839 . _:b665177104 . _:b665795601 . _:b678849836 . _:b665795603 . _:b678849837 . _:b678850002 . _:b678850003 . _:b678850000 . _:b678850001 . _:b678850006 . _:b665795607 . _:b678850007 . _:b678850004 . _:b678850005 . _:b678850010 . _:b678850011 . _:b678850008 . _:b678850009 . _:b678850014 . _:b678850015 . _:b678850012 . _:b678850013 . _:b678849986 . _:b665122308 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b678849987 . _:b678849984 . _:b668378817 . _:b665795635 . _:b678849985 . _:b665177125 . _:b665795639 . _:b678849990 . _:b678849991 . _:b678849988 . _:b678849989 . _:b678849994 . _:b678849995 . _:b665459034 . _:b678849992 . _:b678849993 . _:b678849998 . _:b678849999 . _:b678849996 . _:b665795596 . _:b678849997 . _:b678850034 . _:b678850035 . _:b678850032 . _:b678850033 . _:b678850038 . _:b665176436 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b678850039 . . _:b678850036 . _:b665795638 . _:b678850037 . _:b678850042 . _:b678850043 . _:b678850040 . _:b678850041 . _:b665795637 . _:b678850046 . _:b665793726 . _:b678850047 . _:b678850044 . _:b665793880 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b678850045 . _:b665795636 . _:b668716285 . _:b678850018 . _:b678850019 . _:b678850016 . _:b678850017 . _:b678850022 . _:b668716284 . _:b678850023 . _:b678850020 . _:b678850021 . _:b678850026 . _:b678850027 . _:b678850024 . _:b678850025 . _:b678850030 . _:b678850031 . _:b678850028 . _:b678850029 . _:b678849938 . _:b678849939 . _:b678849936 . _:b678849937 . _:b678849942 . _:b678849943 . _:b665795589 . _:b678849940 . _:b678849941 . _:b678849946 . _:b665121937 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b678849947 . _:b674016704 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665795590 . _:b678849944 . _:b665795647 . _:b678849945 . _:b678849950 . _:b678849951 . _:b678849948 . _:b665795646 . _:b678849949 . _:b665795640 . _:b678849922 . _:b678849923 . _:b665795641 . _:b678849920 . _:b665795591 . _:b678849921 . _:b678849926 . _:b678849927 . _:b665122522 _:b665122527 . _:b678849924 . _:b678849925 . _:b678849930 . _:b678849931 . _:b678849928 . _:b678849929 . _:b678849934 . _:b678849935 . _:b665795642 . _:b678849932 . _:b678849933 . _:b678849970 . _:b665795588 . _:b674016728 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b678849971 . _:b665795586 . _:b678849968 . _:b678849969 . _:b678849974 . _:b678849975 . _:b665795587 . _:b678849972 . _:b678849973 . _:b678849978 . _:b678849979 . _:b678849976 . _:b678849977 . _:b665795584 . _:b678849982 . _:b665795644 . _:b665795585 . _:b678849983 . _:b665971037 . _:b678849980 . _:b678849981 . _:b665795645 . _:b678849954 . _:b678849955 . _:b665122526 _:b665122523 . _:b678849952 . _:b665122527 _:b665122526 . _:b665795598 . _:b678849953 . _:b678849958 . _:b665795634 . _:b678849959 . _:b678849956 . _:b665122525 _:b665122524 . _:b665795599 . _:b678849957 . _:b678849962 . _:b665795592 . _:b665122526 _:b665122525 . _:b678849963 . _:b665795597 . _:b678849960 . _:b665795632 . _:b678849961 . _:b678849966 . _:b678849967 . _:b678849964 . _:b665795643 . _:b678849965 . _:b678849618 . _:b665795633 . _:b678849619 . _:b665795594 . _:b665795595 . _:b678849616 . _:b678849617 . _:b678849622 . _:b678849623 . _:b678849620 . _:b678849621 . _:b668716285 . _:b678849626 . _:b678849627 . _:b678849624 . _:b665795593 . _:b668716284 . _:b678849625 . _:b678849630 . _:b678849631 . _:b678849628 . _:b678849629 . _:b678849602 . _:b678849603 . _:b678849600 . _:b678849601 . _:b678849606 . _:b678849607 . _:b665795631 . _:b678849604 . _:b665795626 . _:b678849605 . _:b678849610 . _:b678849611 . _:b665795625 . _:b678849608 . _:b678849609 . _:b678849614 . _:b678849615 . _:b678849612 . _:b678849613 . _:b678849650 . _:b678849651 . _:b678849648 . _:b665795630 . _:b678849649 . _:b678849654 . _:b665795624 . _:b678849655 . _:b678849652 . _:b678849653 . _:b678849658 . _:b678849659 . _:b665795629 . _:b678849656 . _:b678849657 . _:b678849662 . _:b678849663 . _:b678849660 . _:b665795628 . _:b678849661 . _:b678849634 . _:b665795627 . _:b678849635 . _:b665177118 . _:b665795701 . _:b678849632 . _:b678849633 . _:b678849638 . _:b678849639 . _:b678849636 . _:b678849637 . _:b678849642 . _:b678849643 . _:b678849527 "per discussion with Barry Smith" . _:b678849640 . _:b665795615 . _:b678849641 . _:b678849646 . _:b678849647 . _:b678849644 . _:b665856974 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665795614 . _:b678849645 . _:b665795393 . _:b678849554 . _:b665970819 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b678849555 . _:b678849552 . _:b678849553 . _:b665971213 . _:b678849558 . _:b678849559 . _:b678849556 . _:b678849557 . _:b665971212 . _:b678849562 . _:b678849563 . _:b678849560 . _:b678849561 . _:b668716723 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b678849566 . _:b678849567 . _:b668716337 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b678849564 . _:b678849565 . _:b678849538 . _:b678849539 . _:b678849536 . _:b678849537 . _:b678849542 . _:b678849543 . _:b678849540 . _:b678849541 . _:b678849546 . _:b665122557 _:b665122558 . _:b678849547 . _:b678849544 . _:b674016684 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b668379204 . _:b678849545 . _:b665177111 . _:b678849550 . _:b678849551 . _:b678849548 . _:b665122555 _:b665122556 . _:b678849549 . _:b678849586 . _:b678849587 . _:b678849584 . _:b678849585 . _:b678849590 . _:b678849591 . _:b665122555 _:b665122557 . _:b678849588 . _:b678849589 . _:b665122552 _:b665122553 . _:b678849594 . _:b678849595 . _:b678849592 . _:b678849593 . _:b665122548 _:b665122549 . _:b678849598 . _:b678849599 . _:b678849596 . _:b678849597 . _:b665122544 _:b665122543 . _:b678849570 . _:b674348524 . _:b678849571 . _:b678849568 . _:b678849569 . _:b678849574 . _:b678849575 . _:b665122550 _:b665122551 . _:b678849572 . _:b665122548 _:b665122550 . _:b678849573 . _:b678849578 . _:b678849579 . _:b678849576 . _:b678849577 . _:b665795442 . _:b678849582 . _:b678849583 . _:b665122546 _:b665122545 . _:b678849580 . _:b675160844 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b678849581 . _:b678849746 . _:b678849747 . _:b678849744 . _:b665122472 . _:b678849745 . _:b665458949 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665176930 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b678849750 . _:b678849751 . _:b678849748 . _:b678849749 . _:b678849754 . _:b665122545 _:b665122544 . _:b678849755 . _:b678849752 . _:b678849753 . _:b665122533 _:b665122541 . _:b678849758 . _:b678849759 . _:b678849756 . _:b678849757 . _:b678849730 . _:b665122537 _:b665122536 . _:b678849731 . _:b678849728 . _:b678849729 . _:b678849734 . _:b678849735 . _:b665122538 _:b665122537 . _:b678849732 . _:b665122539 _:b665122538 . _:b678849733 . _:b665122536 _:b665122535 . _:b665795451 . _:b678849738 . _:b678849739 . _:b678849736 . _:b678849737 . _:b665122540 _:b665122539 . _:b678849742 . _:b665122541 _:b665122540 . _:b678849743 . _:b678849740 . _:b678849741 . _:b665971254 . _:b665795449 . _:b678849778 . _:b678849779 . _:b678849776 . _:b678849777 . _:b678849782 . _:b678849783 . _:b678849780 . _:b678849781 . _:b678849786 . _:b678849787 . _:b665122528 _:b665122531 . _:b678849784 . _:b678849785 . _:b678849790 . _:b678849791 . _:b678849788 . _:b665122531 _:b665122530 . _:b678849789 . _:b678849762 . _:b678849763 . _:b678849760 . _:b678849761 . _:b665176513 . _:b678849766 . _:b678849767 . _:b678849764 . _:b678849765 . _:b665122530 _:b665122529 . _:b678849770 . _:b678849771 . _:b678849768 . _:b665122535 _:b665122534 . _:b678849769 . _:b678849774 . _:b665122542 _:b665122546 . _:b678849775 . _:b678849772 . _:b678849773 . _:b678849682 . _:b678849683 . _:b678849680 . _:b678849681 . _:b665795424 . _:b678849686 . _:b678849687 . _:b678849684 . _:b678849685 . _:b678849690 . _:b678849691 . _:b678849688 . _:b678849689 . _:b678849694 . _:b678849695 . _:b678849692 . _:b678849693 . _:b665795429 . _:b678849666 . _:b678849667 . _:b678849664 . _:b678849665 . _:b678849670 . _:b678849671 . _:b678849668 . _:b678849669 . _:b678849674 . _:b678849675 . _:b678849672 . _:b665122451 _:b665122452 . _:b678849673 . _:b662809630 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b678849678 . _:b678849679 . _:b678849676 . _:b678849677 . _:b665795433 . _:b678849714 . _:b678849715 . _:b678849712 . _:b665122445 _:b665122448 . _:b678849713 . _:b665971294 . _:b678849718 . _:b678849719 . _:b678849716 . _:b665971295 . _:b678849717 . _:b678849722 . _:b678849723 . _:b678849720 . _:b678849721 . _:b678849726 . _:b678849727 . _:b678849724 . . _:b678849725 . _:b678849698 . _:b665971293 . _:b678849699 . _:b678849696 . _:b665122441 _:b665122440 . _:b678849697 . _:b678849702 . _:b665122439 _:b665122442 . _:b678849703 . _:b665122442 _:b665122441 . _:b678849700 . _:b678849701 . _:b678849706 . _:b678849707 . _:b678849704 . _:b678849705 . _:b665795346 . _:b678849710 . _:b678849711 . _:b678849708 . _:b678849709 . _:b665122447 _:b665122446 . _:b665970774 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665122455 _:b665122454 . _:b665176554 . _:b665176552 . _:b665122448 _:b665122447 . _:b665795648 . _:b665176553 . _:b665122454 _:b665122453 . _:b668379032 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . . _:b678850203 _:b678850204 . _:b665795353 . _:b665122438 _:b665122439 . _:b665793435 . _:b665122147 . _:b665176812 . _:b665122463 _:b665122462 . _:b665122461 _:b665122464 . _:b665121846 . _:b665795114 . _:b665122444 _:b665122445 . _:b665122559 _:b665122560 . _:b665122452 _:b665122455 . _:b674016583 "2025-01-25T13:30:29.309971"^^ . _:b678850203 _:b678850208 . _:b678850196 _:b678850201 . _:b675160826 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b678850102 . _:b665176387 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b666092985 . _:b665122473 _:b665122472 . _:b678850196 _:b678850197 . _:b674348686 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665122474 _:b665122471 . _:b665122474 _:b665122473 . _:b665122470 _:b665122474 . _:b678850189 _:b678850190 . _:b665176811 . _:b665122464 _:b665122463 . _:b665122465 _:b665122469 . _:b666093226 . _:b665122365 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665793898 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b668716802 . _:b668378668 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b678850189 _:b678850194 . _:b665122486 _:b665122487 . _:b665176509 . _:b668716805 . _:b665795340 . _:b668716807 . _:b665122469 _:b665122466 . _:b678850182 _:b678850183 . _:b665176471 . _:b668716800 . _:b665122468 _:b665122467 . _:b665793443 . _:b665122469 _:b665122468 . _:b678850182 _:b678850187 . _:b665122494 _:b665122493 . _:b668716803 . _:b665122495 _:b665122492 . _:b665176472 . _:b665122495 _:b665122494 . _:b665459365 . _:b665459352 . _:b668379194 . _:b665459364 . _:b665971250 . _:b678850095 . _:b665459366 . _:b665459367 . _:b665176490 . _:b665459355 . _:b665459363 . _:b665122491 _:b665122495 . _:b665459358 . _:b665459357 . _:b665459354 . _:b665459353 . _:b665177133 . _:b665459359 . _:b668379197 . _:b665459356 . _:b665795361 . _:b665176489 . _:b665122340 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b666093153 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665459369 . _:b665795367 . _:b665176790 . _:b665459371 . _:b665793461 . _:b665459368 . _:b665459350 . _:b665122409 _:b665122410 . _:b665459372 . _:b665459345 . _:b665459370 . _:b665459349 . _:b665459351 . _:b665971227 . _:b665971224 . _:b665122424 _:b665122423 . _:b665122425 _:b665122424 . _:b665176487 . _:b665971226 . _:b665971229 . _:b668716799 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665459338 . _:b674348709 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665122422 _:b665122425 . _:b665176483 . _:b665971212 . _:b665459339 . _:b665971355 . _:b665795843 . _:b665122416 _:b665122415 . _:b665971213 . _:b665795372 . _:b665176485 . _:b665971230 . _:b665971231 . _:b665971245 . _:b674016483 . _:b665971204 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665122418 _:b665122417 . _:b665122419 _:b665122418 . _:b678850130 . _:b665459387 . _:b678850131 . _:b665176486 . _:b678850128 . _:b678850129 . _:b678850134 . _:b665971228 . _:b678850135 . _:b665459386 . _:b678850132 . _:b665971254 . _:b678850133 . _:b665122440 . _:b665122404 _:b665122405 . _:b678850138 . _:b665122417 _:b665122416 . _:b665176488 . _:b678850139 . _:b665459385 . _:b665459389 . _:b678850136 . _:b668379027 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b678850137 . _:b665122411 _:b665122409 . _:b678850142 . _:b665459384 . _:b678850143 . _:b665459388 . _:b678850140 . _:b678850141 . _:b668716354 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b662810260 . _:b678850114 . _:b678850115 . _:b678850112 . _:b678850113 . _:b678850118 . _:b678850119 . _:b678850116 . _:b678850117 . _:b678850122 . _:b678850123 . _:b678850120 . _:b668716654 . _:b678850121 . _:b665122412 _:b665122411 . _:b678850126 . _:b678850127 . _:b668716653 . _:b678850124 . _:b678850125 . _:b665122400 _:b665122399 . _:b678850162 . _:b678850163 . _:b665122403 _:b665122407 . _:b678850160 . _:b665122415 _:b665122414 . _:b678850161 . _:b665459335 . _:b678850166 . _:b678850167 . _:b678850164 . _:b674016315 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665459334 . _:b678850165 . _:b665971246 . _:b678850170 . _:b678849565 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b678850171 . _:b678850168 . _:b665459332 . _:b678850169 . _:b678849726 . _:b678850174 . _:b678850175 . _:b665459333 . _:b678850172 . _:b678850173 . _:b678850146 . _:b678850147 . _:b665459330 . _:b665459328 . _:b678850144 . _:b665971247 . _:b678850145 . _:b678850150 . _:b678850151 . _:b665971248 . _:b665176504 . _:b665459329 . _:b678850148 . _:b665459331 . _:b678850149 . _:b665459391 . _:b665795523 . _:b665971249 . _:b678850154 . _:b665856987 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b678850155 . _:b678850152 . _:b665122407 _:b665122406 . _:b665122408 _:b665122412 . _:b678850153 . _:b665459390 . _:b678850158 . _:b678850159 . _:b678850156 . _:b678850157 . _:b678850066 . _:b678850067 . _:b678850064 . _:b665122406 _:b665122404 . _:b678850065 . _:b665122413 _:b665122419 . _:b665459378 . _:b665795520 . _:b665459379 . _:b665459342 . _:b678850070 . _:b678850071 . _:b678850068 . _:b678850069 . _:b665459380 . _:b665795527 . _:b665459377 . _:b665971202 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b678850074 . _:b678850075 . _:b678850072 . _:b678850073 . _:b678850078 . _:b665122391 _:b665122400 . _:b665176505 . _:b665459340 . _:b678850079 . _:b678850076 . _:b678850077 . _:b665176506 . _:b678850050 . _:b678850051 . _:b678850048 . _:b665176507 . _:b665459376 . _:b665459382 . _:b665459341 . _:b678850049 . _:b665176609 . _:b678850054 . _:b678850055 . _:b665176508 . _:b678850052 . _:b665459383 . _:b678850053 . _:b665459336 . _:b678850058 . _:b678849957 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b678850059 . _:b678850056 . _:b665122385 _:b665122384 . _:b665459337 . _:b665459343 . _:b678850057 . _:b678850062 . _:b665459381 . _:b678850063 . _:b665122386 _:b665122385 . _:b678850060 . _:b678850061 . _:b665459166 . _:b678850098 . _:b678850099 . _:b678850096 . _:b678850097 . _:b678850102 . _:b678850103 . _:b678850100 . _:b665459373 . _:b678850101 . _:b678850106 . _:b665459348 . _:b678850107 . _:b678850104 . _:b665857443 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665122396 _:b665122395 . _:b678850105 . _:b678850110 . _:b665122397 _:b665122396 . _:b678850111 . _:b678850108 . _:b678850109 . _:b678850082 . _:b665459375 . _:b678850083 . _:b678850080 . _:b665122399 _:b665122398 . _:b678850081 . _:b665459346 . _:b665459374 . _:b678850086 . _:b665459347 . _:b678850087 . _:b678850084 . _:b678850085 . _:b678850090 . _:b678850091 . _:b665122398 _:b665122397 . _:b678850088 . _:b678850089 . _:b665459344 . _:b678850094 . _:b678850095 . _:b678850092 . _:b678850093 . _:b665459361 . _:b665122393 _:b665122392 . _:b665459360 . _:b665459362 . _:b665122394 _:b665122393 . _:b665122395 _:b665122394 . _:b678849733 . _:b674016371 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b662809667 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665122383 _:b665122386 . . _:b665856999 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674348379 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . . _:b678850194 . _:b678850195 . _:b678850192 . _:b678850193 . _:b678850198 . _:b678850199 . _:b678850196 . _:b678850197 . _:b678850202 . _:b678850203 . _:b678850200 . _:b678850201 . _:b678850206 . _:b678850207 . _:b678850204 . _:b678850205 . _:b678850178 . _:b678850179 . _:b678850176 . _:b678850177 . _:b678850182 . _:b678850183 . _:b678850180 . _:b678850181 . _:b668716801 . _:b678850186 . _:b678850187 . _:b678850184 . _:b678850185 . _:b668716800 . _:b678850190 . _:b678850191 . _:b678850188 . _:b678850189 . _:b665459392 . _:b665793524 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b668378603 . _:b678850208 . _:b678850209 . _:b666092992 . _:b665795475 . _:b665122103 . _:b665459394 . _:b665795472 . _:b666092999 . _:b665122020 . _:b665459119 . _:b665459393 . _:b665795477 . _:b674016717 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b668716529 . _:b665458940 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665795481 . _:b678849692 . _:b665459395 . _:b666093006 . _:b665459396 . _:b668379037 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665795458 . _:b668716319 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665795456 . _:b665795463 . _:b665459397 . _:b665176613 . _:b665458924 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665459314 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665795465 . _:b665795470 . _:b668378967 . _:b666092776 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665795505 . _:b668378968 . _:b665857337 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665795509 . _:b665793490 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665795515 . _:b674348317 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b668378946 . _:b665971355 . _:b674016833 . _:b662810124 . _:b665122077 . _:b665176577 . _:b665971370 . _:b665971372 . _:b665795488 . _:b674016486 . _:b674016952 . _:b665459334 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665795492 . _:b665795499 . _:b663276371 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665122083 _:b665122086 . _:b665122095 _:b665122094 . _:b678849934 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665122094 _:b665122093 . _:b665122092 _:b665122095 . _:b665795501 . _:b663277858 . _:b665795154 . _:b665122085 _:b665122084 . _:b665122086 _:b665122085 . _:b665971366 . _:b665176466 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665795158 . _:b665122096 _:b665122100 . _:b665971369 . _:b678849588 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665971368 . _:b665971371 . _:b665122101 _:b665122105 . _:b665122104 _:b665122103 . _:b665122105 _:b665122104 . _:b665122105 _:b665122102 . _:b678849485 . _:b665971374 . _:b665122082 _:b665122083 . _:b668379221 . _:b665122100 _:b665122097 . _:b665971375 . _:b665122100 _:b665122099 . _:b665971376 . _:b665857435 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665971377 . _:b674016826 . _:b665795136 . _:b665122099 _:b665122098 . _:b665458941 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665122050 _:b665122049 . _:b675160854 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665795140 . _:b665122069 _:b665122070 . _:b665122049 _:b665122048 . _:b674016820 . . _:b675160405 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665795146 . . . _:b665795151 . _:b665122055 _:b665122054 . _:b665122053 _:b665122056 . _:b665122056 _:b665122055 . _:b665856991 . _:b678850067 . _:b665122075 _:b665122076 . _:b665121945 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665856996 . _:b665856997 . _:b675160471 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b678849489 . _:b665122076 _:b665122079 . _:b665856992 . _:b665459296 . _:b665856993 . _:b665856994 . _:b663276440 . _:b665459292 . _:b665856995 . _:b665122078 _:b665122077 . _:b675160459 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665459291 . _:b665459297 . _:b665122079 _:b665122078 . _:b665971328 . _:b665459289 . _:b665459288 . _:b674016433 . _:b665122072 _:b665122071 . _:b665122073 _:b665122072 . _:b665459285 . _:b665459284 . _:b665122070 _:b665122073 . _:b665459301 . _:b665122172 _:b665122171 . _:b665459286 . _:b665459299 . _:b665459310 . _:b665122175 _:b665122174 . _:b674016348 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665459311 . _:b665459281 . . _:b665459282 . . _:b665122164 _:b665122172 . . _:b674016428 . _:b665122169 _:b665122168 . _:b665459312 . . _:b665459278 . . _:b665459313 . _:b665122170 _:b665122169 . _:b665459315 . _:b665122171 _:b665122170 . _:b665122168 _:b665122167 . _:b665459279 . "David Osumi-Sutherland"@en . _:b665122167 _:b665122166 . _:b665459314 . _:b665122166 _:b665122165 . . _:b674016740 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b674016435 . _:b665459319 . _:b665459318 . _:b665122161 _:b665122160 . _:b665122162 _:b665122161 . _:b665459322 . _:b674016436 . _:b665459323 . _:b665459320 . _:b666093162 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665122335 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b678850111 . _:b665459321 . _:b663277800 . _:b665857008 . _:b668716721 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665856967 . _:b665459326 . _:b665857009 . _:b665856966 . _:b665856965 . _:b665459324 . _:b665176774 . _:b665856964 . _:b674016879 . _:b665459327 . _:b665122157 _:b665122156 . _:b665459325 . _:b665856963 . _:b668716688 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b663277807 . _:b665857013 . _:b665122157 _:b665122154 . _:b665122158 _:b665122157 . _:b665122156 _:b665122155 . _:b665971348 . _:b663277808 . _:b674348911 . _:b665857017 . _:b665122159 _:b665122162 . _:b675160860 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665793901 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665122048 _:b665122047 . _:b665856971 . _:b665122153 _:b665122158 . _:b665856970 . _:b665856969 . _:b665458903 _:b665458902 . _:b665857023 . _:b665856968 . _:b665458904 _:b665458907 . _:b665459316 . _:b665458902 _:b665458901 . _:b665458903 _:b665458897 . _:b665458900 _:b665458899 . _:b665856993 . _:b662810036 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665459317 . _:b665856994 . _:b665458898 _:b665458900 . _:b665795614 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665122390 . _:b665459305 . _:b665795227 . _:b665122117 _:b665122118 . _:b665795231 . _:b663277805 . _:b665459307 . _:b665121939 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b668716729 . _:b665459306 . _:b665459283 . _:b665458891 _:b665458892 . _:b668716728 . _:b665795245 . _:b665458896 _:b665458903 . _:b665459308 . _:b668716731 . _:b665176822 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665795123 . _:b668716730 . _:b665795247 . _:b665458906 _:b665458905 . _:b668716733 . _:b665459287 . _:b665795246 . _:b678849490 . _:b665458880 _:b665458876 . _:b678849491 . _:b668716732 . _:b665459293 . _:b665459300 . _:b665459304 . _:b665795220 . _:b678849488 . _:b678849489 . _:b665177077 . _:b678849494 . _:b665458907 _:b665458906 . _:b678849495 . _:b668716735 . _:b665795221 . _:b678849492 . _:b678849493 . _:b665857006 . _:b678849498 . _:b678849499 . _:b668716734 . _:b665459302 . _:b678849496 . _:b665459295 . _:b678849497 . _:b665458892 _:b665458895 . _:b665857007 . _:b678849502 . _:b665459303 . _:b678849503 . _:b678849500 . _:b678849501 . _:b665971047 . _:b665856976 . _:b678849474 . _:b678849475 . _:b665795251 . _:b678849473 . _:b665856977 . _:b678849478 . _:b665795252 . _:b678849479 . _:b665795250 . _:b665458881 _:b665458880 . _:b665459309 . _:b678849476 . _:b665857009 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665122173 _:b665122177 . _:b678849477 . _:b678849482 . _:b665459298 . _:b665459294 . _:b678849483 . _:b678849480 . _:b678849481 . _:b665795130 . _:b678849486 . _:b678849487 . _:b678849484 . _:b678849485 . _:b665458884 _:b665458883 . _:b678849522 . _:b678849523 . _:b678849520 . _:b665458885 _:b665458884 . _:b678849521 . _:b665856981 . _:b665795253 . _:b665122122 _:b665122126 . _:b678849526 . _:b678849527 . _:b665795248 . _:b665458897 _:b665458898 . _:b678849524 . _:b678849525 . _:b665856982 . _:b678849530 . _:b665795249 . _:b678849531 . _:b678849528 . _:b674016268 . _:b668716430 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b678849529 . _:b665458888 _:b665458887 . _:b678849534 . _:b678849535 . _:b678849532 . _:b675160463 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665458889 _:b665458888 . _:b678849533 . _:b665795254 . _:b678849506 . _:b678849507 . _:b678849504 . _:b678849505 . _:b665795132 . _:b678849510 . _:b678849511 . _:b665458886 _:b665458889 . . _:b678849508 . _:b678849509 . _:b678849514 . _:b678849515 . _:b665458894 _:b665458893 . _:b665458882 _:b665458885 . _:b678849512 . _:b678849513 . _:b665795106 . _:b678849518 . _:b678849519 . _:b678849516 . _:b668716749 . _:b678849517 . _:b665856988 . _:b665458895 _:b665458894 . _:b665122126 _:b665122123 . _:b668716748 . _:b668716654 . _:b665122125 _:b665122124 . _:b668716653 . _:b665122126 _:b665122125 . _:b665122179 _:b665122181 . _:b668716737 . _:b668716736 . _:b665795262 . _:b665795200 . _:b665795202 . _:b665795259 . _:b665795108 . _:b665795203 . _:b665122179 _:b665122180 . _:b665122177 _:b665122176 . _:b665122183 _:b665122184 . _:b665795257 . _:b665795256 . _:b665795201 . _:b665122181 _:b665122182 . _:b665795206 . _:b665856965 . _:b665795112 . _:b665795263 . _:b665459368 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665856966 . _:b665795207 . _:b665795119 . _:b665795204 . _:b665856967 . _:b665795258 . _:b665795205 . _:b665795260 . _:b665795261 . _:b668716653 . _:b674348376 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665122186 _:b665122187 . _:b665795585 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665857066 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665795214 . _:b665795209 . _:b665795215 . _:b665122186 _:b665122188 . _:b665795208 . _:b665795212 . _:b668716654 . _:b665122190 _:b665122191 . _:b665795255 . _:b665795213 . _:b665122188 _:b665122189 . _:b665795210 . _:b665795211 . _:b665122197 _:b665122198 . _:b665795284 . _:b665795240 . _:b665795222 . _:b665795291 . _:b665795241 . _:b665795243 . _:b662809963 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665122193 _:b665122194 . _:b665857394 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665795242 . _:b662809964 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795218 . _:b665795219 . _:b665122195 _:b665122196 . _:b665122193 _:b665122195 . _:b665176354 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b663277885 . _:b665795223 . _:b665795217 . _:b665795244 . _:b665795216 . _:b665795230 . _:b665122204 _:b665122205 . _:b668716777 . _:b665795225 . _:b665795236 . _:b665795233 . _:b668716778 . _:b665795232 . _:b665122200 _:b665122202 . _:b665795234 . _:b668716779 . _:b665795228 . _:b665795229 . _:b668716780 . _:b665795237 . _:b668716781 . _:b665122202 _:b665122203 . _:b665795239 . _:b668716782 . _:b665795226 . _:b665795235 . _:b665122200 _:b665122201 . _:b665795238 . _:b665122239 _:b665122242 . _:b665795224 . _:b668716768 . _:b668716769 . _:b665971324 . _:b665122221 _:b665122220 . _:b665122208 _:b665122207 . _:b665122211 _:b665122214 . _:b665122220 _:b665122219 . _:b665122210 _:b665122209 . _:b665793474 . _:b665122229 _:b665122230 . _:b665793475 . _:b665793472 . _:b665176463 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665793473 . _:b665122213 _:b665122212 . _:b665122222 _:b665122225 . _:b665795313 . _:b665122214 _:b665122213 . _:b665793478 . _:b665122218 _:b665122221 . _:b665793479 . _:b665793476 . _:b665793477 . . _:b665795273 . _:b665793482 . _:b665122263 . _:b665795272 . _:b665122237 _:b665122236 . _:b665793483 . _:b665795275 . _:b665795323 . _:b665122238 _:b665122237 . _:b665793480 . _:b665793481 . _:b665122233 _:b665122229 . _:b665122228 _:b665122234 . _:b665793486 . _:b665122234 _:b665122233 . _:b665793487 . _:b665122232 _:b665122231 . _:b665793484 . _:b665795276 . _:b665793485 . _:b665793490 . _:b665122321 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665122224 _:b665122223 . _:b665793491 . . _:b668716726 . _:b665122235 _:b665122238 . _:b665122230 _:b665122232 . _:b665793488 . _:b665795274 . _:b665795264 . _:b665793489 . _:b665122176 _:b665122175 . _:b668716720 . _:b665795265 . _:b665793494 . _:b674016529 . _:b665793495 . _:b674016528 . _:b665122225 _:b665122224 . _:b665793492 . _:b665458876 _:b665458877 . _:b665793493 . _:b665458857 _:b665458856 . _:b665122256 _:b665122255 . _:b665793498 . _:b665122260 _:b665122259 . _:b668716733 . _:b665795267 . _:b665795271 . _:b665795279 . _:b665793499 . _:b665795266 . _:b665795270 . _:b665122256 _:b665122250 . _:b665458875 _:b665458881 . _:b665793496 . _:b665458861 _:b665458860 . _:b665793497 . _:b665795305 . _:b665176650 . _:b665793502 . _:b665122259 _:b665122258 . _:b665793503 . _:b665458860 _:b665458859 . _:b665122244 _:b665122245 . _:b674016779 . _:b665793500 . _:b665795269 . _:b665795310 . _:b665793501 . _:b665795268 . _:b665793506 . _:b665122250 _:b665122251 . _:b665793507 . _:b678849558 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665122257 _:b665122260 . _:b674016535 . _:b665458855 _:b665458854 . _:b665793504 . _:b665793505 . _:b665458858 _:b665458861 . _:b665793510 . _:b665795277 . _:b665793511 . _:b668716712 . _:b668716427 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665793508 . _:b668716713 . _:b665122241 _:b665122240 . _:b665176643 . _:b665458877 _:b665458879 . _:b665122242 _:b665122241 . _:b665793509 . _:b668716710 . _:b665795278 . _:b668716714 . _:b665458879 _:b665458878 . _:b665793514 . _:b668716711 . _:b665122249 _:b665122256 . _:b665458865 _:b665458868 . _:b665793515 . _:b668716708 . _:b665458869 _:b665458872 . _:b665793512 . _:b668716709 . _:b665793513 . _:b665793518 . _:b668716719 . _:b665458872 _:b665458871 . _:b665793519 . _:b665459338 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665122247 _:b665122246 . _:b665176664 . _:b665793516 . _:b665122245 _:b665122248 . _:b668716715 . _:b665793517 . _:b668716692 . _:b665458868 _:b665458867 . _:b665793522 . _:b668716396 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b668716691 . _:b665793523 . _:b674016594 . _:b665458871 _:b665458870 . _:b665122248 _:b665122247 . _:b668716688 . _:b665122251 _:b665122253 . _:b665793520 . _:b665122253 _:b665122252 . _:b665793521 . _:b665122255 _:b665122254 . _:b668716995 . _:b665793526 . _:b678849776 . _:b665458867 _:b665458866 . _:b665176657 . _:b668716689 . _:b662809891 . . _:b665793527 . _:b665793524 . _:b678849897 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665793525 . _:b674348775 . _:b665793530 . _:b665793531 . _:b678849599 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665793528 . _:b668716703 . _:b665793529 . _:b668716702 . _:b665793534 . _:b665793535 . _:b665793532 . _:b668716701 . _:b665793533 . _:b674016869 . _:b665793410 . _:b665793411 . _:b668379092 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665793408 . _:b663277846 . _:b665793409 . _:b663276390 . _:b665793414 . _:b678849754 . _:b665793415 . _:b665793412 . _:b665793413 . _:b665793418 . _:b678850144 . _:b665793419 . _:b665793416 . _:b665857375 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665793417 . _:b665793422 . _:b665793423 . _:b678849745 . _:b665793420 . _:b665793421 . _:b678849751 . _:b665793426 . _:b678849873 . _:b665793427 . _:b665793424 . _:b678849748 . _:b665793425 . _:b668716790 . _:b665459199 _:b665459200 . _:b665793430 . _:b666093312 . _:b665793431 . _:b665793428 . _:b665793429 . _:b668378658 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b675160799 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665793434 . _:b665793435 . _:b665793432 . _:b678849654 . _:b678849883 . _:b665793433 . _:b665177030 . _:b668716792 . _:b665793438 . _:b665793439 . _:b665793436 . _:b668716795 . _:b665793437 . _:b668716772 . _:b678850095 . _:b665121839 . _:b665793442 . _:b665121838 . _:b665793443 . _:b665795384 . _:b665793440 . _:b668716775 . _:b665795385 . _:b665793441 . _:b668716768 . _:b665795386 . _:b665793446 . _:b665795387 . _:b665793447 . _:b668716770 . _:b665795388 . _:b665793444 . _:b665795389 . _:b665793445 . _:b665793450 . _:b668716781 . _:b665795391 . _:b665793451 . _:b665795376 . _:b665793448 . _:b668716783 . _:b665795377 . _:b665793449 . _:b665795378 . _:b665793454 . _:b665795379 . _:b665793455 . _:b665121888 _:b665121891 . _:b665795380 . _:b665793420 . _:b665793452 . _:b665795381 . _:b665121891 _:b665121890 . _:b665793453 . _:b665121855 . _:b665795382 . _:b665793458 . _:b665122071 . _:b668716757 . _:b668716755 . _:b665795390 . _:b665121854 . _:b665795383 . _:b665793459 . _:b665121890 _:b665121889 . _:b665121853 . _:b662810013 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665793456 . _:b665795360 . _:b668716759 . _:b665121852 . _:b665793457 . _:b665121851 . _:b665795370 . _:b665793462 . _:b665121850 . _:b665795371 . _:b665793463 . _:b665121849 . _:b678850102 . _:b665793460 . _:b665121879 _:b665121878 . _:b665795364 . _:b665121848 . _:b665121880 _:b665121887 . _:b665793461 . _:b665459071 _:b665459070 . _:b665121847 . _:b665459051 _:b665459052 . _:b665795374 . _:b665793466 . _:b665795183 . _:b668716763 . _:b665121878 _:b665121877 . _:b665121846 . _:b665176904 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b662809998 . _:b665121872 _:b665121871 . _:b665795375 . _:b665793467 . _:b668716766 . _:b665795164 . _:b665121845 . _:b665795169 . _:b662809999 . _:b665793464 . _:b665795181 . _:b665795175 . _:b665459060 _:b665459066 . _:b665121844 . _:b665795167 . _:b665459065 _:b665459064 . _:b665793465 . _:b665795369 . _:b665121843 . _:b665795166 . _:b665793470 . _:b665857025 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665795161 . _:b674016761 . _:b668716761 . _:b665459066 _:b665459065 . _:b665121842 . _:b665795163 . _:b665459064 _:b665459063 . _:b665793471 . _:b665121860 _:b665121861 . _:b668716764 . _:b665121841 . _:b665121873 _:b665121872 . _:b665459063 _:b665459062 . _:b665793468 . _:b665121884 _:b665121883 . _:b665121887 _:b665121881 . _:b665121886 _:b665121885 . _:b665121840 . _:b668716988 . _:b665795160 . _:b665793469 . _:b665795365 . _:b665459062 _:b665459061 . _:b668716740 . _:b665795366 . _:b665121887 _:b665121886 . _:b665795176 . _:b665795352 . _:b665795178 . _:b665795344 . _:b665459059 _:b665459058 . _:b665121856 _:b665121855 . _:b665459058 _:b665459056 . _:b665121882 _:b665121884 . _:b665795177 . _:b674016827 . _:b665121876 _:b665121879 . _:b665795355 . _:b668716981 . _:b665795356 . _:b665795179 . _:b665795357 . _:b668716748 . _:b665795358 . _:b665970833 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665795359 . _:b665795351 . _:b668716750 . _:b668716576 . _:b665793424 . _:b665121875 _:b665121876 . _:b665121863 _:b665121862 . _:b665459040 _:b665459039 . _:b665795345 . _:b665458944 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665121870 _:b665121873 . _:b668716744 . . _:b665459053 _:b665459051 . _:b665121866 _:b665121869 . _:b665459054 _:b665459053 . _:b665121861 _:b665121863 . _:b665795348 . _:b665121864 _:b665121860 . _:b665459042 _:b665459041 . _:b665459043 _:b665459042 . _:b665795349 . _:b665857074 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665121865 _:b665121864 . _:b665795193 . _:b666093145 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665795350 . _:b665970670 . _:b663276263 . _:b668716974 . _:b665459041 _:b665459040 . _:b665459047 _:b665459046 . _:b663276270 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665970671 . _:b665795336 . _:b665459055 _:b665459059 . _:b665795194 . _:b665121869 _:b665121868 . _:b665795192 . _:b665795337 . _:b665459046 _:b665459045 . _:b665795195 . _:b665121881 _:b665121882 . _:b665970669 . _:b665459044 _:b665459043 . _:b665459056 _:b665459057 . _:b665177033 . _:b665459050 _:b665459054 . _:b665459045 _:b665459044 . _:b665121859 _:b665121865 . _:b665970674 . _:b665795196 . _:b665795339 . _:b665970675 . _:b665121868 _:b665121867 . _:b665970672 . _:b665970673 . _:b665795197 . _:b665795342 . _:b665121853 _:b665121856 . _:b665970678 . _:b665795343 . _:b665970679 . _:b665795328 . _:b665795186 . _:b665970676 . _:b665795329 . _:b665970677 . _:b665795330 . _:b665121839 _:b665121838 . _:b665795338 . _:b665970682 . _:b674016835 . _:b665795331 . _:b665795210 . _:b665970683 . _:b665459038 _:b665459047 . _:b665795332 . _:b678850061 . _:b665795211 . _:b665795198 . _:b665970680 . _:b665795333 . _:b665795199 . _:b665970681 . _:b665121903 . _:b665795191 . _:b665795334 . _:b665121902 . _:b665970686 . _:b674016869 . _:b665795335 . _:b668378599 . _:b665121901 . _:b665970687 . _:b665459032 _:b665459031 . _:b665795187 . _:b665970684 . _:b665121900 . _:b665459033 _:b665459032 . _:b665121899 . _:b665970685 . _:b665795184 . _:b665121898 . _:b665795189 . _:b668716626 . _:b665459030 _:b665459033 . _:b665795185 . _:b665121897 . _:b665795188 . _:b665121852 _:b665121851 . _:b675160430 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665121842 _:b665121845 . _:b665121896 . _:b665795190 . _:b665121855 _:b665121854 . _:b665459069 _:b665459072 . _:b665121895 . _:b665795180 . _:b665795441 . _:b665121894 . _:b668378972 . _:b665121893 . _:b665795182 . _:b665121851 _:b665121850 . _:b665121892 . _:b665121891 . _:b668716619 . _:b665121890 . _:b665121889 . _:b665121888 . _:b668716939 . _:b665121849 _:b665121852 . _:b668378598 . _:b665121919 . _:b665121844 _:b665121843 . _:b663277814 . _:b665121845 _:b665121844 . _:b665121918 . _:b665795174 . _:b665121917 . _:b663277755 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b678849927 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665795173 . _:b665121916 . _:b665121915 . _:b663277702 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665121914 . _:b665795427 . _:b665121841 _:b665121840 . _:b665121913 . _:b665795168 . _:b665795165 . _:b678849497 . _:b668378723 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665121912 . _:b668716612 . _:b665795171 . _:b665795170 . _:b665121911 . _:b665121910 . _:b665121909 . _:b665459091 _:b665459092 . _:b665121908 . _:b665459086 _:b665459089 . _:b665121907 . _:b674348310 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665121906 . _:b665121905 . _:b665795428 . _:b668378577 . _:b665121904 . _:b665121871 . _:b665122446 . _:b665121870 . _:b668378693 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665795431 . _:b665795432 . _:b665121869 . _:b665795416 . _:b678849968 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665121868 . _:b665795417 . _:b665121867 . _:b665177109 . _:b665795418 . _:b665459098 _:b665459099 . _:b668716679 . _:b665121866 . _:b665795419 . _:b678849518 . _:b665121865 . _:b665459095 _:b665459094 . _:b665795420 . _:b665121864 . _:b674016457 . _:b665121863 . _:b665459094 _:b665459093 . _:b665795422 . _:b665459088 _:b665459087 . _:b665122306 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b678849732 . _:b665121862 . _:b665795423 . _:b665459099 _:b665459102 . _:b665121861 . . _:b666093183 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665795408 . _:b665121860 . _:b665795409 . _:b665121859 . _:b678849737 . _:b665795410 . _:b665121858 . _:b674016451 . _:b665795411 . _:b678849509 . _:b665459089 _:b665459088 . _:b665121857 . _:b665795412 . _:b665121856 . _:b665795413 . _:b665795421 . _:b665121887 . _:b665795414 . _:b665121886 . _:b665459101 _:b665459100 . _:b665795415 . _:b665459102 _:b665459101 . _:b665121885 . _:b665795400 . _:b665459085 _:b665459086 . _:b665793498 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665121884 . _:b665795401 . _:b665121883 . _:b665795402 . _:b665459092 _:b665459095 . _:b665121882 . _:b665795403 . _:b665459137 . _:b665121881 . _:b665795404 . _:b665459133 _:b665459134 . _:b665459115 _:b665459114 . _:b674016319 . _:b665121880 . _:b665795405 . _:b665121879 . _:b665459108 _:b665459111 . _:b665795406 . _:b678849512 . _:b665176462 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b674016443 . _:b665121878 . _:b665795407 . _:b668378637 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b668716673 . _:b665121877 . _:b665459116 _:b665459115 . _:b665795392 . _:b665121876 . _:b674016539 . _:b665121875 . _:b674348305 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b662809755 . _:b665121874 . _:b665459116 _:b665459113 . _:b665795395 . _:b665121873 . _:b674016464 . _:b665795396 . _:b665121872 . _:b665795397 . _:b665122014 _:b665122017 . _:b665121967 . _:b665795398 . _:b665121966 . _:b665795399 . _:b665121965 . _:b668716721 . _:b665459112 _:b665459116 . _:b665459111 _:b665459110 . _:b665795512 . _:b665121964 . _:b668716722 . _:b665459110 _:b665459109 . _:b665121963 . _:b665459117 _:b665459121 . _:b665795514 . _:b665121962 . _:b665795507 . _:b665121961 . _:b665176304 . _:b665121960 . _:b665121916 . _:b665121959 . _:b665121917 . _:b665795518 . _:b665121958 . _:b665121918 . _:b665121957 . _:b665121919 . _:b665795504 . _:b665121956 . _:b665121912 . _:b668379045 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665795513 . _:b665121955 . _:b665121913 . _:b665971406 . _:b665121954 . _:b665121914 . _:b665121953 . _:b665121915 . _:b665795508 . _:b665121952 . _:b668716734 . _:b665121908 . _:b665795517 . _:b665121983 . _:b668716735 . _:b665121909 . _:b665459120 _:b665459119 . _:b665121982 . _:b668716704 . _:b668716695 . _:b665121910 . _:b678849911 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665795511 . _:b665459121 _:b665459118 . _:b665795519 . _:b665121981 . _:b668716705 . _:b668716694 . _:b665121911 . _:b665121980 . _:b668716693 . _:b665459072 _:b665459071 . _:b665795497 . _:b665121979 . _:b668716692 . _:b665121905 . _:b674016898 . _:b665795490 . _:b665121978 . _:b668716691 . _:b665121906 . _:b665459121 _:b665459120 . _:b665795491 . _:b665121977 . _:b668716709 . _:b665121907 . _:b665122034 _:b665122038 . _:b668716710 . _:b665121900 . _:b665121976 . _:b665121975 . _:b665121901 . _:b665122047 _:b665122046 . _:b665121974 . _:b665121902 . _:b665795549 . _:b665121973 . _:b665121903 . _:b665122046 _:b665122045 . _:b665795496 . _:b665121972 . _:b665121896 . _:b665122042 _:b665122040 . _:b665795551 . _:b675160840 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665121897 . _:b665121971 . _:b674016906 . _:b665795498 . _:b665121970 . _:b668716716 . _:b668716699 . _:b665121898 . _:b665122039 _:b665122043 . _:b665122043 _:b665122042 . _:b665121969 . _:b668716698 . _:b665121899 . _:b668716605 . _:b665121968 . _:b668716697 . _:b665121892 . _:b665122037 _:b665122035 . _:b665176326 . _:b665121935 . _:b668716696 . _:b665121893 . _:b665122038 _:b665122037 . _:b665795540 . _:b665121934 . _:b665970880 . _:b665795503 . _:b665795543 . _:b665121895 . _:b665121933 . _:b665795542 . _:b665857343 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b666092761 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665121932 . _:b665795562 . _:b665795563 . _:b665121931 . _:b665795561 . _:b665795565 . _:b665795536 . _:b665795564 . _:b665121930 . _:b665795566 . _:b665795537 . _:b665121929 . _:b668716693 . _:b665795539 . _:b668716694 . _:b665121928 . _:b665795552 . _:b665122025 _:b665122024 . _:b668716695 . _:b665121927 . _:b662809720 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665122022 _:b665122031 . _:b665795570 . _:b665121926 . _:b665795533 . _:b665122026 _:b665122025 . _:b665122027 _:b665122026 . _:b665795571 . _:b665795569 . _:b665122024 _:b665122023 . _:b665795479 . _:b665121925 . _:b665122040 _:b665122041 . _:b675160485 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665795480 . _:b665122028 _:b665122027 . _:b665122029 _:b665122028 . _:b665459141 _:b665459140 . _:b665121924 . _:b665795535 . _:b665459142 _:b665459141 . _:b665458909 . _:b665121923 . _:b665795532 . _:b665122031 _:b665122030 . _:b665458911 . _:b665121922 . _:b665122016 _:b665122015 . _:b665795575 . _:b665458913 . _:b665459142 _:b665459139 . _:b665121921 . _:b665122030 _:b665122029 . _:b665795574 . _:b665795529 . _:b665458908 . _:b665121920 . _:b665795530 . _:b665795573 . _:b665121951 . _:b665795572 . _:b663277727 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665795486 . _:b665795580 . _:b665121950 . _:b665795582 . _:b665458917 . _:b665795487 . _:b665122017 _:b665122016 . _:b665121949 . _:b665795583 . _:b665122035 _:b665122036 . _:b665459138 _:b665459142 . _:b665795578 . _:b665795576 . _:b665121948 . _:b665795577 . _:b665795581 . _:b665121947 . _:b665458925 . _:b665121946 . _:b665121945 . _:b663276341 . _:b665458927 . _:b665121944 . _:b663276336 . _:b665795579 . _:b665121943 . _:b665458924 . _:b663276337 . _:b663276343 . _:b665970885 . _:b665121942 . _:b665459197 _:b665459198 . _:b665458926 . _:b665121941 . _:b665458923 . _:b665122475 . _:b665121940 . _:b665459195 _:b665459196 . _:b665459189 _:b665459193 . _:b665459193 _:b665459192 . _:b665121939 . _:b663276339 . _:b665459195 _:b665459197 . _:b665121938 . _:b663276348 . _:b665459192 _:b665459191 . _:b665970791 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665121937 . _:b665459191 _:b665459190 . _:b665121936 . _:b665459184 _:b665459183 . _:b665122031 . _:b678849725 . _:b665459188 _:b665459187 . _:b663277724 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665795568 . _:b668716784 . _:b665122030 . . _:b665122029 . _:b668716785 . _:b663276345 . _:b665459186 _:b665459185 . _:b665122028 . _:b665459187 _:b665459186 . _:b665122027 . _:b665121857 . _:b665122026 . _:b665121858 . _:b665459185 _:b665459184 . _:b665122025 . _:b665857573 . _:b665122024 . _:b665121980 . _:b665795534 . _:b665459340 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665458941 . _:b665459127 . _:b665458931 . _:b665459177 _:b665459176 . _:b665121981 . _:b665122023 . _:b665459175 _:b665459178 . _:b665459178 _:b665459177 . _:b665122022 . _:b665121982 . _:b665122044 _:b665122050 . _:b665795550 . _:b665458929 . _:b665121983 . _:b665122021 . _:b665458942 . _:b663276321 . _:b665458940 . _:b665459130 . _:b668716670 . _:b665122020 . _:b665121976 . _:b665795538 . _:b665458943 . _:b674016619 . _:b665795555 . _:b665459183 _:b665459182 . _:b665121977 . _:b665122019 . _:b663276323 . _:b665458937 . _:b665122018 . _:b665121978 . _:b663276332 . _:b665458936 . _:b665459169 _:b665459174 . _:b665459182 _:b665459181 . _:b665122017 . _:b663277760 . _:b665121979 . _:b665970926 . _:b665122021 . _:b665970924 . _:b665121972 . _:b665122016 . _:b665458938 . _:b663276334 . _:b663276328 . _:b665970925 . _:b665795567 . _:b665121973 . _:b665122047 . _:b665122046 . _:b665121974 . _:b665795560 . _:b665795545 . _:b665122045 . _:b665121975 . _:b665795548 . _:b665458934 . _:b665459173 _:b665459170 . _:b665122044 . _:b665121968 . _:b663276330 . _:b674016611 . _:b665795547 . _:b665459174 _:b665459173 . _:b665459172 _:b665459171 . _:b665122043 . _:b665121969 . _:b665458932 . _:b665459173 _:b665459172 . _:b665176376 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665458933 . _:b665459180 _:b665459188 . _:b665121970 . _:b665122042 . _:b665795557 . _:b668716789 . _:b665795544 . _:b665459415 _:b665459414 . _:b665121971 . _:b665122041 . _:b665795553 . _:b665795556 . _:b665795554 . _:b668716790 . _:b665795559 . _:b665121964 . _:b665122040 . _:b665458939 . _:b665459414 _:b665459413 . _:b668716791 . _:b665458928 . _:b665121965 . _:b665122039 . _:b665795558 . _:b665459412 _:b665459411 . _:b665795546 . _:b665459413 _:b665459412 . _:b665122038 . _:b665121966 . _:b668716658 . _:b674016510 . _:b665122037 . _:b665121967 . _:b665458930 . _:b665458935 . _:b665459410 _:b665459409 . _:b665122036 . _:b668716778 . _:b665459411 _:b665459410 . _:b665121960 . _:b663276306 . _:b674348357 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665122035 . _:b665121961 . _:b665176513 . _:b665122034 . _:b665121962 . _:b674016637 . _:b665122033 . _:b665121963 . _:b663276317 . _:b665122032 . _:b665121956 . _:b665459423 _:b665459421 . _:b665459408 _:b665459417 . _:b678849540 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665121999 . _:b665121957 . _:b665458922 . _:b665970881 . _:b665121998 . _:b674348542 . _:b665459420 _:b665459424 . _:b665121958 . _:b665121997 . _:b665121959 . _:b665458921 . _:b663276313 . _:b663277599 . _:b665121996 . _:b665121952 . _:b665459417 _:b665459416 . _:b665177095 . _:b665121995 . _:b665121953 . _:b665177093 . _:b665121994 . _:b665121954 . _:b665459416 _:b665459415 . _:b665458916 . _:b665121993 . _:b665121955 . _:b663276293 . _:b665177096 . _:b665458919 . _:b665121992 . _:b665121948 . _:b665458918 . _:b665121991 . _:b665177098 . _:b665121949 . _:b678849930 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665458919 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665121990 . _:b665121950 . _:b665458912 . _:b663276288 . _:b665121989 . _:b665121951 . _:b665458915 . _:b665121988 . _:b665177101 . _:b665121944 . _:b663276292 . _:b665458914 . _:b665970843 . _:b665459400 _:b665459403 . _:b668716719 . _:b665177102 . _:b665121987 . _:b665121945 . _:b665177103 . _:b665121986 . _:b665121946 . _:b665177104 . _:b665121985 . _:b665121947 . _:b665459421 _:b665459422 . _:b665121984 . _:b665121940 . _:b665459402 _:b665459401 . _:b665795541 . _:b665970844 . _:b674016320 . _:b665122015 . _:b665121941 . _:b668716724 . _:b665122014 . _:b668716736 . _:b665970862 . _:b665459403 _:b665459402 . _:b665121942 . _:b668716725 . _:b678849767 . _:b665122013 . _:b668716737 . _:b665121943 . _:b665122012 . _:b665121936 . _:b668378659 . _:b665122011 . _:b665970859 . _:b665121937 . _:b663276299 . _:b668378658 . _:b665970861 . _:b668716720 . _:b665122010 . _:b665121938 . _:b668378661 . _:b665795531 . _:b668716721 . _:b665122009 . _:b668716741 . _:b665970835 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665121939 . _:b668378660 . _:b665459592 . _:b668716722 . _:b665122008 . _:b665121932 . _:b665795525 . _:b668716723 . _:b665122007 . _:b665121933 . _:b665122006 . _:b665121934 . _:b662809594 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668716745 . _:b665121935 . _:b665122005 . _:b662809595 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665121928 . _:b665122004 . _:b665122003 . _:b665121929 . _:b665795522 . _:b665122002 . _:b668716320 . _:b665121930 . _:b665122001 . _:b665121931 . _:b663277603 . _:b665459426 _:b665459427 . _:b665122000 . _:b674016952 "2025-01-25T13:30:30.508470"^^ . _:b665121924 . _:b665122095 . _:b668716751 . _:b665121925 . _:b665795526 . _:b665122094 . _:b665121926 . _:b665856992 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665122093 . _:b665459441 _:b665459440 . _:b665121927 . _:b665795128 . _:b665459442 _:b665459441 . _:b665122092 . _:b668716339 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665121920 . _:b665795121 . _:b665122091 . _:b666092784 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665121921 . _:b665795122 . _:b668716766 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665122090 . _:b665121922 . _:b665176472 . _:b665122089 . _:b665121923 . _:b665970855 . _:b663277712 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665122088 . _:b674016289 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665459433 _:b665459432 . _:b665122087 . _:b665459430 _:b665459436 . _:b665459434 _:b665459433 . _:b665122086 . _:b665459435 _:b665459434 . _:b665459432 _:b665459431 . _:b665970857 . _:b665795135 . _:b665795127 . _:b665122085 . _:b665459436 _:b665459435 . _:b665122084 . _:b665459424 _:b665459423 . _:b665795129 . _:b665122083 . _:b665970858 . _:b665122082 . _:b665459425 _:b665459429 . _:b665970860 . _:b665121996 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665122081 . _:b665177097 . _:b665176471 . _:b665122080 . _:b665122111 . _:b665795134 . _:b665122110 . _:b668716803 . _:b665970876 . _:b665122109 . _:b668716802 . _:b665459439 _:b665459442 . _:b665177099 . _:b665122108 . _:b665459428 _:b665459426 . _:b663277740 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665122107 . _:b665459429 _:b665459428 . _:b674016497 . _:b665122106 . _:b665122105 . _:b663276373 . _:b662810089 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665122104 . _:b665121894 . _:b665122103 . _:b668716804 . _:b665795110 . _:b665122102 . _:b663276368 . _:b665795111 . _:b665122101 . _:b663276375 . _:b665122100 . _:b665122099 . _:b668378676 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665122098 . _:b663276380 . _:b665122097 . _:b665970877 . _:b665122096 . _:b662809626 . _:b665970878 . _:b665795117 . _:b665122063 . _:b665970879 . _:b665795118 . _:b674016485 . _:b665122062 . _:b665971008 . _:b663276376 . _:b665122061 . . _:b665459455 _:b665459456 . _:b665122060 . _:b663276378 . _:b665122059 . _:b665122058 . _:b663276356 . _:b665122057 . _:b665122056 . _:b665122055 . _:b665122054 . _:b665122053 . _:b665122052 . _:b665122008 . _:b663276354 . _:b665122051 . _:b665122009 . _:b674016489 . _:b665795540 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665122010 . _:b665122050 . _:b665122049 . _:b665122011 . _:b663276365 . _:b663276363 . _:b665122048 . _:b665122004 . _:b665122079 . _:b665122005 . _:b665795657 . _:b665122078 . _:b665122006 . _:b668379039 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665122077 . _:b665122007 . _:b665122076 . _:b665122000 . _:b665122075 . _:b665122001 . _:b674016866 . _:b674348337 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665122074 . _:b665122002 . _:b665122073 . _:b665122003 . _:b665122072 . _:b665121996 . _:b665122071 . _:b668716319 . _:b665121997 . _:b663276301 . _:b674016413 . _:b665122070 . _:b665121998 . _:b665122069 . _:b665121999 . _:b663276303 . _:b665122068 . _:b665121992 . _:b663276302 . _:b665122067 . _:b665121993 . _:b665122066 . _:b665121994 . _:b665122065 . _:b665121995 . _:b665122064 . _:b665121988 . _:b665857250 . _:b665122159 . _:b665121989 . _:b665122158 . _:b665121990 . _:b668716765 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665122157 . _:b665121991 . _:b665122156 . _:b665121984 . _:b665122155 . _:b665121985 . _:b665793451 . _:b675160848 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665122154 . _:b665121986 . _:b665122153 . _:b665121987 . _:b665122152 . _:b665122532 . _:b665795580 . _:b665122151 . _:b665122150 . _:b665122149 . _:b665122529 . _:b668379006 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665122148 . _:b665122147 . _:b663276305 . _:b665122146 . _:b674348360 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b674016215 . _:b663276304 . _:b674016392 . _:b665122145 . _:b665795579 . _:b663276307 . _:b665122144 . _:b663276306 . _:b665122175 . _:b663276309 . _:b665122174 . _:b663276308 . _:b665122173 . _:b665122172 . _:b675160798 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b663276310 . _:b665122171 . _:b678850123 . _:b674016342 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665122170 . _:b665122169 . _:b665122168 . _:b678850120 . _:b665459310 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665122167 . _:b665122166 . _:b665122165 . _:b674016218 . _:b665122164 . _:b666092814 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665122163 . _:b665122162 . _:b663276321 . _:b678850114 . _:b665122161 . _:b665795172 . _:b665122160 . _:b665176352 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665122127 . _:b663276322 . _:b665122126 . _:b674016855 . _:b665122125 . _:b665971001 . _:b678850117 . _:b665122124 . _:b662809644 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b674016853 . _:b665122123 . _:b665795162 . _:b665122122 . _:b678850145 . _:b665122121 . _:b665971003 . _:b665795156 . _:b665122120 . _:b665122119 . _:b665122118 . _:b674348406 . _:b665793881 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665122117 . _:b665122116 . _:b665795153 . _:b663276350 . _:b665122115 . _:b663276351 . _:b665122114 . _:b665857368 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665122113 . _:b678849775 . _:b674016856 . _:b665122112 . _:b665177055 . _:b665795157 . _:b665122143 . _:b674016500 . _:b665122142 . _:b665122141 . _:b663276341 . _:b665795219 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665122140 . _:b663276342 . _:b665795145 . _:b665122139 . _:b665795138 . _:b665122138 . _:b678849742 . _:b665122137 . _:b665459267 _:b665459268 . _:b665122136 . _:b665795149 . _:b665122329 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665795171 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665122135 . _:b665122134 . _:b665122133 . _:b663277663 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665795144 . _:b665122132 . _:b665122131 . _:b665122130 . _:b665795139 . _:b663276352 . _:b665122129 . _:b663276353 . _:b665176306 . _:b665795148 . _:b663276354 . _:b665122128 . _:b663276355 . _:b665122223 . _:b665795142 . _:b665795150 . _:b665122222 . _:b665795143 . _:b665122221 . _:b665122220 . _:b668379027 . _:b666092943 . _:b665122219 . _:b665459264 _:b665459263 . _:b665122218 . _:b668379029 . _:b665122217 . _:b668379028 . _:b665122216 . _:b665122215 . _:b665459311 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b668379030 . _:b665122214 . _:b665459265 _:b665459264 . _:b665122213 . _:b678850023 . _:b665458964 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b675160457 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665122212 . _:b665459270 _:b665459269 . _:b665122211 . _:b665459268 _:b665459270 . _:b665459274 _:b665459277 . _:b665122210 . _:b665122209 . _:b665459272 _:b665459271 . _:b665459273 _:b665459267 . _:b665122208 . _:b665459273 _:b665459272 . _:b665122239 . _:b665122238 . _:b665122237 . _:b663276374 . _:b668716804 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665459277 _:b665459276 . _:b674016253 _:b674016256 . _:b665459319 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665122236 . _:b665971037 . _:b663276373 . _:b665122235 . _:b665122234 . _:b665459266 _:b665459273 . _:b665459276 _:b665459275 . _:b665122233 . _:b665459261 _:b665459262 . _:b665459247 _:b665459249 . _:b665122232 . . _:b665970999 . _:b665459262 _:b665459265 . _:b665122231 . _:b674016658 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665459241 _:b665459240 . _:b665970997 . _:b665459239 _:b665459242 . _:b665459242 _:b665459241 . _:b665122230 . _:b674016248 . _:b665122229 . _:b665971000 . _:b665122228 . _:b665459235 _:b665459238 . _:b665971002 . _:b665122227 . _:b663276354 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665122226 . _:b665122225 . _:b665971005 . _:b665122224 . _:b666092987 . _:b665971006 . _:b665122191 . _:b665970986 . _:b665971007 . _:b665122190 . _:b665122189 . _:b675160491 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665122188 . _:b665459237 _:b665459236 . _:b665459238 _:b665459237 . _:b665122187 . _:b665122319 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665459245 _:b665459251 . _:b665122186 . _:b674016855 . _:b665122185 . _:b665122184 . . _:b665122183 . _:b665122182 . _:b662809630 . _:b665122181 . _:b665793942 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665122180 . _:b665459258 _:b665459257 . _:b665122179 . _:b662809629 . _:b665459252 _:b665459255 . _:b665122178 . _:b665459259 _:b665459258 . _:b665459246 _:b665459247 . _:b665122177 . _:b665459255 _:b665459254 . _:b665459250 _:b665459246 . _:b665122176 . _:b665459256 _:b665459259 . _:b665122207 . _:b665459254 _:b665459253 . _:b674016500 . _:b678849909 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665122206 . _:b665122205 . _:b665122204 . _:b674016805 . _:b665459251 _:b665459250 . _:b665122203 . _:b674016804 . _:b674016458 . _:b665122202 . _:b665459249 _:b665459248 . _:b665122201 . _:b665122200 . _:b665176343 . _:b665459202 _:b665459204 . _:b665122199 . _:b665122198 . _:b665459202 _:b665459203 . _:b665122197 . . _:b665459204 _:b665459205 . _:b665122196 . _:b665176344 . _:b665122195 . _:b665459206 _:b665459207 . _:b665122194 . _:b665122193 . _:b665177051 . _:b665122192 . _:b674016802 . _:b665459211 _:b665459212 . _:b665459209 _:b665459211 . _:b665176614 . _:b665122287 . _:b666093095 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665459209 _:b665459210 . _:b665122286 . _:b665122285 . _:b665176322 . _:b665795320 . _:b665795312 . _:b665122284 . _:b665176794 . _:b665122283 . _:b665795322 . _:b665122282 . _:b665793874 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b674016711 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665459213 _:b665459214 . _:b665122281 . _:b665459220 _:b665459221 . _:b665122280 . _:b665795325 . _:b665122279 . _:b665795326 . _:b665122278 . _:b665795327 . _:b665122277 . _:b665459228 _:b665459231 . _:b665122276 . _:b665459216 _:b665459217 . _:b665795321 . _:b665122275 . _:b665459216 _:b665459218 . _:b674016466 . _:b665122274 . _:b665459218 _:b665459219 . _:b666092857 . _:b665122273 . _:b665459230 _:b665459229 . _:b665122272 . _:b665176562 . _:b665122303 . _:b665459231 _:b665459230 . _:b665122302 . _:b665795319 . _:b678849698 . _:b665122301 . _:b665795304 . _:b668379062 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665122300 . _:b665176824 . _:b665459225 _:b665459224 . _:b665122299 . _:b665176825 . _:b665122298 . _:b665459227 _:b665459226 . _:b665122226 . _:b665176826 . _:b665122297 . _:b665122227 . _:b665795308 . _:b665122296 . _:b665795309 . _:b665459586 _:b665459588 . . _:b665122295 . _:b665795302 . _:b665122294 . _:b668716945 . _:b665459586 _:b665459587 . _:b665122293 . _:b665459588 _:b665459589 . _:b665122292 . _:b665122160 . _:b665122291 . _:b665122163 . _:b665459590 _:b665459591 . _:b668379074 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665122290 . _:b665795307 . _:b665122289 . _:b674348729 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665795300 . _:b665122288 . _:b665795301 . _:b665122255 . _:b668716570 . _:b665122254 . _:b665795303 . _:b665122253 . _:b678849542 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665795288 . _:b665122252 . _:b665795289 . _:b665122251 . _:b665795184 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665793532 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665795282 . _:b665122250 . _:b665122249 . _:b665122248 . . _:b665794093 . _:b665122247 . _:b665122246 . _:b665122245 . _:b663276552 . _:b665795280 . _:b665122244 . _:b674016797 . _:b665795581 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665795281 . _:b665458968 . _:b665458975 . _:b665122243 . _:b665795290 . _:b665458969 . _:b665122242 . _:b665795283 . _:b665122241 . _:b674016908 . _:b665122240 . _:b665458978 . _:b665122271 . _:b665795286 . _:b665122270 . _:b665795287 . _:b665122269 . _:b665458976 . _:b665458977 . _:b665122268 . _:b665122267 . _:b665122330 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665122266 . _:b665122265 . _:b665122264 . _:b665122263 . _:b665122262 . _:b674348281 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665122261 . _:b665122260 . _:b665176823 . _:b665122259 . _:b665176822 . _:b675160832 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665458996 . _:b665122258 . _:b665458997 . _:b665122257 . _:b665122256 . _:b665458999 . _:b674016688 . _:b665458993 . _:b665122351 . _:b665458998 . _:b674016689 . _:b665122350 . _:b665458995 . _:b665122349 . _:b665458994 . _:b665122348 . _:b665122347 . _:b665459001 . _:b665176830 . _:b665122346 . _:b665176829 . _:b665122345 . _:b665458946 . _:b665176828 . _:b665122344 . _:b665122300 . _:b665458947 . _:b665459002 . _:b665176827 . _:b665122343 . _:b665122301 . _:b665176826 . _:b665459000 . _:b665122342 . _:b665122302 . _:b665176825 . _:b665122341 . _:b665122303 . _:b665176824 . _:b665122340 . _:b665122296 . _:b665122339 . _:b665122297 . _:b665458944 . _:b665122338 . _:b665122298 . _:b665176882 . _:b665122337 . _:b665122299 . _:b665459006 . _:b665122336 . _:b665122292 . _:b665458945 . _:b665458950 . _:b665458998 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665458948 . _:b665459007 . _:b665122293 . _:b665122367 . _:b665458951 . _:b665122366 . _:b665122294 . _:b665459005 . _:b665122295 . _:b665122365 . _:b665459004 . _:b665122364 . _:b665122288 . _:b665458949 . _:b665459003 . _:b665458954 . _:b665122363 . _:b665122289 . _:b665122362 . _:b665122290 . _:b665458955 . _:b665458952 . _:b665122291 . _:b665122361 . _:b665458958 . _:b665458953 . _:b665122360 . _:b665122284 . _:b665458992 . _:b665458959 . _:b665122359 . _:b665122285 . _:b665458957 . _:b665122358 . _:b665122286 . . _:b665458956 . _:b665122287 . _:b665122357 . _:b665122356 . _:b665122280 . _:b665458966 . _:b665793573 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b663276286 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665122355 . _:b665122281 . _:b665176865 . _:b665458967 . _:b665458987 . _:b665122354 . _:b665122282 . _:b665176866 . _:b665458986 . _:b665122353 . _:b665122283 . _:b665176867 . _:b665458965 . _:b665122352 . _:b665971151 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665122276 . _:b665176868 . _:b665458964 . _:b665122319 . _:b665122277 . _:b665794114 . _:b675160377 . _:b665458962 . _:b665458988 . _:b665458984 . _:b665458996 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665122278 . _:b665122318 . _:b665458963 . _:b665794115 . _:b665458989 . _:b665458991 . _:b665122279 . _:b665122317 . _:b665458960 . _:b665794112 . _:b675160371 . _:b665458990 . _:b665122272 . _:b665122316 . _:b665794113 . _:b665458961 . _:b665458985 . _:b665176872 . _:b665122315 . _:b665794118 . _:b665458979 . _:b665458974 . _:b665458983 . _:b665122274 . _:b665122314 . _:b665794119 . _:b665122313 . _:b665122275 . _:b665794116 . _:b665458971 . _:b665458972 . _:b665122268 . _:b665122312 . _:b665794117 . _:b675160368 . _:b674016529 . _:b665176876 . _:b665122311 . _:b665122269 . _:b665794122 . _:b665458973 . _:b665458981 . _:b665122270 . _:b665122310 . _:b665458970 . _:b665794123 . _:b665458980 . _:b665458982 . _:b665122271 . _:b665122309 . _:b665794120 . _:b665122308 . _:b665122264 . _:b665794121 . _:b675160372 . _:b665122307 . _:b665122265 . _:b665794126 . _:b665122306 . _:b665122266 . _:b665794127 . _:b665122305 . _:b675160924 . _:b665122267 . _:b665794124 . _:b665122304 . _:b674016410 . _:b665794125 . _:b675160360 . _:b674016537 . _:b665176852 . _:b665122335 . _:b665122261 . _:b665794130 . _:b665176853 . _:b675160353 . _:b665122334 . _:b675160897 . _:b665122262 . _:b665794131 . _:b665122333 . _:b665794128 . _:b665122332 . _:b665794129 . _:b675160364 . _:b665122331 . _:b665794134 . _:b665122330 . _:b665794135 . _:b665122329 . _:b665459024 . _:b665794132 . _:b675160359 . _:b678850136 . _:b665122328 . _:b675160907 . _:b665794133 . _:b665122327 . _:b678850101 . _:b665794138 . _:b665122326 . _:b674348748 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665794139 . _:b675160354 . _:b674348699 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665122325 . _:b665177075 . _:b665794136 . _:b675160363 . _:b665122324 . _:b665794137 . _:b662809748 . _:b665122323 . _:b665794142 . _:b675160357 . _:b675160365 . _:b665122322 . _:b665794143 . _:b675160358 . _:b665122321 . _:b665794140 . _:b665176835 . _:b665793854 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665122320 . _:b678850106 . _:b665794141 . _:b674016617 . _:b665176836 . _:b665459021 . _:b675160336 . _:b665122415 . _:b665459020 . _:b675160337 . _:b665122414 . _:b675160945 . _:b665459023 . _:b674016631 . _:b665122413 . _:b665794144 . _:b665122412 . _:b675160951 . _:b665794145 . _:b665176840 . _:b665459507 . _:b665795233 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b674016219 _:b674016222 . _:b665122411 . _:b665176841 . _:b665459011 . _:b665122410 . _:b675160350 . _:b675160342 . _:b665122409 . _:b665459008 . _:b665459009 . _:b665122364 . _:b665122408 . _:b665459010 . _:b675160344 . _:b665122407 . _:b665122365 . _:b674348726 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665122406 . _:b665122366 . _:b666093120 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665459022 . _:b665122367 . _:b665122405 . _:b665176847 . _:b665459012 . _:b665122404 . _:b665122360 . _:b665459013 . _:b678850021 . _:b674016221 _:b674016220 . _:b668378705 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665122403 . _:b665122361 . _:b674016222 _:b674016221 . _:b675160349 . _:b665122402 . _:b665122362 . _:b665459104 . _:b674016635 . _:b678850042 . _:b665122401 . _:b675160956 . _:b665122363 . _:b675160343 . _:b665122400 . _:b665122356 . _:b674016218 _:b674016217 . _:b674016216 _:b674016215 . _:b665122431 . _:b675160930 . _:b665122357 . _:b665459015 . _:b665459530 . _:b665459014 . _:b665122358 . _:b665122430 . _:b665122429 . _:b665122359 . _:b678850047 . _:b665122428 . _:b678850094 . _:b665122352 . _:b665122427 . _:b665122353 . _:b675160325 . _:b665122426 . _:b665122354 . _:b665795740 . _:b675160326 . _:b665459017 . _:b665122355 . _:b665122425 . _:b665122424 . _:b665122348 . _:b665459016 . _:b665459523 . _:b665122423 . _:b665122349 . _:b665459019 . _:b665122422 . _:b675160937 . _:b665122350 . _:b665459018 . _:b678849561 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665122421 . _:b665122351 . _:b665122420 . _:b665122344 . _:b665176852 . _:b675160332 . _:b665459025 . _:b665122345 . _:b665122419 . _:b665176853 . _:b675160333 . _:b665122418 . _:b665122346 . _:b665176854 . _:b678849594 "per discussion with Barry Smith" . _:b665459497 . _:b665122417 . _:b665122347 . _:b665176607 . _:b665176855 . _:b675160828 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665459026 . _:b665459491 _:b665459490 . _:b665122340 . _:b665122416 . . _:b678849540 "per discussion with Barry Smith" . _:b665122383 . _:b665459491 _:b665459488 . _:b665122341 . _:b665794050 . _:b665971160 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665459500 . _:b665122382 . _:b665122342 . _:b665176850 . _:b665459490 _:b665459489 . _:b665794051 . _:b665122381 . _:b674016255 _:b674016254 . _:b674016243 _:b674016246 . _:b665122343 . _:b665176851 . _:b665794048 . _:b665122380 . _:b665122336 . _:b665794049 . _:b665122379 . _:b665122337 . _:b665794054 . _:b665122378 . _:b674348352 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b674016237 _:b674016238 . _:b665122338 . _:b665794055 . _:b665122377 . _:b665122339 . _:b665794052 . _:b674016249 _:b674016248 . _:b665122376 . _:b674016247 _:b674016250 . _:b665459503 _:b665459504 . _:b665122332 . _:b665176856 . _:b674016250 _:b674016249 . _:b665794053 . . _:b665122375 . _:b665122333 . _:b665459027 . _:b665176565 . _:b674016606 . _:b665794058 . _:b665122374 . _:b665122334 . _:b665794059 . _:b674016245 _:b674016244 . _:b674016240 _:b674016239 . _:b665122373 . _:b665122335 . _:b665459512 _:b665459509 . _:b674016246 _:b674016245 . _:b665794056 . _:b665122372 . _:b665459508 _:b665459512 . _:b665122328 . _:b665794057 . _:b674016241 _:b674016237 . _:b665122371 . _:b665122329 . _:b665794062 . _:b665122370 . _:b665122330 . _:b665459512 _:b665459511 . _:b674016242 _:b674016241 . _:b665794063 . _:b665122369 . _:b665122331 . _:b665794060 . _:b665176915 . _:b665122368 . _:b665122324 . _:b665794061 . _:b665176916 . _:b665793957 . _:b665122325 . _:b665122399 . _:b665794066 . _:b665122398 . _:b665122326 . _:b674016232 _:b674016231 . _:b678849558 "per discussion with Barry Smith" . _:b665794067 . _:b665459511 _:b665459510 . _:b674016252 _:b674016253 . _:b665122397 . _:b674016238 _:b674016240 . _:b674016233 _:b674016232 . _:b665122327 . _:b665794064 . _:b665176939 . _:b665122396 . _:b665122320 . _:b665795553 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665794065 . _:b674016230 _:b674016233 . _:b674016854 . _:b665122395 . _:b665122321 . _:b678849553 "per discussion with Barry Smith" . _:b665794070 . _:b674016226 _:b674016229 . _:b665122394 . _:b665122322 . _:b663276286 . _:b663276276 . _:b663276274 . _:b665794071 . _:b665122393 . _:b665122323 . _:b663276275 . _:b665794068 . _:b665122392 . _:b665459459 _:b665459458 . _:b665122316 . _:b663276284 . _:b665794069 . _:b665122391 . _:b665122317 . _:b663276285 . _:b665794074 . _:b665970743 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665122390 . _:b665122318 . _:b663276282 . _:b665459458 _:b665459457 . _:b665794075 . _:b665176940 . _:b665122389 . _:b665122319 . _:b663276283 . _:b665794072 . _:b665122388 . _:b665122312 . _:b665794073 . _:b665122387 . _:b665459469 _:b665459472 . _:b665122313 . _:b663276281 . _:b665794078 . _:b665122386 . _:b665122314 . _:b665794079 . _:b665122385 . _:b665122315 . _:b674016228 _:b674016227 . _:b665794076 . _:b665459464 _:b665459463 . _:b665122384 . _:b674016229 _:b674016228 . _:b665122308 . _:b665794077 . _:b665459465 _:b665459464 . _:b665176935 . _:b674016858 . _:b665122479 . _:b674016236 _:b674016242 . _:b665122309 . _:b665794082 . _:b665176934 . _:b665122478 . _:b665122310 . _:b665459462 _:b665459465 . _:b665794083 . _:b665176933 . _:b665122477 . _:b678849504 . _:b665122311 . _:b668378670 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b663276287 . _:b665794080 . _:b665122476 . _:b665122304 . _:b665176920 . _:b665794081 . _:b665459471 _:b665459470 . _:b665122475 . _:b665122305 . _:b665176921 . _:b665794086 . _:b665122474 . _:b665122306 . _:b665176922 . _:b665794087 . _:b665459456 _:b665459459 . _:b665122473 . _:b665122307 . _:b674348293 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665794084 . _:b674348280 . _:b665122472 . _:b663276262 . _:b665459472 _:b665459471 . _:b665794085 . _:b674348281 . _:b665122471 . _:b665794090 . _:b665459482 _:b665459486 . _:b665176909 . _:b665122470 . _:b675160889 . _:b665459223 . _:b665794091 . _:b665122469 . _:b665794088 . _:b665122468 . _:b665794089 . _:b665122467 . _:b678849514 . _:b675160894 . _:b663276261 . _:b665794094 . _:b665459461 _:b665459462 . _:b665122466 . _:b665794095 . _:b665122465 . _:b665794092 . _:b674016573 . _:b665459289 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665459487 _:b665459491 . _:b662810059 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665122464 . _:b663276264 . _:b674016572 . _:b665794093 . _:b665459486 _:b665459483 . _:b674016575 . _:b665122495 . _:b665970782 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665794098 . _:b665122494 . _:b665459485 _:b665459484 . _:b674016574 . _:b665794099 . _:b665459486 _:b665459485 . _:b665122493 . _:b663276265 . _:b665794096 . _:b665122492 . _:b665459468 _:b665459469 . _:b665794097 . _:b665459481 _:b665459480 . _:b674016571 . _:b665122491 . _:b665794102 . _:b674016568 . _:b665122490 . _:b665459480 _:b665459479 . _:b674016570 . _:b665794103 . _:b665459478 _:b665459481 . _:b665122489 . _:b675160868 . _:b674016565 . _:b665794100 . _:b665122488 . _:b675160875 . _:b665794101 . _:b665122487 . _:b674016567 . _:b665794106 . _:b674016564 . _:b665122486 . _:b665794107 . _:b674016566 . _:b665459581 _:b665459582 . _:b665122485 . _:b665794104 . _:b675160387 . _:b665122484 . _:b665459579 _:b665459580 . _:b674016560 . _:b665794105 . _:b665122483 . _:b674016563 . _:b665794110 . _:b665459579 _:b665459581 . _:b665122482 . _:b665459382 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b663276227 . _:b674016600 . _:b665459576 _:b665459577 . _:b665794111 . _:b674016561 . _:b665122481 . _:b663276226 . _:b665459572 _:b665459573 . _:b665794108 . _:b666093073 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665122480 . _:b674016556 . _:b665794109 . _:b675160504 . _:b665122447 . _:b675161042 . _:b674016559 . _:b665459574 _:b665459575 . _:b675160497 . _:b665122446 . _:b665459572 _:b665459574 . _:b674016558 . _:b674016596 . _:b674016557 . _:b665122445 . _:b675161040 . _:b665459569 _:b665459570 . _:b663276277 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665122444 . _:b675161047 . _:b665122443 . _:b665122442 . _:b665122441 . _:b665122440 . _:b665459561 _:b665459560 . _:b675160496 . _:b674016866 . _:b665122439 . _:b665459567 _:b665459568 . _:b665176844 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b675160505 . _:b665459562 _:b665459561 . _:b665122438 . _:b675161049 . _:b665459563 _:b665459562 . _:b675160498 . _:b665459559 _:b665459563 . _:b665122437 . _:b665459565 _:b665459567 . _:b663276365 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665122436 . _:b665459552 _:b665459551 . _:b665122435 . _:b675161054 . _:b675160501 . _:b665122434 . _:b665459565 _:b665459566 . _:b675160502 . _:b665122433 . _:b662809995 . _:b675160503 . _:b665459554 _:b665459553 . _:b674348711 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665459366 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665459555 _:b665459554 . _:b665122432 . _:b665122463 . _:b675161026 . _:b674016486 . _:b665795277 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665122462 . _:b665459553 _:b665459552 . _:b674016487 . _:b665122461 . _:b674016484 . _:b665176772 . _:b665122460 . _:b663276227 . _:b665459558 _:b665459557 . _:b665122459 . _:b665459556 _:b665459555 . _:b663276226 . _:b665459557 _:b665459556 . _:b665122458 . _:b665122457 . _:b665459543 _:b665459542 . _:b675160495 . _:b665122456 . _:b675161035 . _:b665459545 _:b665459548 . _:b665122380 . _:b665122455 . _:b665459542 _:b665459541 . _:b665122454 . _:b675161033 . _:b665459543 _:b665459540 . _:b665122453 . _:b665857046 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665122376 . _:b665122452 . _:b665122451 . _:b665122377 . _:b665122450 . _:b665122378 . _:b665122449 . _:b665122379 . _:b665459548 _:b665459547 . _:b665122448 . _:b665122372 . _:b665459550 _:b665459558 . _:b665122543 . _:b665459539 _:b665459544 . _:b665122373 . _:b665122542 . _:b665122374 . _:b665122541 . _:b665122375 . _:b665459547 _:b665459546 . _:b665122540 . _:b665122368 . _:b665122539 . _:b665122369 . _:b678849906 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665122538 . _:b665122370 . _:b665459544 _:b665459543 . _:b665122537 . _:b665122371 . _:b665122536 . _:b674016497 . _:b674348614 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665459281 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665122535 . _:b674348615 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665122534 . _:b665122533 . _:b665122532 . _:b674016782 . _:b665122531 . _:b665971013 . _:b665122530 . _:b665122529 . _:b665122528 . . _:b662809858 . _:b665122559 . _:b665122558 . _:b665793527 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665122557 . _:b675161056 . _:b665122556 . _:b665122555 . _:b665459583 _:b665459584 . _:b665122554 . _:b665122553 . _:b665122552 . _:b665122551 . _:b665122550 . _:b665122549 . _:b665122548 . _:b665122547 . _:b665795212 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665122546 . _:b665122545 . _:b665122544 . _:b665122511 . _:b678849673 . _:b665122510 . _:b675160977 . _:b675160570 . _:b678849678 . _:b674348676 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665122509 . _:b675160571 . _:b665176583 . _:b665122508 . _:b665177082 . _:b675160572 . _:b665122507 . _:b675160573 . _:b665122506 . . _:b675160574 . _:b675160566 . _:b665122505 . _:b665122504 . _:b675160560 . _:b665122503 . _:b665122502 . _:b665122501 . _:b675160563 . _:b665122500 . _:b674348674 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b675160564 . _:b665122499 . _:b675160565 . _:b665793881 . _:b665122498 . _:b665793882 . _:b665122497 . _:b675160567 . _:b675160575 . _:b665122496 . _:b674348745 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b675160552 . _:b665122527 . _:b665122526 . _:b678849948 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b675160554 . _:b665122525 . _:b665122524 . _:b665122523 . _:b665793676 . _:b675160557 . _:b665122522 . _:b675160558 . _:b665122521 . _:b674348721 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665122520 . _:b675160544 . _:b665122519 . _:b675160545 . _:b675160553 . _:b665122518 . _:b675160546 . _:b665122517 . _:b675160547 . _:b665122516 . _:b675160548 . _:b665122515 . _:b675160549 . _:b665122514 . _:b675160550 . _:b662809690 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665122513 . _:b675160551 . _:b675160559 . _:b665122512 . _:b675160537 . _:b668716356 . _:b668716336 . _:b674016553 _:b674016552 . _:b675161008 . _:b674016550 _:b674016554 . _:b674016554 _:b674016553 . _:b675160540 . _:b674016552 _:b674016551 . _:b675160541 . _:b668716352 . _:b668716340 . _:b675161013 . _:b663277660 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b674016558 _:b674016559 . _:b674016556 _:b674016558 . _:b675160542 . _:b668716353 . _:b674016544 _:b674016543 . _:b668716341 . _:b674016581 . _:b675160543 . _:b668716354 . _:b674016582 . _:b674016556 _:b674016557 . _:b665856983 . _:b674016580 . _:b668716355 . _:b675160536 . _:b674016836 . _:b663276446 . _:b675161017 . _:b674016546 _:b674016545 . _:b674016547 _:b674016546 . _:b674016577 . _:b674016578 . _:b665856979 . _:b668716347 . _:b674016545 _:b674016544 . _:b674016579 . _:b665856978 . _:b675160534 . _:b665856998 . _:b675160535 . _:b665856999 . _:b674016548 _:b674016547 . _:b674016549 _:b674016548 . _:b674016812 . _:b665856990 . _:b674016262 . _:b665176981 . _:b674016574 _:b674016575 . _:b668378673 "per discussion with Barry Smith" . _:b665971112 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665856989 . _:b675160523 . _:b674016572 _:b674016573 . _:b675160524 . _:b675160517 . _:b668716324 . _:b665856985 . _:b666093130 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b668716325 . _:b674016570 _:b674016571 . _:b665856984 . _:b668716326 . _:b665459299 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b674016570 _:b674016572 . _:b674016567 _:b674016568 . _:b665176916 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b675160522 . _:b674016565 _:b674016566 . _:b675160515 . _:b675160516 . _:b674016378 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b674016266 . _:b674016563 _:b674016565 . _:b675160518 . _:b674016560 _:b674016561 . _:b675160519 . _:b675160527 . _:b674016563 _:b674016564 . _:b665122575 . _:b668716335 . _:b665122574 . _:b675160657 . _:b668716327 . _:b665793518 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665122573 . _:b668716326 . _:b665122572 . _:b668716325 . _:b665459263 . _:b665856971 . _:b665122571 . _:b668716324 . _:b665856970 . _:b665122570 . _:b668716323 . _:b668378637 "per discussion with Barry Smith" . _:b665856969 . _:b665122569 . _:b668716322 . _:b665856968 . _:b665122568 . _:b665857015 . _:b665122567 . _:b675160666 . _:b668378632 "per discussion with Barry Smith" . _:b665857014 . _:b665122566 . _:b665122565 . _:b675160664 . _:b665122564 . _:b675160671 . _:b665795572 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665857011 . _:b665122563 . _:b665122562 . _:b665122561 . _:b668716330 . _:b665122560 . _:b668716329 . _:b666092726 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b663277686 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b668716328 . _:b674016535 _:b674016534 . _:b665793938 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665857021 . _:b674016533 _:b674016532 . _:b674016534 _:b674016533 . _:b674016536 _:b674016539 . _:b665857019 . _:b674016534 _:b674016531 . _:b665857018 . _:b674016523 . _:b675160644 . _:b665857204 . _:b665856999 . _:b665857033 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b674016530 _:b674016535 . _:b665856997 . _:b675160648 . _:b665856996 . _:b674016543 _:b674016542 . _:b674016541 _:b674016549 . _:b665176587 . _:b665856995 . _:b674016538 _:b674016537 . _:b665856973 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674016904 . _:b674016539 _:b674016538 . _:b675160690 . _:b674016637 _:b674016636 . _:b665795704 . _:b665857004 . _:b665795705 . _:b665857003 . _:b674016626 _:b674016633 . _:b666093156 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b674016636 _:b674016635 . _:b665795706 . _:b665857002 . _:b674016897 . _:b674016621 _:b674016622 . _:b674016632 _:b674016631 . _:b674016633 _:b674016627 . _:b665857001 . _:b674016633 _:b674016632 . _:b675160692 . _:b665795708 . _:b665857000 . _:b674016898 . _:b665795711 . _:b668716409 . _:b675160696 . _:b674016630 _:b674016629 . _:b665795696 . _:b674016628 _:b674016630 . _:b674016634 _:b674016637 . _:b675160703 . _:b674016624 _:b674016623 . _:b665795697 . _:b663276277 . _:b665795698 . _:b663276278 . _:b665795699 . _:b665795707 . _:b665795700 . _:b665459012 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665795701 . _:b668716415 . _:b674016625 _:b674016624 . _:b665857361 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665795702 . _:b663276282 . _:b675160673 . _:b665795703 . _:b663276283 . _:b674016618 _:b674016617 . _:b665795688 . _:b674016612 _:b674016615 . _:b674348662 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665795689 . _:b674016619 _:b674016618 . _:b665795681 . _:b675160678 . _:b674016610 _:b674016606 . _:b665795691 . _:b674348689 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665857502 . _:b665795694 . _:b668716358 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674016589 . _:b665795695 . _:b674016611 _:b674016610 . _:b665971382 . _:b675160680 . _:b675160687 . _:b674016609 _:b674016608 . _:b674016615 _:b674016614 . _:b674016627 _:b674016628 . _:b665795690 . _:b675160685 . _:b674016622 _:b674016625 . _:b665795584 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b674016616 _:b674016619 . _:b674016614 _:b674016613 . _:b663276266 . _:b668716368 . _:b663276267 . _:b674016597 _:b674016596 . _:b674016598 _:b674016597 . _:b665795672 . _:b663276268 . _:b665795673 . _:b668716372 . _:b674016607 _:b674016609 . _:b665795677 . _:b662810049 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665795678 . _:b668716376 . _:b665795671 . _:b674016595 _:b674016598 . _:b674016605 _:b674016611 . _:b663276271 . _:b674016601 _:b674016600 . _:b665795676 . _:b668716382 . _:b674016599 _:b674016602 . _:b674016602 _:b674016601 . _:b665795669 . _:b663276270 . _:b665795670 . _:b663276269 . _:b668716352 . _:b674016577 _:b674016578 . _:b674016588 _:b674016591 . _:b663276268 . _:b678849537 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b668716353 . _:b675160576 . _:b665795656 . _:b663276267 . _:b665795657 . _:b674016579 _:b674016580 . _:b663276266 . _:b674016577 _:b674016579 . _:b675160582 . _:b665795658 . _:b663276265 . _:b663276264 . _:b665795651 . _:b674016581 _:b674016582 . _:b675160587 . _:b665857165 . _:b665793724 . _:b674016585 _:b674016584 . _:b668716350 . _:b665795649 . _:b674016587 _:b674016586 . _:b668716351 . _:b674016606 _:b674016607 . _:b665795650 . _:b674016590 _:b674016589 . _:b663276272 . _:b665795659 . _:b668716365 . _:b665795652 . _:b674016591 _:b674016590 . _:b668378913 _:b668378914 . _:b668378913 _:b668378918 . _:b668716366 . _:b668716367 . _:b668716435 . _:b665795655 . _:b668716434 . _:b665795768 . _:b668716433 . _:b665795769 . _:b665459346 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665177118 . _:b665176878 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665795770 . _:b665795771 . . _:b665177116 . _:b665795772 . _:b665177114 . _:b665795773 . _:b665177114 . _:b665795774 . _:b678850153 . _:b665795775 . _:b668378906 _:b668378907 . _:b668378906 _:b668378911 . _:b665795760 . _:b665177118 . _:b675160639 . _:b678849896 "per discussion with Barry Smith" . _:b665795761 . _:b665177111 . _:b665177107 . _:b665795764 . _:b663277909 . _:b665177109 . _:b668378899 _:b668378900 . _:b665795765 . _:b678849990 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b678849909 "per discussion with Barry Smith" . _:b665795766 . _:b665177107 . _:b668378899 _:b668378904 . _:b665795767 . _:b665177111 . _:b675160608 . _:b665795752 . _:b665795753 . _:b665795754 . _:b665177128 . _:b674016830 . _:b665795755 . _:b663276351 . _:b665177132 . _:b665795756 . _:b665971126 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665795757 . _:b674016817 . _:b665177130 . _:b665795758 . _:b668378892 _:b668378893 . _:b665177132 . _:b665177128 . _:b665795744 . _:b663276324 . _:b665458982 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665795745 . _:b665177121 . _:b663277912 . _:b665795746 . _:b665795747 . _:b674016256 _:b674016255 . _:b674016823 . _:b665795748 . _:b668378892 _:b668378897 . _:b665177125 . _:b665795749 . _:b665177125 . _:b674016809 . _:b665795750 . _:b674016810 . _:b665177123 . _:b665795751 . _:b665795759 . _:b674016811 . _:b665177121 . _:b665795729 . _:b665857010 . _:b668716420 . _:b665795739 . _:b668716421 . _:b665795740 . _:b668716422 . _:b665856977 . _:b665795733 . _:b665856976 . _:b665856979 . _:b665795743 . _:b663276307 . _:b665856978 . _:b665795728 . _:b678849589 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b663276308 . _:b674016804 . _:b662809696 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b663276309 . _:b663276310 . _:b665795738 . _:b668716688 . _:b668716689 . _:b665795734 . _:b663276314 . _:b668716416 . _:b665795735 . _:b665795721 . _:b665795713 . _:b674016367 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b663276318 . _:b665795724 . _:b665795725 . _:b663276289 . _:b674016771 . _:b665795726 . _:b665795727 . _:b665795712 . _:b665795720 . _:b674016786 . _:b674016769 . _:b674016237 . _:b674016787 . _:b665795714 . _:b663276294 . _:b663276295 . _:b674016782 . _:b665795717 . _:b675160479 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665795718 . _:b674016778 . _:b665795719 . _:b674016781 . _:b665856980 . _:b674016779 . _:b674016516 . _:b665856973 . _:b665856975 . _:b665856974 . _:b663276292 . _:b666092751 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b663276293 . _:b665459386 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b663276294 . _:b665121960 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b663276295 . _:b663276375 . _:b665857017 . _:b665857016 . _:b665857019 . _:b678849963 "per discussion with Barry Smith" . _:b665857018 . _:b674016248 . _:b668378682 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674016888 . _:b674016889 . _:b665857619 . _:b663276377 . _:b663276376 . _:b668378681 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674016891 . _:b665459404 . _:b663276296 . _:b674016892 . _:b665459407 . _:b663276297 . _:b665971155 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b674016893 . _:b663276298 . _:b665970795 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b674016894 . _:b674016895 . _:b674016880 . _:b665795810 . _:b674016881 . _:b674016882 . _:b674016511 . _:b674016797 . _:b674016884 . _:b674016885 . _:b678849652 . _:b674016886 . _:b674016798 . _:b674016887 . _:b665459448 . _:b665793569 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b674016873 . _:b665121983 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b674016874 . _:b674016875 . _:b675160720 . _:b665176764 . _:b678849927 "per discussion with Barry Smith" . _:b665459452 . _:b665795800 . _:b674016876 . _:b674016877 . _:b665857040 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b674016878 . _:b678849922 "per discussion with Barry Smith" . _:b674016762 _:b674016761 . _:b674016879 . _:b675160724 . _:b674348724 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665795796 . _:b668716289 . _:b675160439 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665459443 . _:b674016763 _:b674016762 . _:b674348725 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b675160730 . _:b668716304 . _:b665459445 . _:b674016760 _:b674016763 . _:b665795792 . _:b675160735 . _:b665459447 . _:b665459446 . _:b675160707 . _:b665795797 . _:b663276362 . _:b665795801 . _:b665459437 . _:b663276363 . _:b663276364 . _:b665795784 . _:b665795785 . _:b674016861 . _:b665459438 . _:b665795203 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665795786 . _:b662810012 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b662810041 . _:b674016862 . _:b665795787 . _:b668716310 . _:b662810040 . _:b674016863 . _:b665795788 . _:b662810043 . _:b665795789 . _:b674016465 . _:b662810042 . _:b675160714 . _:b663276297 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b662810045 . _:b665795791 . _:b662810044 . _:b662810065 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665795776 . _:b662810047 . _:b665795777 . _:b663276357 . _:b662810046 . _:b665795778 . _:b663276358 . _:b665795779 . _:b668716301 . _:b675160716 . _:b665795780 . _:b665795781 . _:b665971406 . _:b665795782 . _:b665795790 . _:b665793588 . _:b665795783 . _:b665793659 "1"^^ . _:b662810039 . _:b665793658 "1"^^ . _:b662810038 . _:b674016409 . _:b665793657 "1"^^ . _:b662809963 . _:b662810059 . _:b668716727 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674016808 . _:b662810058 . _:b665793651 "1"^^ . _:b665857133 . _:b665793650 "1"^^ . _:b665176388 . _:b665176368 . _:b674016812 . _:b662809964 . _:b665176384 . _:b665176372 . _:b675160738 . _:b665176385 . _:b665176373 . _:b674016803 . _:b665176386 . _:b665176387 . _:b674016805 . _:b665121950 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b675160742 . _:b674016807 . _:b674016806 . _:b665176379 . _:b662809964 . _:b665793644 "1"^^ . _:b662810078 . _:b678849958 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b662809963 . _:b662810079 . _:b678849621 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665793638 "1"^^ . _:b665176356 . _:b675160888 . _:b665857032 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b674016437 . _:b665793602 . _:b668717001 . _:b665176357 . _:b668716435 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665793603 . _:b665176358 . _:b665793600 . _:b665793601 . _:b675160892 . _:b665793606 . _:b675160893 . _:b665795836 . _:b665793607 . _:b662810088 . _:b675160886 . _:b665793604 . _:b662810089 . _:b665793605 . _:b662810090 . _:b662810091 . _:b665793610 . _:b662809851 . _:b662810092 . _:b668716994 . _:b665793611 . _:b662809848 . _:b665857534 . _:b665857415 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665793608 . _:b665176367 . _:b675160891 . _:b665793609 . _:b675160884 . _:b665176359 . _:b665795829 . _:b666093356 . _:b665793614 . _:b675160885 . _:b665176358 . _:b665793615 . _:b665176357 . _:b665793612 . _:b675160887 . _:b665176356 . _:b665793613 . _:b675160872 . _:b665176355 . _:b666092704 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665793618 . _:b675160873 . _:b665176354 . _:b674016819 . _:b674016911 . _:b665793619 . _:b675160866 . _:b665793616 . _:b665793617 . _:b674016810 . _:b665176820 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665121992 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665793622 . _:b662810087 . _:b665793623 . _:b665793620 . _:b674348245 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795822 . _:b674016825 . _:b665793621 . _:b675160864 . _:b674348246 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795743 . _:b665793626 . _:b675160865 . _:b665176362 . _:b674016736 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b662810111 . _:b665176361 . _:b665793627 . _:b674016890 . _:b675160874 . _:b662810110 . _:b675160867 . _:b665176360 . _:b665793624 . _:b662810094 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665793625 . _:b665793630 . _:b665793631 . _:b675160870 . _:b665795815 . _:b674016813 . _:b665793628 . _:b675160871 . _:b665793629 . _:b665459034 . _:b665793634 . _:b674016883 . _:b665459037 . _:b665793635 . _:b665793632 . _:b665793633 . _:b674016909 . _:b665793638 . _:b668378988 "per discussion with Barry Smith" . _:b662810036 . _:b665793639 . _:b665793636 . _:b674016896 . _:b665795756 . _:b665121961 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665793637 . _:b665793642 . _:b665793896 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665793643 . _:b674016913 . _:b665795745 . _:b665793640 . _:b674016830 . _:b665793641 . _:b665122106 . _:b665793646 . _:b674348307 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665793647 . _:b665795749 . _:b665793590 "1"^^ . _:b665793644 . _:b668716987 . _:b665793645 . _:b663277758 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665793650 . _:b665795591 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665795750 . _:b665793589 "1"^^ . _:b665793651 . _:b665793648 . _:b678849917 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665793649 . _:b668716397 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665795841 . _:b662810043 . _:b665176441 . _:b665793654 . _:b668379060 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665793655 . _:b665793652 . _:b668379006 "per discussion with Barry Smith" . _:b665793653 . _:b665793658 . _:b674016893 . _:b665793659 . _:b668379001 "per discussion with Barry Smith" . _:b665793656 . _:b665176447 . _:b668716980 . _:b665793657 . _:b665793662 . _:b662810022 . _:b665458970 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665793663 . _:b665971164 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b662810023 . _:b665793660 . _:b668379050 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662810020 . _:b665459067 . _:b662810030 . _:b665793661 . _:b662810024 . _:b675160944 . _:b668379051 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b675160338 . _:b674016832 . _:b662810021 . _:b665793538 . _:b662810018 . _:b665793539 . _:b675160954 . _:b662810019 . _:b674016259 _:b674016261 . _:b665459068 . _:b662810025 . _:b675160955 . _:b665793536 . _:b674016439 . _:b665794045 . _:b665793537 . _:b675160948 . _:b663276315 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665793900 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b662810029 . _:b665793542 . _:b665176448 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . . _:b675160958 . _:b674016265 _:b674016268 . _:b665793543 . _:b678849579 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665793540 . _:b675160959 . _:b674016261 _:b674016260 . _:b675160347 . _:b665795788 . _:b665793541 . _:b674016263 _:b674016262 . _:b662810001 . _:b665793546 . _:b665857402 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b675160953 . _:b674016267 _:b674016266 . _:b675160345 . _:b665793547 . _:b674016264 _:b674016258 . _:b674348650 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665793544 . _:b675160351 . _:b662810002 . _:b665176400 . _:b665793545 . _:b674016264 _:b674016263 . _:b665793550 . _:b675160949 . _:b674016257 _:b674016264 . _:b674016268 _:b674016267 . _:b665793551 . _:b675160950 . _:b662810013 . _:b665793548 . _:b662810011 . _:b675160323 . _:b665793549 . _:b675160936 . _:b665176404 . _:b675160928 . _:b665793554 . _:b675160321 . _:b674016258 _:b674016259 . _:b665793555 . _:b668378690 . _:b665793552 . _:b675160939 . _:b665793517 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b675160327 . _:b662810012 . _:b675160940 . _:b665176408 . _:b665793553 . _:b662809637 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665793558 . _:b675160941 . _:b665793559 . _:b675160942 . _:b665857409 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665793556 . _:b675160943 . _:b675160935 . _:b665793557 . _:b668378975 "per discussion with Barry Smith" . _:b665793562 . _:b675160929 . _:b665793563 . _:b665176414 . _:b665793560 . _:b665793561 . _:b675160932 . _:b665176384 . _:b675160334 . _:b665793566 . _:b675160933 . _:b665176385 . _:b665793567 . _:b675160934 . _:b665793564 . _:b665793565 . _:b675160920 . _:b662809999 . _:b675160921 . _:b674016471 _:b674016470 . _:b665793570 . _:b675160369 . _:b662809998 . _:b665793571 . _:b674016473 _:b674016477 . _:b665793568 . _:b675160923 . _:b668379042 "per discussion with Barry Smith" . _:b665793569 . _:b665970786 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665793574 . _:b675160373 . _:b665176382 . _:b665793575 . _:b675160926 . _:b665176383 . _:b665793572 . _:b675160927 . _:b662810102 . _:b675160912 . _:b665793573 . _:b674016452 _:b674016453 . _:b665793578 . _:b675160913 . _:b665176397 . _:b674016477 _:b674016476 . _:b665459313 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665793579 . _:b675160914 . _:b665176398 . _:b675160922 . _:b674016478 _:b674016482 . _:b665793576 . _:b675160915 . _:b674016459 _:b674016460 . _:b665176399 . _:b674016477 _:b674016474 . _:b662810100 . _:b675160916 . _:b665176467 . _:b665793577 . _:b674016476 _:b674016475 . _:b665793582 . _:b675160917 . _:b665176466 . _:b674016747 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b674016469 _:b674016472 . _:b665793583 . _:b675160918 . _:b665176465 . _:b665793580 . _:b675160919 . _:b675160355 . _:b668379040 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b662810110 . _:b675160904 . _:b665793581 . _:b674016472 _:b674016471 . _:b675160896 . _:b665459082 . _:b665793586 . _:b674016449 _:b674016448 . _:b674016450 _:b674016449 . _:b674016460 _:b674016463 . _:b665793587 . _:b675160906 . _:b662810105 . _:b665793584 . _:b665459365 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665793585 . _:b665970813 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665793590 . _:b675160909 . _:b665970752 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665459073 . _:b665793591 . _:b675160910 . _:b662810085 . _:b675160911 . _:b665793588 . _:b665459075 . _:b665793589 . _:b674016455 _:b674016454 . _:b665793594 . _:b674016453 _:b674016456 . _:b675160905 . _:b674016544 . _:b675160361 . _:b665459077 . _:b662810080 . _:b665793595 . _:b665795240 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665459076 . _:b665793592 . _:b662810082 . _:b665793593 . _:b674016456 _:b674016455 . _:b674348568 . _:b675160366 . _:b665459078 . _:b674348575 . _:b665793598 . _:b674016462 _:b674016461 . _:b674348572 . _:b665793599 . _:b668716618 . _:b662810093 . _:b675160903 . _:b674016463 _:b674016462 . _:b665793596 . _:b665793597 . _:b674348570 . _:b674348572 . _:b675160429 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665793730 . _:b674016370 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b674348575 . _:b674348568 . _:b665793731 . _:b663276358 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b675160528 . _:b674016499 _:b674016503 . _:b665793728 . _:b675161011 . _:b665793729 . _:b662810091 . _:b665793734 . _:b665793735 . _:b662810069 . _:b665793732 . _:b665793733 . _:b675160538 . _:b668716611 . _:b674016494 _:b674016495 . _:b662810071 . _:b674016503 _:b674016502 . _:b665793738 . _:b662810065 . _:b665793739 . _:b665795544 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665793736 . _:b674016502 _:b674016501 . _:b665793737 . _:b675161012 . _:b674016503 _:b674016500 . _:b662810067 . _:b665793742 . _:b674348591 . _:b662810074 . _:b665793743 . _:b662810076 . _:b674348586 . _:b674348589 . _:b665793740 . _:b675161015 . _:b675161016 . _:b674348589 . _:b665176452 . _:b674348586 . _:b662810078 . _:b675161000 . _:b668716632 . _:b665793741 . _:b665176453 . _:b662810073 . _:b675161001 . _:b665793746 . _:b665857401 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665176454 . _:b674016873 . _:b665793747 . _:b675161002 . _:b674348584 . _:b665793744 . _:b675161003 . _:b674016540 . _:b674348582 . _:b665793745 . _:b675161004 . _:b665793750 . _:b665793416 . _:b674348579 . _:b674016482 _:b674016479 . _:b665793751 . _:b675161006 . _:b668716625 . _:b665793748 . _:b675161007 . _:b665459308 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b662810054 . _:b675160992 . _:b665793749 . _:b674348579 . _:b665793754 . _:b675160993 . _:b674016481 _:b674016480 . _:b675161058 . _:b674016482 _:b674016481 . _:b674016522 . _:b665793755 . _:b675160994 . _:b674348582 . _:b675160520 . _:b665793752 . _:b675160995 . _:b674348577 . _:b662810050 . _:b675160996 . _:b665176448 . _:b665793753 . _:b665793758 . _:b675160997 . _:b675161005 . _:b675160525 . _:b662810060 . _:b675160998 . _:b665793759 . _:b665459160 . _:b665793756 . _:b675160999 . _:b674016520 . _:b665793757 . _:b675160984 . _:b674016542 . _:b665793762 . _:b675160985 . _:b674016522 . _:b675160561 . _:b663277646 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b675160986 . _:b665793763 . _:b674016523 . _:b665793760 . _:b675160987 . _:b674016524 . _:b674348593 . _:b662810058 . _:b675160988 . _:b665793761 . _:b674016525 . _:b665793766 . _:b675160989 . _:b674016526 . _:b665459153 . _:b665793767 . _:b675160990 . _:b674016527 . _:b665793764 . _:b675160991 . _:b674016399 _:b674016408 . _:b674016512 . _:b665793765 . _:b675160976 . _:b674016513 . _:b662809725 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b674348330 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665793770 . _:b665793771 . _:b674016412 _:b674016413 . _:b674016515 . _:b675160568 . _:b674348593 . _:b662809742 . _:b675160979 . _:b674016393 _:b674016392 . _:b665793768 . _:b662809655 . _:b674016391 _:b674016394 . _:b674016516 . _:b674016394 _:b674016393 . _:b662809741 . _:b675160980 . _:b665793769 . _:b674016517 . _:b665793774 . _:b675160981 . _:b662810117 . _:b674016518 . _:b662809654 . _:b665793775 . _:b675160982 . _:b674016519 . _:b662809661 . _:b675160983 . _:b665793772 . _:b662809652 . _:b665793773 . _:b675160968 . _:b668716643 . _:b662809653 . _:b665793778 . _:b675160969 . _:b674016407 _:b674016406 . _:b662809650 . _:b662809656 . _:b675160970 . _:b665793779 . _:b665795272 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b662809651 . _:b674016406 _:b674016405 . _:b665793776 . _:b675160971 . _:b674016404 _:b674016403 . _:b674016405 _:b674016404 . _:b662809660 . _:b675160972 . _:b665793777 . _:b665793849 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b662809649 . _:b674016411 _:b674016415 . _:b665793782 . _:b675160973 . _:b674016402 _:b674016401 . _:b665793783 . _:b674016403 _:b674016402 . _:b665793780 . _:b675160975 . _:b675160555 . _:b662809632 . _:b675160960 . _:b665793781 . _:b674016401 _:b674016400 . _:b665793786 . _:b675160961 . _:b674016414 _:b674016412 . _:b665857378 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665793787 . _:b675160962 . _:b662809633 . _:b675160963 . _:b674016415 _:b674016414 . _:b665793784 . _:b665793785 . _:b675160964 . _:b665793790 . _:b675160965 . _:b662809642 . _:b675160966 . _:b665793791 . _:b662809644 . _:b675160974 . _:b662809643 . _:b675160967 . _:b665793788 . _:b665459474 . _:b665793789 . _:b674016408 _:b674016407 . _:b665793666 . _:b674016421 _:b674016427 . _:b674016447 _:b674016450 . _:b665793465 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665793667 . _:b674016425 _:b674016424 . _:b665793664 . _:b674016620 . _:b674016426 _:b674016425 . _:b665793665 . _:b674016427 _:b674016426 . _:b674016424 _:b674016423 . _:b674016621 . _:b674016446 _:b674016447 . _:b665793670 . _:b665793671 . _:b665971121 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665793668 . _:b674016416 _:b674016420 . _:b674016521 . _:b665793669 . _:b674016220 . _:b665793674 . _:b665793675 . _:b665793672 . _:b674016419 _:b674016417 . _:b665793673 . _:b665793678 . _:b674016423 _:b674016422 . _:b663276434 . _:b665793679 . _:b674016430 _:b674016433 . _:b674016585 . _:b665793676 . _:b674016420 _:b674016419 . _:b674016752 . _:b662809630 . _:b665793677 . _:b665793485 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665793682 . _:b674016586 . _:b665793683 . _:b674016514 . _:b665793680 . _:b665793681 . _:b662809629 . _:b674348650 . _:b665793686 . _:b665793687 . _:b665793684 . _:b665793685 . _:b674348649 . _:b662809680 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665793690 . _:b665793691 . _:b665793688 . _:b674016432 _:b674016431 . _:b665793689 . _:b674016417 _:b674016418 . _:b665793694 . _:b665793695 . _:b665793692 . _:b678850147 . _:b674016598 . _:b675160499 . _:b665793693 . _:b674016433 _:b674016432 . _:b665793698 . _:b662810040 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665793699 . _:b665793696 . _:b665176892 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665793697 . _:b665793702 . _:b662809716 . _:b665793703 . _:b665793700 . _:b668716653 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665793701 . _:b668716654 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b675160506 . _:b665793706 . _:b665793707 . _:b662809713 . _:b665793704 . _:b665795674 . _:b674016602 . _:b665793705 . _:b665793710 . _:b662809724 . _:b665793711 . _:b665795679 . _:b665793708 . _:b668716718 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665793709 . _:b674016739 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665793714 . _:b678849703 . _:b665793715 . _:b674016885 . _:b665793712 . _:b663277647 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b662809722 . _:b665793713 . _:b665793718 . _:b662809700 . _:b665793719 . _:b675161025 . _:b665793716 . _:b662809696 . _:b665793717 . _:b662809702 . _:b665176410 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665795653 . _:b668378671 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665793722 . _:b665793723 . _:b665793720 . _:b662809698 . _:b665793721 . _:b665793726 . _:b665793727 . _:b662809709 . _:b665793724 . _:b662809704 . _:b675160632 . _:b665793725 . _:b662809705 . _:b675160633 . _:b665793858 . _:b662809711 . _:b665795660 . _:b665793859 . _:b675160634 . _:b665793856 . _:b675160635 . _:b665176458 . _:b665793857 . _:b665176459 . _:b674348730 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b662809707 . _:b675160637 . _:b665793862 . _:b665793863 . _:b675160638 . _:b675160689 . _:b665176457 . _:b662809685 . _:b665793860 . _:b665857356 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665793861 . _:b675160624 . _:b665793866 . _:b675160625 . _:b665176460 . _:b665793867 . _:b675160626 . _:b662809681 . _:b675160627 . _:b665793864 . _:b665793865 . _:b675160628 . _:b675160636 . _:b665793870 . _:b675160629 . _:b665793871 . _:b675160630 . _:b665793868 . _:b675160631 . _:b665793869 . _:b675160616 . _:b665795709 . _:b665793874 . _:b675160617 . _:b665793875 . _:b675160618 . _:b662809689 . _:b675160619 . _:b665793872 . _:b665795682 . _:b665793873 . _:b675160620 . _:b674016875 . _:b662809691 . _:b675160621 . _:b665793878 . _:b665793879 . _:b675160622 . _:b665793876 . _:b675160623 . _:b665793877 . _:b665793882 . _:b665793883 . _:b675160610 . _:b665793880 . _:b675160611 . _:b665793881 . _:b675160612 . _:b662809667 . _:b675160613 . _:b665793886 . _:b665793887 . _:b675160614 . _:b665793884 . _:b675160615 . _:b665793885 . _:b675160600 . _:b665793890 . _:b675160601 . _:b674016650 . _:b665795692 . _:b665793891 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b675160602 . _:b665793891 . . _:b665793888 . _:b675160603 . _:b662809674 . _:b675160604 . _:b665793889 . _:b665793894 . _:b665793895 . _:b675160606 . _:b665458911 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665793892 . _:b675160607 . _:b674016640 . _:b665793893 . _:b675160592 . _:b665970757 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665793898 . _:b675160593 . _:b663277706 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665793899 . _:b675160594 . _:b665793896 . _:b675160595 . _:b665856995 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665793897 . _:b675160596 . _:b665793902 . _:b675160597 . _:b674016623 . _:b675160605 . _:b665793903 . _:b675160598 . _:b665793900 . _:b675160599 . _:b665793901 . _:b665793906 . _:b675160585 . _:b665793907 . _:b675160586 . _:b665793904 . _:b675160579 . _:b665793905 . . _:b675160589 . _:b665793910 . _:b665793911 . _:b675160590 . _:b674016761 . _:b665793908 . _:b675160591 . _:b665793909 . _:b675160584 . _:b665793914 . _:b665793915 . _:b665793912 . _:b665793913 . _:b675160580 . _:b665793918 . _:b675160581 . _:b665970779 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665793919 . _:b665793916 . _:b665793917 . _:b665793794 . _:b665793795 . _:b665793792 . _:b665793793 . _:b678849548 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665793798 . _:b662809748 . _:b665793799 . _:b675160694 . _:b665793796 . _:b675160695 . _:b665856980 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b668716272 . _:b665793797 . _:b665793802 . _:b662809744 . _:b665793803 . _:b662809643 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674016891 . _:b665793800 . _:b662809746 . _:b665793801 . _:b665793806 . _:b665176462 . _:b675160701 . _:b665793807 . _:b665176461 . _:b675160702 . _:b665793804 . _:b665176461 . _:b665793805 . _:b662809825 . _:b665793810 . _:b665793811 . _:b665793808 . _:b665176457 . _:b674016778 . _:b665793809 . _:b662810124 . _:b665793814 . _:b662810127 . _:b665793815 . _:b665176452 . _:b662809733 . _:b665793812 . _:b662809731 . _:b665793813 . _:b665793818 . _:b674348340 . _:b665793819 . _:b665793816 . _:b674348342 . _:b674016638 . _:b665793817 . _:b665793822 . _:b674348336 . _:b665793823 . _:b662809741 . _:b665793820 . "William Hogan"@en . _:b665793821 . _:b662810168 . _:b668716294 . _:b665793826 . _:b662809736 . _:b665176456 . _:b665793827 . _:b674348347 . _:b674348349 . _:b662809743 . _:b665793824 . _:b665122361 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665793825 . _:b662810172 . _:b674348351 . _:b665795793 . _:b665459000 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665176455 . _:b665793830 . _:b662809673 . _:b665793831 . _:b662809672 . _:b665793828 . _:b675160656 . _:b662809675 . _:b665795798 . _:b665793829 . _:b662809674 . _:b665793834 . _:b662810163 . _:b662809677 . _:b675160779 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665793835 . _:b674348325 . _:b662809676 . _:b665793832 . _:b662810165 . _:b665795802 . _:b665793833 . _:b662809678 . _:b665793838 . _:b662810167 . _:b668378617 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665793839 . _:b662810166 . _:b665793836 . _:b674016806 . _:b665793837 . _:b675160647 . _:b665793842 . _:b674348716 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665857435 . _:b674348332 . _:b662809669 . _:b665793843 . _:b675160642 . _:b665794027 "1"^^ . _:b665793840 . _:b662810157 . _:b662809671 . _:b665794026 "1"^^ . _:b665793841 . _:b665857438 . _:b665176428 . _:b662809670 . _:b665793846 . _:b665176429 . _:b662809689 . _:b665793847 . _:b665857436 . _:b665176430 . _:b662810158 . _:b665795231 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665857437 . _:b665793844 . _:b678849759 . _:b665793845 . _:b662809690 . _:b665793850 . _:b674348306 . _:b665794028 "1"^^ . _:b665793851 . _:b665176426 . _:b665794019 "1"^^ . _:b665793848 . _:b675160762 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b675160643 . _:b665176417 . _:b665176427 . _:b665459321 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665793849 . _:b665793854 . _:b665793855 . _:b675160646 . _:b674016467 . _:b674348311 . _:b665793852 . _:b665793853 . _:b674348307 . _:b665793986 . _:b662810227 . _:b665794020 "1"^^ . _:b665793987 . _:b665176440 . _:b665795827 . _:b665793984 . _:b674348318 . _:b665793985 . _:b665795825 . _:b665793990 . _:b674348312 . _:b665458929 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665793991 . _:b665176436 . _:b665793988 . _:b674348304 . _:b665793989 . _:b674348305 . _:b665794013 "1"^^ . _:b665793994 . _:b674348302 . _:b665793995 . _:b674348303 . _:b662809709 . _:b674348300 . _:b665793992 . _:b665795834 . _:b662809710 . _:b675160756 . _:b674348301 . _:b665793993 . _:b674348295 . _:b665176848 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665793998 . _:b674348294 . _:b665795832 . _:b665793999 . _:b665795839 . _:b665794007 "1"^^ . _:b665793996 . . _:b665793997 . _:b665459492 . _:b674348293 . _:b674016281 . _:b665794002 . _:b665176436 . _:b665794003 . _:b675160746 . _:b665795811 . _:b665176437 . _:b665794000 . _:b665794001 . _:b665176422 . _:b675160740 . _:b665176830 . _:b665794006 . _:b665176428 . _:b665176423 . _:b665176829 . _:b665794007 . _:b662809720 . _:b665176828 . _:b665794004 . _:b662809721 . _:b662809722 . _:b665176827 . _:b665794005 . _:b662809723 . _:b665794010 . _:b675160737 . _:b665794011 . _:b665794008 . _:b662810217 . _:b665795818 . _:b665794009 . _:b674016764 . _:b665794014 . _:b675160741 . _:b674016767 . _:b668716481 . _:b665794015 . _:b662810220 . _:b665794012 . _:b665794013 . . _:b665794018 . _:b675160729 . _:b665795820 . _:b665794019 . _:b675160722 . _:b665794016 . _:b665795730 . _:b668716781 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665794017 . _:b665857357 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b662809718 . _:b665794022 . _:b675160733 . _:b662809719 . _:b665794023 . _:b674016271 . _:b665794020 . _:b674016441 . _:b665794021 . _:b675160728 . _:b665794026 . _:b668716771 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665794027 . _:b674016372 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665794024 . _:b675160723 . _:b665176401 . _:b665176369 . _:b665794025 . _:b675160732 . _:b665176368 . _:b665794030 . _:b674348384 . _:b665795736 . _:b674016444 . _:b665794031 . _:b675160726 . _:b675160734 . _:b665176370 . _:b662809671 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b675160727 . _:b665794028 . _:b665794029 . _:b675160712 . _:b674016808 . _:b674348387 . _:b665795741 . _:b665794034 . _:b674348394 . _:b675160705 . _:b665458893 . _:b665458976 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665794035 . _:b674348397 . _:b675160706 . _:b665795715 . _:b665794032 . _:b665794033 . _:b674348399 . _:b665794038 . _:b674348392 . _:b666092787 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665794039 . _:b665794036 . _:b675160719 . _:b665857440 . _:b675160711 . _:b665794037 . _:b674348395 . _:b674016277 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665794042 . _:b675160713 . _:b665794043 . _:b674348373 . _:b665794040 . _:b665795722 . _:b665794041 . _:b665857414 . _:b674348375 . _:b674016461 . _:b665794046 . _:b665857415 . _:b665794047 . _:b675160718 . _:b665793958 "1"^^ . _:b665794044 . _:b665793959 "1"^^ . _:b665794045 . _:b665795222 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665793922 . _:b662810006 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b668379059 . _:b665793923 . _:b674016450 . _:b665793920 . _:b665795762 . _:b665793921 . _:b665793926 . _:b674348382 . _:b665793927 . _:b668716440 . _:b665793924 . _:b665176365 . _:b665793925 . _:b665176364 . _:b674016456 . _:b665793930 . _:b665176371 . _:b665176367 . _:b665793931 . _:b674348355 . _:b665176366 . _:b665793928 . _:b674348358 . _:b665176425 . _:b665793929 . _:b665857434 . _:b665857408 . _:b665176424 . _:b665857418 . _:b665793934 . _:b674016892 . _:b674016463 . _:b665793935 . _:b674348353 . _:b665793932 . _:b665857433 . _:b674348356 . _:b668716439 . _:b665176409 . _:b665793933 . _:b665857414 . _:b665176408 . _:b665793938 . _:b662810021 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b674348364 . _:b665793939 . _:b662810250 . _:b665176410 . _:b665793936 . _:b663277933 . _:b665793937 . _:b662809730 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b674348367 . _:b665793942 . _:b674348360 . _:b665176407 . _:b665793943 . _:b665459370 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665793940 . _:b674348362 . _:b665793941 . _:b665857439 . _:b668716407 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665793946 . _:b662810243 . _:b665857439 . _:b665793947 . _:b675160410 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665793944 . _:b666093267 . _:b665793945 . _:b665793950 . _:b665857435 . _:b665793951 . _:b665793948 . _:b665795175 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b666093268 . _:b665793949 . _:b665857430 . _:b666093269 . _:b663277947 . _:b665793954 . _:b665793955 . _:b665793952 . _:b665971182 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665793953 . _:b665793958 . _:b665793959 . _:b665793956 . _:b665793957 . _:b665793962 . _:b665793963 . _:b665793960 . _:b665857342 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674348937 . _:b665176919 . _:b665793961 . _:b663277940 . _:b665176918 . _:b665793966 . _:b665176917 . _:b665793967 . _:b674348941 . _:b665793964 . _:b674016440 . _:b674348941 . _:b665793965 . _:b674016441 . _:b665793970 . _:b674348939 . _:b674016442 . _:b665176913 . _:b665176937 . _:b665793971 . _:b665176936 . _:b674348937 . _:b665793968 . _:b665795173 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665176927 . _:b663277952 . _:b665793969 . _:b665793974 . _:b665857379 . _:b665793975 . _:b665176924 . _:b665793972 . _:b674016949 . _:b674016948 . _:b674348361 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665793973 . _:b674016951 . _:b665176922 . _:b674348329 . _:b665793978 . _:b674016950 . _:b674348328 . _:b665793979 . _:b674016435 . _:b678849784 . _:b665793976 . _:b678850107 . _:b674348958 . _:b665793977 . _:b674016947 . _:b665176902 . _:b665793982 . _:b674016944 . _:b665970723 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b674348955 . _:b674016946 . _:b665793983 . _:b665176900 . _:b674016941 . _:b665793980 . _:b665793981 . _:b665857404 . _:b665176898 . _:b674348955 . _:b674348321 . _:b674016943 . _:b674016940 . _:b665857405 . _:b674348320 . _:b674016942 . _:b665857406 . _:b674348958 . _:b674016504 . _:b674348323 . _:b674348953 . _:b665857407 . _:b665176911 . _:b674348322 . _:b674016936 . _:b674348944 . _:b665176910 . _:b674348951 . _:b674348325 . _:b674016939 . _:b665857395 . _:b665458938 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b674348324 . _:b674348948 . _:b674016937 . _:b674348327 . _:b665176907 . _:b674348326 . _:b674016932 . _:b674348946 . _:b674348948 . _:b674016935 . _:b674348951 . _:b665176905 . _:b674348944 . _:b674016934 . _:b674016933 . _:b674016929 . _:b674016418 . _:b674016930 . _:b674016928 . _:b674016269 . _:b674016417 . _:b674016925 . _:b674016926 . _:b674016409 . _:b674016927 . _:b674016412 . _:b674016410 . _:b674016413 . _:b663276505 . _:b665857349 . _:b665795238 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b674348341 . _:b665459352 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b674348340 . _:b666093198 . _:b674348962 . _:b665857345 . _:b674348962 . _:b665857344 . _:b665176641 . _:b674348360 . _:b665857347 . _:b666093201 . _:b674348361 . _:b674348960 . _:b665857346 . _:b668379054 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674016741 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b666093200 . _:b666093187 . _:b665176935 . _:b666093203 . _:b665857348 . _:b674016307 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b666093186 . _:b674348342 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665857400 . _:b665176932 . _:b663276466 . _:b665857401 . _:b666093224 . _:b665176930 . _:b665176928 . _:b674016225 . _:b665857406 . _:b674016392 . _:b674016903 _:b674016902 . _:b674016905 _:b674016908 . _:b674016910 _:b674016918 . _:b674016902 _:b674016901 . _:b674016402 . _:b674016903 _:b674016900 . _:b674016907 _:b674016906 . _:b665176937 . _:b668378691 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b674016400 . _:b665176855 . _:b674016904 _:b674016903 . _:b665176854 . _:b674016908 _:b674016907 . _:b665176838 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b674016899 _:b674016904 . _:b666093221 . _:b674016504 . _:b668716663 . _:b666093222 . _:b674016505 . _:b666093220 . _:b666093223 . _:b674016506 . _:b665176849 . _:b674016912 _:b674016911 . _:b674016507 . _:b674348369 . _:b665176848 . _:b674016918 _:b674016917 . _:b674016916 _:b674016915 . _:b674016508 . _:b674348370 . _:b674016917 _:b674016916 . _:b665176863 . _:b666093202 . _:b666093204 . _:b674348371 . _:b674016509 . _:b665176862 . _:b668716412 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b666093205 . _:b674016510 . _:b674348372 . _:b665857343 . _:b674348373 . _:b674016914 _:b674016913 . _:b665176861 . _:b674016915 _:b674016914 . _:b674016511 . _:b665857342 . _:b674348374 . _:b665176860 . _:b674016927 _:b674016928 . _:b665176859 . _:b665122352 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b668716402 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b674016913 _:b674016912 . _:b665176858 . _:b665857388 . _:b666093219 . _:b674016925 _:b674016927 . _:b665176856 . _:b674348393 . _:b665857385 . _:b674348392 . _:b674016925 _:b674016926 . _:b665176838 . _:b665176837 . _:b665857387 . _:b674016921 _:b674016920 . . _:b665857386 . _:b662809881 . _:b668716274 . _:b674016922 _:b674016921 . _:b674016880 . _:b674016923 _:b674016922 . _:b665795542 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674016919 _:b674016923 . _:b674016939 _:b674016940 . _:b662809652 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b675160808 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b674016943 _:b674016944 . _:b674016492 . _:b663276388 "1"^^ . _:b674016939 _:b674016941 . _:b674016936 _:b674016937 . _:b663276389 "1"^^ . _:b674016493 . _:b674016494 . _:b665458951 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665176844 . _:b665176843 . _:b666093228 . _:b674016941 _:b674016942 . _:b665176842 . _:b674016395 . _:b674016929 _:b674016930 . _:b665971186 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b662809874 . _:b674016664 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b662810112 "requested by Melanie Courtot" . _:b665176887 . _:b678849841 . _:b674016932 _:b674016933 . _:b674016398 . _:b668379124 . _:b665795241 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665176884 . _:b665176883 . _:b674016934 _:b674016935 . _:b674016932 _:b674016934 . _:b665176880 . _:b665176893 . _:b668716284 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668716285 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665176891 . _:b674016443 . _:b674016948 _:b674016949 . _:b665793916 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665857403 . _:b665176889 . _:b665857402 . _:b674016950 _:b674016951 . _:b665176870 . _:b665793776 . _:b674016383 . _:b674016946 _:b674016948 . _:b674016946 _:b674016947 . _:b674016434 . _:b674016437 . _:b665795188 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b674016461 . _:b674016436 . _:b665176878 . _:b665176857 . _:b668716776 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b674016439 . _:b665176877 . _:b665176858 . _:b674016438 . _:b674016448 . _:b665176874 . _:b674016834 . _:b665176873 . _:b674016429 . _:b674016428 . _:b674016454 . _:b678849778 . _:b674016872 _:b674016869 . _:b674016868 _:b674016872 . _:b674016872 _:b674016871 . _:b665795374 . _:b665970789 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b668716582 . _:b674016871 _:b674016870 . _:b662810099 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b678849932 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b674016851 _:b674016850 . _:b674016851 _:b674016848 . _:b668378685 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674016850 _:b674016849 . _:b663276264 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b674016676 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b675160642 . _:b666093329 . _:b674016832 _:b674016831 . _:b675160643 . _:b675160640 . _:b675160641 . _:b668716924 . _:b675160646 . _:b675160647 . _:b675160644 . _:b665971092 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b675160645 . _:b675160650 . _:b674016847 _:b674016851 . _:b674016863 _:b674016864 . _:b675160651 . _:b674016842 _:b674016846 . _:b675160648 . _:b668716944 . _:b675160649 . _:b675160654 . _:b674016841 _:b674016840 . _:b675160655 . _:b678849878 . _:b675160652 . _:b674016840 _:b674016839 . _:b675160653 . _:b674016838 _:b674016841 . _:b675160658 . _:b675160659 . _:b674016846 _:b674016843 . _:b675160656 . _:b674016845 _:b674016844 . _:b675160657 . _:b674016846 _:b674016845 . _:b675160662 . _:b666093344 . _:b674016828 _:b674016829 . _:b675160663 . _:b674016829 _:b674016832 . _:b675160660 . _:b675160661 . _:b662809983 . _:b675160494 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665793480 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b675160666 . _:b674016506 . _:b666093346 . _:b675160667 . _:b668378606 "per discussion with Barry Smith" . _:b675160664 . _:b666093343 . _:b666093340 . _:b675160665 . _:b674016801 _:b674016800 . _:b666093342 . _:b675160670 . _:b666093345 . _:b674016802 _:b674016801 . _:b674016587 . _:b678849881 . _:b678849866 . _:b665857428 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b675160671 . _:b665971148 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b674016821 _:b674016822 . _:b675160668 . _:b675160669 . _:b674016584 . _:b675160674 . _:b675160675 . _:b666093349 . _:b675160672 . _:b666093350 . _:b678850154 . _:b675160673 . _:b666093348 . _:b666093351 . _:b675160678 . _:b674016815 _:b674016816 . _:b674016831 _:b674016830 . _:b675160679 . _:b675160676 . _:b675160677 . _:b674016816 _:b674016819 . _:b678849887 . _:b675160682 . _:b674016824 _:b674016823 . _:b663277954 . _:b674016825 _:b674016824 . _:b675160683 . _:b675160680 . _:b674016822 _:b674016825 . _:b675160681 . _:b666092707 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b675160686 . _:b675160687 . _:b675160684 . _:b668378619 "per discussion with Barry Smith" . _:b675160685 . _:b668379134 . _:b675160690 . _:b674016819 _:b674016818 . _:b675160691 . _:b675160688 . _:b674016742 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b674016818 _:b674016817 . _:b675160689 . _:b675160694 . _:b674016770 _:b674016769 . _:b674016771 _:b674016770 . _:b675160695 . _:b675160692 . _:b665793867 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b675160693 . _:b663277938 . _:b674016775 _:b674016774 . _:b675160698 . _:b674016786 _:b674016787 . _:b674348320 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b675160699 . _:b674016774 _:b674016773 . _:b674016772 _:b674016771 . _:b674016773 _:b674016772 . _:b675160696 . _:b674016780 _:b674016784 . _:b675160697 . _:b675160702 . _:b674016777 _:b674016776 . _:b675160703 . _:b674016641 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b663277945 . _:b675160700 . _:b674016776 _:b674016775 . _:b675160701 . _:b675160578 . _:b674016783 _:b674016781 . _:b675160579 . _:b674016768 _:b674016777 . _:b665793531 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b675160576 . _:b675160577 . _:b675160582 . _:b674016784 _:b674016783 . . _:b675160583 . _:b674016788 _:b674016786 . _:b674016789 _:b674016788 . _:b675160580 . _:b675160581 . _:b675160586 . _:b675160587 . _:b662810117 . _:b665970817 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b675160584 . _:b668716757 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b662810112 . _:b675160585 . _:b674016796 _:b674016795 . _:b674016799 _:b674016802 . _:b675160590 . _:b668378986 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b675160591 . _:b662810113 . _:b675160588 . _:b674016785 _:b674016789 . _:b675160589 . _:b662810115 . _:b665970671 . _:b674016781 _:b674016782 . _:b675160594 . _:b665795588 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665970670 . _:b674016793 _:b674016792 . _:b675160595 . _:b665970669 . _:b674016295 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b675160592 . _:b674016790 _:b674016796 . _:b674016794 _:b674016793 . _:b674016795 _:b674016794 . _:b674016792 _:b674016791 . _:b675160593 . _:b675160598 . _:b675160599 . _:b668716920 . _:b675160596 . _:b668379261 _:b668379262 . _:b675160597 . _:b675160602 . _:b675160603 . _:b675160600 . _:b665857033 . _:b668716379 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b674016524 . _:b675160601 . _:b675160606 . _:b668379261 _:b668379266 . _:b675160607 . _:b665857034 . _:b675160604 . _:b675160605 . _:b665970687 . _:b675160610 . _:b665970686 . _:b675160611 . _:b665970685 . _:b663277720 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b675160608 . _:b665970684 . _:b675160609 . _:b665176873 . _:b665970683 . _:b675160614 . _:b665176872 . _:b665970682 . _:b675160615 . _:b665970681 . _:b675160612 . _:b665458943 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665176874 . _:b665970680 . _:b675160613 . _:b665795557 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665970679 . _:b675160618 . _:b665970678 . _:b663276458 "1"^^ . _:b675160619 . _:b665970677 . _:b663276457 "1"^^ . _:b675160616 . _:b665970951 . _:b665970676 . _:b663276456 "1"^^ . _:b675160617 . _:b665970675 . _:b675160622 . _:b665970674 . _:b675160623 . _:b665970673 . _:b675160620 . _:b665970672 . _:b675160621 . _:b675160626 . _:b663276450 "1"^^ . _:b675160627 . _:b665176871 . _:b663276449 "1"^^ . _:b675160624 . _:b674348369 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b675160625 . _:b665971048 . _:b665458995 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b675160630 . _:b678850128 . _:b675160631 . _:b675160628 . _:b675160629 . _:b663276443 "1"^^ . _:b675160634 . _:b675160635 . _:b663276279 . _:b675160632 . _:b675160633 . _:b675160638 . _:b674016617 . _:b675160639 . _:b665795609 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b675160636 . _:b675160637 . _:b675160770 . _:b663276272 . _:b675160771 . _:b665176424 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b675160768 . _:b663276286 . _:b675160769 . _:b663276285 . _:b665970989 . _:b675160774 . _:b663276284 . _:b675160775 . _:b665856988 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b663276437 "1"^^ . _:b675160772 . _:b675160773 . _:b675160778 . _:b663276280 . _:b675160779 . _:b675160776 . _:b665970983 . _:b675160777 . _:b665970982 . _:b665176446 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b675160782 . _:b665459016 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665970800 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b675160783 . _:b675160780 . _:b675160781 . _:b675160786 . _:b675160787 . _:b663276271 . _:b668716575 . _:b675160784 . _:b663276270 . _:b665857066 . _:b675160785 . _:b665857436 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b663276269 . _:b665857067 . _:b674348284 . _:b675160790 . _:b678849966 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b674348283 . _:b662810035 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b675160791 . _:b674348280 . _:b675160788 . _:b674348389 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b675160789 . _:b675160794 . _:b674016646 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665857068 . _:b665459122 . _:b674348281 . _:b675160795 . _:b668716388 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665459360 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665857069 . _:b675160792 . _:b665857071 . _:b665857070 . _:b675160793 . _:b665176897 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665857070 . _:b675160798 . _:b675160799 . _:b675160796 . _:b665857046 . _:b665857066 . _:b675160797 . _:b675160802 . _:b665857032 . _:b675160803 . _:b665857045 . _:b675160800 . _:b665857037 . _:b675160801 . _:b665857031 . _:b675160806 . _:b674016229 . _:b675160807 . _:b674016251 . _:b674016373 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b662809666 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b675160804 . _:b674016252 . _:b665857061 . _:b675160805 . _:b675160810 . _:b668379059 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b675160811 . _:b678850072 . _:b674348356 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b675160808 . _:b665459198 . _:b675160809 . _:b675160814 . _:b674016671 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b674348355 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b675160815 . _:b675160812 . _:b675160813 . _:b674016250 . _:b675160818 . _:b665857064 . _:b674016233 . _:b675160819 . _:b665857065 . _:b675160816 . _:b675160817 . "IDs allocated to subdomains of IAO. pno.owl: IAO_0020000-IAO_0020999, d-acts.owl: IAO_0021000-IAO_0021999"^^ . _:b674348245 . _:b675160822 . _:b675160823 . _:b665176316 . _:b675160820 . _:b665176317 . _:b674348246 . _:b675160821 . _:b674016242 . _:b675160826 . _:b678849648 . _:b675160827 . _:b675160824 . _:b675160825 . _:b675160830 . _:b675160831 . _:b675160828 . _:b675160829 . _:b675160706 . _:b665793547 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b675160707 . _:b678849647 . _:b675160704 . _:b665857078 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665857036 . _:b675160705 . _:b665857037 . _:b675160710 . _:b665857038 . _:b675160711 . _:b665857039 . _:b675160708 . _:b665857026 . _:b675160709 . _:b668716809 . _:b675160714 . _:b662809614 . _:b674348246 . _:b668716808 . _:b675160715 . _:b674348245 . _:b665857035 . _:b675160712 . _:b675160713 . _:b665459351 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b675160718 . _:b674016272 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b675160719 . _:b675160716 . _:b675160717 . _:b675160722 . _:b675160723 . _:b674016217 . _:b668378644 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665857049 . _:b675160720 . _:b674016216 . _:b675160721 . _:b665857059 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b675160726 . _:b674016377 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b675160727 . _:b665857045 . _:b675160724 . _:b675160725 . _:b675160730 . _:b665459389 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b675160731 . _:b675160728 . _:b663276374 . _:b663276356 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b675160729 . _:b675160734 . _:b663276372 . _:b675160735 . _:b675160732 . _:b663276370 . _:b668716850 . _:b675160733 . _:b663276369 . _:b675160738 . _:b675160739 . _:b675160736 . _:b675160737 . _:b665176896 . _:b675160742 . _:b675160743 . _:b663276379 . _:b675160740 . _:b675160741 . _:b663276377 . _:b665970741 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b668716778 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b675160746 . _:b662809595 . _:b675160747 . _:b663276359 . _:b662809594 . _:b675160744 . _:b675160745 . _:b665176930 . _:b668378755 . _:b675160750 . _:b665176929 . _:b675160751 . _:b663276355 . _:b665176929 . _:b675160748 . _:b665176877 . _:b675160749 . _:b665971289 . _:b663276353 . _:b665176876 . _:b675160754 . _:b663276352 . _:b675160755 . _:b665176878 . _:b675160752 . _:b663276366 . _:b675160753 . _:b675160758 . _:b665176875 . _:b663276364 . _:b675160759 . _:b665176380 . _:b675160756 . _:b665176381 . _:b675160757 . _:b665971281 . _:b663276361 . _:b665176382 . _:b675160762 . _:b665176904 . _:b663276360 . _:b665176890 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665176383 . _:b675160763 . _:b665176905 . _:b665176376 . _:b675160760 . _:b665176377 . _:b662810114 . _:b675160761 . _:b665176378 . _:b662810113 . _:b675160766 . _:b662810062 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665176379 . _:b662810112 . _:b675160767 . _:b665176372 . _:b675160764 . _:b665176373 . _:b675160765 . _:b665176374 . _:b675160898 . _:b665176924 . _:b665176375 . _:b665176908 . _:b666093328 . _:b675160899 . _:b665176368 . _:b675160896 . _:b665176369 . _:b665176896 . _:b668379282 _:b668379283 . _:b675160897 . _:b668379282 _:b668379287 . _:b665176923 . _:b665176370 . _:b665176897 . _:b675160902 . _:b665176371 . _:b665176898 . _:b665176904 . _:b675160903 . _:b665176364 . _:b675160900 . _:b665176365 . _:b675160901 . _:b665176366 . _:b675160906 . _:b665176367 . _:b675160907 . _:b665176360 . _:b675160904 . _:b668379275 _:b668379280 . _:b665176361 . _:b675160905 . _:b665176362 . _:b675160910 . _:b675160911 . _:b663276379 . _:b665176356 . _:b675160908 . _:b663276378 . _:b665176357 . _:b675160909 . _:b665176358 . _:b675160914 . _:b668379275 _:b668379276 . _:b665176359 . _:b674016254 . _:b675160915 . _:b665176352 . _:b665176925 . _:b665176893 . _:b675160912 . _:b665176892 . _:b675160913 . _:b668379268 _:b668379273 . _:b665176354 . _:b675160918 . _:b665176355 . _:b665176920 . _:b675160919 . _:b668379268 _:b668379269 . _:b675160916 . _:b668716551 . _:b665795646 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b675160917 . _:b675160922 . _:b665176351 . _:b675160923 . _:b675160920 . _:b675160921 . _:b678849849 . _:b665176380 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665857046 . _:b675160926 . _:b675160927 . _:b666092856 . _:b675160924 . _:b666092857 . _:b665971360 . _:b666092849 . _:b665857043 . _:b675160925 . _:b663276305 . _:b675160770 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . "Jie Zheng"@en . _:b675160930 . _:b666092859 . _:b663276304 . _:b665857041 . _:b675160931 . _:b663276319 . _:b678849597 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b675160928 . _:b675160929 . _:b666092862 . _:b665857054 . _:b675160934 . _:b666092863 . _:b663276316 . _:b665176885 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b678849551 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b675160935 . _:b663276315 . _:b668716956 . _:b665857052 . _:b675160932 . _:b668716959 . _:b665857051 . _:b675160933 . _:b666092858 . _:b675160938 . _:b663276312 . _:b675160939 . _:b665857048 . _:b665176869 . _:b675160936 . _:b665176926 . _:b675160937 . _:b665176927 . _:b665857030 . _:b675160942 . _:b675160943 . _:b665176925 . _:b663276291 . _:b666092840 . _:b665857028 . _:b666093378 . _:b675160940 . _:b666092841 . _:b663276290 . _:b675160941 . _:b666093376 . _:b675160946 . _:b665857025 . _:b675160947 . _:b663276303 . _:b665857024 . _:b675160944 . _:b666092845 . _:b663276302 . _:b665857039 . _:b678849790 . _:b675160945 . _:b666092846 . _:b663276301 . _:b665857078 . _:b662809755 . _:b675160950 . _:b663276300 . _:b665857077 . _:b666092839 . _:b675160951 . _:b665176444 . _:b675160948 . _:b663276298 . _:b668378823 . _:b662809743 "requested by Melanie Courtot" . _:b665176445 . _:b675160949 . _:b663276297 . _:b665857034 . _:b665176446 . _:b675160954 . _:b663276296 . _:b665176447 . _:b662809758 . _:b665176894 . _:b675160955 . _:b665857032 . _:b665857125 . _:b666092844 . _:b665176440 . _:b665176895 . _:b665176885 . _:b675160952 . _:b666092837 . _:b663276342 . _:b665176441 . _:b675160953 . _:b666092838 . _:b665857078 . _:b665176442 . _:b675160958 . _:b663276340 . _:b665121912 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665176443 . _:b675160959 . _:b666092824 . _:b665857076 . _:b665176436 . _:b675160956 . _:b666092825 . _:b665176437 . _:b675160957 . _:b666092826 . _:b665176438 . _:b675160834 . _:b665857073 . _:b666092819 . _:b665176439 . _:b668379013 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b675160835 . _:b665176432 . _:b668716951 . _:b675160832 . _:b662809583 . _:b665176433 . _:b675160833 . _:b663276349 . _:b662809582 . _:b665176434 . _:b675160838 . _:b662809581 . _:b663276299 . _:b665176435 . _:b675160839 . _:b663276347 . _:b662809580 . _:b663276300 . _:b665176428 . _:b675160836 . _:b666092817 . _:b662809579 . _:b665176429 . _:b675160837 . _:b666092818 . _:b662809578 . _:b665176430 . _:b665176839 . _:b675160842 . _:b663276344 . _:b666092827 . _:b662809577 . _:b665176431 . _:b675160843 . _:b666092820 . _:b662809576 . _:b665176424 . _:b675160840 . _:b665857067 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b663276326 . _:b665857063 . _:b662809575 . _:b665176425 . _:b675160841 . _:b663276325 . _:b668716641 . _:b665176426 . _:b675160846 . _:b666092823 . _:b665176427 . _:b675160847 . _:b665857060 . _:b665176420 . _:b665176833 . _:b675160844 . _:b663276322 . _:b665857059 . _:b665857179 . _:b665176421 . _:b665176832 . _:b675160845 . _:b665857058 . _:b665176422 . _:b678849689 . _:b665176835 . _:b675160850 . _:b665176928 . _:b663276320 . _:b665176423 . _:b665176834 . _:b675160851 . _:b663276335 . _:b665857182 . _:b665176416 . _:b665176837 . _:b675160848 . _:b665857071 . _:b662809599 . _:b665176417 . _:b665176890 . _:b665176836 . _:b675160849 . _:b663276333 . _:b662809598 . _:b665176418 . _:b662810194 . _:b665176891 . _:b675160854 . _:b665857069 . _:b662809597 . _:b665176419 . _:b665176838 . _:b675160855 . _:b663276331 . _:b665857068 . _:b662809596 . _:b665176412 . _:b662809789 . _:b675160852 . _:b665971352 . _:b662809595 . _:b665793785 . _:b662809788 . _:b665176413 . _:b675160853 . _:b663276329 . _:b662809594 . _:b665176414 . _:b675160858 . _:b665857065 . _:b662809593 . _:b665176415 . _:b675160859 . _:b662809592 . _:b665176408 . _:b675160856 . _:b662809591 . _:b665176409 . _:b675160857 . _:b662809590 . _:b665176410 . _:b675160862 . _:b662809589 . _:b665176411 . _:b675160863 . _:b666092920 . _:b662809588 . _:b665176404 . _:b666093330 . _:b675160860 . _:b666092921 . _:b662809587 . _:b665176405 . _:b675160861 . _:b665176406 . _:b666092922 . _:b662809586 . _:b665176406 . _:b675160866 . _:b665176405 . _:b666092923 . _:b666092816 . _:b662809585 . _:b665176407 . _:b666093335 . _:b675160867 . _:b666092924 . _:b662809584 . _:b665176400 . _:b675160864 . _:b666092925 . _:b665176401 . _:b675160865 . _:b665176402 . _:b666092926 . _:b674016746 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665176402 . _:b665122262 . _:b675160870 . _:b665176403 . _:b666093339 . _:b675160871 . _:b666092912 . _:b665176396 . _:b675160868 . _:b665176415 . _:b666092913 . _:b665176397 . _:b668378724 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665122261 . _:b675160869 . _:b666092914 . _:b665176398 . _:b675160874 . _:b666092915 . _:b665176399 . _:b666093192 . _:b675160875 . _:b668379263 . _:b665176412 . _:b666092916 . _:b665176392 . _:b675160872 . _:b666092917 . _:b665176393 . _:b675160873 . _:b665176410 . _:b666092918 . _:b665176394 . _:b675160878 . _:b665176409 . _:b666092919 . _:b666092927 . _:b665176395 . _:b675160879 . _:b665176388 . _:b668379263 . _:b675160876 . _:b665176391 . _:b666092897 . _:b665176389 . _:b668716555 . _:b675160877 . _:b665176390 . _:b665176390 . _:b675160882 . _:b666092907 . _:b668378770 . _:b665176391 . _:b675160883 . _:b665176388 . _:b666092908 . _:b665176384 . _:b675160880 . _:b665176387 . _:b666092901 . _:b665176385 . _:b675160881 . _:b665176386 . _:b665176386 . _:b675160886 . _:b666092911 . _:b665176387 . _:b675160887 . _:b666092896 . _:b675160884 . _:b665971110 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b675160885 . _:b668716590 . _:b666092906 . _:b675160890 . _:b675160891 . _:b675160888 . _:b665176395 . _:b668716587 . _:b665970897 . _:b675160889 . _:b665176394 . _:b666092902 . _:b675160894 . _:b665176393 . _:b666092903 . _:b668378765 . _:b665857189 . _:b675160895 . _:b665176392 . _:b668378896 . _:b666093362 . _:b675160892 . _:b665176439 . _:b666092889 . _:b666092881 . _:b675160893 . _:b675161026 . _:b665176437 . _:b675161027 . _:b666092892 . _:b675161024 . _:b666092893 . _:b662809647 . _:b675161025 . _:b665176434 . _:b666092894 . _:b665176389 . _:b662809646 . _:b666093364 . _:b662809803 . _:b675161030 . _:b666092895 . _:b665176390 . _:b668378773 . _:b662809645 . _:b666093371 . _:b675161031 . _:b665176432 . _:b666092880 . _:b666092888 . _:b668378772 . _:b662809644 . _:b675161028 . _:b662809643 . _:b666093369 . _:b675161029 . _:b666092882 . _:b662809642 . _:b675161034 . _:b665176445 . _:b662809641 . _:b665795539 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665794133 . _:b678849563 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b675161035 . _:b662809640 . _:b675161032 . _:b665176443 . _:b666092885 . _:b662809639 . _:b675161033 . _:b665176442 . _:b666092886 . _:b662809638 . _:b668378981 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b675161038 . _:b666092887 . _:b662809637 . _:b662809794 . _:b675161039 . _:b666092872 . _:b662809636 . _:b662809797 . _:b675161036 . _:b665176423 . _:b666092873 . _:b662809635 . _:b662809796 . _:b675161037 . _:b666092874 . _:b662809634 . _:b662809799 . _:b675161042 . _:b665176421 . _:b662809633 . _:b662809798 . _:b675161043 . _:b666092876 . _:b662809632 . _:b665794140 . _:b675161040 . _:b665176419 . _:b678850110 . _:b662809663 . _:b675161041 . _:b662809662 . _:b666093348 . _:b675161046 . _:b666092879 . _:b662809661 . _:b666093355 . _:b675161047 . _:b665176416 . _:b666092864 . _:b662809660 . _:b675161044 . _:b666092865 . _:b662809659 . _:b675161045 . _:b665176430 . _:b666092866 . _:b662809658 . _:b675161050 . _:b666092867 . _:b666092875 . _:b662809657 . _:b675161051 . _:b666092868 . _:b662809656 . _:b675161048 . _:b666092869 . _:b662809655 . _:b666093357 . _:b665794119 . _:b675161049 . _:b666092870 . _:b662809654 . _:b665971158 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b675161054 . _:b665176425 . _:b666092871 . _:b662809653 . _:b675161055 . _:b662809652 . _:b665176468 . _:b675161052 . _:b662809651 . _:b678849763 . _:b665176469 . _:b675161053 . _:b662809650 . _:b665176470 . _:b675161058 . _:b662809649 . _:b662809648 . _:b665176464 . _:b678849871 . _:b675161056 . _:b666092978 . _:b662809615 . _:b665176465 . _:b675161057 . _:b662809614 . _:b665176466 . _:b665793521 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665794126 . _:b662809613 . _:b665176467 . _:b662809612 . _:b665176460 . _:b662809611 . _:b665176461 . _:b662809610 . _:b665176462 . _:b662809609 . _:b665176463 . _:b662809608 . _:b665176456 . _:b665458918 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b662809607 . _:b665176457 . _:b675160449 . _:b662809606 . _:b665176458 . _:b675160448 . _:b662809605 . _:b665176459 . _:b675160401 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b666092968 . _:b662809604 . _:b665176452 . _:b662809603 . _:b665176453 . _:b665176423 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b662809602 . _:b665176454 . _:b662809601 . _:b665176455 . _:b665857166 . _:b666092964 . _:b662809600 . _:b665176448 . _:b663276386 . _:b662809631 . _:b665176449 . _:b662809630 . _:b678849920 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665176450 . _:b662809629 . _:b665176451 . _:b666092960 . _:b662809628 . _:b678849785 . _:b662809627 . _:b662809626 . _:b662809625 . _:b662809624 . _:b666092965 . _:b662809623 . _:b665857159 . _:b666092969 . _:b662809622 . _:b662809621 . _:b666092952 . _:b662809620 . _:b665176375 . _:b666092953 . _:b662809619 . _:b663276412 . _:b665176374 . _:b666092954 . _:b662809618 . _:b678849556 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b675160962 . _:b666092955 . _:b662809617 . _:b675160963 . _:b666092956 . _:b662809616 . _:b675160960 . _:b666092957 . _:b662809711 . _:b665970943 . _:b675160961 . _:b665176370 . _:b662809710 . _:b675160966 . _:b665176369 . _:b666092959 . _:b662809709 . _:b675160967 . _:b666092944 . _:b662809708 . _:b663276407 . _:b675160964 . _:b666092945 . _:b662809707 . _:b665970939 . _:b675160965 . _:b666092946 . _:b662809706 . _:b675160970 . _:b665176381 . _:b666092947 . _:b662809705 . _:b665795599 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b675160971 . _:b665176380 . _:b666092948 . _:b662809704 . _:b675160968 . _:b666092949 . _:b665971098 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665459019 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b662809703 . _:b675160969 . _:b666092950 . _:b666092958 . _:b662809702 . _:b675160974 . _:b666092951 . _:b662809701 . _:b674016299 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b675160975 . _:b665176376 . _:b666092936 . _:b665122281 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b662809700 . _:b675160972 . _:b665176359 . _:b666092937 . _:b662809699 . _:b675160973 . _:b666092938 . _:b662809698 . _:b675160978 . _:b666092939 . _:b662809697 . _:b668716349 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b675160979 . _:b666092940 . _:b662809696 . _:b675160976 . _:b666092941 . _:b662809727 . _:b675160482 . _:b675160977 . _:b666092942 . _:b662809726 . _:b665176370 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b675160982 . _:b675160483 . _:b666092943 . _:b662809725 . _:b675160983 . _:b666092928 . _:b662809724 . _:b675160481 . _:b675160980 . _:b666092929 . _:b662809723 . _:b675160981 . _:b662809722 . _:b668716496 . _:b675160986 . _:b662809721 . _:b675160484 . _:b675160987 . _:b666092932 . _:b662809720 . _:b675160984 . _:b666092933 . _:b662809719 . _:b675160985 . _:b665176362 . _:b674348697 . _:b666092934 . _:b665857366 . _:b662809718 . _:b675160990 . _:b665176361 . _:b674348696 . _:b666092935 . _:b665857365 . _:b662809717 . _:b666092898 . _:b675160991 . _:b665176360 . _:b666093048 . _:b666092899 . _:b665857364 . _:b668716502 . _:b662809716 . _:b666093040 . _:b675160988 . _:b666093049 . _:b674348698 . _:b662809715 . _:b675160989 . _:b662809714 . _:b675160994 . _:b666093051 . _:b665971310 . _:b662809713 . _:b675160995 . _:b666093044 . _:b662809712 . _:b675160992 . _:b662809679 . _:b668716509 . _:b675160993 . _:b674348689 . _:b665971309 . _:b662809678 . _:b665970846 . _:b666092900 . _:b675160998 . _:b666093055 . _:b675160452 . _:b665857373 . _:b662809677 . _:b675160999 . _:b674348691 . _:b665971307 . _:b662809676 . _:b665857372 . _:b675160996 . _:b666093041 . _:b674348690 . _:b665857371 . _:b662809675 . _:b675160997 . _:b674348693 . _:b665857370 . _:b662809674 . _:b666093050 . _:b675161002 . _:b674348692 . _:b665857369 . _:b662809673 . _:b675161003 . _:b674348695 . _:b665857368 . _:b662809672 . _:b675161000 . _:b666093045 . _:b674348694 . _:b662809671 . _:b675161001 . _:b666093054 . _:b662809670 . _:b675161006 . _:b665459301 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b675160486 . _:b662809669 . _:b675161007 . _:b675160485 . _:b665857348 . _:b662809668 . _:b666093024 . _:b675161004 . _:b665857347 . _:b675160485 . _:b662809667 . _:b675161005 . _:b666093034 . _:b662809666 . _:b675161010 . _:b666093027 . _:b662809665 . _:b675161011 . _:b666093028 . _:b662809664 . _:b675161008 . _:b665857359 . _:b675160481 . _:b662809695 . _:b675161009 . _:b665857358 . _:b662809694 . _:b675161014 . _:b662809693 . _:b675161015 . _:b662809692 . _:b668716494 . _:b675161012 . _:b665971320 . _:b662809691 . _:b666093033 . _:b665795453 . _:b675161013 . _:b665857354 . _:b674348709 . _:b662809690 . _:b665122574 . _:b675161018 . _:b665857353 . _:b662809689 . _:b666093035 . _:b675161019 . _:b665857352 . _:b668379279 . _:b662809688 . _:b674348345 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b675161016 . _:b665857399 . _:b674348710 . _:b662809687 . _:b668379274 . _:b668379277 . _:b675161017 . _:b674016302 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b662809686 . _:b668379277 . _:b668379274 . _:b675161022 . _:b665857397 . _:b662809685 . _:b674348729 . _:b666092818 . _:b675161023 . _:b666092817 . _:b662809684 . _:b665971169 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b674348730 . _:b665122560 . _:b675161020 . _:b662809683 . _:b668379272 . _:b665970867 . _:b675161021 . _:b665857394 . _:b662809682 . _:b668379270 . _:b665857393 . _:b662809681 . _:b675160460 . _:b675160480 . _:b662809680 . _:b665795446 . _:b668379267 . _:b665122567 . _:b675160461 . _:b662809775 . _:b662809774 . _:b675160452 . _:b674348429 . _:b675160479 . _:b662809773 . _:b675160453 . _:b666092788 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b668379267 . _:b666093016 . _:b675160460 . _:b675160454 . _:b662809772 . _:b666092855 . _:b678849759 . _:b678849981 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665857403 . _:b662809771 . _:b666093017 . _:b668379270 . _:b662809770 . _:b674348758 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b668379265 . _:b666093337 . _:b662809769 . _:b665857401 . _:b668379288 . _:b662809768 . _:b675160450 . _:b674016512 . _:b665857383 . _:b675160451 . _:b662809767 . _:b662809766 . _:b674348670 . _:b666093023 . _:b674348671 . _:b662809765 . _:b665857380 . _:b662809764 . _:b668379288 . _:b662809763 . _:b674348669 . _:b662809762 . _:b668379281 . _:b674348662 . _:b662809761 . _:b668379286 . _:b674348663 . _:b662809760 . _:b665857367 . _:b668379284 . _:b662809791 . _:b665857368 . _:b665857390 . _:b662809790 . _:b662809789 . _:b668379284 . _:b665857388 . _:b675160476 . _:b662809788 . _:b666092833 . _:b674348738 . _:b665857387 . _:b662809787 . _:b666092836 . _:b668379281 . _:b674348739 . _:b665970729 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b666093320 . _:b662809786 . _:b674348664 . _:b666093121 . _:b674348740 . _:b666093321 . _:b662809785 . _:b666093120 . _:b674348741 . _:b674348742 . _:b666093322 . _:b662809784 . _:b665857384 . _:b666092835 . _:b674348743 . _:b666093323 . _:b662809783 . _:b666092831 . _:b666093324 . _:b662809782 . _:b668378678 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b666092829 . _:b665795374 . _:b662809781 . _:b674348762 . _:b666092832 . _:b662809780 . _:b666093339 . _:b674348761 . _:b666093341 . _:b662809779 . _:b666092834 . _:b666093312 . _:b662809778 . _:b665176469 . _:b666093313 . _:b662809777 . _:b666093314 . _:b675160464 . _:b662809776 . _:b665176467 . _:b666093315 . _:b662809743 . _:b666093316 . _:b662809742 . _:b666093317 . _:b662809741 . _:b674348653 . _:b665176464 . _:b665793887 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b662809740 . _:b666093119 . _:b675160788 . _:b666092859 . _:b666093319 . _:b662809739 . _:b674348649 . _:b666093118 . _:b675160787 . _:b665795387 . _:b662809738 . _:b675160786 . _:b662809737 . _:b675160785 . _:b662809736 . _:b674348650 . _:b674348652 . _:b675160784 . _:b662809735 . _:b675160425 . _:b675160799 . _:b662809734 . _:b675160798 . _:b666092851 . _:b662809733 . _:b662809732 . _:b665795376 . _:b662809731 . _:b675160795 . _:b665176454 . _:b662809730 . _:b662809729 . _:b666092852 . _:b665795381 . _:b662809728 . _:b666092853 . _:b665795380 . _:b665176451 . _:b666092854 . _:b662809759 . _:b665176450 . _:b662809758 . _:b675160774 . _:b665176449 . _:b662809757 . _:b675160773 . _:b662809756 . _:b662809755 . _:b665176462 . _:b662809754 . _:b674348615 . _:b662809753 . _:b674348614 . _:b675160769 . _:b665176460 . _:b662809752 . . _:b675160768 . _:b665176459 . _:b666092850 . _:b675160441 . _:b662809751 . _:b675160783 . _:b662809750 . _:b662809749 . _:b675160781 . _:b665176456 . _:b662809748 . _:b665176403 . _:b675160780 . _:b662809747 . _:b675160779 . _:b662809746 . _:b665176405 . _:b662809745 . _:b665176404 . _:b662809744 . _:b662809839 . _:b665176406 . _:b675160823 . _:b665971085 . _:b662809838 . _:b662809837 . _:b665857340 . _:b662809836 . _:b674348615 . _:b665857339 . _:b662809835 . _:b674348614 . _:b665795419 . _:b665857338 . _:b662809834 . _:b678850017 . _:b665795602 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b675160818 . _:b665857337 . _:b675160395 . _:b662809833 . _:b678850016 . . _:b662809832 . _:b675160816 . _:b662809831 . _:b662809830 . _:b665459392 "requested by Melanie Courtot" . _:b675160830 . _:b662809829 . _:b662809828 . _:b662809827 . _:b674348727 . _:b675160827 . . _:b665971089 . _:b662809826 . _:b674348720 . _:b662809825 . _:b678849925 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b675160825 . _:b675160782 . _:b665857447 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b662809824 . _:b674348722 . _:b674348724 . _:b675160783 . _:b662809855 . _:b674348725 . _:b666093133 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b662809854 . _:b675160446 . _:b662809853 . _:b675160447 . _:b674348733 . _:b675160805 . _:b662809852 . _:b662809851 . _:b675160389 . . _:b675160803 . _:b662809850 . _:b675160388 . _:b675160802 . _:b665176469 . _:b662809849 . _:b674348347 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . . _:b675160391 . _:b674348729 . _:b662809963 . _:b665176468 . _:b662809848 . _:b675160390 . _:b662809847 . _:b674348731 . _:b675160393 . _:b662809846 . _:b675160392 . _:b675160814 . _:b662809845 . _:b674348709 . _:b678849738 . _:b665970748 . _:b662809844 . _:b674016668 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . . _:b675160394 . _:b675160812 . _:b665970749 . _:b666092665 . _:b662809843 . _:b674348711 . _:b665970750 . _:b666092658 . _:b662809842 . _:b662809964 . _:b665176914 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665970751 . _:b666092659 . _:b662809841 . _:b662809660 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b674348705 . _:b665794145 . _:b675160809 . _:b665970744 . _:b662809840 . _:b675160808 . _:b665970745 . _:b662809807 . _:b665970746 . _:b662809806 . _:b665176912 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665970747 . _:b662809805 . _:b665970740 . _:b666092664 . _:b662809804 . _:b674348718 . _:b665970741 . _:b662809803 . _:b665970742 . _:b666092666 . _:b662809802 . _:b666092988 . _:b665970743 . _:b662809801 . _:b666092991 . _:b665970736 . _:b662809800 . _:b674348716 . _:b668716734 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b666092989 . _:b665970737 . _:b662809799 . . _:b665970738 . _:b662809798 . _:b666092984 . _:b665970739 . _:b666092671 . _:b662809797 . _:b666092987 . _:b665793473 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665970732 . _:b662809796 . _:b666092986 . _:b674348694 . _:b666092985 . _:b665970733 . _:b662809795 . _:b666093057 . _:b675160433 . _:b665970734 . _:b662809794 . _:b675160432 . _:b662809793 . _:b665970728 . _:b662809792 . _:b675160434 . _:b665970729 . _:b662809823 . _:b665970730 . _:b662809822 . _:b666093060 . _:b665970731 . _:b666092647 . _:b662809821 . . _:b674348701 . _:b668716805 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b675160431 . _:b665970724 . _:b666092648 . _:b662809820 . _:b675160760 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b663276320 . _:b662809819 . _:b665970726 . _:b662809818 . _:b666093064 . _:b665970727 . _:b662809817 . _:b663276317 . _:b668378690 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b662809816 . _:b662809815 . _:b663276367 . _:b663276319 . _:b666092654 . _:b662809814 . _:b674348676 . _:b663276318 . _:b665970723 . _:b663276291 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b662809813 . _:b666092655 . _:b674348675 . _:b662809812 . _:b663276362 . _:b666092959 . _:b665970920 . _:b662809811 . _:b666093076 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b663276335 . _:b662809810 . _:b663276334 . _:b675160466 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b662809809 . _:b678849783 . _:b662809808 . _:b662809903 . _:b662809902 . _:b662809901 . _:b662809900 . _:b674348680 . _:b665970912 . _:b662809899 . _:b674348687 . _:b675160863 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b675160755 . _:b665176429 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b674016231 . _:b662809898 . _:b674348674 . _:b675160754 . _:b662809897 . _:b674348681 . _:b675160753 . _:b663276366 . _:b674348672 . _:b662809896 . _:b662809693 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b675160752 . _:b662809895 . _:b674348673 . _:b675160767 . _:b663277683 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b674016227 . _:b662809894 . _:b666092977 . _:b663276365 . _:b662809893 . _:b662809892 . _:b665857544 . _:b662809891 . _:b675160763 . _:b662809890 . _:b675160762 . _:b662809889 . _:b662809888 . _:b662809919 . _:b666092975 . _:b662809918 . _:b665970818 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b663276372 . _:b662809917 . _:b663276371 . _:b662809916 . . _:b662809915 . _:b663276371 . _:b662809914 . _:b662809913 . "Matt Brush"@en . _:b663276370 . _:b665970688 . _:b665970983 . _:b662809912 . _:b662810186 . _:b665970689 . _:b662809911 . _:b663276368 . _:b662809910 . _:b665793874 . _:b665793875 . _:b663276369 . _:b665793872 . _:b665857429 . _:b662809909 . _:b665793873 . _:b666093267 . _:b665793878 . _:b665793879 . _:b665970812 . _:b665793876 . _:b665857428 . _:b662809908 . _:b665793877 . _:b665793882 . _:b665793883 . _:b665970813 . _:b665793880 . _:b665857427 . _:b662809907 . _:b665793881 . _:b665793886 . _:b665793887 . _:b665970814 . _:b665793884 . _:b665793885 . _:b662809906 . _:b662810180 . _:b674348768 . _:b665793858 . _:b665793859 . _:b665970815 . _:b665793856 . _:b665793857 . _:b662809905 . _:b665793862 . _:b665793863 . _:b665970808 . _:b665793860 . _:b665970991 . _:b662809904 . _:b665793861 . _:b665793866 . _:b665793867 . _:b665970809 . _:b665793864 . _:b665857447 . _:b662809871 . _:b665793865 . _:b663276327 . _:b665793870 . _:b665793871 . _:b665970810 . _:b665793868 . _:b665857438 . _:b662809870 . _:b665793869 . _:b665857446 . _:b665793906 . _:b665793907 . _:b665970811 . _:b665793904 . _:b665857437 . _:b662809869 . _:b665793905 . _:b665795467 . _:b665793910 . _:b665793911 . _:b665970804 . _:b665793908 . _:b665793909 . _:b662809868 . _:b666092971 . _:b665793914 . _:b665793915 . _:b665970805 . _:b665793912 . _:b665793913 . _:b662809867 . _:b666093273 . _:b665793918 . _:b665793919 . _:b665970806 . _:b665793916 . _:b665857434 . _:b662809866 . _:b665793917 . _:b666093113 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665793890 . _:b665793891 . _:b665970807 . _:b665793888 . . _:b665793889 . _:b662809865 . _:b666092973 . _:b665793894 . _:b665793895 . _:b665970800 . _:b665793892 . _:b665857432 . _:b662809864 . _:b665793893 . _:b663276350 . _:b665793898 . _:b666093278 . _:b663276340 . _:b665793899 . _:b665970801 . _:b665793896 . _:b665857415 . _:b662809863 . _:b665793897 . _:b665793902 . _:b665793903 . _:b665970802 . _:b665793900 . _:b666092974 . _:b662809862 . _:b665793901 . _:b665793810 . _:b674348756 . _:b665793811 . _:b665795518 . _:b665793808 . _:b666092979 . _:b665970803 . _:b665793809 . _:b668379047 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b662809861 . _:b665176827 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665793814 . _:b665793815 . _:b665970796 . _:b665793812 . _:b666092976 . _:b665857412 . _:b662809860 . _:b665793813 . _:b663276346 . _:b665793818 . _:b663276336 . _:b665793819 . _:b665970797 . _:b665793816 . _:b665793817 . _:b662809859 . _:b663276337 . _:b665793822 . _:b665793512 . _:b665793823 . _:b665970798 . _:b665793820 . _:b665857410 . _:b662809858 . _:b665793821 . _:b663276338 . _:b665793794 . _:b665793513 . _:b665795460 . _:b665793795 . _:b665970799 . _:b665793792 . _:b665793793 . _:b662809857 . _:b663276339 . _:b674348753 . _:b665793798 . _:b666092980 . _:b665793799 . _:b665970792 . _:b665793796 . _:b665857408 . _:b662809856 . _:b665793797 . _:b666092960 . _:b665793802 . _:b666092981 . _:b665793803 . _:b665970793 . _:b665793800 . _:b665857423 . _:b662809887 . _:b665793801 . _:b666092982 . _:b665793806 . _:b665793807 . _:b665970794 . _:b665793804 . _:b665793805 . _:b662809886 . _:b666093252 . _:b674348764 . _:b665793842 . _:b665793843 . _:b665970795 . _:b665793840 . _:b665857421 . _:b662809885 . _:b665793841 . _:b662810193 . _:b674348763 . _:b665793846 . _:b666093259 . _:b665793847 . _:b665970788 . _:b665793844 . _:b665857420 . _:b662809884 . _:b665793845 . _:b665176828 . _:b674348766 . _:b668379093 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665121892 . _:b665793850 . _:b665793851 . _:b663276367 . _:b665793848 . _:b665970789 . _:b665793849 . _:b662809883 . _:b665176829 . _:b665121893 . _:b665793854 . _:b665793855 . _:b665970790 . _:b674348332 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665793852 . _:b665793853 . _:b662809882 . _:b665176830 . _:b665793826 . _:b665793827 . _:b665970791 . _:b665793824 . _:b665857417 . _:b662809881 . _:b665793825 . _:b665793830 . _:b674348761 . _:b665793831 . _:b665970784 . _:b665793828 . _:b665970951 . _:b662809880 . _:b665793829 . _:b665176824 . _:b665793834 . _:b665793835 . _:b665970785 . _:b665793832 . _:b666092709 . _:b665793833 . _:b662809879 . _:b665176825 . _:b665793838 . _:b665793839 . _:b665970786 . _:b665793836 . _:b665793837 . _:b662809878 . _:b663276332 . _:b665794002 . _:b665176826 . _:b665794003 . _:b665970787 . _:b665794000 . _:b665794001 . _:b662809877 . _:b663276333 . _:b665794006 . _:b666093299 . _:b665176827 . _:b665794007 . _:b665970780 . _:b665794004 . _:b665794005 . _:b662809876 . _:b665176820 . _:b674348742 . _:b665794010 . _:b665794011 . _:b665970781 . _:b665794008 . _:b665794009 . _:b662809875 . _:b665794014 . _:b665794015 . _:b665970782 . _:b665794012 . _:b665794013 . _:b662809874 . _:b665176822 . _:b674348736 . _:b665793986 . _:b665793987 . _:b665970783 . _:b665793984 . _:b666092699 . _:b665793985 . _:b662809873 . _:b665176823 . _:b665793990 . _:b665793991 . _:b663276346 . _:b665793988 . _:b665970776 . _:b665793989 . _:b662809872 . _:b665793994 . _:b678850159 . _:b665793995 . _:b663276347 . _:b665793992 . _:b665970777 . _:b666092693 . _:b662809967 . _:b665793993 . _:b665793998 . _:b665793999 . _:b665970778 . _:b665793996 . _:b665793997 . _:b662809966 . _:b665794034 . _:b665794035 . _:b665970779 . _:b665794032 . _:b665794033 . _:b662809965 . _:b665176819 . _:b665794038 . _:b665794039 . _:b665970772 . _:b665794036 . _:b665794037 . _:b662809964 . _:b665794042 . _:b665794043 . _:b665970773 . _:b665794040 . _:b665794042 . _:b662809963 . _:b665794041 . _:b665794046 . _:b665794047 . _:b665970774 . _:b665794044 . _:b666092690 . _:b665794045 . _:b662809962 . _:b665794018 . _:b674348744 . _:b668716748 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665794019 . _:b665970775 . _:b665794016 . _:b665794017 . _:b662809961 . _:b665794022 . _:b674348751 . _:b665794023 . _:b665970768 . _:b665794020 . _:b665794021 . _:b662809960 . _:b665857558 . _:b665794026 . _:b665794027 . _:b665970769 . _:b665794024 . _:b665857447 . _:b662809959 . _:b665794025 . _:b665794030 . _:b665794031 . _:b665970770 . _:b665794028 . _:b666092694 . _:b665794029 . _:b662809958 . _:b665793938 . _:b665793939 . _:b665970771 . _:b665793936 . _:b665857445 . _:b662809957 . _:b665793937 . _:b665793942 . _:b665793943 . _:b665970764 . _:b665793940 . _:b666092680 . _:b665793941 . _:b662809956 . _:b665793946 . _:b665793947 . _:b665970765 . _:b665793944 . _:b665793945 . _:b662809955 . _:b665793950 . _:b665793951 . _:b665970766 . _:b665793948 . _:b666092682 . _:b665857442 . _:b662809954 . _:b665793949 . _:b665793922 . _:b665793923 . _:b665970767 . _:b665793920 . _:b663276338 . _:b662809953 . _:b665793921 . _:b666092675 . _:b665793926 . _:b665177079 . _:b665793927 . _:b665970760 . _:b665793924 . _:b665857440 . _:b662809952 . _:b665793925 . _:b665793930 . _:b665793931 . _:b665970761 . _:b665793928 . _:b665793929 . _:b662809983 . _:b663276311 . _:b665793934 . _:b666093009 . _:b665793935 . _:b666093010 . _:b665793932 . _:b666092686 . _:b665970762 . _:b665793933 . _:b662809982 . _:b666093106 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665793970 . _:b666093008 . _:b665793971 . _:b665970763 . _:b665793968 . _:b665793969 . _:b662809981 . _:b665793974 . _:b665793975 . _:b665970756 . _:b665793972 . _:b666092672 . _:b665793973 . _:b662809980 . _:b665793978 . _:b665793979 . _:b665970757 . _:b665793976 . _:b666092681 . _:b662809979 . _:b665793977 . _:b666093005 . _:b665793982 . _:b665793983 . _:b666093006 . _:b665793980 . _:b665970758 . _:b665793981 . _:b662809978 . _:b665793954 . _:b668378982 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665793955 . _:b665970759 . _:b665793952 . _:b665793953 . _:b662809977 . _:b666093007 . _:b665793958 . _:b665177087 . _:b665793959 . _:b665970752 . _:b665793956 . _:b666092676 . _:b665793957 . _:b662809976 . _:b665793962 . _:b665793963 . _:b665970753 . _:b665793960 . _:b666092685 . _:b662809975 . _:b665793961 . _:b665793966 . _:b663276275 . _:b665793967 . _:b666093001 . _:b665970754 . _:b665793964 . _:b665793965 . _:b662809974 . _:b666093000 . _:b665793618 . _:b663276274 . _:b665793619 . _:b666093003 . _:b665793616 . _:b666092679 . _:b665970755 . _:b666092687 . _:b662809973 . _:b665793617 . _:b665793622 . _:b663276277 . _:b665793623 . _:b665793620 . _:b665793621 . _:b662809972 . _:b666093002 . _:b665793626 . _:b663276276 . _:b665793627 . _:b665793624 . _:b665793625 . _:b675160393 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b662809971 . _:b665793630 . _:b678850058 . _:b663276279 . _:b665793631 . _:b665793628 . _:b665793629 . _:b662809970 . _:b665793602 . _:b663276278 . _:b665793603 . _:b666092999 . _:b665793600 . _:b665793601 . _:b662809969 . _:b665793606 . _:b665793607 . _:b666092996 . _:b665793604 . _:b665793605 . _:b662809968 . _:b666092998 . _:b665793610 . _:b665176784 . _:b663276280 . _:b665793611 . _:b665793608 . _:b665793609 . _:b662809935 . _:b666092993 . _:b665793614 . _:b665176785 . _:b665857551 . _:b665793615 . _:b675160855 . _:b665793612 . _:b665793613 . _:b662809934 . _:b665857548 . _:b665793650 . _:b665793651 . _:b665793648 . _:b665793649 . _:b662809933 . _:b666092995 . _:b665793654 . _:b666093211 . _:b665793590 . _:b665793655 . _:b675160853 . _:b666092992 . _:b665793652 . _:b665459027 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665793653 . _:b662809932 . _:b665793658 . _:b666092994 . _:b675160852 . _:b665793659 . _:b665793656 . _:b665793657 . _:b662809931 . _:b665793662 . _:b665793663 . _:b665793660 . _:b665793661 . _:b662809930 . _:b665793634 . _:b665793635 . _:b665793632 . _:b665793633 . _:b662809929 . _:b665793638 . _:b665793639 . _:b675160849 . _:b665793636 . _:b665793637 . _:b662809928 . _:b665793642 . _:b665177036 . _:b665793643 . _:b665793640 . _:b665971060 . _:b665857494 . _:b662809927 . _:b665793641 . _:b665793646 . _:b665177037 . _:b665793647 . _:b665793644 . _:b665793645 . _:b662809926 . _:b662809650 . _:b674016696 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665793554 . _:b665177034 . _:b675160862 . _:b665793555 . _:b665793552 . _:b665793553 . _:b662809925 . _:b662809651 . _:b665793558 . _:b665793559 . _:b665793556 . _:b662809664 . _:b662809924 . _:b665793557 . _:b665793562 . _:b665793563 . _:b675160860 . _:b665793560 . _:b662809665 . _:b662809923 . _:b665793561 . _:b665793566 . _:b665793567 . _:b665793564 . _:b662809666 . _:b662809922 . _:b665793565 . _:b665793538 . _:b665793539 . _:b665177029 . _:b665793536 . _:b665793537 . _:b662809921 . _:b663276281 . _:b665793542 . _:b665177047 . _:b675160857 . _:b665793543 . _:b665793540 . _:b665971071 . _:b662809920 . _:b665793541 . _:b662810029 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665793546 . _:b666093190 . _:b665793547 . _:b665793544 . _:b665793545 . _:b662809951 . _:b662809657 . _:b665793550 . _:b665793551 . _:b665793548 . _:b665793549 . _:b662809950 . _:b665793586 . _:b665793587 . _:b675160838 . _:b665793584 . _:b665793585 . _:b662809949 . _:b665793590 . _:b665793591 . _:b665793588 . _:b665793589 . _:b662809948 . _:b665176892 . _:b665793594 . _:b665793595 . _:b675160836 . _:b665793592 . _:b665793593 . _:b662809947 . _:b665176893 . _:b665793598 . _:b665793599 . _:b675160835 . _:b665793596 . _:b665793597 . _:b662809946 . _:b665176894 . _:b665793570 . _:b662809662 . _:b665793571 . _:b665793568 . _:b665793569 . _:b662809945 . _:b665176895 . _:b674016881 . _:b665793574 . _:b662809663 . _:b665793575 . _:b665793572 . _:b665793573 . _:b662809944 . _:b665176888 . _:b665793578 . _:b665793579 . _:b675160832 . _:b665793576 . _:b665793577 . _:b662809943 . _:b665176889 . _:b665793582 . _:b666093197 . _:b665793583 . _:b675160847 . _:b665793580 . _:b665793581 . _:b662809942 . _:b665176890 . _:b665793746 . _:b662809634 . _:b665793747 . _:b665793744 . _:b665793745 . _:b662809941 . _:b665176891 . _:b665793750 . _:b662809635 . _:b665793751 . _:b665793748 . _:b665793749 . _:b662809940 . _:b665176884 . _:b665793754 . _:b662809636 . _:b665793755 . _:b675160844 . _:b665793752 . _:b665176525 . _:b662809939 . _:b665793753 . _:b665176885 . _:b665793758 . _:b665793759 . _:b675160843 . _:b665793756 . _:b665793757 . _:b674348738 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b662809938 . _:b665176886 . _:b665793730 . _:b665793731 . _:b675160842 . _:b675160386 . _:b665793728 . _:b665793729 . _:b662809937 . _:b665176887 . _:b665793734 . _:b665793735 . _:b675160387 . _:b665970840 . _:b665793732 . _:b665793733 . _:b662809936 . _:b665176880 . _:b665793738 . _:b665793739 . _:b675160384 . _:b665970841 . _:b665793736 . _:b665793737 . _:b662810031 . _:b665176881 . _:b665793742 . _:b665793743 . _:b675160385 . _:b665970842 . _:b665793740 . _:b665793741 . _:b662810030 . _:b665176882 . _:b665793778 . _:b665793779 . _:b675160390 . _:b665793776 . _:b665793777 . _:b662810029 . _:b665176883 . _:b665793782 . _:b665793783 . _:b675160391 . _:b665970836 . _:b668378623 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665793780 . _:b665793781 . _:b662810028 . _:b665176876 . _:b665793786 . _:b666092823 . _:b675160388 . _:b665793787 . _:b665970837 . _:b665793784 . _:b665793785 . _:b662810027 . _:b665176877 . _:b665793790 . _:b662809645 . _:b665793791 . _:b675160389 . _:b665970838 . _:b665793788 . _:b665793789 . _:b662810026 . _:b665176878 . _:b665793762 . _:b662809646 . _:b665793763 . _:b675160394 . _:b665970839 . _:b665793760 . _:b665793761 . _:b662810025 . _:b665176879 . _:b665793766 . _:b665793767 . _:b675160395 . _:b665970832 . _:b665793764 . _:b665793765 . _:b662810024 . _:b665176872 . _:b665793770 . _:b666093246 . _:b662809639 . _:b665793771 . _:b675160392 . _:b665970833 . _:b665793768 . _:b665793769 . _:b662810023 . _:b665176873 . _:b665793774 . _:b662809638 . _:b665793775 . _:b675160393 . _:b665970834 . _:b665793772 . _:b665793773 . _:b674348732 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b662810022 . _:b665176874 . _:b665793682 . _:b662809637 . . _:b675160398 . _:b665793683 . _:b665970835 . _:b665793680 . _:b665793681 . _:b662810021 . _:b665176875 . _:b665793686 . _:b666093219 . _:b662809636 . _:b665793687 . _:b675160399 . _:b665970828 . _:b665793684 . _:b665793685 . _:b662810020 . _:b665176868 . _:b665793690 . _:b662809635 . _:b665793691 . _:b675160396 . _:b665970829 . _:b665793688 . _:b665793689 . _:b662810019 . _:b665176869 . _:b665793694 . _:b662809634 . _:b665793695 . _:b675160397 . _:b665970830 . _:b665793692 . _:b665793693 . _:b678849961 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b662810018 . _:b665176870 . _:b665793666 . _:b666093216 . _:b662809633 . _:b665793667 . _:b675160402 . _:b665970831 . _:b665793664 . _:b665793665 . _:b662810017 . _:b665176823 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665793670 . _:b662809632 . _:b665176871 . _:b665793671 . _:b675160403 . _:b665970824 . _:b665793668 . _:b665793669 . _:b662810016 . _:b665176864 . _:b665793674 . _:b665793675 . _:b675160400 . _:b665970825 . _:b665793672 . _:b665793673 . _:b662810047 . _:b665176865 . _:b665793678 . _:b665793679 . _:b675160401 . _:b665970826 . _:b665793676 . _:b665793677 . _:b662810046 . _:b665176866 . _:b665793714 . _:b665857560 . _:b675160862 . _:b675160406 . _:b665793715 . _:b665970827 . _:b665793712 . _:b665793713 . _:b662810045 . _:b665176867 . _:b665793718 . _:b665793719 . _:b675160861 . _:b675160407 . _:b666093078 . _:b665793716 . _:b665970820 . _:b666093247 . _:b662810044 . _:b665793717 . _:b665176860 . _:b665793722 . _:b665793723 . _:b675160404 . _:b665970821 . _:b665793720 . _:b665793721 . _:b662810043 . _:b665176861 . _:b665793726 . _:b665793727 . _:b675160405 . _:b665970822 . _:b665793724 . _:b665793725 . _:b662810042 . _:b665176862 . _:b665793698 . _:b665793699 . _:b675160410 . _:b665970823 . _:b665793696 . _:b665793697 . _:b662810041 . _:b665176863 . _:b665793702 . _:b662809640 . _:b665793703 . _:b675160411 . _:b665970816 . _:b665793700 . _:b665793701 . _:b662810040 . _:b665176856 . _:b665793706 . _:b665793707 . _:b675160408 . _:b665970817 . _:b665793704 . _:b665793705 . _:b662810039 . _:b665176857 . _:b665793710 . _:b666093229 . _:b665793711 . _:b675160409 . _:b666093068 . _:b665793708 . _:b665970818 . _:b665793709 . _:b662810038 . _:b665176858 . _:b675160414 . _:b665970819 . _:b662810037 . _:b665176859 . _:b666092883 . _:b668716365 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b675160415 . _:b662810036 . _:b665176852 . _:b663277895 . _:b675160412 . _:b662810035 . _:b674348363 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665176853 . _:b675160413 . . _:b678849741 . _:b662810034 . _:b665176854 . _:b665857535 . _:b675160418 . _:b662810033 . _:b665176855 . _:b675160419 . _:b662810032 . _:b665176848 . _:b675160416 . _:b665176567 . _:b663276361 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b666093241 . _:b662809999 . _:b665176849 . _:b675160417 . _:b662809998 . _:b665857528 . _:b665176850 . _:b675160422 . _:b665122553 . _:b662809997 . _:b662810051 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665176851 . _:b675160423 . _:b665458908 . _:b662809996 . _:b665176844 . _:b666092890 . _:b675160420 . _:b665458909 . _:b662809995 . _:b665176845 . _:b675160421 . _:b678849889 . _:b662809994 . _:b665176846 . _:b675160426 . _:b662809993 . _:b665176847 . _:b675160427 . _:b662809992 . _:b665176840 . _:b675160424 . _:b662809991 . _:b665176841 . _:b675160425 . _:b662809990 . _:b665176842 . _:b675160430 . _:b662809989 . _:b665176843 . _:b675160431 . _:b665459390 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b662809988 . . _:b665176836 . _:b675160428 . _:b665176571 . _:b662809987 . _:b665176837 . _:b675160429 . _:b662809986 . _:b666093258 . _:b665176838 . _:b675160434 . _:b665857230 . _:b674016366 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b662809985 . _:b665176839 . _:b662809719 . _:b675160435 . _:b666093347 . _:b662809984 . _:b665176832 . _:b675160432 . _:b662810015 . _:b665176833 . _:b675160433 . _:b662810014 . _:b665176834 . _:b675160438 . _:b662810013 . _:b665176835 . _:b675160439 . _:b662810012 . _:b675160436 . _:b662810011 . _:b662809725 . _:b675160437 . _:b662810010 . _:b662809726 . _:b675160442 . _:b665459568 . _:b662810009 . _:b675160443 . _:b678849888 . _:b665795149 . _:b665176389 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b662810008 . _:b665795170 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b675160440 . _:b662810007 . _:b666092877 . _:b675160441 . _:b666093253 . _:b662810006 . _:b675160446 . _:b662810005 . _:b665176355 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b675160447 . _:b662810004 . _:b665971312 . _:b666092940 . _:b675160444 . _:b666093337 . _:b662810003 . _:b675160445 . _:b662810002 . _:b675160322 . _:b662810001 . _:b675160323 . _:b662810000 . _:b666093333 . _:b662810095 . _:b663276532 . _:b675160321 . _:b662810094 . _:b675160326 . _:b666093260 . _:b662810093 . _:b675160327 . _:b666093328 . _:b662810092 . _:b665971320 . _:b663276529 . _:b675160324 . _:b666093329 . _:b662810091 . _:b675160325 . _:b662810090 . _:b675160330 . _:b662810089 . _:b675160331 . _:b662810088 . _:b665176936 . _:b675160328 . _:b666093338 . _:b662810087 . _:b665176937 . _:b675160329 . _:b666093334 . _:b662810086 . _:b665176938 . _:b662809682 . _:b675160334 . _:b665176422 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b662810085 . _:b674348280 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b675160335 . _:b666093320 . _:b662810084 . _:b665176932 . _:b666092898 . _:b675160332 . _:b666093321 . _:b662810083 . _:b665176933 . _:b675160333 . _:b665176474 . _:b666093322 . _:b662810082 . _:b665176934 . _:b662809686 . _:b675160338 . _:b678849867 . _:b666093323 . _:b662810081 . _:b665176935 . _:b675160339 . _:b666093324 . _:b662810080 . _:b665971308 . _:b665176928 . _:b675160336 . _:b666093325 . _:b662810111 . _:b665176929 . _:b675160337 . _:b666093326 . _:b662810110 . _:b665176930 . _:b678849907 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b675160342 . _:b662810109 . _:b665176931 . _:b675160343 . _:b665793514 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b666093312 . _:b662810108 . _:b665793959 . _:b662809692 . _:b665176924 . _:b675160340 . _:b666093313 . _:b662810107 . _:b665176925 . _:b675160341 . _:b666093314 . _:b662810106 . _:b665176926 . _:b666092904 . _:b675160346 . _:b666093315 . _:b665176417 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b662810105 . _:b665176927 . _:b675160347 . _:b666093316 . _:b662810104 . _:b665176920 . _:b675160344 . _:b666093317 . _:b662810103 . _:b665176921 . _:b666092909 . _:b675160345 . _:b666093318 . _:b662810102 . _:b665795640 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665794130 . _:b665176922 . _:b665794131 . _:b675160350 . _:b666093319 . _:b665794128 . _:b666093327 . _:b662810101 . _:b665794129 . _:b665176923 . _:b665794134 . _:b665794135 . _:b675160351 . _:b665794132 . _:b665794133 . _:b662810100 . _:b665176916 . _:b665794138 . _:b665794139 . _:b675160348 . _:b665794136 . _:b665794137 . _:b662810099 . _:b665176917 . _:b665794142 . _:b665794143 . _:b675160349 . _:b665794140 . _:b665794141 . _:b662810098 . _:b665176918 . _:b665794114 . _:b665794115 . _:b675160354 . _:b665794112 . _:b665794113 . _:b662810097 . _:b665176919 . _:b665794118 . _:b665794119 . _:b675160355 . _:b665794116 . _:b662809660 . _:b662810096 . _:b665794117 . _:b665176912 . _:b665794122 . _:b665794123 . _:b675160352 . _:b665794120 . _:b662809661 . _:b662810063 . _:b665794121 . _:b665176913 . _:b665794126 . _:b666092821 . _:b665794127 . _:b675160353 . _:b665794124 . _:b662809662 . _:b662810062 . _:b665794125 . _:b665176914 . _:b675160358 . _:b665121986 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b662810061 . _:b662809663 . _:b665176915 . _:b662809675 . _:b675160359 . _:b662810060 . _:b665176908 . _:b662809676 . _:b675160356 . _:b662810059 . _:b665176909 . _:b662809677 . _:b675160357 . _:b662810058 . _:b665176910 . _:b662809678 . _:b675160362 . _:b665794144 . _:b665794145 . _:b662810057 . _:b665176911 . _:b675160363 . _:b662810056 . _:b665176904 . _:b675160360 . _:b662810055 . _:b665176905 . _:b674016327 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b675160361 . _:b662810054 . _:b665176906 . _:b665794066 . _:b666092828 . _:b662809745 . _:b665794067 . _:b675160366 . _:b666093245 . _:b665794064 . _:b665794065 . _:b662810053 . _:b665176907 . _:b665794070 . _:b662809744 . _:b665794071 . _:b675160367 . _:b665794068 . _:b665794069 . _:b678849493 . _:b662810052 . _:b665176900 . _:b665794074 . _:b665794075 . _:b675160364 . _:b665794072 . _:b678849492 . _:b665794073 . _:b662810051 . _:b665176901 . _:b665794078 . _:b665794079 . _:b675160365 . _:b666093232 . _:b665794076 . _:b665794077 . _:b662810050 . _:b665176902 . _:b665794050 . _:b665794051 . _:b675160370 . _:b665794048 . _:b665794049 . _:b662810049 . _:b665176903 . _:b665794054 . _:b665794055 . _:b675160371 . _:b665794052 . _:b665794053 . _:b662810048 . _:b665176896 . _:b665794058 . _:b665794059 . _:b675160368 . _:b665794056 . _:b665970940 . _:b662810079 . _:b665794057 . _:b665971215 . _:b665794062 . _:b665176897 . _:b665459488 . _:b675160369 . _:b665794063 . _:b665794060 . _:b665970941 . _:b662810078 . _:b665794061 . _:b665176898 . _:b665794098 . _:b665794099 . _:b675160374 . _:b665794096 . _:b666093237 . _:b662810077 . _:b665794097 . _:b665970938 . _:b665176899 . _:b665794102 . _:b665794103 . _:b675160375 . _:b665794100 . _:b666093238 . _:b662810076 . _:b665794101 . _:b665794077 . _:b665794106 . _:b665794107 . _:b675160372 . _:b665794104 . _:b666093239 . _:b662810075 . _:b665794105 . _:b665794110 . _:b665793886 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b675160373 . _:b665794111 . _:b665794108 . _:b665794109 . _:b662810074 . _:b665794082 . _:b665794083 . _:b675160378 . _:b665794080 . _:b665794081 . _:b662810073 . _:b665794086 . _:b665794087 . _:b675160379 . _:b668716409 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665794084 . _:b665794085 . _:b662810072 . _:b665794090 . "Chris Stoeckert"@en . _:b675160376 . _:b665794091 . _:b665176495 . _:b665794088 . _:b665794089 . _:b662810071 . _:b665794094 . _:b665794095 . _:b675160377 . _:b665794092 . _:b665794093 . _:b662810070 . _:b675160382 . _:b665795530 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b662810069 . _:b675160383 . _:b662810068 . _:b666092850 . _:b675160380 . _:b662810067 . _:b675160381 . _:b662810066 . _:b666093066 . _:b675160514 . _:b665857310 . _:b662810065 . _:b675160515 . _:b662810064 . _:b675160512 . _:b662810159 . _:b665971187 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665122301 . _:b675160513 . _:b662810158 . _:b675160518 . _:b662810157 . _:b665122303 . _:b675160519 . _:b662810156 . _:b662809743 . _:b665122302 . _:b675160516 . _:b662810155 . _:b675160517 . _:b666093214 . _:b662810154 . _:b666093197 . _:b666093215 . _:b675160522 . _:b665857302 . _:b662810153 . _:b666092752 . _:b675160523 . _:b662810152 . _:b665971236 . _:b675160520 . _:b662810151 . _:b666093210 . _:b675160521 . _:b662809730 . _:b662810150 . _:b666092860 . _:b675160526 . _:b666093199 . _:b662810149 . _:b662809731 . _:b663276380 . _:b675160527 . _:b662809732 . _:b662810148 . _:b675160524 . _:b666093209 . _:b662810147 . _:b663276432 . _:b665857306 . _:b675160525 . _:b662810146 . _:b675160530 . _:b662810145 . _:b665857316 . _:b675160531 . _:b662810144 . _:b675160528 . _:b678849629 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b662810175 . _:b675160529 . _:b662810174 . _:b666092749 . _:b675160534 . _:b662810173 . _:b675160535 . _:b666093206 . _:b662810172 . _:b665793673 . _:b662809682 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b666092842 . _:b666092751 . _:b675160532 . _:b666093207 . _:b662810171 . _:b666092750 . _:b675160533 . _:b662810170 . _:b665122367 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b675160538 . _:b662810169 . _:b666092847 . _:b675160539 . _:b665795566 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b662810168 . _:b665793842 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b675160536 . _:b662810167 . _:b675160537 . _:b662810166 . _:b675160542 . _:b662810165 . _:b675160543 . _:b668378688 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b668716950 . _:b662810164 . _:b665122227 . _:b675160540 . _:b665970720 . _:b662810163 . _:b665122226 . _:b666093009 . _:b663276362 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b675160541 . _:b662810162 . _:b675160546 . _:b662810161 . _:b678849592 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b675160547 . _:b662810160 . _:b666093014 . _:b666093189 . _:b675160544 . _:b665857328 . _:b662810127 . _:b675160545 . _:b662810126 . _:b666093012 . _:b675160550 . _:b662810125 . _:b665459454 "1"^^ . _:b675160551 . _:b662810229 . _:b665793834 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b662810124 . _:b666093018 . _:b675160548 . _:b662810123 . _:b674016653 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b675160549 . _:b666093304 . _:b662810122 . _:b665122227 . _:b675160554 . _:b666093305 . _:b662810121 . _:b665122226 . _:b675160555 . _:b666093306 . _:b662810120 . _:b662809717 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b675160552 . _:b665971057 . _:b666093307 . _:b662810119 . _:b675160553 . _:b665971058 . _:b666093308 . _:b662810118 . _:b675160558 . _:b666093309 . _:b662810117 . . _:b666092995 . _:b675160559 . _:b666093310 . _:b662810116 . _:b675160556 . _:b662810115 . _:b666092993 . _:b675160557 . _:b662810114 . _:b675160562 . _:b662810113 . _:b675160563 . _:b662810112 . _:b675160560 . _:b663276476 . _:b662810143 . _:b663277883 . _:b675160561 . _:b662810142 . _:b675160566 . _:b662810141 . _:b666093301 . _:b675160567 . _:b662810140 . _:b666093302 . _:b665177016 . _:b666093002 . _:b665795641 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b675160564 . _:b662810139 . _:b666093303 . _:b675160565 . _:b662810138 . _:b666093000 . _:b675160570 . _:b666093289 . _:b662810137 . _:b666093007 . _:b675160571 . _:b662810136 . _:b666093290 . _:b675160568 . _:b662810135 . _:b666093291 . _:b665857500 . _:b675160569 . _:b662810134 . . _:b675160574 . _:b662810133 . . _:b675160575 . _:b662810132 . _:b665970691 . _:b665177008 . _:b666093042 . _:b675160572 . _:b662810131 . _:b675160573 . _:b662810130 . _:b675160450 . _:b662810129 . _:b665970702 . _:b675160451 . _:b674016735 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b662810128 . _:b666093046 . _:b675160448 . _:b662810223 . _:b675160449 . _:b662810222 . _:b665971166 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . . _:b666092764 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b675160454 . _:b668379274 . _:b662810221 . _:b675160455 . _:b662810220 . _:b675160452 . _:b662810219 . _:b675160453 . _:b662810218 . _:b665176921 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b675160458 . _:b662810217 . _:b675160459 . _:b662810216 . _:b665176812 . _:b675160456 . _:b662810215 . _:b675160457 . _:b662810214 . _:b666093052 . _:b675160462 . _:b665459509 . _:b662810213 . _:b675160463 . _:b662810212 . . _:b675160460 . _:b662810211 . _:b668379267 . _:b666093025 . _:b675160461 . _:b662810210 . _:b675160466 . _:b662810209 . _:b665122293 . . _:b675160467 . _:b662810208 . _:b675160464 . _:b662810239 . _:b665970716 . _:b666093029 . _:b675160465 . _:b666093180 . _:b662810238 . _:b665122288 . _:b665459406 "1"^^ . _:b675160470 . "Werner Ceusters"@en . _:b665176862 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b662810237 . _:b675160471 . _:b662810236 . _:b665122292 . _:b668379288 . _:b665176816 . _:b675160468 . _:b665458863 . _:b662810235 . _:b665459405 "1"^^ . _:b675160469 . _:b665458862 . _:b662810234 . _:b665458861 . _:b675160474 . _:b668716696 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b662810233 . _:b665458860 . _:b675160475 . _:b665795214 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b666093258 . _:b662810232 . _:b665459327 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665459331 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b666093038 . _:b665458859 . _:b675160472 . _:b662810231 . _:b665971351 . _:b665458858 . _:b675160473 . _:b662810230 . _:b665176891 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b666093036 . _:b665458857 . _:b675160478 . _:b668379281 . _:b662810229 . _:b665458856 . _:b675160479 . _:b665971132 . _:b662810228 . _:b675160797 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665458855 . _:b675160476 . _:b665971133 . . _:b662810227 . _:b665122299 . _:b662809595 . _:b665458854 . _:b675160477 . _:b665971134 . _:b665122286 . _:b662810226 . _:b665122276 . _:b665122274 . _:b662809594 . _:b675160482 . _:b665971135 . _:b662810225 . _:b665122275 . _:b675160483 . _:b665971128 . _:b665122284 . _:b662810224 . _:b675160480 . _:b666093251 . _:b665122285 . _:b665971129 . _:b662810191 . _:b675160481 . _:b665971130 . _:b665122282 . _:b662810190 . _:b675160486 . _:b665971131 . _:b665122283 . _:b662810189 . _:b675160487 . _:b665971124 . _:b662810188 . _:b665971352 . _:b665458879 . _:b675160484 . _:b665971125 . _:b665122281 . _:b662810187 . _:b665458878 . _:b675160485 . _:b665971126 . _:b662810186 . _:b665458877 . _:b675160490 . _:b666093375 . _:b665971127 . _:b662810185 . _:b662809595 . _:b665458876 . _:b675160491 . _:b666093372 . _:b665971120 . _:b662810184 . _:b668379192 . . _:b662809594 . _:b666093374 . _:b665458875 . _:b675160488 . _:b665971121 . _:b662810183 . _:b666093369 . _:b665458874 . _:b675160489 . _:b665971122 . _:b662810182 . . _:b665458873 . _:b675160494 . _:b665971123 . _:b662810181 . _:b665122287 . _:b666093371 . _:b665458872 . _:b675160495 . _:b666093368 . _:b665971116 . _:b662810180 . _:b666092930 . _:b666093370 . _:b675160492 . _:b665458871 . _:b666092863 . _:b665971117 . _:b662810179 . . _:b675160493 . _:b665458870 . _:b665971118 . _:b662810178 . _:b666093364 . . _:b665458869 . _:b675160498 . _:b665176428 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665971119 . _:b662810177 . _:b666093367 . _:b665971358 . _:b665458868 . _:b675160499 . _:b665971112 . _:b662810176 . _:b665122262 . _:b666093185 . _:b665458867 . _:b675160496 . _:b665459349 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b666093365 . _:b665971113 . _:b662810207 . _:b665458866 . _:b675160497 . _:b675160391 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665971114 . _:b662810206 . _:b666093360 . _:b665458865 . _:b675160502 . _:b665971115 . _:b662810205 . _:b668379141 . _:b666093363 . _:b675160503 . _:b665458864 . _:b665176787 . _:b665971108 . _:b662810204 . _:b666093362 . _:b675160500 . _:b666093361 . _:b665971109 . . _:b662810203 . _:b665122261 . _:b666093357 . _:b666092846 . _:b675160501 . _:b666093358 . _:b678849612 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665971110 . _:b662810202 . _:b668379142 . _:b666093356 . _:b675160506 . . _:b665176798 . _:b665971111 . _:b662810201 . _:b675160507 . _:b662810200 . _:b665122264 . _:b665793764 . _:b675160504 . _:b666092845 . _:b678850152 . _:b665971105 . _:b662810199 . _:b666093353 . _:b675160505 . _:b666093354 . _:b665971106 . _:b662810198 . . _:b675160510 . _:b665971107 . _:b662810197 . _:b665122265 . _:b665459288 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b666093355 . _:b666092979 . _:b675160511 . _:b666092840 . _:b665971100 . _:b662810196 . _:b666092841 . _:b675160508 . _:b665971101 . _:b662810195 . _:b665793771 . _:b675160509 . _:b665971102 . _:b662810194 . . . _:b665971103 . _:b662810193 . _:b665971096 . _:b662810192 . _:b668379139 . _:b665971097 . _:b662810287 . _:b665971098 . _:b662810286 . _:b662809824 . _:b665971099 . _:b662810285 . _:b668716863 . _:b666092837 . _:b665176611 . _:b665971092 . _:b662810284 . _:b666092838 . _:b666092986 . _:b665971093 . _:b662810283 . _:b662810282 . _:b665971095 . _:b662810281 . . _:b662810280 . _:b665971266 . _:b665971205 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b662810279 . _:b662810278 . _:b666092988 . _:b665793750 . _:b662810277 . _:b675160778 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665176619 . _:b662810276 . _:b662810275 . _:b666092961 . _:b662810274 . . _:b662810273 . _:b666092820 . _:b665793757 . _:b662810272 . _:b666092966 . _:b662810303 . _:b665121933 . _:b662810302 . _:b665121932 . _:b662810301 . . _:b665121935 . _:b662810300 . _:b666092970 . _:b665458927 . _:b665121934 . _:b662810299 . _:b666092828 . _:b665458926 . _:b662810298 . _:b665458925 . . _:b662810297 . _:b665458924 . _:b662810296 . _:b665458981 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665458923 . _:b662810295 . _:b665458922 . _:b662810294 . _:b666092830 . _:b665458990 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665458921 . _:b665970762 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b662810293 . _:b665458920 . _:b668378612 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665971196 . _:b662810292 . _:b665971016 _:b665971017 . _:b665971016 _:b665971021 . _:b663277641 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665458919 . _:b665971023 _:b665971028 . _:b665971197 . _:b665971023 _:b665971024 . _:b662810291 . _:b665458918 . _:b665971198 . _:b662810290 . _:b665458917 . _:b665971199 . _:b662810289 . _:b665458916 . _:b665971192 . _:b678849998 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b662810288 . _:b665458915 . _:b665971193 . _:b662810255 . . _:b678849538 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665458914 . _:b675160850 . _:b665971194 . _:b662810254 . _:b665793522 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665458913 . _:b675160851 . _:b665971195 . _:b662810253 . . _:b665176579 . _:b665458912 . _:b665970763 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665971188 . _:b662810252 . _:b665458943 . _:b665971189 . _:b662810251 . _:b665458942 . _:b665121937 . _:b666092920 . _:b665971190 . _:b662810250 . _:b665458941 . _:b665121936 . _:b665971191 . _:b662810249 . _:b666092921 . _:b665971009 _:b665971014 . _:b665971009 _:b665971010 . _:b665458940 . _:b675160852 . _:b665121939 . _:b665971184 . _:b662810248 . _:b666092922 . _:b665458939 . _:b675160853 . _:b665121938 . _:b665122375 "requested by Melanie Courtot" . _:b665971185 . _:b662810247 . . _:b665795197 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665458938 . _:b665121941 . _:b665971186 . _:b662810246 . . _:b665458937 . _:b665121940 . _:b665971187 . _:b662810245 . _:b662809817 . _:b666093309 . _:b665458936 . _:b665971180 . _:b668378912 . _:b662810244 . _:b665458935 . _:b665971181 . _:b662810243 . _:b665458934 . _:b665971182 . _:b662810242 . _:b665458933 . _:b665971183 . _:b662810241 . _:b668378919 . _:b665458932 . _:b665971176 . _:b662810240 . _:b665458931 . _:b665971177 . _:b662810271 . _:b662809811 . _:b665458930 . _:b665971178 . _:b662810270 . _:b678850132 . _:b665458929 . _:b665795217 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665971179 . _:b662810269 . _:b665857364 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665458928 . _:b665971172 . _:b662810268 . _:b665458895 . _:b665971173 . _:b662810267 . _:b662810086 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665458894 . _:b665971030 _:b665971031 . _:b665971174 . _:b665121953 . _:b662810266 . _:b665458893 . _:b665971175 . _:b665121952 . _:b662810265 . _:b665458892 . _:b665971030 _:b665971035 . _:b665971168 . _:b662810264 . _:b668716914 . _:b665458891 . _:b665971169 . _:b662810263 . _:b665458890 . _:b665971170 . _:b662810262 . _:b665793490 . _:b665458889 . _:b665793491 . _:b665971171 . _:b665793488 . _:b662810261 . _:b665793489 . _:b665793494 . _:b665458888 . _:b665793495 . _:b665971164 . _:b665793492 . _:b662810260 . _:b665793493 . _:b665793498 . _:b665458887 . _:b665793499 . _:b665971165 . _:b665793496 . _:b662810259 . _:b665793497 . _:b665793502 . _:b665458886 . _:b665793503 . _:b665971166 . . _:b665793500 . _:b662810258 . _:b665793501 . _:b666092656 . _:b665793474 . _:b665176307 . _:b665793475 . _:b665458885 . _:b665971167 . _:b665793472 . _:b662810257 . _:b665793473 . _:b665793478 . _:b665458884 . _:b665793479 . _:b665971160 . _:b665793476 . _:b662810256 . _:b665793477 . _:b665793482 . _:b665458883 . _:b665793483 . _:b665971161 . _:b665793480 . _:b665793481 . _:b665793486 . _:b665458882 . _:b665793487 . _:b665971162 . _:b665793484 . _:b665793485 . _:b666092660 . _:b665793522 . _:b665458881 . _:b665793523 . _:b665971163 . _:b665793520 . _:b665793521 . _:b665121981 . _:b665793526 . _:b666092667 . _:b665458880 . _:b665793527 . _:b665971156 . _:b665793524 . _:b665793525 . _:b665121982 . _:b665793530 . _:b665458911 . _:b665793531 . _:b665971157 . _:b665793528 . _:b665793529 . _:b665121983 . _:b665793534 . _:b665458910 . _:b665793535 . _:b665971158 . _:b665793532 . _:b665793533 . _:b665458961 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665793506 . _:b665458909 . _:b665793507 . _:b666092889 . _:b665793504 . _:b665971159 . _:b665793505 . _:b665793510 . _:b665458908 . _:b665793511 . _:b665971152 . _:b665793508 . _:b665793509 . _:b665793514 . _:b665458907 . _:b665793515 . _:b665971153 . _:b665793512 . _:b665793513 . _:b666092669 . _:b665793518 . _:b665458906 . _:b665793519 . _:b665971154 . _:b665793516 . _:b666093078 . _:b665121972 . _:b665793517 . _:b665793426 . _:b665458905 . _:b665793427 . _:b665971155 . _:b665793424 . _:b665121973 . _:b668379186 . _:b665793425 . _:b666092643 . _:b665793430 . _:b665458904 . _:b665793431 . _:b665971148 . _:b665793428 . _:b666093056 . _:b665793429 . _:b665793434 . _:b665458903 . _:b665793435 . _:b665971149 . _:b665793432 . _:b663277716 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665793433 . _:b665793438 . _:b665458902 . _:b665793439 . _:b665971150 . _:b665793436 . _:b663277717 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665793437 . _:b665121906 . _:b665793410 . _:b668716290 _:b668716289 . _:b665458901 . _:b665793411 . _:b665971151 . _:b665793408 . _:b665793409 . _:b665793414 . _:b665458900 . _:b665793415 . _:b666092882 . _:b665793412 . _:b666093068 . _:b665121916 . _:b665971144 . _:b665793413 . _:b665793418 . _:b665458899 . _:b668716288 _:b668716290 . _:b665793419 . _:b665971145 . _:b668716308 _:b668716309 . _:b665793416 . _:b665121917 . _:b665121905 . _:b665793417 . _:b666092645 . _:b665793422 . _:b665458898 . _:b665793423 . _:b665971146 . _:b663276238 . _:b665793420 . _:b665121914 . _:b666093062 . _:b668716303 _:b668716306 . _:b665793421 . _:b665793458 . _:b665458897 . _:b668716297 _:b668716300 . _:b665793459 . _:b665971147 . _:b665793456 . _:b665121915 . _:b665793457 . _:b665793462 . _:b665176437 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665458896 . _:b665793463 . _:b665971140 . _:b668716292 _:b668716291 . _:b665793460 . _:b665121912 . _:b665793461 . _:b665793466 . _:b665458991 . _:b665793467 . _:b665971141 . _:b665793464 . _:b665121913 . _:b665121907 . _:b668716295 _:b668716294 . _:b665793465 . _:b666092649 . _:b665793470 . _:b665458990 . _:b668716293 _:b668716296 . _:b668378905 . _:b665793471 . _:b665971142 . _:b665793468 . _:b665793469 . _:b668716299 _:b668716298 . _:b665121984 . _:b665793442 . _:b665458989 . _:b665793443 . _:b665121985 . _:b665971143 . _:b665793440 . _:b666093059 . _:b665795743 . _:b665793441 . _:b665793446 . _:b665458988 . _:b665793447 . _:b665121986 . _:b665971136 . _:b665793444 . _:b665793445 . _:b665795230 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665793450 . _:b665458987 . _:b665793451 . _:b665971137 . _:b668716296 _:b668716295 . _:b665793448 . _:b665121919 . _:b665793449 . _:b665793454 . _:b665458986 . _:b665793455 . _:b666092876 . _:b668716300 _:b668716299 . _:b665793452 . _:b665971138 . _:b665121918 . _:b665793453 . _:b665458985 . _:b665971139 . _:b666093063 . _:b665458984 . _:b665458983 . _:b665458931 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665458982 . _:b668716311 _:b668716310 . _:b668378898 . _:b665458981 . _:b665121893 . _:b665458980 . _:b665458979 . _:b668716309 _:b668716311 . _:b668716315 _:b668716318 . _:b666092737 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b666093377 . _:b668716305 _:b668716304 . _:b665458978 . _:b666093121 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b666092868 . _:b666093376 . _:b668716306 _:b668716305 . . _:b665458977 . _:b666093379 . _:b665795279 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665121895 . _:b666092869 . _:b665458976 . _:b663276248 . _:b666092870 . _:b665121892 . _:b666093378 . _:b665459007 . _:b668716865 . _:b665459006 . _:b674016364 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665459005 . _:b668378613 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665459004 . _:b662810312 . _:b668716307 _:b668716314 . _:b662810032 . _:b665459003 . _:b668716317 _:b668716316 . _:b662810311 . _:b665795236 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b668716318 _:b668716317 . _:b665459002 . _:b662810310 . _:b665121896 . _:b665459001 . _:b665176902 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b662810309 . _:b668716871 . _:b666092970 . _:b665459000 . _:b668716314 _:b668716308 . _:b668716313 _:b668716312 . _:b662810308 . _:b665122005 . _:b666092972 . _:b665857131 . _:b665795235 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b668716314 _:b668716313 . _:b665458999 . _:b662810307 . _:b668379057 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665122004 . _:b668716302 _:b668716303 . _:b665458998 . _:b662810306 . _:b665458997 . _:b662810305 . _:b665458996 . _:b668378920 . _:b662810304 . _:b665458995 . _:b665458994 . _:b666093157 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665458993 . _:b665458992 . _:b665122184 . _:b668716878 . _:b662810044 . _:b665458959 . _:b665795600 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b662810045 . _:b665458958 . _:b666092968 . _:b662810046 . _:b665458957 . _:b665121858 . _:b662810047 . _:b665122191 . _:b665458956 . _:b665121857 . _:b662810007 . _:b665458955 . _:b662810006 . _:b665458954 . _:b665176856 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b662810005 . _:b665458953 . _:b665857101 . _:b662810019 . _:b662810004 . _:b665458952 . _:b662810020 . _:b662810003 . _:b665458951 . _:b662810002 . _:b665458950 . _:b665857191 . _:b662810001 . _:b665458949 . _:b665458948 . _:b665458947 . _:b666092811 . _:b675160939 "1"^^ . _:b678849851 . _:b665458946 . _:b662810026 . _:b665458945 . _:b665458944 . _:b678850128 . _:b668716789 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665458975 . _:b665856909 . _:b675160845 . _:b665458974 . _:b666092952 . _:b662810009 . _:b665176444 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665458973 . _:b665459475 "1"^^ . _:b675160941 "1"^^ . _:b666092953 . _:b662810031 . _:b662810008 . _:b665459474 "1"^^ . _:b665458972 . _:b665856906 . _:b675160940 "1"^^ . _:b666092954 . _:b665459473 "1"^^ . _:b665458971 . _:b666092955 . _:b665122205 . _:b665458970 . _:b665121857 . _:b665458969 . _:b662810003 . _:b668716291 _:b668716287 . _:b665458968 . _:b662810004 . _:b665458967 . _:b675160428 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665121858 . _:b662810005 . _:b665458966 . _:b666092944 . _:b665121972 . _:b665459467 "1"^^ . _:b665458965 . _:b675160933 "1"^^ . _:b666092945 . _:b665459466 "1"^^ . _:b665458964 . _:b665971208 . _:b675160932 "1"^^ . _:b675160848 . _:b674348290 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b666092946 . _:b665121974 . _:b665121968 . _:b665458963 . _:b665971209 . _:b675160849 . _:b666092947 . _:b675160833 . _:b665176993 . _:b665458962 . _:b665122198 . _:b665971210 . _:b666092948 . _:b665458961 . _:b665971211 . _:b665458960 . _:b665971204 . _:b675160920 "1"^^ . _:b666092950 . _:b665121970 . _:b665459055 . _:b665971132 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665971205 . _:b666092951 . _:b666092744 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665459054 . _:b665971206 . _:b675160926 "1"^^ . _:b666092936 . _:b662810014 . _:b665459053 . _:b665971207 . _:b666092937 . _:b662810015 . _:b665459052 . _:b665971200 . _:b663277894 . _:b666092938 . _:b665459051 . _:b665971201 . _:b666092939 . _:b665459050 . _:b665971202 . _:b675160855 . _:b666092940 . _:b675160854 . _:b665121976 . _:b665459049 . _:b665971203 . _:b675160854 . _:b666092941 . _:b665459048 . _:b666093240 . _:b665459047 . _:b666093241 . _:b666092943 . _:b665121979 . _:b665459460 "1"^^ . _:b678850007 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665459046 . _:b665857599 . _:b666093242 . _:b675160850 . _:b663276347 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665459045 . _:b666093243 . _:b665459044 . _:b675160815 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665459043 . _:b666093245 . _:b665459042 . _:b666092932 . _:b665121952 . _:b665459041 . _:b665458979 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b666092933 . _:b663276554 . _:b665121959 . _:b665459040 . _:b675160405 . _:b666093232 . _:b666092934 . _:b665121954 . _:b665459071 . _:b675160404 . _:b666093233 . _:b666092935 . _:b665459070 . _:b666093234 . _:b666093048 . _:b675160810 . _:b666093030 . _:b665459069 . _:b666093235 . _:b666093049 . _:b665121965 . _:b665459068 . _:b666093236 . _:b666093244 . _:b665459067 . _:b675160400 . _:b666093237 . _:b665459066 . _:b675160415 . _:b666093238 . _:b666093026 . _:b665459065 . _:b675160414 . _:b666093239 . _:b666092884 . _:b665121967 . _:b665121961 . _:b665459064 . _:b665459063 . _:b675160412 . _:b666093225 . _:b665121963 . _:b665795255 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b675160411 . _:b665459062 . _:b666093226 . _:b666093218 . _:b665795842 . _:b665459061 . _:b675160410 . _:b665795843 . _:b665795840 . _:b665795841 . _:b665459060 . _:b666093228 . _:b666092891 . _:b666092872 . _:b665459059 . _:b663276568 . _:b665459058 . _:b675160820 . _:b665459057 . _:b678849519 . _:b666093231 . _:b665121937 . _:b675160821 . _:b665459056 . _:b675160822 . _:b663276575 . _:b665459023 . _:b662809860 . _:b675160823 . _:b675160829 . _:b665459022 . _:b665121948 . _:b665970777 . _:b665459021 . _:b678849520 . _:b675160386 . _:b666093227 . _:b665970776 . _:b665459020 . _:b675160385 . _:b665459019 . _:b675160384 . _:b665970778 . _:b675160819 . _:b665459018 . _:b675160399 . _:b665176942 . _:b665121944 . _:b665459356 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665459017 . _:b675160398 . _:b663276561 . _:b662810099 . _:b665459016 . _:b662810100 . _:b665459015 . _:b666093209 . _:b662810101 . _:b665459014 . _:b678849498 . _:b666093210 . _:b665121924 . _:b662810025 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665459013 . _:b675160394 . _:b668716441 _:b668716444 . _:b665121923 . _:b666092889 . _:b665459466 . _:b665459012 . _:b675160393 . _:b662810088 . _:b665459011 . _:b665459010 . _:b675160439 . _:b666093214 . _:b665459009 . _:b665971399 _:b665971404 . _:b675160872 "1"^^ . _:b666093215 . _:b665971399 _:b665971400 . _:b675160815 . _:b665459008 . _:b666093208 . _:b665970775 . _:b665459039 . _:b675160436 . _:b666092878 . _:b665459460 . _:b665459038 . _:b668716444 _:b668716443 . _:b665971392 _:b665971397 . _:b665971392 _:b665971393 . _:b662810094 . _:b665459037 . _:b675160434 . _:b662810095 . _:b665459036 . _:b675160433 . _:b665459035 . _:b666093213 . _:b665459034 . _:b675160447 . _:b665971131 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b666093206 . _:b668716443 _:b668716442 . _:b665459033 . _:b666093207 . _:b665459032 . _:b675160445 . _:b666093192 . _:b665121930 . _:b665459031 . _:b666093193 . _:b665459030 . _:b675160830 . _:b675160443 . _:b666093194 . _:b675160871 "1"^^ . _:b665176566 . _:b665459285 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665459029 . _:b666093195 . _:b668716457 _:b668716456 . _:b665459028 . _:b674348798 . _:b666093188 . _:b668716458 _:b668716457 . _:b665459027 . _:b675160829 . _:b675160440 . _:b668716456 _:b668716455 . _:b662810029 . _:b665459026 . _:b668716449 _:b668716458 . _:b675160821 . _:b665122355 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b662810030 . _:b665459025 . _:b662810031 . _:b678849611 . _:b665459024 . _:b663276223 . _:b665459119 . _:b674016733 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665459118 . _:b675160419 . _:b666093186 . _:b675160794 . _:b665122351 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665459117 . _:b675160418 . _:b668716451 _:b668716450 . _:b666093187 . _:b665459116 . _:b675160417 . _:b663276219 . _:b666093196 . _:b665459115 . _:b675160416 . _:b666093189 . _:b665459114 . _:b668716467 _:b668716468 . _:b668716455 _:b668716454 . _:b665795666 . _:b665459473 . _:b665459113 . _:b675160430 . _:b665795667 . _:b665795664 . _:b665795665 . _:b678849862 . _:b662810051 . _:b668716454 _:b668716453 . _:b665795670 . _:b666092691 . _:b665459112 . _:b675160429 . _:b665795671 . _:b666093304 . _:b678849861 . _:b668716461 _:b668716465 . _:b668716452 _:b668716451 . _:b665795668 . _:b662810032 . _:b668716453 _:b668716452 . _:b665795669 . _:b666093296 . _:b665795674 . _:b665176568 . _:b665795675 . _:b665459111 . _:b666093305 . _:b665795672 . _:b662810033 . _:b665795673 . _:b665795678 . _:b665176569 . _:b665795679 . _:b665459110 . _:b666093306 . _:b668716476 _:b668716475 . _:b665795676 . _:b662810034 . _:b668716477 _:b668716476 . _:b668716466 _:b668716470 . _:b665795677 . _:b666092688 . _:b665795650 . _:b665459109 . _:b675160426 . _:b665795651 . _:b666093307 . _:b675160413 . _:b665795648 . _:b662810035 . _:b665795649 . _:b662810055 . _:b665795654 . _:b666092695 . _:b665459108 . _:b665795655 . _:b666093308 . _:b675160414 . _:b665795652 . _:b665795653 . _:b675160816 . _:b665795658 . _:b665459107 . _:b665795659 . _:b666093309 . _:b665459139 . _:b665795656 . _:b665795657 . _:b666093013 . _:b665795662 . _:b665459106 . _:b665795663 . _:b666093310 . _:b665795660 . _:b665795661 . _:b665795698 . _:b665459105 . _:b665795699 . _:b666093311 . _:b668716742 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665795696 . _:b665795697 . _:b668716473 _:b668716472 . _:b665793708 . _:b665795702 . _:b665459104 . _:b665795703 . _:b665793535 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665795700 . _:b665795701 . _:b666093014 . _:b668716474 _:b668716473 . _:b665795706 . _:b665459135 . _:b668716475 _:b668716474 . _:b668716436 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665795707 . _:b666093297 . _:b665795704 . _:b665795705 . _:b662810061 . _:b675160757 . _:b668716471 _:b668716477 . _:b668716462 _:b668716463 . _:b665795710 . _:b665459134 . _:b665795711 . _:b666093298 . _:b665795708 . _:b665795709 . _:b668379028 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665795682 . _:b668716469 _:b668716467 . _:b665459133 . _:b665795683 . _:b665795680 . _:b665795681 . _:b665795686 . _:b675160759 . _:b668716470 _:b668716469 . _:b665459132 . _:b665795687 . _:b665795684 . _:b665795685 . _:b668716464 _:b668716462 . _:b665795690 . _:b675160758 . _:b665459131 . _:b665795691 . _:b666093301 . _:b665795688 . _:b665795689 . _:b665795694 . _:b675160761 . _:b665459130 . _:b665795695 . _:b666093302 . _:b665795692 . _:b665795693 . _:b665795602 . _:b675160760 . _:b665459129 . _:b665795603 . _:b666093303 . _:b665795600 . _:b665795601 . _:b665795606 . _:b675160763 . _:b665459128 . _:b665795607 . _:b666093288 . _:b665795604 . _:b665795605 . _:b665795610 . _:b675160762 . _:b665459127 . _:b665795611 . _:b666093289 . _:b665795608 . _:b665795609 . _:b668716465 _:b668716464 . _:b666092673 . _:b665795614 . _:b665459126 . _:b665795615 . _:b666093290 . _:b675160835 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665795612 . _:b665122004 . _:b668716747 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665795613 . _:b665795586 . _:b665459125 . _:b665795587 . _:b666093291 . _:b665795584 . _:b665795585 . _:b666092697 . _:b665795590 . _:b665857175 . _:b665795591 . _:b665459124 . _:b666093292 . _:b668716500 _:b668716499 . _:b665795588 . _:b665795589 . _:b665795594 . _:b665459123 . _:b665795595 . _:b666093293 . _:b665795592 . _:b665122007 . _:b665795593 . _:b666092677 . _:b665795598 . _:b665459122 . _:b665795599 . _:b666093294 . _:b665795596 . _:b665122006 . _:b665795597 . _:b665795634 . _:b665459121 . _:b665795635 . _:b666093295 . _:b665795632 . _:b665795633 . _:b666092683 . _:b665795638 . _:b665459120 . _:b665795639 . _:b663276275 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b666093280 . _:b665795636 . _:b665795637 . _:b675160764 . _:b668716499 _:b668716498 . _:b665795642 . _:b665459087 . _:b665795643 . _:b666093281 . _:b665795640 . _:b665795641 . _:b665795646 . _:b665459086 . _:b665795647 . _:b666093282 . _:b665795644 . _:b665795645 . _:b665795618 . _:b663276316 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665459085 . _:b665795619 . _:b666093283 . _:b668716510 _:b668716513 . _:b665795616 . _:b665795617 . _:b665795622 . _:b665459084 . _:b665795623 . _:b666093284 . _:b665795620 . _:b665795621 . _:b665795626 . _:b665459083 . _:b668716497 _:b668716500 . _:b665795627 . _:b666093285 . _:b665795624 . _:b665122192 . _:b665795625 . _:b665795630 . _:b665459082 . _:b665795631 . _:b666093286 . _:b665795628 . _:b665795629 . _:b665795794 . _:b665459081 . _:b665795795 . _:b665176561 . _:b665795792 . _:b666093287 . _:b665122009 . _:b665795793 . _:b665795798 . _:b665459080 . _:b668716505 _:b668716504 . _:b665795799 . _:b666093272 . _:b665795796 . _:b665795797 . _:b668716503 _:b668716506 . _:b665795802 . _:b668716506 _:b668716505 . _:b665459079 . _:b665795803 . _:b665795800 . _:b665122011 . _:b665795801 . _:b665795806 . _:b665459078 . _:b675160801 . _:b665795807 . _:b665795804 . _:b665122199 . _:b665795805 . _:b666093266 . _:b665795778 . _:b665459077 . _:b675160800 . _:b668716483 _:b668716482 . _:b665795779 . _:b663277700 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665795776 . _:b665795777 . _:b665795782 . _:b668716502 _:b668716503 . _:b665459076 . _:b675160803 . _:b665795783 . _:b666093276 . _:b665795780 . _:b665122185 . _:b674016731 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665795781 . _:b665795786 . _:b665459075 . _:b675160802 . _:b665795787 . _:b665177047 . _:b668716482 _:b668716481 . _:b665795784 . _:b666093277 . _:b665795785 . _:b665795790 . _:b665459074 . _:b665795791 . _:b665795788 . _:b666093270 . _:b665795789 . _:b665795826 . _:b665459073 . _:b665795827 . _:b665795824 . _:b665121985 . _:b665795825 . _:b665795830 . _:b665459072 . _:b665795831 . _:b666093264 . _:b668716496 _:b668716497 . _:b665795828 . _:b665795829 . _:b665795834 . _:b665459103 . _:b665795835 . _:b666093265 . _:b665795832 . _:b665121987 . _:b665795833 . _:b665795838 . _:b665459102 . _:b665795839 . _:b665795836 . _:b665121996 . _:b668716509 _:b668716510 . _:b665795837 . _:b665121994 . _:b665795810 . _:b665459101 . _:b665795811 . _:b665795583 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665795808 . _:b666093275 . _:b665795809 . _:b665795814 . _:b665459100 . _:b665795815 . _:b665795812 . _:b665795813 . _:b665795818 . _:b665459099 . _:b665795819 . _:b665795816 . _:b665121999 . _:b668716581 . _:b665795817 . _:b665795822 . _:b665459098 . _:b675160383 . _:b665795823 . _:b665795161 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665795820 . _:b665795821 . _:b665795730 . _:b665459097 . _:b665795731 . _:b666093271 . _:b665795728 . _:b665122178 . _:b665795729 . _:b665795734 . _:b665459096 . _:b665795735 . _:b666093256 . _:b665795732 . _:b665795733 . _:b665795738 . _:b665459095 . _:b665795739 . _:b665795736 . _:b665795737 . _:b665795742 . _:b668716480 _:b668716483 . _:b665459094 . _:b665795743 . _:b666093258 . _:b665795740 . _:b666093250 . _:b665795741 . _:b665795714 . _:b665459093 . _:b678849638 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665795715 . _:b665795712 . _:b665795713 . _:b665795718 . _:b675160446 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665459092 . _:b668716528 _:b668716532 . _:b665795719 . _:b663277754 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665795716 . _:b665795717 . _:b665795722 . _:b665459091 . _:b665795723 . _:b666093261 . _:b665795720 . _:b665795721 . _:b665795726 . _:b665459090 . _:b665795727 . _:b666093262 . _:b665795724 . _:b665795725 . _:b665795762 . _:b665459089 . _:b665795763 . _:b666093263 . _:b665795760 . _:b665795761 . _:b665795766 . _:b665459088 . _:b665795767 . _:b666093248 . _:b665795764 . _:b665795765 . _:b668379233 . _:b665795770 . _:b665459183 . _:b665795771 . _:b666093249 . _:b665795768 . _:b666093257 . _:b665795769 . _:b665795774 . _:b665459182 . _:b678849980 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665795775 . _:b665795772 . _:b665795773 . _:b665795746 . _:b665459181 . _:b665795747 . _:b666093251 . _:b668716532 _:b668716529 . _:b665795744 . _:b665795745 . _:b665795750 . _:b665459180 . _:b665795751 . _:b665795748 . _:b668716532 _:b668716531 . _:b665795749 . _:b665795754 . _:b665459179 . _:b665795755 . _:b665971378 _:b665971383 . _:b665971378 _:b665971379 . _:b665177039 . _:b665795752 . _:b665795753 . _:b665795758 . _:b675160817 . _:b665459178 . _:b665795759 . _:b666093254 . _:b665795756 . _:b665795757 . _:b665459177 . _:b666093255 . _:b665459176 . _:b668716531 _:b668716530 . _:b675160818 . _:b665459175 . _:b665177035 . _:b663276306 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665459174 . _:b665459003 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665459173 . _:b668716521 _:b668716520 . _:b665459172 . _:b668716519 _:b668716522 . _:b668716522 _:b668716521 . _:b665459171 . _:b665177079 . _:b665971385 _:b665971386 . _:b665971385 _:b665971390 . _:b665459170 . _:b665177078 . _:b668716526 _:b668716525 . _:b665176453 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665459169 . _:b668716527 _:b668716524 . _:b665459168 . _:b668716527 _:b668716526 . _:b668716512 _:b668716511 . _:b665459199 . _:b668716545 . _:b665459198 . _:b674348754 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665459197 . _:b665459196 . _:b665459195 . _:b668716513 _:b668716512 . _:b665459194 . _:b665458957 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665176330 . _:b665459193 . _:b665459192 . _:b665459191 . . _:b668716523 _:b668716527 . _:b665459190 . _:b665459189 . _:b665970797 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665459188 . _:b665459187 . _:b666092645 . _:b665459186 . _:b666092644 . _:b665459185 . _:b665459184 . _:b665459151 . _:b665459150 . _:b665459149 . _:b674016284 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665459148 . _:b668716731 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665176348 . _:b665459147 . _:b666092661 . _:b665459146 . _:b665177085 . _:b668379082 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665459145 . _:b665459348 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665459144 . _:b674016490 . _:b665176344 . _:b665459143 . _:b666092657 . _:b665459142 . _:b665459141 . _:b665459140 . _:b665177030 . _:b665459139 . _:b666093318 . _:b674016493 . _:b665459138 . _:b665459137 . _:b665459136 . _:b665459167 . _:b674348701 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665459166 . _:b665971145 . _:b665459165 . _:b665971144 . _:b674016487 . _:b665459164 . _:b665971147 . _:b665459163 . _:b665971146 . _:b665459162 . _:b665857349 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665459161 . _:b665459160 . _:b665459159 . _:b665795610 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665459158 . _:b665459157 . _:b665176359 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665459156 . _:b665459155 . _:b674348344 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665459154 . _:b665459153 . _:b665793755 . _:b668378924 . _:b665459152 . _:b665857454 . _:b665459247 . _:b665176963 . _:b665459246 . _:b668378921 . _:b674016496 . _:b665459245 . _:b665459244 . _:b665459243 . _:b665459242 . _:b665459397 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665459241 . _:b665459240 . _:b665459239 . _:b665459238 . _:b665793748 . _:b674016886 . _:b665459237 . _:b668716378 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665459236 . _:b665459235 . _:b665459234 . _:b665459233 . _:b665459232 . _:b675160493 . _:b675160469 . _:b665459263 . _:b675160492 . _:b665459262 . _:b675160467 . _:b665459261 . _:b675160466 . _:b665459260 . _:b674348714 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665459259 . _:b668379016 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665459258 . _:b668716426 . _:b665459257 . _:b675160478 . _:b668716427 . _:b665459256 . _:b665459255 . _:b668716425 . _:b665459254 . _:b675160475 . _:b665459253 . _:b675160474 . _:b665459252 . _:b675160473 . _:b668716428 . _:b665459251 . _:b663277876 . _:b665857480 . _:b665459250 . _:b665459249 . _:b675160454 . _:b665459248 . _:b665459215 . _:b665459214 . _:b674016649 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665459213 . _:b665459212 . _:b675160449 . _:b665857475 . _:b665459211 . _:b668378992 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665459210 . _:b675160463 . _:b665459209 . _:b665459208 . _:b675160461 . _:b675160409 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665459207 . _:b665459206 . _:b665459205 . _:b675160458 . _:b665459204 . _:b665459203 . _:b675160456 . _:b665793769 . _:b665459202 . _:b665459201 . _:b666092709 . _:b665459200 . _:b665176857 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665459231 . _:b665459230 . _:b665459229 . _:b665459228 . _:b665459227 . _:b666092699 . _:b665459226 . _:b665459225 . _:b665459224 . _:b663277722 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665793762 . _:b665459223 . _:b665459221 . _:b665459220 . _:b678849482 . _:b665459219 . _:b678849717 . _:b674016362 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b678850158 . _:b665459218 . _:b665459278 . _:b665459217 . _:b675160486 . _:b663277692 . _:b665459279 . _:b668378659 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665459216 . _:b665459373 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665459311 . _:b675160484 . _:b665459310 . _:b675160483 . _:b666092680 . _:b665459309 . _:b665459308 . _:b665970836 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665459307 . _:b675160480 . _:b665459306 . _:b663277691 . _:b665122006 "requested by Melanie Courtot" . _:b665459305 . _:b665459304 . _:b675160493 . _:b665459303 . _:b665459302 . _:b675160491 . _:b665459020 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b663276343 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665459301 . _:b665459300 . _:b665459299 . _:b675160488 . _:b678849965 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665459298 . _:b665459297 . _:b665459296 . _:b678849702 . _:b665459327 . _:b666092679 . _:b665459326 . _:b678849704 . _:b665459325 . _:b665459324 . _:b665459323 . _:b668378713 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665459322 . _:b665459321 . _:b665459320 . _:b678849710 . _:b665459319 . _:b663276334 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665793622 . _:b665459318 . _:b665459317 . _:b665459316 . _:b665459315 . _:b665459314 . _:b665459313 . _:b665459312 . _:b668716430 . _:b665459279 . _:b668716429 . _:b665459278 . _:b668716429 . _:b665459277 . _:b665459276 . _:b665459275 . _:b665857384 . _:b665459274 . _:b668716425 . _:b663276268 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665459273 . _:b665459272 . _:b665176305 . _:b665459271 . _:b668716420 . _:b665459270 . _:b665459269 . _:b665459268 . _:b665459267 . _:b665459266 . _:b665459265 . _:b674348765 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665176896 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665459264 . _:b665857381 . _:b662809683 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665459295 . _:b665459022 "requested by Melanie Courtot" . _:b665177106 . _:b665177107 . _:b665459294 . _:b665177104 . _:b665857383 . _:b665177105 . _:b665177110 . _:b665177111 . _:b665459293 . _:b665177108 . _:b665857382 . _:b665177109 . _:b665177114 . _:b665177115 . _:b665459292 . _:b665177112 . _:b665177113 . _:b665177118 . _:b665177119 . _:b668716424 . _:b665459291 . _:b665177116 . _:b665177117 . _:b665458978 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665177090 . _:b665177091 . _:b665459290 . _:b665177088 . _:b665177089 . _:b665177094 . _:b665177095 . _:b665459289 . _:b665177092 . _:b665177093 . _:b665177098 . _:b665177099 . _:b668716423 . _:b665459288 . _:b665177096 . _:b665177097 . _:b665177102 . _:b665177103 . _:b665459287 . _:b665177100 . _:b665177101 . _:b665459286 . _:b665459285 . _:b666092893 . _:b665459284 . _:b665176540 . _:b665459283 . _:b665177122 . _:b665177123 . _:b665459282 . _:b665177120 . _:b665177121 . _:b665177126 . _:b663277649 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665459281 . _:b665177127 . _:b665177124 . _:b668716282 _:b668716281 . _:b665177125 . _:b665177130 . _:b668716758 . _:b665177131 . _:b665459280 . _:b665177128 . _:b665177129 . _:b668716276 _:b668716279 . _:b665459375 . _:b668716283 _:b668716282 . _:b665177132 . _:b665176579 . _:b665177133 . _:b668716756 . _:b665459374 . _:b668716279 _:b668716278 . _:b665459373 . _:b668716272 _:b668716271 . _:b668716280 _:b668716283 . _:b665176319 . _:b665459372 . _:b668716278 _:b668716277 . _:b668716753 . _:b665459371 . _:b678849789 . _:b668716752 . _:b665459370 . _:b668716767 . _:b665459369 . _:b674348649 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b668716396 . _:b665459368 . _:b668716397 . _:b665459367 . _:b668716398 . _:b665459366 . _:b666093089 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665459365 . _:b668716762 . _:b665459364 . _:b668716266 _:b668716265 . _:b665459363 . _:b668716394 . _:b668716760 . _:b665459362 . _:b668716268 _:b668716267 . _:b668716395 . _:b668716385 . _:b668716743 . _:b665459307 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665459361 . _:b665793883 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b668716271 _:b668716270 . _:b668716742 . _:b665459360 . _:b665459391 . _:b665459390 . _:b668716739 . _:b665459389 . _:b665459388 . _:b665176548 . _:b665459387 . _:b668716408 . _:b665459386 . _:b665459385 . _:b665459384 . _:b668716269 _:b668716272 . _:b665459118 . _:b668716749 . _:b665459383 . _:b663276314 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b668716404 . _:b665459382 . _:b665176617 . _:b665793477 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b668716747 . _:b665459381 . _:b668716746 . _:b665459380 . _:b665459379 . _:b665459378 . _:b668716791 . _:b665459377 . _:b665459376 . _:b665459343 . _:b665176611 . _:b678849753 . _:b668716788 . _:b665459342 . _:b665176610 . _:b668716787 . _:b665459341 . _:b668716786 . _:b665459340 . _:b668716404 . _:b665459339 . _:b668716405 . _:b665459338 . _:b668716799 . _:b665459337 . _:b668716287 _:b668716288 . _:b668716390 . _:b665459336 . _:b668716396 . _:b668716391 . _:b668716797 . _:b665459335 . _:b668716796 . _:b665459334 . _:b668716286 _:b668716292 . _:b665459333 . _:b665176394 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665459332 . _:b665971163 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b668716793 . _:b665459331 . _:b665459330 . _:b665458992 . _:b665459329 . _:b668716774 . _:b665459328 . _:b665459359 . _:b665458995 . _:b674016280 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665459358 . _:b665121998 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b668716771 . _:b665459357 . _:b665176947 . _:b665459356 . _:b668716769 . _:b665459355 . _:b665459354 . _:b665459353 . _:b665857280 . _:b665459001 . _:b668716782 . _:b665459352 . _:b665459351 . _:b665459003 . _:b668716780 . _:b665459350 . _:b665122356 . _:b668716779 . _:b665459349 . _:b668379007 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665458981 . _:b662810104 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665459348 . _:b665459347 . _:b668716776 . _:b665459346 . _:b674348396 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b674016518 . _:b668716369 . _:b668716337 . _:b665459345 . _:b665458983 . _:b665458977 . _:b668716336 . _:b665459344 . _:b665122354 . _:b665459439 . _:b665458979 . _:b668716338 . _:b665459438 . _:b665458988 . _:b665459437 . _:b665122365 . _:b665122363 . _:b665459436 . _:b665458984 . _:b665458990 . _:b665459435 . _:b678850022 . _:b665459434 . _:b665795410 . _:b665856937 . _:b665795411 . _:b665459433 . _:b665795408 . _:b665795409 . _:b665795414 . _:b665459432 . _:b665795415 . _:b665458986 . _:b665795412 . _:b665795413 . _:b665795418 . _:b665459431 . _:b665795419 . _:b665795416 . _:b665795417 . _:b665795422 . _:b665459430 . _:b665795423 . _:b665458964 . _:b665795420 . _:b665795421 . _:b665795394 . _:b668716699 . _:b665459429 . _:b665795395 . _:b665795392 . _:b665122341 . _:b665795393 . _:b665795398 . _:b668716698 . _:b665459428 . _:b665795399 . _:b665795396 . _:b665122336 . _:b665795397 . _:b665795402 . _:b668716697 . _:b665459427 . _:b665795403 . _:b665795400 . _:b665122343 . _:b665795401 . _:b665122337 . _:b665795406 . _:b668716696 . _:b665459426 . _:b665795407 . _:b665458960 . _:b665795404 . _:b665795405 . _:b665795442 . _:b665459425 . _:b665795443 . _:b665795440 . _:b665795441 . _:b665795446 . _:b665459424 . _:b665795447 . _:b665795444 . _:b665795445 . _:b665795450 . _:b665856947 . _:b665795451 . _:b665459455 . _:b665795448 . _:b665122339 . _:b665795449 . _:b665795454 . _:b665459454 . _:b665795455 . _:b665795452 . _:b665122348 . _:b665795453 . _:b665795426 . _:b665459453 . _:b665795427 . _:b665795424 . _:b665795425 . _:b665795430 . _:b665176905 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665459452 . _:b678849939 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665795431 . _:b665795428 . _:b665795429 . _:b665795434 . _:b665459451 . _:b668716726 . _:b665795435 . _:b665795432 . _:b665795433 . _:b665795438 . _:b665459450 . _:b668716727 . _:b665795439 . _:b665458968 . _:b665795436 . _:b665795437 . _:b665795346 . _:b665459449 . _:b665795347 . _:b665458975 . _:b665795344 . _:b665122345 . _:b665795345 . _:b665795350 . _:b665459448 . _:b665795351 . _:b665458970 . _:b665795348 . _:b665795349 . _:b665795354 . _:b665459447 . _:b665795355 . _:b665795352 . _:b665795353 . _:b665795358 . _:b662809656 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665459446 . _:b665795359 . _:b665795356 . _:b665795357 . _:b668716333 . _:b665795330 . _:b665459445 . _:b665795331 . _:b665795328 . _:b665795329 . _:b668716332 . _:b665795334 . _:b665459444 . _:b665795335 . _:b665795332 . _:b668716339 . _:b665795333 . _:b668716335 . _:b665795338 . _:b678849596 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665459443 . _:b665795339 . _:b665795336 . _:b665795337 . _:b668716334 . _:b665795342 . _:b665459442 . _:b665795343 . _:b665795340 . _:b665795341 . _:b668716393 . _:b665795378 . _:b668716727 . _:b665459441 . _:b665795379 . _:b665458994 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665795376 . _:b665122321 . _:b668716392 . _:b665795377 . _:b665795382 . _:b665459440 . _:b665795383 . _:b665458946 . _:b665795380 . _:b665795381 . _:b665795386 . _:b668716725 . _:b665459407 . _:b665795387 . _:b665795384 . _:b665122323 . _:b665795385 . _:b665795390 . _:b668716724 . _:b665459406 . _:b665795391 . _:b665176388 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665795388 . _:b665122332 . _:b665795389 . _:b665795362 . _:b668716723 . _:b668716377 . _:b665459405 . _:b665795363 . _:b665795607 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665795360 . _:b662810052 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665795361 . _:b665795366 . _:b668716376 . _:b665459404 . _:b665795367 . _:b665795364 . _:b665122334 . _:b665795365 . _:b665122328 . _:b665176764 "2024-09-14T08:23:03.741225"^^ . _:b665795370 . _:b665459403 . _:b665795371 . _:b665795368 . _:b665795369 . _:b665795374 . _:b668716378 . _:b665459402 . _:b665795375 . _:b665795372 . _:b665795373 . _:b665795538 . _:b665459401 . _:b665795539 . _:b665458953 . _:b665795536 . _:b665795537 . _:b665795542 . _:b665459400 . _:b665795543 . _:b665795540 . _:b665122330 . _:b665795541 . _:b665795546 . _:b668716375 . _:b665459399 . _:b665795547 . _:b665795544 . _:b665795545 . _:b665795550 . _:b668716732 . _:b665459398 . _:b665795551 . _:b665795548 . _:b665795549 . _:b665793991 . _:b668716731 . _:b665795522 . _:b665459397 . _:b665795523 . _:b665795520 . _:b665795521 . _:b665795526 . _:b668716730 . _:b665459035 "1"^^ . _:b665795527 . _:b665459396 . _:b665795524 . _:b665795525 . _:b665795530 . _:b668716729 . _:b665459395 . _:b665795531 . _:b665795528 . _:b665795529 . _:b668716955 _:b668716958 . _:b665795534 . _:b668716728 . _:b665459394 . _:b665795535 . _:b662810199 . _:b665795532 . _:b665795533 . _:b665795570 . _:b668716711 . _:b665459393 . _:b665795571 . _:b663276247 _:b663276246 . _:b665795568 . _:b663276241 _:b663276240 . _:b665795569 . _:b665795574 . _:b665459392 . _:b665795575 . _:b663276242 _:b663276241 . _:b665795572 . _:b665122306 . _:b665795573 . _:b665795578 . _:b665459036 "1"^^ . _:b665795579 . _:b665459423 . _:b665795576 . _:b665795577 . _:b665795582 . _:b665459422 . _:b665795583 . _:b663276229 _:b663276230 . _:b665795580 . _:b665795581 . _:b678849980 . _:b665795554 . _:b668716707 . _:b662810200 . _:b665795555 . _:b665459421 . _:b665795552 . _:b665122317 . _:b665795553 . _:b662810201 . _:b668716706 . _:b665795558 . _:b665459420 . _:b665795559 . _:b663276253 _:b663276252 . _:b665795556 . _:b665795557 . _:b665795562 . _:b665459419 . _:b668716957 _:b668716956 . _:b665795563 . _:b663276255 _:b663276254 . _:b665795560 . _:b665795561 . _:b665795566 . _:b668716958 _:b668716957 . _:b665459418 . _:b665795567 . _:b665857470 . _:b665795564 . _:b665793533 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b668716949 _:b668716954 . _:b665795565 . _:b665795474 . _:b668716952 _:b668716951 . _:b665459417 . _:b665795475 . _:b665795472 . _:b663276245 _:b663276248 . _:b668716953 _:b668716952 . _:b668716953 _:b668716950 . _:b665795473 . _:b665122313 . _:b665795271 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b668716718 . _:b665795478 . _:b665459416 . _:b665795479 . _:b665795476 . _:b665795477 . _:b665795482 . _:b668716954 _:b668716953 . _:b668716717 . _:b665459103 . _:b665459415 . _:b665795483 . _:b665795480 . _:b663276249 _:b663276256 . _:b665795481 . _:b665795486 . _:b665459414 . _:b665795487 . _:b663276224 _:b663276223 . _:b665795484 . _:b665795485 . _:b663276248 _:b663276247 . _:b665795458 . _:b665459413 . _:b665795459 . _:b663276251 _:b663276253 . _:b665795456 . _:b666092937 . _:b665795457 . _:b665795462 . _:b668716975 _:b668716977 . _:b665459412 . _:b668716975 _:b668716976 . _:b665795463 . _:b665795460 . _:b665795461 . _:b665857271 . _:b668716713 . _:b665795466 . _:b665459411 . _:b668716971 _:b668716970 . _:b665795467 . _:b665795464 . _:b668716968 _:b668716967 . _:b665795465 . _:b665795470 . _:b668716712 . _:b665459096 . _:b665459410 . _:b668716960 _:b668716968 . _:b665795471 . _:b665795468 . _:b668716972 _:b668716971 . _:b665795469 . _:b668716973 _:b668716972 . _:b663276244 _:b663276245 . _:b665795506 . _:b665459409 . _:b665795507 . _:b663276225 _:b663276224 . _:b665795504 . _:b665795505 . _:b665795510 . _:b665459408 . _:b665795511 . _:b663276239 _:b663276242 . _:b665857264 . _:b665795508 . _:b665795509 . _:b665795514 . _:b665459503 . _:b665795515 . _:b665795512 . _:b665795513 . _:b665795518 . _:b665459502 . _:b665795519 . _:b665795516 . _:b665795517 . _:b665795490 . _:b668716962 _:b668716961 . _:b665459501 . _:b668716963 _:b668716962 . _:b665795491 . _:b663276230 _:b663276232 . _:b663276235 _:b663276238 . _:b665795488 . _:b665795489 . _:b665795494 . _:b665459090 . _:b665459500 . _:b665795495 . _:b665795492 . _:b665795493 . _:b663276233 _:b663276229 . _:b665795498 . _:b665459499 . _:b665795499 . _:b663276228 _:b663276234 . _:b665795221 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665795496 . _:b665795497 . _:b665795502 . _:b665459498 . _:b668716967 _:b668716966 . _:b668716327 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665795503 . _:b663276234 _:b663276233 . _:b668716969 _:b668716973 . _:b665795500 . _:b665795501 . _:b663276232 _:b663276231 . _:b665795154 . _:b665459497 . _:b665795155 . _:b665795152 . _:b665795153 . _:b665795158 . _:b668716966 _:b668716965 . _:b665459496 . _:b668716991 _:b668716992 . _:b665795159 . _:b665795156 . _:b668716964 _:b668716963 . _:b665795157 . _:b668716965 _:b668716964 . _:b665795162 . _:b665459495 . _:b665795163 . _:b665795160 . _:b665795161 . _:b665795166 . _:b665459494 . _:b665795167 . _:b663276250 _:b663276251 . _:b668716989 _:b668716991 . _:b665795164 . _:b663276237 _:b663276236 . _:b665795165 . _:b665795138 . _:b665459493 . _:b665795139 . _:b663276238 _:b663276237 . _:b665795136 . _:b665795137 . _:b665795142 . _:b665459492 . _:b665795143 . _:b665795140 . _:b665795141 . _:b665795146 . _:b665459491 . _:b665795147 . _:b665458915 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665795144 . _:b678849817 . _:b665795145 . _:b668716989 _:b668716990 . _:b668378620 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665795150 . _:b665459490 . _:b665795151 . _:b665795148 . _:b678849637 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665795149 . _:b665795186 . _:b665459489 . _:b665795187 . _:b665459025 . _:b674016509 . _:b665795184 . _:b665795185 . _:b665795190 . _:b668716986 _:b668716987 . _:b665459488 . _:b665795191 . _:b665795188 . _:b665795189 . _:b665795194 . _:b665459519 . _:b665795195 . _:b665459027 . _:b668716984 _:b668716985 . _:b665795192 . _:b665795193 . _:b665795198 . _:b665459518 . _:b665795199 . _:b665795196 . _:b665795197 . _:b665795170 . _:b665459517 . _:b663276460 . _:b665795171 . _:b665795168 . _:b665795169 . _:b665795174 . _:b665459516 . _:b665795175 . _:b665795172 . _:b665795173 . _:b668716982 _:b668716984 . _:b665795178 . _:b668716982 _:b668716983 . _:b665459515 . _:b665795179 . _:b665795176 . _:b665795177 . _:b665121838 . _:b665795182 . _:b665459514 . _:b665795183 . _:b665795180 . _:b665795181 . _:b668716977 _:b668716978 . _:b665459513 . _:b665857257 . _:b665459512 . _:b665459511 . _:b668716979 _:b668716980 . . _:b665459510 . _:b665459010 . _:b665459012 . _:b665795552 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665459509 . _:b665459508 . _:b665459507 . _:b665459015 . _:b665459506 . "Barry Smith"@en . _:b665795122 . _:b665176775 . _:b665795123 . _:b665459505 . _:b665795120 . _:b665795121 . _:b665795126 . _:b665459504 . _:b665795127 . _:b665795124 . _:b665795125 . . _:b665795130 . _:b663276256 _:b663276255 . _:b665459471 . _:b665795131 . _:b665795128 . _:b665795129 . _:b665176402 . _:b665795134 . _:b665176403 . _:b665795135 . _:b665459470 . _:b665459020 . _:b665795132 . _:b665176400 . _:b665176401 . _:b665795133 . _:b663276257 _:b663276260 . _:b665176406 . _:b665795106 . _:b665121841 . _:b665176407 . _:b665795107 . _:b663276256 _:b663276250 . _:b665459469 . _:b665176404 . _:b665176405 . _:b665176410 . _:b665795110 . _:b665176411 . _:b665795111 . _:b665459468 . _:b665176408 . _:b665795108 . _:b665176409 . _:b665795109 . _:b665176414 . _:b665795114 . _:b665176415 . _:b665795115 . _:b665459467 . . _:b665459023 . _:b665795112 . _:b665176412 . _:b665176413 . _:b665795113 . _:b665176386 . _:b665795118 . _:b665176387 . _:b665795119 . _:b663276259 _:b663276258 . _:b665459466 . _:b665459022 . _:b665795116 . _:b665176384 . _:b665176385 . _:b665795117 . _:b665176390 . _:b665795282 . _:b665857353 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665795283 . _:b665459465 . _:b665176391 . _:b665176388 . _:b665795280 . _:b665176389 . _:b665795281 . _:b665176394 . _:b665795286 . _:b665176395 . _:b665795287 . _:b665459464 . _:b665176392 . _:b665795284 . _:b665176393 . _:b665795285 . _:b665176398 . _:b665795290 . _:b665176399 . _:b665795291 . _:b665459463 . _:b665176396 . _:b665795288 . _:b662810130 . _:b665795289 . _:b665176397 . _:b665458953 . _:b665795294 . _:b663276260 _:b663276259 . _:b665176434 . _:b665176435 . _:b665795295 . _:b665459462 . _:b665176432 . _:b665795292 . _:b665176433 . _:b668716993 _:b668716994 . _:b665795293 . _:b665458952 . _:b665795266 . _:b665176438 . _:b665176439 . _:b665795267 . _:b665459461 . _:b665176436 . _:b665795264 . _:b662810156 . _:b665795265 . _:b665122373 . _:b665176437 . _:b665458955 . _:b665795270 . _:b665176442 . _:b665176443 . _:b665795271 . _:b665459460 . _:b665176440 . _:b665795268 . _:b665176441 . _:b665795269 . _:b665458954 . _:b665795274 . _:b665176446 . _:b665176447 . _:b665795275 . _:b665459459 . _:b662810133 . _:b665795272 . _:b665176444 . _:b665176445 . _:b665795273 . _:b665122568 . _:b665458957 . _:b665795278 . _:b665176418 . _:b665176419 . _:b665795279 . _:b665459458 . _:b665176416 . _:b668716996 _:b668716997 . _:b665795276 . _:b662810132 . _:b665795277 . _:b665122368 . _:b665176417 . _:b665458956 . _:b665795314 . _:b665176422 . _:b662810119 . _:b662810135 . _:b665795315 . _:b665459457 . _:b665176423 . _:b665176420 . _:b663276467 . _:b665795312 . _:b665176421 . _:b665795313 . _:b665122375 . _:b665176426 . _:b665795318 . _:b665176427 . _:b665795319 . _:b665459456 . _:b665176424 . _:b665795316 . _:b665176425 . _:b665795317 . _:b662810118 . _:b668716998 _:b668716999 . _:b665795322 . _:b665176430 . _:b665176431 . _:b668716996 _:b668716998 . _:b665795323 . _:b665459487 . _:b665176428 . _:b665795320 . _:b665176429 . _:b665795321 . _:b665176338 . _:b665795326 . _:b665176339 . _:b665795327 . _:b665459486 . _:b665176336 . _:b665795324 . _:b665176337 . _:b665795325 . _:b665122380 . _:b665176342 . _:b665795298 . _:b665176343 . _:b665795299 . _:b665459485 . _:b665176340 . _:b665795296 . _:b665176341 . _:b665795297 . _:b665176346 . _:b665795302 . _:b665176347 . _:b665795303 . _:b665459484 . _:b665176344 . _:b665795300 . _:b665176345 . _:b665795301 . _:b665122561 . _:b665176350 . _:b665795306 . _:b665176351 . _:b665795307 . _:b665459483 . _:b665176348 . _:b668717000 _:b668717001 . _:b665795304 . _:b665176349 . _:b665795305 . _:b665458949 . _:b665795310 . _:b665176322 . _:b665176323 . _:b665795311 . _:b665459482 . _:b665176320 . _:b665795308 . _:b665458985 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665176321 . _:b665795309 . _:b665122376 . _:b665458948 . _:b665795218 . _:b665176326 . . _:b665795219 . _:b665459481 . _:b665176327 . _:b665176324 . _:b665795216 . _:b665176325 . _:b665795217 . _:b665458951 . _:b665795222 . _:b665176330 . _:b665176331 . _:b665795223 . _:b665459480 . _:b665176328 . _:b665795220 . _:b665176329 . _:b665795221 . _:b665122378 . _:b665857130 . _:b665458950 . _:b665795226 . _:b665176334 . _:b665176335 . _:b665795227 . _:b665459479 . _:b665176332 . _:b665795224 . _:b665176333 . _:b665795225 . _:b665176370 . _:b665795230 . _:b666092921 . _:b665458969 . _:b665795231 . _:b665459478 . _:b665176371 . _:b665176368 . _:b665795228 . _:b665176369 . _:b665795229 . _:b665176374 . _:b665795202 . _:b665458968 . _:b665795203 . _:b665459477 . _:b665176375 . _:b665176372 . _:b665795200 . _:b665176373 . _:b665795201 . _:b662810160 . _:b665795206 . _:b665176378 . _:b665176379 . _:b665795207 . _:b663277746 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665459476 . _:b665176376 . _:b665795204 . _:b665176377 . _:b665795205 . _:b665176382 . _:b665795210 . _:b665176383 . _:b665795211 . _:b665459475 . _:b665176380 . _:b665795208 . _:b665176381 . _:b665795209 . _:b665176354 . _:b665795214 . _:b665176355 . _:b665795215 . _:b665459474 . _:b665176352 . _:b665795212 . _:b665176353 . _:b665795213 . _:b665176358 . _:b665795250 . _:b666092924 . _:b665176359 . _:b665795251 . _:b665459473 . _:b665176356 . _:b665795248 . _:b665176357 . _:b665795249 . _:b662810136 . _:b665795254 . _:b666092915 . _:b665176362 . _:b665176363 . _:b665795255 . _:b665459472 . _:b662810137 . _:b665795252 . _:b665176360 . _:b665176361 . _:b665795253 . _:b665176366 . _:b665795258 . _:b665176367 . _:b665795259 . _:b665459567 . _:b665176364 . _:b665795256 . _:b665176365 . _:b665795257 . _:b665176530 . _:b665795262 . _:b665176531 . _:b665795263 . _:b665122305 . _:b665459566 . _:b665176528 . _:b665795260 . _:b665176529 . _:b665795261 . _:b662810153 . _:b665795234 . _:b665176534 . _:b665176535 . _:b665795235 . _:b665122304 . _:b665459565 . _:b665176532 . _:b665795232 . _:b662810154 . _:b665795233 . _:b665176533 . _:b665176538 . _:b665795238 . _:b662810152 . _:b665795239 . _:b665122307 . _:b665459564 . _:b665176539 . _:b662810155 . _:b665795236 . _:b665176536 . _:b662810151 . _:b665176537 . _:b665795237 . _:b665176542 . _:b665795242 . _:b666092918 . _:b665176543 . _:b665795243 . _:b665122306 . _:b665459563 . _:b665176540 . _:b665795240 . _:b665176541 . _:b665795241 . _:b665176514 . _:b665795246 . _:b665176515 . _:b665795247 . _:b665122309 . _:b665459562 . _:b665176512 . _:b665795244 . _:b665176513 . _:b665795245 . _:b665176518 . _:b665176519 . _:b665122308 . _:b665459561 . _:b662810134 . _:b665176516 . _:b665176517 . _:b665176522 . _:b665176523 . _:b665459560 . _:b665176520 . _:b665176521 . _:b665176526 . _:b665176527 . _:b665122310 . _:b665459559 . _:b665176524 . _:b665176525 . _:b665176562 . _:b665176563 . _:b665459558 . _:b665176560 . _:b665176561 . _:b665176566 . _:b665176567 . _:b665459557 . _:b665176564 . _:b665176434 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665176565 . _:b662809658 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665176570 . . _:b665176571 . _:b665459556 . _:b665176568 . _:b665176569 . _:b665176574 . _:b663276222 _:b663276225 . _:b665176575 . _:b665459555 . _:b665176572 . _:b665176573 . _:b665176546 . _:b665176547 . _:b665459554 . _:b665458988 . _:b665176544 . _:b665176545 . _:b665176550 . _:b665176551 . _:b665459553 . _:b665458989 . _:b665176548 . _:b665176549 . . _:b665176554 . _:b668716806 . _:b665176555 . _:b665459552 . _:b665176552 . _:b665176553 . _:b665176558 . _:b665176559 . _:b668378653 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665459583 . _:b665176556 . _:b665176557 . _:b665176466 . _:b668716804 . _:b665176467 . _:b665459582 . _:b665176464 . _:b665122321 . . _:b665176465 . _:b665176470 . _:b665176471 . _:b665459581 . _:b665176468 . _:b665176469 . _:b665176474 . _:b665176475 . _:b665459580 . _:b665176472 . _:b665176473 . _:b665176478 . _:b668716801 . _:b665857429 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665176479 . _:b665459579 . _:b665176476 . _:b665122322 . _:b665176477 . _:b665176450 . _:b665176451 . _:b665459578 . _:b665176448 . _:b665176449 . _:b665176454 . _:b665176455 . _:b665459577 . _:b665176452 . _:b665176453 . _:b665176458 . _:b665176459 . _:b665459576 . _:b665176456 . _:b665176457 . _:b665176462 . _:b665176463 . _:b665459575 . _:b665176460 . _:b665176461 . _:b665176498 . _:b663276426 . _:b665176499 . _:b665459574 . _:b665176496 . _:b665459000 . _:b665176497 . _:b665459001 . _:b665176502 . _:b665970794 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665459573 . _:b665176503 . _:b665176500 . _:b665176501 . _:b665459002 . _:b665176506 . _:b665176507 . _:b663276221 _:b663276220 . _:b665459572 . _:b665176504 . _:b665176505 . _:b665176510 . _:b668716842 _:b668716841 . _:b665176511 . _:b668716843 _:b668716842 . _:b663276211 _:b663276214 . _:b665459571 . _:b665176508 . _:b665176509 . _:b665176482 . _:b665176483 . _:b665459570 . _:b665176480 . _:b668716844 _:b668716843 . _:b665176481 . _:b668716845 _:b668716844 . _:b665176486 . _:b665176487 . _:b665459569 . _:b665176484 . _:b663276220 _:b663276219 . _:b665176485 . _:b665176490 . _:b668716835 _:b668716839 . _:b666093192 . _:b665176491 . _:b665459568 . _:b665176488 . _:b665176489 . _:b665176494 . _:b665122350 . _:b666093195 . _:b665176495 . _:b665459535 . _:b665176492 . _:b665176493 . _:b675160389 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665122351 . _:b668716846 _:b668716845 . _:b668716833 _:b668716831 . _:b665459534 . _:b668716834 _:b668716833 . _:b665459533 . _:b665857100 . _:b665459532 . _:b663276213 _:b663276212 . _:b663276208 _:b663276207 . _:b665459531 . _:b663276214 _:b663276213 . _:b663276218 _:b663276221 . _:b665459530 . _:b668716840 _:b668716846 . _:b668716839 _:b668716838 . _:b665459529 . _:b665458997 . _:b665122341 . _:b663276406 . _:b668716806 . _:b665459528 . _:b668716838 _:b668716836 . _:b663276210 _:b663276209 . _:b665458998 . _:b665122342 . _:b668716805 . _:b665459527 . _:b665458999 . _:b665459526 . _:b663276411 . _:b665459525 . _:b665459524 . _:b665459523 . _:b668716849 _:b668716852 . _:b665459522 . _:b665795246 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665459521 . _:b663276414 . _:b666093240 . _:b665459520 . _:b665459021 . _:b665459551 . _:b665459020 . _:b674016865 . _:b665459550 . _:b665122352 . _:b665459549 . _:b665122353 . _:b665459548 . _:b665122354 . _:b668716852 _:b668716851 . _:b663276385 . _:b665459547 . _:b665122355 . _:b665459546 . _:b666093233 . _:b665459545 . _:b665459544 . _:b675160781 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b668716851 _:b668716850 . _:b666093235 . _:b665459543 . _:b668716836 _:b668716837 . _:b666093234 . _:b665459542 . _:b665459541 . _:b678850006 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b666093236 . _:b665459540 . _:b665459539 . _:b663276543 _:b663276547 . _:b663276392 . _:b665459538 . _:b665176443 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b666093225 . _:b665459537 . _:b668716831 _:b668716832 . _:b665857000 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665857128 . _:b665459536 . _:b668716810 _:b668716813 . _:b665794138 . _:b666093226 . _:b666093231 . _:b668716813 _:b668716812 . _:b665970679 . _:b665970809 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665122374 . _:b665794131 . _:b665793546 . _:b665122373 . _:b665176306 . _:b668716812 _:b668716811 . _:b665176307 . _:b668716823 _:b668716822 . _:b665176304 . _:b665176305 . _:b665176310 . _:b665176311 . _:b665176308 . _:b665176309 . _:b665176314 . _:b668716822 _:b668716821 . _:b665795183 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665176315 . _:b665176312 . _:b668716820 _:b668716819 . _:b665176313 . _:b668716821 _:b668716820 . _:b665176318 . _:b665176319 . _:b665176316 . _:b665176317 . _:b674016887 . _:b665176298 . _:b665176299 . _:b665176297 . _:b665176302 . _:b665176303 . _:b665176300 . _:b665857085 . _:b665176301 . _:b665794124 . _:b678849611 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b668716830 _:b668716834 . _:b668716818 _:b668716827 . _:b665795648 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668716825 _:b668716824 . _:b674016859 . _:b668716826 _:b668716825 . _:b668716827 _:b668716826 . _:b663276299 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668716824 _:b668716823 . _:b662810261 . _:b665794117 . _:b678850186 . _:b674016856 . _:b674016862 . _:b666092752 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b675160571 "1"^^ . _:b675160570 "1"^^ . _:b668716921 _:b668716920 . _:b668716922 _:b668716919 . _:b668716922 _:b668716921 . _:b668716918 _:b668716922 . _:b665176914 . _:b665176915 . _:b665176912 . _:b668716610 . _:b665176913 . _:b665176918 . _:b665176919 . _:b665176916 . _:b668716611 . _:b665176917 . _:b665176922 . _:b665176923 . _:b665176920 . _:b675160572 "1"^^ . _:b668716608 . _:b665176921 . _:b665176926 . _:b665176927 . _:b665459105 "1"^^ . _:b665176924 . _:b675160563 "1"^^ . _:b668716609 . _:b665176925 . _:b665176898 . _:b665176899 . _:b665459104 "1"^^ . _:b665176896 . _:b668716614 . _:b665176897 . _:b665176902 . _:b668378647 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665176903 . _:b665176900 . _:b668716615 . _:b665176901 . _:b665176906 . _:b665176907 . _:b665459592 . _:b665176904 . _:b668716612 . _:b665176905 . _:b665176910 . _:b665176911 . _:b665459591 . _:b665176908 . _:b668716613 . _:b665176909 . _:b665176946 . _:b665176947 . _:b668716438 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665795843 . _:b665459590 . _:b665176944 . _:b668716618 . _:b665176945 . _:b665176950 . _:b665176951 . _:b665459589 . _:b665176948 . _:b668716619 . _:b665176949 . _:b665176954 . _:b665176955 . _:b665459588 . _:b665176952 . _:b675160564 "1"^^ . _:b668716616 . _:b665121867 . _:b665176953 . _:b665176958 . _:b665176959 . _:b665459587 . _:b665459097 "1"^^ . _:b665176956 . _:b668716617 . _:b665176957 . _:b665176930 . _:b665176931 . _:b665459586 . _:b665459096 "1"^^ . _:b665176928 . _:b668716622 . _:b665176929 . _:b665122214 . _:b665176934 . _:b665176935 . _:b665459585 . _:b665459103 "1"^^ . _:b665176932 . _:b668716896 _:b668716895 . _:b668716623 . _:b665176933 . _:b665176938 . _:b665176939 . _:b665459584 . _:b665176936 . _:b668716896 _:b668716893 . _:b668716620 . _:b665176937 . _:b665176942 . _:b665176943 . _:b665176940 . _:b668716897 _:b668716901 . _:b668716621 . _:b665176941 . _:b662810278 . _:b665176850 . _:b665176851 . _:b665176848 . _:b668716626 . _:b665176849 . _:b665176854 . _:b665176855 . _:b665176852 . _:b675160557 "1"^^ . _:b668716627 . _:b665857106 . _:b665176853 . _:b665176858 . _:b665176859 . _:b665459090 "1"^^ . _:b665176856 . _:b668716624 . _:b665176857 . _:b665176862 . _:b666093311 . _:b665176863 . _:b678849480 . _:b662810276 . _:b668716625 . _:b665176860 . _:b665176861 . _:b668716362 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665176834 . _:b665176835 . _:b665176832 . _:b668716630 . _:b665176833 . _:b668716901 _:b668716898 . _:b665176838 . _:b665857584 . _:b665176839 . _:b665176836 . _:b668716631 . _:b665176837 . _:b665176842 . _:b668716900 _:b668716899 . _:b665176843 . _:b665176840 . _:b668716628 . _:b665857111 . _:b668716901 _:b668716900 . _:b665176841 . _:b665176846 . _:b665176847 . _:b665176844 . _:b675160551 "1"^^ . _:b668716629 . _:b665176845 . _:b668716913 _:b668716914 . _:b665176882 . _:b665176883 . _:b665176880 . _:b668716634 . _:b665176881 . _:b665176886 . _:b665176887 . _:b662810275 . _:b668716888 _:b668716891 . _:b668716635 . _:b665176884 . _:b662810272 . _:b665176885 . _:b665176890 . _:b665795320 . _:b665176891 . _:b665176888 . _:b668716632 . _:b662810274 . _:b665176889 . _:b665176894 . _:b662810277 . _:b665176895 . _:b665176892 . _:b668716633 . _:b665176893 . _:b668716865 _:b668716866 . _:b665176866 . _:b665176867 . _:b668716881 _:b668716880 . _:b665176864 . _:b668716638 . _:b665176865 . _:b668716790 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665176870 . _:b668716882 _:b668716881 . _:b665176871 . _:b665176868 . _:b668716639 . _:b665176869 . _:b665176874 . _:b665176875 . _:b665795598 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665176872 . _:b668716636 . _:b665176873 . _:b665176878 . _:b665176879 . _:b668716871 _:b668716872 . _:b665176876 . _:b668716637 . _:b665176877 . _:b665177042 . _:b665177043 . _:b665459084 "1"^^ . _:b665177040 . _:b668716642 . _:b665177041 . _:b662810281 . _:b665177046 . _:b665177047 . _:b665177044 . _:b668716643 . _:b662810282 . _:b668716895 _:b668716894 . _:b665177045 . _:b665177050 . _:b662810280 . _:b665177051 . _:b662810283 . _:b668716640 . _:b665177048 . _:b665177049 . _:b665177054 . _:b665177055 . _:b668716892 _:b668716896 . _:b665177052 . _:b668716641 . _:b665177053 . _:b665971338 . _:b665177026 . _:b665177027 . _:b665177024 . _:b668716646 . _:b665177025 . _:b665177030 . _:b665177031 . _:b665177028 . _:b668716647 . _:b665177029 . _:b665177034 . _:b665177035 . _:b665177032 . _:b668716644 . _:b665177033 . _:b665177038 . _:b668716890 _:b668716889 . _:b665177039 . _:b668716891 _:b668716890 . _:b665177036 . _:b668716645 . _:b665177037 . _:b665177074 . _:b668716878 _:b668716879 . _:b665177075 . _:b665177072 . _:b668716650 . _:b665177073 . _:b678849789 . _:b665177078 . _:b665177079 . _:b665177076 . _:b668716651 . _:b665177077 . _:b665177082 . _:b665177083 . _:b665177080 . _:b668716648 . _:b665177081 . _:b665177086 . _:b665177087 . _:b668379289 . _:b665177084 . _:b668716649 . _:b665177085 . _:b665177058 . _:b665177059 . _:b665177056 . _:b668716654 . _:b665177057 . _:b668716879 _:b668716882 . _:b665177062 . _:b665177063 . _:b665177060 . _:b668716655 . _:b665177061 . _:b665177066 . _:b668716872 _:b668716875 . _:b668716868 _:b668716867 . _:b665177067 . _:b665177064 . _:b668716652 . _:b665177065 . _:b668716869 _:b668716868 . _:b665177070 . _:b665795624 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665177071 . _:b665177068 . _:b668716653 . _:b665177069 . _:b665176978 . _:b666092826 . _:b665176979 . _:b665176976 . _:b668716658 . _:b665176977 . _:b665176982 . _:b665176983 . _:b665176980 . _:b668716874 _:b668716873 . _:b668716659 . _:b665176981 . _:b665176986 . _:b665176987 . _:b665176984 . _:b668716656 . _:b665176985 . _:b665176990 . _:b665176991 . _:b668716875 _:b668716874 . _:b665176988 . _:b668716657 . _:b665176989 . _:b665176962 . _:b665176963 . _:b665176960 . _:b668716866 _:b668716869 . _:b668716662 . _:b665176961 . _:b665176966 . _:b665176967 . _:b665176964 . _:b668716663 . _:b665176965 . _:b665176970 . _:b665176971 . _:b665176968 . _:b668716660 . _:b665176562 . _:b665176969 . _:b665176974 . _:b665176975 . _:b665176972 . _:b668716661 . _:b665176973 . _:b665177010 . _:b665177011 . _:b665177008 . _:b668716666 . _:b665177009 . _:b665177014 . _:b665177015 . _:b665177012 . _:b668716667 . _:b665177013 . _:b665177018 . _:b665177019 . _:b665177016 . _:b668716664 . _:b665177017 . _:b662810027 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665177022 . _:b666092823 . _:b665177023 . _:b665177020 . _:b668716665 . _:b665177021 . _:b665176994 . _:b665176995 . _:b665176992 . _:b668716670 . _:b665176993 . _:b665176998 . _:b665176999 . _:b665176996 . _:b668716671 . _:b665176997 . _:b663276494 . _:b665177002 . _:b665177003 . _:b665177000 . _:b668716668 . _:b665857013 . _:b665177001 . _:b665177006 . _:b665177007 . _:b665177004 . _:b668716669 . _:b665857012 . _:b665177005 . _:b665176658 . _:b665793890 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665176659 . _:b668379022 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665176656 . _:b668716546 . _:b665857015 . _:b665176657 . _:b665176662 . _:b665176663 . _:b665176660 . _:b668716547 . _:b665857014 . _:b665176661 . _:b663276530 . _:b665176664 . _:b668716544 . _:b668716545 . _:b665176642 . _:b665176643 . _:b665176640 . _:b668716550 . _:b665176641 . _:b663276535 . _:b665176646 . _:b665176647 . _:b665176644 . _:b668716551 . _:b665176645 . _:b665176650 . _:b665176651 . _:b665176648 . _:b668716548 . _:b665176649 . _:b665176654 . _:b665176655 . _:b665176652 . _:b675160502 "1"^^ . _:b668716549 . _:b665176653 . _:b666092946 . _:b668716554 . _:b675160503 "1"^^ . _:b665971067 . _:b668716555 . _:b668378638 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b663276418 _:b663276417 . _:b668716552 . _:b663276419 _:b663276418 . _:b663276438 _:b663276439 . _:b668716553 . _:b668716558 . _:b666092857 . _:b663276417 _:b663276416 . _:b668716559 . _:b666092856 . _:b668716556 . _:b668716557 . _:b665176594 . _:b665176595 . _:b665176592 . _:b668716562 . _:b665176593 . _:b665176598 . _:b665176599 . _:b665176596 . _:b668716563 . _:b665176597 . _:b665176602 . _:b665176603 . _:b665176600 . _:b668716560 . _:b663276424 _:b663276423 . _:b665176601 . _:b665176606 . _:b663276444 _:b663276445 . _:b665176607 . _:b663276425 _:b663276424 . _:b665176604 . _:b668716561 . _:b665176605 . _:b665176578 . _:b666092862 . _:b665176579 . _:b665176576 . _:b668716566 . _:b665176577 . _:b665176582 . _:b663276422 _:b663276425 . _:b665176583 . _:b668716985 . _:b665176580 . _:b668716567 . _:b665176581 . _:b665176586 . _:b665176587 . _:b665176584 . _:b668716564 . _:b665176585 . _:b665176590 . _:b665176591 . _:b665176588 . _:b668716565 . _:b665176589 . _:b665176626 . _:b665176627 . _:b665176624 . _:b668716570 . _:b665176625 . _:b665176630 . _:b665176631 . _:b665176628 . _:b668716571 . _:b665176629 . _:b665176634 . _:b665176635 . _:b665176632 . _:b668716568 . _:b665176633 . _:b665176638 . _:b665122148 . _:b665176639 . _:b665176636 . _:b668716569 . _:b665176637 . _:b665176610 . _:b665176611 . _:b665176608 . _:b668716574 . _:b665176609 . _:b665176614 . _:b666093314 . _:b665176615 . _:b665176612 . _:b668716575 . _:b665176613 . _:b665176618 . _:b665176619 . _:b665176616 . _:b668716572 . _:b665176617 . _:b663276525 . _:b665176622 . _:b665176623 . _:b665458937 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665176620 . _:b668716573 . _:b665176621 . _:b665176786 . _:b665176787 . _:b665176784 . _:b668716578 . _:b665176785 . _:b665176790 . _:b665176791 . _:b665176788 . _:b668716579 . _:b665176789 . _:b665176794 . _:b665176795 . _:b665176792 . _:b668716576 . _:b665176793 . _:b665176798 . _:b665176799 . _:b663276447 _:b663276446 . _:b665176796 . _:b668716577 . _:b665176797 . _:b663276445 _:b663276448 . _:b665176770 . _:b665857060 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665176771 . _:b665176768 . _:b668716582 . _:b665176769 . _:b665176774 . _:b665176775 . _:b665176772 . _:b668716583 . _:b665176773 . _:b665176778 . _:b665176779 . _:b665176776 . _:b668716580 . _:b665176777 . _:b665176782 . _:b665176783 . _:b665176780 . _:b675160412 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b668716581 . _:b665176781 . _:b663276441 _:b663276440 . _:b665176818 . _:b665176819 . _:b663276439 _:b663276442 . _:b665176816 . _:b668716586 . _:b663276442 _:b663276441 . _:b665176817 . _:b665176822 . _:b665176823 . _:b665176820 . _:b668716587 . _:b665176821 . _:b665176826 . _:b665176827 . _:b665176824 . _:b668716584 . _:b665176825 . _:b663276441 . _:b665458993 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665176830 . _:b665176831 . _:b665176828 . _:b668716585 . _:b665176829 . _:b665176802 . _:b665176803 . _:b665176800 . _:b668716590 . _:b663276452 _:b663276455 . _:b665176801 . _:b663276447 . _:b663276273 . _:b665176806 . _:b665176807 . _:b665176804 . _:b668716591 . _:b665176805 . _:b665971252 . _:b665176810 . _:b665176811 . _:b665176808 . _:b668716588 . _:b665176809 . _:b665176814 . _:b663276448 _:b663276447 . _:b665176815 . _:b665176812 . _:b668716589 . _:b665176813 . _:b663276463 _:b663276462 . _:b668716594 . _:b668716595 . _:b665176935 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665121982 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b674348760 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b668716592 . _:b668716593 . _:b668716598 . _:b668716599 . _:b663276455 _:b663276454 . _:b665458905 . _:b668716596 . _:b668716597 . _:b663276454 _:b663276453 . _:b663276461 _:b663276464 . _:b668716602 . _:b668379038 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b668716684 _:b668716687 . _:b668716675 _:b668716674 . _:b668716603 . _:b668716999 . _:b668716600 . _:b665176766 . _:b665176767 . _:b665176764 . _:b668716674 _:b668716673 . _:b668716601 . _:b665795589 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665176765 . _:b663276424 . _:b668716606 . _:b663276465 _:b663276469 . _:b668716607 . _:b668716992 . _:b668716604 . _:b665795178 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b668716605 . _:b663276473 _:b663276472 . _:b668716678 _:b668716680 . _:b663276474 _:b663276473 . _:b668716738 . _:b665122013 . _:b663276474 _:b663276471 . _:b665176390 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b663276470 _:b663276474 . _:b665122012 . _:b668716739 . _:b668716682 _:b668716681 . _:b663276451 _:b663276452 . _:b668716676 _:b668716683 . _:b663276469 _:b663276466 . _:b668716736 . _:b663276464 _:b663276463 . _:b668716683 _:b668716682 . _:b678849570 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b663276468 _:b663276467 . _:b668716737 . _:b668716683 _:b668716677 . _:b668716680 _:b668716679 . _:b663276469 _:b663276468 . _:b668716686 _:b668716685 . _:b668716742 . _:b666092865 . _:b668716743 . _:b666092864 . _:b668716687 _:b668716686 . _:b668716740 . _:b666092867 . _:b663276416 _:b663276415 . _:b668716741 . _:b663276468 . _:b668716672 _:b668716675 . _:b666092866 . _:b668716746 . _:b668716747 . _:b668716744 . _:b663276473 . _:b666092871 . _:b668716745 . _:b668716750 . _:b665458873 . _:b668716751 . _:b668716748 . _:b665857560 . _:b668716677 _:b668716678 . _:b663276486 _:b663276487 . _:b668716749 . _:b665458874 . _:b668716754 . _:b668716755 . _:b668716752 . _:b668716753 . _:b668716758 . _:b668716759 . _:b663276454 . _:b668716756 . _:b668716757 . _:b668716762 . _:b662809735 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665458874 . _:b668716763 . _:b665458873 . _:b668716760 . _:b668716761 . _:b665122128 . _:b668716766 . _:b668716767 . _:b663276462 . _:b668716764 . _:b668716765 . _:b665176872 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665856911 . _:b668716770 . _:b663276491 _:b663276495 . _:b668716771 . _:b668716768 . _:b668716769 . _:b668716774 . _:b668716775 . _:b663276494 _:b663276493 . _:b668716772 . _:b663276495 _:b663276492 . _:b665122328 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b668716773 . _:b663276495 _:b663276494 . _:b668716778 . _:b668716779 . _:b663276540 _:b663276539 . _:b663276541 _:b663276540 . _:b668716776 . _:b668716777 . _:b668716782 . _:b663276542 _:b663276541 . _:b668716783 . _:b663276528 _:b663276531 . _:b668716780 . _:b663276537 _:b663276536 . _:b665459364 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b668716781 . _:b663276538 _:b663276537 . _:b668716786 . _:b663276539 _:b663276538 . _:b678849653 . _:b663276536 _:b663276535 . _:b663276534 _:b663276542 . _:b668716787 . _:b668716784 . _:b668716785 . _:b668716790 . _:b668716791 . _:b665176479 . _:b668716788 . _:b663276531 _:b663276530 . _:b668716789 . _:b668716794 . _:b668716669 _:b668716668 . _:b666092949 . _:b663276530 _:b663276529 . _:b668716795 . _:b668716792 . _:b665176773 . _:b668716793 . _:b668716668 _:b668716667 . _:b668716798 . _:b668716664 _:b668716663 . _:b668716799 . _:b668716665 _:b668716664 . _:b668716796 . _:b663276526 _:b663276523 . _:b668716797 . _:b668716662 _:b668716665 . _:b665856926 . _:b663276527 _:b663276526 . _:b665856925 . _:b668716674 . _:b663276525 _:b663276524 . _:b668716660 _:b668716656 . _:b663276526 _:b663276525 . _:b668716675 . _:b665176425 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b668716666 _:b668716669 . _:b668716672 . _:b668716661 _:b668716660 . _:b668716673 . _:b666092942 . _:b668716678 . _:b668716659 _:b668716658 . _:b668716679 . _:b668716657 _:b668716659 . _:b674016757 . _:b668716676 . _:b668716677 . _:b668716645 _:b668716648 . _:b663276522 _:b663276527 . _:b668716682 . _:b668716651 _:b668716650 . _:b665793475 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b668716683 . _:b674348713 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b668716680 . _:b665458935 . _:b668716681 . _:b668716648 _:b668716647 . _:b665458934 . _:b668716686 . _:b668716652 _:b668716651 . _:b668716687 . _:b668716684 . _:b668716640 _:b668716639 . _:b668716685 . _:b665458940 . _:b668716690 . _:b665458939 . _:b668716691 . _:b665458932 . _:b668716688 . _:b665458933 . _:b668716689 . _:b668716641 _:b668716640 . _:b665458930 . _:b668716694 . _:b665458931 . _:b668716649 _:b668716652 . _:b668716655 _:b668716661 . _:b668716695 . _:b665458928 . _:b668716656 _:b668716657 . _:b668716692 . _:b665458929 . _:b668716693 . _:b668716647 _:b668716646 . _:b668716631 _:b668716632 . _:b668716698 . _:b668716699 . _:b668716629 _:b668716630 . _:b668716696 . _:b674016752 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b668716697 . _:b665458912 . _:b668716702 . _:b668716627 _:b668716629 . _:b668716624 _:b668716625 . _:b668716703 . _:b665122554 . _:b668716700 . _:b668716627 _:b668716628 . _:b668716701 . _:b668716420 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665458922 . _:b668716706 . _:b668716637 _:b668716636 . _:b668716638 _:b668716641 . _:b668716707 . _:b668716704 . _:b665122207 . _:b674348391 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665458921 . _:b668716705 . _:b668716710 . _:b665122547 . _:b668716671 _:b668716672 . _:b668716711 . _:b665122124 . _:b665459375 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b668716708 . _:b668716635 _:b668716634 . _:b665458923 . _:b668716709 . _:b668716411 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b668716714 . _:b668716608 _:b668716609 . _:b674348659 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b668716715 . _:b668716712 . _:b668716713 . _:b668716610 _:b668716611 . _:b668716615 _:b668716616 . _:b668716718 . _:b668716719 . _:b668716613 _:b668716614 . _:b668716613 _:b668716615 . _:b668716716 . _:b668378555 . _:b668716717 . _:b665122210 . _:b668716722 . _:b665458909 . _:b668716723 . _:b668378552 . _:b668716720 . _:b668716617 _:b668716618 . _:b668716721 . _:b668716726 . _:b668716622 _:b668716623 . _:b668716620 _:b668716622 . _:b665458911 . _:b668716727 . _:b665856984 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665458908 . _:b668716724 . _:b668716620 _:b668716621 . _:b675160845 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b668716725 . _:b668716584 _:b668716581 . _:b668716730 . _:b668716580 _:b668716585 . _:b668716731 . _:b668716585 _:b668716584 . _:b668716728 . _:b674016878 . _:b668716584 _:b668716583 . _:b668716729 . _:b668716734 . _:b668716589 _:b668716588 . _:b668716735 . _:b668716732 . _:b668716733 . _:b668716588 _:b668716587 . _:b668716866 . _:b665122327 . _:b668716867 . _:b665459355 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b668716864 . _:b668716865 . _:b668716870 . _:b668716606 _:b668716608 . _:b668716591 _:b668716599 . _:b668716871 . _:b668716586 _:b668716589 . _:b668716868 . _:b666093290 . _:b668716869 . _:b665857499 . _:b668716583 _:b668716582 . _:b668716604 _:b668716603 . _:b668716874 . _:b668716606 _:b668716607 . _:b668716875 . _:b678849903 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b663276412 _:b663276411 . _:b668716872 . _:b663276403 _:b663276407 . _:b668716873 . _:b663276415 _:b663276414 . _:b666093293 . _:b668716878 . _:b668716879 . _:b663276411 _:b663276409 . _:b665795547 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665122328 . _:b668716876 . _:b666093051 . _:b668716602 _:b668716601 . _:b668716603 _:b668716602 . _:b665122329 . _:b668716877 . _:b668716599 _:b668716598 . _:b668716882 . _:b668716600 _:b668716604 . _:b668716883 . _:b663276407 _:b663276406 . _:b663276408 _:b663276412 . _:b666093287 . _:b668716598 _:b668716597 . _:b668716596 _:b668716595 . _:b668716880 . _:b668716597 _:b668716596 . _:b663276400 _:b663276399 . _:b665458986 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b668716881 . _:b663276406 _:b663276404 . _:b668716886 . _:b666093284 . _:b668716594 _:b668716593 . _:b668716595 _:b668716594 . _:b668716887 . _:b668716884 . _:b668716885 . _:b668716593 _:b668716592 . _:b668716890 . _:b668716891 . _:b668716888 . _:b663276393 _:b663276392 . _:b668716889 . _:b678849502 . _:b663276394 _:b663276393 . _:b668716894 . _:b663276395 _:b663276394 . _:b668716895 . _:b663276396 _:b663276395 . _:b663276397 _:b663276396 . _:b663276391 _:b663276400 . _:b668716892 . _:b665857155 . _:b663276409 _:b663276410 . _:b668716893 . _:b663276399 _:b663276398 . _:b668716549 _:b668716553 . _:b668716898 . _:b668716552 _:b668716551 . _:b663276398 _:b663276397 . _:b668716899 . _:b666092655 . _:b663276385 _:b663276384 . _:b668716553 _:b668716552 . _:b668716553 _:b668716550 . _:b663276386 _:b663276385 . _:b668716896 . _:b666092654 . _:b663276241 . _:b666092653 . _:b668716897 . _:b666092652 . _:b668716902 . _:b663276247 . _:b663276404 _:b663276405 . _:b666092651 . _:b668716903 . _:b666092650 . _:b668716900 . _:b666092649 . _:b668716901 . _:b666092648 . _:b668716906 . _:b666092647 . _:b668716907 . _:b668378669 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b666092646 . _:b668716904 . _:b668716544 _:b668716545 . _:b665122155 . _:b662809943 . _:b663276325 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b666092645 . _:b668716905 . _:b666092644 . _:b668716910 . _:b663276255 . _:b666092643 . _:b668716911 . _:b668716908 . _:b678850086 . _:b668716909 . _:b663276252 . _:b668716914 . _:b665857469 . _:b666092671 . _:b668716915 . _:b665857566 . _:b663276383 _:b663276386 . _:b666092670 . _:b668716912 . _:b666092669 . _:b668716913 . _:b663276224 . _:b666092668 . _:b668716918 . _:b663276231 . _:b666092667 . _:b668716919 . _:b666092666 . _:b668716916 . _:b666092665 . _:b668716917 . _:b666092664 . _:b668716922 . _:b666092663 . _:b668716923 . _:b666092662 . _:b668716920 . _:b663276233 . _:b666092661 . _:b668716921 . _:b665795615 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b663276413 _:b663276419 . _:b666092660 . _:b668716926 . _:b666092659 . _:b678850071 . _:b668716927 . _:b666092658 . _:b668716924 . _:b663276237 . _:b666092657 . _:b678850073 . _:b668716925 . _:b666092656 . _:b668716802 . _:b668716803 . _:b678850013 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b668716800 . _:b668716801 . _:b665857148 . _:b668716806 . _:b665857037 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b668716807 . _:b678850079 . _:b674348672 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b668716804 . _:b668716805 . _:b668716810 . _:b668716811 . _:b665857142 . _:b668716808 . _:b668716809 . _:b668716814 . _:b665857497 . _:b668716815 . _:b668716756 . _:b668716812 . _:b668716813 . _:b668716754 . _:b668716818 . _:b663276259 . _:b668716755 . _:b668716819 . _:b668716816 . _:b668716817 . _:b668716822 . _:b668378984 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665793915 . _:b668716823 . _:b668716820 . _:b665122054 . _:b668716821 . _:b668716826 . _:b665971178 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b668716827 . _:b666092720 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b668716780 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b668716824 . _:b668716825 . _:b668716830 . _:b666093149 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b668716831 . _:b668716374 . _:b668716828 . _:b668716373 . _:b668716829 . _:b662810077 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b668716834 . _:b666092719 . _:b668716835 . _:b668716370 . _:b666092718 . _:b668716832 . _:b668716792 . _:b666092717 . _:b668716833 . _:b668716793 . _:b666092716 . _:b668716838 . _:b668716777 . _:b668716383 . _:b666092715 . _:b668716839 . _:b668716667 . _:b665459296 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b666092714 . _:b668716836 . _:b666092713 . _:b668716837 . _:b668716380 . _:b666092712 . _:b668716842 . _:b668716773 . _:b666092711 . _:b668716843 . _:b668716378 . _:b666092710 . _:b674348374 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b668716840 . _:b666093262 . _:b668716377 . _:b666092709 . _:b668716841 . _:b666092708 . _:b668716846 . _:b668716359 . _:b668716799 . _:b666092707 . _:b668716847 . _:b668716798 . _:b668716358 . _:b668716798 . _:b666092706 . _:b668716844 . _:b666092705 . _:b668716845 . _:b668716356 . _:b666092704 . _:b668716850 . _:b668716355 . _:b666092735 . _:b668716851 . _:b668716794 . _:b668716354 . _:b666092734 . _:b668716848 . _:b666092733 . _:b668716849 . _:b668716760 . _:b666092732 . _:b668716854 . _:b668716765 . _:b666092731 . _:b668716855 . _:b665176932 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b666092730 . _:b678850158 . _:b668716852 . _:b668716759 . _:b666092729 . _:b668716853 . _:b665970698 . _:b666092728 . _:b668716858 . _:b668716789 . _:b668716363 . _:b666092727 . _:b668716859 . _:b668716362 . _:b666092726 . _:b668716856 . _:b668716373 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b668716361 . _:b666092725 . _:b668716857 . _:b665121845 . _:b668716360 . _:b666092724 . _:b668716862 . _:b674016347 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b668716407 . _:b666092723 . _:b668716863 . _:b666092722 . _:b668716860 . _:b668716405 . _:b666092721 . _:b668716861 . _:b665857624 . _:b675160752 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b666092720 . _:b668716994 . _:b665857631 . _:b666092687 . _:b668716995 . _:b665857628 . _:b668716402 . _:b668716357 . _:b666092686 . _:b668716992 . _:b663276209 . _:b668716358 . _:b666092685 . _:b668716993 . _:b665857626 . _:b668716400 . _:b665857628 . _:b666092684 . _:b668716998 . _:b665857631 . _:b666092683 . _:b668716999 . _:b665857624 . _:b666092682 . _:b668716996 . _:b663276213 . _:b668716413 . _:b665857617 . _:b666092681 . _:b668716997 . _:b666092680 . _:b668717002 . _:b668716411 . _:b666092679 . _:b668716738 . _:b668716410 . _:b666092678 . _:b668717000 . _:b665857621 . _:b665857621 . _:b666092677 . _:b668717001 . _:b666092676 . _:b662810033 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665857619 . _:b668716391 . _:b666092675 . _:b666092674 . _:b665857617 . _:b668716389 . _:b666092673 . _:b663276220 . _:b665793542 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b662809794 . _:b666092672 . _:b668716387 . _:b668716774 . _:b666092703 . _:b674348375 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665857642 . _:b666092702 . _:b678850122 . _:b666092701 . _:b665857642 . _:b668716384 . _:b668716773 . _:b666092700 . _:b666092699 . _:b668716764 . _:b665857640 . _:b674016517 . _:b668716398 . _:b666092698 . _:b668716765 . _:b666092697 . _:b668716766 . _:b665857638 . _:b666092696 . _:b668716767 . _:b665857635 . _:b666092695 . _:b668716754 . _:b666092694 . _:b668716393 . _:b666092693 . _:b666092692 . _:b668716763 . _:b665857635 . _:b663276207 . _:b666092691 . _:b665857638 . _:b666093031 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666092690 . _:b665857633 . _:b666093032 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666092689 . _:b665857215 . _:b666092688 . _:b668716386 . _:b666092783 . _:b668716387 . _:b666092782 . _:b675160855 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b663277790 . _:b668716385 . _:b666092781 . _:b666092780 . _:b666092779 . . _:b666092778 . _:b666092777 . _:b668716708 . _:b666092776 . _:b666092775 . _:b666092774 . _:b666092773 . _:b666092772 . _:b668716705 . _:b668716761 . _:b666092771 . _:b668716704 . _:b666092770 . _:b668716707 . _:b666092769 . _:b668716706 . _:b668716762 . _:b666092768 . _:b665176911 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b666092799 . _:b666092798 . _:b665971220 . _:b678849644 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b666092797 . _:b666092796 . _:b665857517 . _:b666092795 . _:b666092794 . _:b674348303 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b666092793 . _:b674016701 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b666092792 . _:b666092791 . _:b666092790 . _:b665857511 . _:b666092789 . _:b666092788 . _:b668716343 . _:b666092787 . _:b665793948 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b668716663 . _:b668716342 . _:b666092786 . _:b666092785 . _:b666092682 . _:b665971135 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b666092784 . _:b668716930 . _:b666092751 . _:b668716931 . _:b668716743 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b668716338 . _:b674348385 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b666092750 . _:b668716928 . _:b668716337 . _:b666092749 . _:b668716929 . _:b666092748 . _:b668716934 . _:b668716794 . _:b666092747 . _:b668716935 . _:b662809835 . _:b668716795 . _:b666092746 . _:b668716932 . _:b668716349 . _:b665857626 . _:b666092745 . _:b668716933 . _:b668716348 . _:b666092744 . _:b668716938 . _:b668716701 . _:b662809828 . _:b668716939 . _:b666092743 . _:b666092945 . _:b666092742 . _:b668716936 . _:b668716703 . _:b668716796 . _:b666092741 . _:b668716937 . _:b668716702 . _:b668716344 . _:b668716797 . _:b665857524 . _:b666092740 . _:b668716942 . _:b665971354 . _:b668716327 . _:b666092739 . _:b668716943 . _:b665857044 . _:b666092738 . _:b668716940 . _:b666092737 . _:b668716941 . _:b674348963 . _:b665795406 . _:b666092736 . _:b668716946 . _:b668716745 . _:b666092767 . _:b668716947 . _:b668716744 . _:b666092766 . _:b668716944 . _:b668716747 . _:b666092765 . _:b668716945 . _:b668716746 . _:b666092764 . _:b668716950 . _:b666092763 . _:b668716951 . _:b666092762 . _:b668716948 . _:b666092761 . _:b668716949 . _:b666092760 . _:b668716954 . _:b666093315 . _:b666092759 . _:b668716955 . _:b668716330 . _:b666092758 . _:b668716952 . _:b668716329 . _:b662809830 . _:b668716953 . _:b666092757 . _:b668716328 . _:b662809831 . _:b666092756 . _:b668716958 . _:b666092755 . _:b668716959 . _:b665971046 . _:b666092754 . _:b668716956 . _:b666092753 . _:b668716957 . _:b666092752 . _:b668716962 . _:b666092847 . _:b668716963 . _:b665122236 . _:b663276409 . _:b668716960 . _:b666092846 . _:b662809832 . _:b663276410 . _:b668716961 . _:b666092845 . _:b666092844 . _:b668716966 . _:b663276403 . _:b666092843 . _:b668716967 . _:b666092842 . _:b668716964 . _:b678849583 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b666092841 . _:b668716965 . _:b666092840 . _:b668716970 . _:b674016332 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b666092839 . _:b668716971 . _:b663276408 . _:b663276401 . _:b668716968 . _:b666092838 . _:b668716630 . _:b663276402 . _:b668716969 . _:b666092837 . _:b666092836 . _:b668716974 . _:b663276404 . _:b668716975 . _:b666092835 . _:b665857633 . _:b674016716 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b663276405 . _:b668716972 . _:b666092834 . _:b663276413 . . _:b666092833 . _:b668716973 . _:b666092832 . _:b668716978 . _:b666092863 . _:b668716979 . _:b665857246 . _:b668716976 . _:b666092862 . _:b666092861 . _:b668716977 . _:b666092860 . _:b668716982 . _:b666092859 . _:b674016388 . _:b668716983 . _:b665857640 . _:b666092858 . _:b668716980 . _:b665793861 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b666092857 . _:b668716981 . _:b666092856 . _:b668716986 . _:b663276391 . _:b663276384 . _:b668716987 . _:b666092855 . _:b666092854 . _:b668716984 . _:b668378989 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b666092853 . _:b668716985 . _:b662809750 . _:b662809749 . _:b663276387 . _:b668716990 . _:b666092852 . _:b662809787 . _:b674016798 . _:b663276388 . _:b668716991 . _:b662809664 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b666092851 . _:b663276389 . _:b668716988 . _:b666092850 . _:b663276340 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b663276390 . _:b668716989 . _:b666092849 . _:b666092848 . _:b666092815 . _:b666092814 . _:b668716623 . _:b674348365 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665857398 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b666092813 . _:b668716616 . _:b666092812 . _:b666092811 . _:b663276381 . _:b666092810 . _:b663276382 . _:b666092809 . _:b665459275 . _:b665459243 . _:b666092808 . _:b674348744 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b663276292 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b666092807 . _:b665459339 . _:b666092806 . _:b665459338 . _:b666092805 . _:b674348654 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b666092804 . _:b662809768 . _:b666092803 . _:b666092802 . _:b665459244 . _:b665122382 . _:b666092801 . _:b666092800 . _:b665122381 . _:b663276383 . _:b662809767 . _:b662809708 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b666092831 . _:b666092830 . _:b674016884 . _:b666092829 . _:b665857191 . _:b662809765 . _:b666092828 . _:b662810213 . _:b665857267 . _:b666092827 . _:b674348860 . _:b666092826 . _:b666092825 . _:b666092824 . _:b666092823 . _:b665459244 . _:b662809763 . _:b666092822 . _:b662809761 . _:b666092821 . _:b662809764 . _:b666092820 . _:b666092819 . _:b662809766 . _:b665459358 . _:b666092818 . _:b665459243 . _:b662809695 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b668716437 . _:b665459359 . _:b668716712 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b666092817 . _:b665857260 . _:b666092816 . _:b665793911 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b668716435 . _:b663276472 . _:b666092911 . _:b666092910 . _:b663276465 . _:b666092909 . _:b668716432 . _:b663276475 . _:b666092908 . _:b662809791 . _:b663276476 . _:b666092907 . _:b663276477 . _:b666093306 . _:b665122423 . _:b666092906 . _:b663276478 . _:b666092905 . _:b665857253 . _:b663276470 . _:b663276479 . _:b666092904 . _:b665459368 . _:b666092903 . _:b665459369 . _:b666092902 . _:b665459370 . _:b665459371 . _:b662809783 . _:b663276466 . _:b666092901 . _:b665459372 . _:b665176404 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b663276467 . _:b666092900 . _:b666092899 . _:b668716422 . _:b666092898 . _:b665857295 . _:b665971303 . _:b665857294 . _:b666092897 . _:b662809784 . _:b663276471 . _:b666092896 . _:b662809785 . _:b668716419 . _:b674348777 . _:b663276456 . _:b666092927 . _:b662809782 . _:b662809786 . _:b668716418 . _:b663276457 . _:b666092926 . _:b665793579 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b668716417 . _:b663276458 . _:b666092925 . _:b663276459 . _:b666092924 . _:b663276460 . _:b666092923 . _:b665971058 . _:b663276452 . _:b665793857 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b668716430 . _:b665971057 . _:b666092922 . _:b666092921 . _:b665459367 . _:b668716428 . _:b666092920 . _:b668716427 . _:b666092919 . _:b663276449 . _:b666092918 . _:b663276450 . _:b666092917 . _:b668716424 . _:b665459391 . _:b666092916 . _:b663276451 . _:b665459390 . _:b666092915 . _:b663276453 . _:b666092914 . _:b663276461 . _:b666092913 . _:b666092912 . _:b665970807 . _:b674348594 . _:b663276440 . _:b666092879 . _:b666092878 . _:b665176923 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b666092877 . _:b663276443 . _:b666092876 . _:b663276444 . _:b666092875 . _:b666092874 . _:b663276446 . _:b666092873 . . . _:b665459316 . _:b666092872 . _:b663276439 . _:b663276432 . _:b666092871 . _:b663276433 . _:b666092870 . _:b663276434 . _:b666092869 . _:b663276435 . _:b665121959 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b666092868 . _:b663276436 . _:b666092867 . _:b663276437 . _:b666092866 . _:b663276445 . _:b663276438 . _:b674016383 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b666092865 . _:b666092864 . _:b668716374 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b668378715 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b662810169 . _:b666092895 . _:b666092894 . _:b675160758 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b663276426 . _:b666092893 . _:b663276427 . _:b666092892 . _:b665971218 . _:b663276428 . _:b666092891 . _:b663276429 . _:b666092890 . _:b668716437 . _:b665459323 . _:b666092889 . _:b663276430 . _:b663276422 . _:b668716436 . _:b663276431 . _:b666092888 . _:b665176364 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b666092887 . _:b666092886 . _:b666092885 . _:b666092884 . _:b665970883 . _:b678849942 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b663276420 . _:b666092883 . _:b663276421 . _:b666092882 . _:b666092881 . _:b665459302 . _:b663276423 . _:b666092880 . _:b665459303 . _:b666092975 . _:b663276528 . _:b665459300 . _:b665122322 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665459304 . _:b666092974 . _:b665459310 . _:b663276534 . _:b665459301 . _:b666092973 . _:b665459298 . _:b666092972 . _:b665970815 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665459299 . _:b665459305 . _:b666092971 . _:b663276373 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b666092970 . _:b665459309 . _:b666092969 . _:b666092968 . _:b665795232 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b666092967 . _:b663276543 . _:b665122342 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b663276529 . _:b666092966 . _:b665459281 . _:b666092965 . _:b666092964 . _:b663276532 . _:b666092963 . _:b665459282 . _:b666092962 . _:b666092961 . _:b666092960 . _:b665459293 . _:b666092991 . _:b663276520 . _:b665459291 . . _:b663276521 . _:b666092990 . _:b666092989 . _:b663276523 . _:b666092988 . _:b663276524 . _:b666092987 . _:b665459292 . _:b666092986 . _:b668716807 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b666092985 . _:b666092984 . _:b663276512 . _:b666092983 . _:b663276513 . _:b666092982 . _:b663276514 . . _:b666092981 . _:b663276522 . _:b663276515 . _:b666092980 . _:b663276516 . _:b666092979 . _:b663276517 . _:b666092978 . _:b665857278 . _:b665857197 . _:b663276518 . _:b666092977 . _:b663276519 . _:b666092976 . _:b663276504 . _:b665122524 . _:b666092943 . _:b665857275 . _:b663276505 . _:b666092942 . _:b662809907 . _:b662809909 . _:b665459279 . _:b666092941 . _:b663276506 . _:b665459278 . _:b666092940 . _:b663276507 . _:b663276508 . _:b666092939 . _:b663276509 . _:b666092938 . _:b663276510 . _:b666092937 . _:b675160476 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b663276511 . _:b666092936 . _:b663276496 . _:b666092935 . _:b674348956 _:b674348957 . _:b665459382 . _:b666092934 . _:b663276497 . _:b663276498 . _:b666092933 . _:b663276499 . _:b666092932 . _:b663276500 . _:b666092931 . _:b665459380 . _:b666092930 . _:b663276501 . _:b663276502 . _:b666092929 . _:b674348956 _:b674348961 . _:b663276503 . _:b666092928 . _:b663276488 . _:b674348949 _:b674348954 . _:b666092959 . _:b665459390 . _:b666092958 . _:b663276489 . _:b663276490 . _:b674348949 _:b674348950 . _:b666092957 . _:b666092956 . _:b665459385 . _:b666092955 . _:b663276492 . _:b663276493 . _:b666092954 . _:b666092953 . _:b666092952 . _:b674348942 _:b674348943 . _:b665459365 . _:b666092951 . _:b663276480 . _:b663276481 . _:b678849534 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b666092950 . _:b674348942 _:b674348947 . _:b663276482 . _:b666092949 . _:b665459360 . _:b666092948 . _:b663276483 . _:b663276491 . _:b663276484 . _:b666092947 . _:b665459362 . _:b666092946 . _:b663276485 . _:b663276486 . _:b666092945 . _:b674348935 _:b674348936 . _:b674348935 _:b674348940 . _:b663276487 . _:b666092944 . _:b665793472 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665459373 . _:b666093039 . _:b666093038 . _:b666093037 . _:b666093036 . _:b662809903 . _:b666093035 . _:b666093034 . _:b665459371 . _:b666093033 . _:b662809905 . _:b666093032 . _:b668716266 . _:b662809892 . _:b665459349 . _:b668716267 . _:b666093031 . _:b662809906 . _:b666093030 . _:b663276546 _:b663276545 . _:b663276547 _:b663276546 . _:b662809911 . _:b665459351 . _:b668716265 . _:b666093029 . _:b665459345 . _:b662809908 . _:b666093028 . _:b668716270 . _:b663276545 _:b663276544 . _:b666093027 . _:b668716271 . _:b663276551 _:b663276552 . _:b666093026 . _:b668716268 . _:b663276549 _:b663276550 . _:b665459347 . _:b668716269 . _:b666093025 . _:b662809912 . _:b663276549 _:b663276551 . _:b665459354 . _:b668716274 . _:b666093024 . _:b665459356 . _:b662809913 . _:b665795229 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b662809914 . _:b668716275 . _:b666093055 . _:b665857406 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665459358 . _:b668716272 . _:b666093054 . _:b665459353 . _:b668716273 . _:b666093053 . _:b663276553 _:b663276554 . _:b665176368 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b666093052 . _:b668716278 . _:b666093051 . _:b668716279 . _:b663276558 _:b663276559 . _:b668716276 . _:b666093050 . _:b663276556 _:b663276558 . _:b666093049 . _:b668716277 . _:b663276556 _:b663276557 . _:b666093048 . _:b668716282 . _:b663277955 . _:b666093047 . _:b668716283 . . _:b663276567 _:b663276568 . _:b665459334 . _:b668716280 . _:b666093046 . _:b663276565 _:b663276566 . _:b665121972 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b668716281 . _:b666093045 . _:b666093044 . _:b668716286 . _:b666093043 . _:b668716287 . _:b665459330 . _:b668716284 . _:b666093042 . _:b663276563 _:b663276565 . _:b663276560 _:b663276561 . _:b666093041 . _:b668716285 . _:b665971057 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665459340 . _:b666093040 . _:b663276563 _:b663276564 . _:b665971058 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666093007 . _:b663276574 _:b663276575 . _:b666093006 . _:b666093005 . _:b663276572 _:b663276573 . _:b666093004 . _:b666093003 . _:b665459338 . _:b666093002 . _:b663276570 _:b663276571 . _:b666093001 . _:b666093000 . _:b663276570 _:b663276572 . _:b666092999 . _:b666093297 . _:b666092998 . _:b666092997 . _:b665857638 . _:b666092996 . _:b666092995 . _:b666092994 . _:b666092993 . _:b666092992 . _:b666093023 . _:b666093022 . _:b668379228 . _:b666093021 . _:b666093020 . _:b665857617 . _:b666093019 . _:b666093018 . _:b666093017 . _:b665971184 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b666093016 . _:b666093015 . _:b666093263 "1"^^ . _:b666093014 . _:b666093262 "1"^^ . _:b666093013 . _:b666093261 "1"^^ . _:b666093012 . _:b665176858 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b666093011 . _:b665857624 . _:b666093010 . _:b665121899 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b666093009 . _:b668379064 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b666093008 . _:b665176819 "per discussion with Barry Smith" . _:b666093248 "1"^^ . _:b666093103 . _:b666093255 "1"^^ . _:b666093102 . _:b665857631 . _:b666093254 "1"^^ . _:b666093101 . _:b666093100 . _:b666093099 . _:b666093098 . _:b666093242 "1"^^ . _:b666093097 . _:b666093096 . _:b666093095 . _:b666093094 . _:b666093093 . _:b666093092 . _:b668716294 . _:b665176893 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b666093091 . _:b666093090 . _:b666093089 . _:b665458926 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b666093088 . _:b666093119 . _:b666093118 . _:b666093117 . _:b665121847 . _:b666093116 . _:b666093115 . _:b666093114 . _:b666093113 . _:b665459321 . _:b666093112 . _:b665459320 . _:b665459397 . _:b666093111 . _:b665459323 . _:b665459392 . _:b666093110 . _:b665459322 . _:b666093109 . _:b665459325 . _:b666093108 . _:b666092670 . _:b665459324 . _:b665459363 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665459393 . _:b666093107 . _:b665459327 . _:b666093106 . _:b665459326 . _:b665459395 . _:b666093105 . _:b666093104 . _:b668716354 . _:b666093071 . _:b668716355 . _:b665459309 . _:b668716352 . _:b666093070 . _:b665459310 . _:b668716353 . _:b666093069 . _:b666093127 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665459311 . _:b668716358 . _:b666093068 . _:b666093067 . _:b668716359 . _:b665459319 . _:b666093066 . _:b668716356 . _:b665459318 . _:b666093065 . _:b668716357 . _:b666093064 . _:b668716362 . _:b663277698 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b666093063 . _:b668716363 . _:b666093062 . _:b668716360 . _:b666093061 . _:b668716361 . _:b666093060 . _:b668716366 . _:b666092662 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668716367 . _:b666093059 . _:b665459312 . _:b668716421 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b666092663 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668716364 . _:b666093058 . _:b665459313 . _:b665459314 . _:b668716365 . _:b666093057 . _:b678849573 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665459315 . _:b668716370 . _:b666093056 . _:b666093087 . _:b668716371 . _:b666093086 . _:b668716368 . _:b666093085 . _:b668716369 . _:b662809975 . _:b666093084 . _:b668716374 . _:b665122493 . _:b666092678 . _:b666093083 . _:b668716375 . _:b678850140 . _:b666093194 "1"^^ . _:b666093082 . _:b668716372 . _:b665856941 . _:b666092696 . _:b666093081 . _:b668716373 . _:b668379265 . _:b666093080 . _:b668716378 . _:b666093193 "1"^^ . _:b666093079 . _:b668716379 . _:b665970985 . _:b665459312 . _:b666093078 . _:b668716376 . _:b666093077 . _:b668716377 . _:b665176886 "per discussion with Barry Smith" . _:b666093076 . _:b668716382 . _:b666093075 . _:b668716383 . _:b666093074 . _:b668716380 . _:b665856933 . _:b662809716 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b666093073 . _:b668716381 . _:b666093072 . _:b668716386 . _:b665970821 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b666093167 . _:b668716387 . _:b665176464 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b666093166 . _:b668716384 . _:b666093165 . _:b668716385 . _:b666093164 . _:b668716390 . _:b663276211 . _:b666093163 . _:b668716391 . _:b663276212 . _:b665459324 . _:b666093162 . _:b668716388 . _:b665459325 . _:b666093161 . _:b668716389 . _:b665459326 . _:b678850101 . _:b666093160 . _:b668716394 . _:b665856959 . _:b665459327 . _:b666093159 . _:b668716395 . _:b665459287 . _:b663277586 . _:b666093158 . _:b668716392 . _:b665459286 . _:b666093157 . _:b668716393 . _:b663276218 . _:b665459285 . _:b666093156 . _:b668716398 . _:b663276219 . _:b665459299 . _:b665459284 . _:b665122497 . _:b666093155 . _:b668716399 . _:b665459283 . _:b665459300 . _:b665176832 "per discussion with Barry Smith" . _:b666093154 . _:b668716396 . _:b665459282 . _:b666093153 . _:b668716397 . _:b663276222 . _:b665459281 . _:b666093152 . _:b668716402 . _:b663276223 . _:b666093183 . _:b668716403 . _:b666093182 . _:b668716400 . _:b665176845 "per discussion with Barry Smith" . _:b666093181 . _:b668716401 . _:b665459306 . _:b666093180 . _:b668716406 . _:b662810204 . . _:b666093179 . _:b668716407 . _:b666093178 . _:b668716404 . _:b666093177 . _:b668716405 . _:b665459289 . . _:b666093176 . _:b668716410 . _:b665459311 . _:b665459288 . _:b666093175 . _:b668716411 . _:b662810197 . _:b668716408 . _:b666093174 . _:b666093173 . _:b668716409 . _:b666093172 . _:b668716414 . _:b665459283 . _:b665857413 . _:b666093171 . _:b668716415 . _:b665459284 . _:b666093170 . _:b668716412 . _:b665459285 . _:b666093169 . _:b668716413 . _:b665176850 "per discussion with Barry Smith" . _:b666093168 . _:b668716290 . _:b662810163 . _:b666093135 . _:b668716291 . _:b666093134 . _:b668716288 . _:b666093133 . _:b668716289 . _:b666093132 . _:b668716294 . _:b666093131 . _:b668716295 . _:b665970851 . _:b665970689 . _:b668716292 . _:b666093130 . _:b665970688 . _:b666093129 . _:b668716293 . _:b665459294 . _:b666093128 . _:b668716298 . _:b665459295 . _:b666093127 . _:b668716299 . _:b666093126 . _:b668716296 . _:b666093125 . _:b668716297 . _:b666093124 . _:b668716302 . _:b666093123 . _:b668716303 . _:b665122268 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b666093122 . _:b668716300 . _:b666093207 . _:b666093121 . _:b668716301 . _:b665121958 . _:b668716306 . _:b666093120 . _:b665121959 . _:b668716307 . _:b666093151 . _:b666093150 . _:b668716304 . _:b674348234 . _:b666093149 . _:b668716305 . _:b662810056 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b666093148 . _:b668716310 . _:b666093147 . _:b668716311 . _:b665122267 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665857029 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b666093146 . _:b668716308 . _:b666093145 . _:b668716309 . _:b668379229 . _:b666093144 . _:b668716314 . _:b666093116 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b666093143 . _:b668716315 . _:b666093142 . _:b668716312 . _:b666093141 . _:b668716313 . _:b666093140 . _:b668716318 . _:b666093139 . _:b668716319 . _:b665795119 . _:b665176467 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665121960 . _:b668716316 . _:b666093138 . _:b665795118 . _:b666093137 . _:b668716317 . _:b665795117 . _:b674016315 . _:b666093136 . _:b668716322 . _:b665122216 . _:b665795116 . _:b674016316 . _:b666093231 . _:b668716323 . _:b665795115 . _:b674016317 . _:b666093230 . _:b668716320 . _:b665795114 . _:b674016318 . _:b666093229 . _:b668716321 . _:b665795113 . _:b678849952 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b678850003 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b666093228 . _:b668716326 . _:b665795112 . _:b674016279 . _:b666093227 . _:b668716327 . _:b665795111 . _:b665793492 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b674016278 . _:b666093226 . _:b668716324 . _:b665795110 . _:b674016277 . _:b674016290 . _:b666093225 . _:b674016559 . _:b668716325 . _:b665795109 . _:b674016276 . _:b674016291 . _:b666093224 . _:b668716330 . _:b665795108 . _:b674016275 . _:b666093223 . _:b668716331 . _:b665795107 . _:b674016274 . _:b663276273 . _:b668716328 . _:b666093222 . _:b665795106 . _:b674016273 . _:b666093221 . _:b668716329 . _:b674016429 . _:b674016272 . _:b665459379 . _:b668716334 . _:b666093220 . _:b665459380 . _:b668716335 . _:b666093219 . _:b665795135 . _:b674016297 . _:b665459381 . _:b668716332 . _:b666093218 . _:b665795134 . _:b665857629 . _:b668716333 . _:b666093217 . _:b665795133 . _:b666093216 . _:b668716338 . _:b665795132 . _:b666093247 . _:b668716339 . _:b665459368 . _:b665795131 . _:b665971092 . _:b666093246 . _:b668716336 . _:b663276257 . _:b665795130 . _:b665971093 . _:b674016302 . _:b666093245 . _:b668716337 . _:b665795129 . _:b674016280 . _:b674016303 . _:b666093244 . _:b668716342 . _:b665795128 . _:b666093243 . _:b678849995 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b668716343 . _:b665795127 . _:b666093242 . _:b668716340 . _:b665795126 . _:b674016274 . _:b666093241 . _:b668716341 . _:b665459374 . _:b665795125 . _:b674016275 . _:b666093240 . _:b675160857 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b668716346 . _:b665459375 . _:b665795124 . _:b674016276 . _:b666093239 . _:b668716347 . _:b665795123 . _:b665857622 . _:b668716344 . _:b666093238 . _:b665795122 . _:b663276258 . _:b668716345 . _:b666093237 . _:b665795121 . _:b666093236 . _:b668716350 . _:b665795120 . _:b666093235 . _:b668716351 . _:b666093234 . _:b668716348 . _:b666093233 . _:b668716349 . . _:b665793831 . _:b663276263 . _:b668716482 . _:b666093232 . _:b665857615 . _:b668716483 . _:b666093199 . _:b674016285 . _:b666093198 . _:b668716480 . _:b674016286 . _:b663276250 . _:b668716481 . _:b666093197 . _:b666093196 . _:b668716486 . _:b665793832 . _:b666093195 . _:b668716487 . _:b666093194 . _:b668716484 . _:b663276245 . _:b663276254 . _:b668716485 . _:b666093193 . _:b666093192 . _:b668716490 . _:b663276240 . _:b668716491 . _:b666093191 . _:b666093190 . _:b668716488 . _:b663276249 . _:b666093189 . _:b668716489 . _:b663276243 . _:b668716494 . _:b666093188 . _:b663276251 . _:b665459331 . _:b663276244 . _:b668716495 . _:b666093187 . _:b666093186 . _:b668716492 . _:b663276246 . _:b668716493 . _:b666093185 . _:b665459347 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b666093184 . _:b668716498 . _:b665459335 . _:b665970766 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b666093215 . _:b668716499 . _:b666093214 . _:b668716496 . _:b665970969 . _:b663277586 "2024-07-04T11:33:04.869093"^^ . _:b666093213 . _:b668716497 . _:b666093212 . _:b668716502 . _:b668378903 . _:b663276236 . _:b668716503 . _:b666093211 . _:b663276228 . _:b666093210 . _:b668716500 . _:b665459341 . _:b668378950 . _:b666093209 . _:b668716501 . _:b663276230 . _:b666093208 . _:b668716506 . _:b666093207 . _:b668716507 . _:b665971175 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b666093206 . _:b668716504 . _:b666093205 . _:b668716505 . _:b666093204 . _:b668716510 . _:b663276235 . _:b668378910 . _:b666093203 . _:b668716511 . _:b665795183 . _:b662810064 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665793844 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b663276229 . _:b668716508 . _:b666093202 . _:b665795182 . _:b674016839 . _:b666093201 . _:b668716509 . _:b665795181 . _:b666093200 . _:b668716514 . _:b663276239 . _:b665795180 . _:b666093295 . _:b668716515 . _:b665970849 . _:b665795179 . _:b665857213 . _:b666093294 . _:b668716512 . _:b665795178 . _:b674016215 . _:b666093293 . _:b674016840 . _:b668716513 . _:b665971176 . _:b665795177 . _:b674016841 . _:b666093292 . _:b668716518 . _:b665795176 . _:b666093291 . _:b668716519 . _:b662809985 . _:b674016218 . _:b665795175 . _:b666093290 . _:b668716516 . _:b665795174 . _:b674016219 . _:b665121898 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b674016370 . _:b666093289 . _:b668716517 . _:b665795173 . _:b674016216 . _:b674016371 . _:b665857636 . _:b668716522 . _:b666093288 . _:b665795172 . _:b674016217 . _:b674016372 . _:b666093287 . _:b668716523 . _:b665795171 . _:b674016222 . _:b666093286 . _:b668716520 . _:b665459394 . _:b674016223 . _:b665795170 . _:b666093285 . _:b668716521 . _:b665459393 . _:b674016220 . _:b665795169 . _:b674016359 . _:b666093284 . _:b668716526 . _:b665459392 . _:b674016221 . _:b665795168 . _:b666093283 . _:b668716527 . _:b665795199 . _:b674016226 . _:b666093282 . _:b668716524 . _:b665795198 . _:b674016227 . _:b666093281 . _:b668716525 . _:b665795197 . _:b674016224 . _:b666093280 . _:b668716530 . _:b665795196 . _:b674016225 . _:b666093311 . _:b668716531 . _:b665795195 . _:b674016230 . _:b674016365 . _:b666093310 . _:b668716528 . _:b665795194 . _:b674016231 . _:b674016366 . _:b666093309 . _:b668716529 . _:b665795193 . _:b674016228 . _:b666093308 . _:b675160478 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b668716534 . _:b665795192 . _:b674016229 . _:b666093307 . _:b668716535 . _:b665795191 . _:b674016234 . _:b666093306 . _:b668716532 . _:b665795190 . _:b674016235 . _:b666093305 . _:b668716533 . _:b665795189 . _:b674016232 . _:b666093304 . _:b668716538 . _:b665795188 . _:b674016233 . _:b666093303 . _:b668716539 . _:b665795187 . _:b674016238 . _:b666093302 . _:b668716536 . _:b665795186 . _:b674016239 . _:b666093301 . _:b668716537 . _:b665795185 . _:b674016236 . _:b666093300 . _:b668716542 . _:b666092698 . _:b674016237 . _:b665795184 . _:b674016300 . _:b666093299 . _:b668716543 . _:b665795151 . _:b674016242 . _:b674016301 . _:b666093298 . _:b668716540 . _:b665795150 . _:b674016243 . _:b674016302 . _:b666093297 . _:b668716541 . _:b666092697 . _:b674016240 . _:b665795149 . _:b674016303 . _:b666093296 . _:b668716418 . _:b665795148 . _:b674016241 . _:b674016383 . _:b666093263 . _:b668716419 . _:b665795147 . _:b674016246 . _:b668378917 . _:b668379084 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b666093262 . _:b668716416 . _:b665795146 . _:b674016247 . _:b666093261 . _:b668716417 . _:b665795145 . _:b674016244 . _:b666093260 . _:b668716422 . _:b665795144 . _:b674016245 . _:b666093259 . _:b668716423 . _:b665795143 . _:b674016250 . _:b666093258 . _:b668716420 . _:b665795142 . _:b674016251 . _:b674016322 . _:b666093257 . _:b668716421 . _:b665795141 . _:b674016248 . _:b668378615 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b666093256 . _:b668716426 . _:b665795140 . _:b674016249 . _:b674016304 . _:b666093255 . _:b668716427 . _:b665795139 . _:b674016254 . _:b674016305 . _:b665795586 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b666093254 . _:b668716424 . _:b665795138 . _:b674016255 . _:b674016306 . _:b674016326 . _:b666093253 . _:b668716425 . _:b665795137 . _:b674016252 . _:b665122517 . _:b666093252 . _:b668716430 . _:b668379217 . _:b665793681 . _:b674016253 . _:b665795136 . _:b665857412 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b666093251 . _:b668716431 . _:b665795167 . _:b666093250 . _:b668716428 . _:b665795166 . _:b665857018 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b666093249 . _:b668716429 . _:b665793684 . _:b665795165 . _:b666093248 . _:b668716434 . _:b665795164 . _:b674016332 . _:b666093279 . _:b668716435 . _:b665795163 . _:b666093278 . _:b668716432 . _:b665793691 . _:b665795162 . _:b662809687 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b666093277 . _:b668716433 . _:b665795161 . _:b666093276 . _:b668716438 . _:b665795160 . _:b665793544 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b668716439 . _:b666093275 . _:b665795159 . _:b666093274 . _:b668716436 . _:b665795158 . _:b666093273 . _:b668716437 . _:b665795157 . _:b666093272 . _:b668716442 . _:b665795156 . _:b666093271 . _:b668716443 . _:b665795155 . _:b674016770 . _:b678850069 . . _:b666093270 . _:b668716440 . _:b665795154 . . _:b666093269 . _:b668716441 . _:b665795153 . _:b666093268 . _:b668716446 . _:b665795152 . _:b666093267 . _:b668716447 . _:b665795247 . _:b674016773 . _:b666093266 . _:b668716444 . _:b665795246 . _:b674016772 . _:b666093265 . _:b674016775 . _:b668716445 . _:b665795245 . _:b666093264 . _:b668716450 . _:b665795244 . _:b666093359 . _:b668716451 . _:b665795243 . _:b665458977 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b666093358 . _:b668716448 . _:b665795242 . _:b666093357 . _:b668716449 . _:b665795241 . _:b666093356 . _:b678849626 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b668716454 . _:b665795240 . _:b666093355 . _:b668716455 . _:b665795239 . _:b666093354 . _:b668716452 . _:b665795238 . _:b674016385 . _:b666093353 . _:b668716453 . _:b665795237 . _:b674016384 . _:b666093352 . _:b668716458 . _:b665795236 . _:b666093351 . _:b668716459 . _:b665795235 . _:b666093350 . _:b668716456 . _:b665795234 . _:b674348454 . _:b666093349 . _:b668716457 . _:b666092780 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665795233 . _:b666093348 . _:b668716462 . _:b665795232 . _:b665177081 . _:b668716463 . _:b666093347 . _:b665795263 . _:b665971190 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b666093346 . _:b668716460 . _:b665795262 . _:b666093345 . _:b668716461 . _:b665795261 . _:b666093344 . _:b668716466 . _:b665795260 . _:b666093375 . _:b668716467 . _:b665795259 . _:b666093374 . _:b668716464 . _:b665795258 . _:b674016793 . _:b666093373 . _:b668716465 . _:b665795257 . _:b668379171 . _:b674016794 . _:b666093372 . _:b674016928 . _:b674016792 . _:b668716470 . _:b665795256 . _:b675160400 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b674016795 . _:b674016791 . _:b666093371 . _:b668716471 . _:b665795255 . _:b666093370 . _:b668716468 . _:b665795254 . _:b666093369 . _:b668716469 . _:b665795253 . _:b666093368 . _:b668716474 . _:b665795252 . _:b666093367 . _:b668716475 . _:b665795251 . _:b666093366 . _:b668716472 . _:b665795250 . _:b666093365 . _:b668716473 . _:b665795249 . _:b674016796 . _:b674348403 . _:b666093364 . _:b668716478 . _:b665795248 . _:b666093363 . _:b668716479 . _:b665795215 . _:b666093362 . _:b668716476 . _:b665795214 . _:b666093361 . _:b668716477 . _:b665795213 . _:b666093360 . _:b665795212 . _:b665122430 . _:b666093327 . _:b665795211 . _:b665459333 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b666093326 . _:b665795210 . _:b675160383 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b666093325 . _:b665795209 . _:b665795604 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b666093324 . _:b665795208 . _:b665795605 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b666093323 . _:b665795207 . _:b666093322 . _:b665795206 . _:b666093321 . _:b665795205 . _:b666093320 . _:b665795204 . _:b666093319 . _:b665795203 . _:b666093318 . _:b665793945 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665795202 . _:b666093317 . _:b665795201 . _:b674016800 . _:b666093316 . _:b665795200 . _:b666093315 . _:b665795231 . _:b665458973 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b662809575 . . _:b666093314 . _:b665795230 . _:b666093313 . _:b665857262 . _:b665795229 . _:b674016776 . _:b666093312 . _:b665795228 . _:b674016777 . _:b665857259 . _:b666093343 . _:b665795227 . _:b666093342 . _:b665795226 . _:b678849634 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b666093341 . _:b665795225 . _:b675160486 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b666093340 . _:b665857259 . _:b665795224 . _:b666093339 . _:b665795223 . _:b674348734 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665857262 . _:b666093338 . _:b665795222 . _:b665857257 . _:b666093337 . _:b665795221 . _:b674016774 . _:b665857248 . _:b666093336 . _:b665857255 . _:b665795220 . _:b666093335 . _:b665857252 . _:b665795219 . _:b666093334 . _:b665795218 . _:b662809578 . _:b666093333 . _:b665795217 . _:b665857250 . _:b665857252 . _:b666093332 . _:b665795216 . _:b665857255 . _:b666093331 . _:b665857248 . _:b665795311 . _:b666093330 . _:b665795310 . _:b665857273 . _:b666093329 . _:b665795309 . _:b666093328 . _:b665795308 . _:b665795307 . _:b665795306 . _:b665795305 . _:b662809606 . _:b665795304 . _:b665795303 . _:b665857273 . _:b665795302 . _:b665795301 . _:b665795300 . _:b665857271 . _:b665970806 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665795200 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665795299 . _:b665857266 . _:b665857269 . _:b665795298 . _:b665857269 . _:b665857266 . _:b665795297 . _:b665176832 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665795296 . _:b674016712 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665795327 . _:b665459542 . _:b665857264 . _:b665795326 . _:b665970688 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795325 . _:b665970689 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795324 . _:b665459547 . _:b665795323 . _:b665795322 . _:b665795321 . _:b666092967 . _:b665795320 . _:b665459551 . _:b665795319 . _:b662809616 . _:b665795318 . _:b675160767 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665795317 . . _:b665795316 . _:b675160858 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665795315 . _:b665795314 . _:b665795313 . _:b665795312 . _:b665795279 . _:b665795278 . _:b665795277 . _:b665795276 . _:b665795275 . _:b665793463 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665795274 . _:b665795273 . _:b665857159 . _:b665795272 . _:b665795271 . _:b665795270 . _:b665857425 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665795269 . _:b665795268 . _:b665795267 . _:b665795266 . _:b665459569 . _:b665795265 . _:b665795264 . _:b665122506 . _:b665857166 . _:b666093379 . _:b665795295 . _:b665459574 . _:b666093378 . _:b665795294 . _:b666093377 . _:b665795293 . _:b666093376 . _:b665795292 . _:b665795291 . _:b665122513 . _:b665795290 . _:b668716405 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665795289 . _:b665459576 . _:b665795288 . _:b665459583 . _:b663276296 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665795287 . _:b674348580 _:b674348585 . _:b665795286 . _:b665459581 . _:b674348500 . _:b665795285 . _:b665459005 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b674348580 _:b674348581 . _:b665795284 . _:b665795283 . _:b665795282 . _:b674348496 . _:b665795281 . _:b675160805 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b678849871 . _:b665795280 . _:b674348587 _:b674348592 . _:b665795375 . _:b665795374 . _:b674348508 . _:b665795373 . _:b665857043 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665795372 . _:b665795371 . _:b665795370 . _:b674348587 _:b674348588 . _:b665795369 . _:b665459560 . _:b665795368 . _:b665459567 . _:b665795367 . _:b665795366 . _:b665795365 . _:b665795364 . _:b674348573 _:b674348574 . _:b665795363 . _:b674016901 . _:b665795362 . _:b665795361 . _:b674016915 . _:b666093039 . _:b665459339 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b674016912 . _:b665459067 . _:b665795360 . _:b665459479 . _:b674016914 . . _:b665459068 . _:b674016917 . _:b665459060 . _:b665795391 . _:b665795390 . _:b665793904 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665459070 . _:b674348573 _:b674348578 . _:b665795389 . _:b668379023 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665795388 . _:b665857203 . _:b663276278 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665459056 . _:b665795387 . _:b663276279 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665459057 . _:b665795386 . _:b674348566 _:b674348567 . _:b674016921 . _:b665795385 . _:b674016922 . _:b674016920 . _:b665795384 . _:b674348566 _:b674348571 . _:b674016923 . _:b665176945 . _:b665795383 . _:b665459069 . _:b665795382 . _:b665459485 . _:b665795381 . _:b665795380 . _:b665459048 . _:b665795379 . _:b665459458 . _:b665459049 . _:b665795378 . _:b665795377 . _:b665459051 . _:b665793852 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665795376 . _:b665459052 . _:b665795343 . _:b665795342 . _:b674348285 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b674348540 . _:b665795341 . _:b662809800 . _:b665795340 . _:b665795339 . _:b674016918 . _:b665795338 . _:b665459050 . _:b666093047 . _:b665795337 . _:b662809844 . _:b665459464 . _:b674348539 . _:b665795336 . _:b665459471 . _:b666093355 _:b666093356 . _:b666093353 _:b666093355 . _:b665795335 . _:b674016916 . _:b666093065 . _:b666093353 _:b666093354 . _:b665795334 . _:b665795333 . _:b665459055 . _:b665795332 . _:b666093347 _:b666093351 . _:b666093344 _:b666093343 . _:b665795331 . _:b665795330 . _:b665459034 . _:b666093357 _:b666093358 . _:b665795329 . _:b665459035 . _:b665795328 . _:b665459511 . _:b666093346 _:b666093345 . _:b665459036 . _:b665793499 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665795359 . _:b665122082 . _:b665459037 . _:b665795358 . _:b665459030 . _:b665795357 . _:b666093345 _:b666093344 . _:b662810085 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b666093351 _:b666093350 . _:b666093374 _:b666093376 . _:b665795356 . _:b665795355 . _:b666093350 _:b666093349 . _:b666093349 _:b666093348 . _:b665795354 . _:b665795353 . _:b665795352 . _:b668716298 . _:b666093374 _:b666093375 . _:b665459028 . _:b665795351 . _:b665459029 . _:b665795350 . _:b665857202 . _:b665459038 . _:b665795349 . _:b665458963 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665459031 . _:b665795348 . _:b666093371 _:b666093372 . _:b665795347 . _:b665459490 . _:b666093369 _:b666093370 . _:b665795346 . _:b665795345 . _:b666093367 _:b666093368 . _:b666093364 _:b666093365 . _:b665795344 . _:b665122067 . _:b665795439 . _:b665176455 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665795438 . _:b665122069 . _:b665795437 . _:b666093367 _:b666093369 . _:b665795436 . _:b674348909 . _:b666093360 _:b666093361 . _:b665795435 . _:b666093360 _:b666093362 . _:b665795434 . _:b666092882 . _:b666092883 . _:b665795433 . _:b666092880 . _:b666093362 _:b666093363 . _:b666092881 . _:b666092886 . _:b665459592 . _:b666092887 . _:b665795432 . _:b666092884 . _:b665122075 . _:b666092885 . . _:b666092890 . _:b666092891 . _:b665795431 . _:b666092888 . _:b666092889 . _:b665793913 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b666092894 . _:b666092895 . _:b665795430 . _:b666092892 . _:b666092893 . _:b666092866 . _:b666092867 . _:b665795429 . _:b666092864 . . _:b666092865 . _:b666092870 . _:b666092871 . _:b674348917 . _:b665795428 . _:b666092868 . _:b666092869 . _:b666093327 _:b666093332 . _:b666092874 . _:b665459128 . _:b666092875 . _:b665795427 . _:b663277671 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b666092872 . _:b666092873 . _:b666092878 . _:b665459129 . _:b666092879 . _:b665795426 . _:b666092876 . _:b666092877 . _:b666092914 . _:b665459130 . _:b666092915 . _:b665795425 . _:b666092912 . _:b666092913 . _:b666092918 . _:b665459131 . _:b666092919 . _:b665795424 . _:b666092916 . _:b666092917 . _:b666092922 . _:b665459132 . _:b666092923 . _:b665795455 . _:b666092920 . _:b666092921 . _:b666092926 . _:b665459133 . _:b666092927 . _:b665795454 . _:b666092924 . _:b666092925 . _:b666092898 . _:b665459134 . _:b666092899 . _:b665795453 . _:b666092896 . _:b666092897 . _:b666092902 . _:b665459135 . _:b666092903 . _:b665795452 . _:b666092900 . _:b666092777 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b666092901 . _:b666092906 . _:b666092907 . _:b665795451 . _:b666092904 . _:b666092905 . _:b666092910 . _:b666092911 . _:b665795450 . _:b663276207 . _:b674348424 . _:b666092908 . _:b666092909 . _:b666092818 . _:b665459122 . _:b666092819 . _:b665795449 . _:b666092816 . _:b666092817 . _:b666092822 . _:b665459123 . _:b666092823 . _:b665795448 . _:b666092820 . _:b666092821 . _:b666092826 . _:b665459124 . _:b666092827 . _:b665795447 . _:b662810312 . _:b666092824 . _:b666092825 . _:b666092830 . _:b666093332 _:b666093331 . _:b665459125 . _:b666092831 . _:b665795446 . _:b666092828 . _:b666092829 . _:b666092802 . _:b665459126 . _:b665970753 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665795445 . _:b666093335 _:b666093334 . _:b666092803 . _:b666092800 . _:b666092801 . _:b666092806 . _:b665459127 . _:b666092807 . _:b665795444 . _:b666092804 . _:b666092805 . _:b666093331 _:b666093330 . _:b666092810 . _:b666092811 . _:b674348866 . _:b665795443 . _:b666092808 . _:b666092809 . _:b666093331 _:b666093328 . _:b666092814 . _:b665459113 . _:b666092815 . _:b674348867 . _:b665795442 . _:b666092812 . _:b666092813 . _:b666092850 . _:b666093330 _:b666093329 . _:b665459114 . _:b666092851 . _:b674348864 . _:b665795441 . _:b666092848 . _:b666092849 . _:b666092854 . _:b666093340 _:b666093339 . _:b666092855 . _:b665795440 . _:b666093341 _:b666093340 . _:b666092852 . _:b666092853 . _:b665970723 . _:b666092858 . _:b666092859 . _:b665795407 . _:b665459108 . _:b666092856 . _:b666092857 . _:b665970934 . _:b666093343 _:b666093342 . _:b666092862 . _:b666092863 . _:b665795406 . _:b666092860 . _:b666092861 . _:b666092834 . _:b665459118 . _:b666092835 . _:b665795405 . _:b666092832 . _:b666093342 _:b666093341 . _:b666092833 . _:b665793574 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b666093333 _:b666093336 . _:b666092838 . _:b665459119 . _:b666092839 . _:b674348877 . _:b665795404 . _:b666093338 _:b666093346 . _:b666092836 . _:b666092837 . _:b666092842 . _:b665459104 . _:b666092843 . _:b665795403 . _:b665459112 . _:b666092840 . _:b666092841 . _:b668716364 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665970724 . _:b666092846 . _:b665459105 . _:b666092847 . _:b665795402 . _:b663276223 . _:b666092844 . _:b666092845 . _:b666093010 . _:b666093336 _:b666093335 . _:b665459106 . _:b666093011 . _:b665795401 . _:b663276222 . _:b666093008 . _:b666093009 . _:b666093014 . _:b665459107 . _:b666093015 . _:b665795400 . _:b663276221 . _:b666093012 . _:b666093013 . _:b666093018 . _:b666093019 . _:b665795399 . _:b663276220 . _:b666093016 . _:b666093017 . _:b666093022 . _:b666093023 . _:b665795398 . _:b665459117 . _:b663276219 . _:b665793488 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665176843 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b666093020 . _:b666093021 . _:b666092994 . _:b666092995 . _:b665795397 . _:b663276218 . _:b666092992 . _:b666092993 . _:b665176836 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b666092998 . _:b665971122 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665795396 . _:b666092999 . _:b663276217 . _:b666092996 . _:b666092997 . _:b666093002 . _:b665459096 . _:b666093003 . _:b665795395 . _:b663276216 . _:b666093000 . _:b666093001 . _:b666093006 . _:b665459097 . _:b666093007 . _:b675160436 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665795394 . _:b663276215 . _:b666093004 . _:b666093005 . _:b666093042 . _:b665459098 . _:b666093043 . _:b665795393 . _:b663276214 . _:b666093040 . _:b666093041 . _:b666093046 . _:b666093047 . _:b665795392 . _:b663276213 . _:b666093044 . _:b666093045 . _:b666093050 . _:b665459100 . _:b666093051 . _:b665795423 . _:b665459092 . _:b663276212 . _:b666093048 . _:b666093049 . _:b666093054 . _:b666093055 . _:b665795422 . _:b663276211 . _:b666093052 . _:b666093053 . _:b666093026 . _:b666093027 . _:b665795421 . _:b663276210 . _:b663276285 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b666093024 . _:b666093025 . _:b666093030 . _:b665459103 . _:b666093031 . _:b665795420 . _:b663276209 . _:b666093028 . _:b666093029 . _:b666093034 . _:b666093035 . _:b665795419 . _:b663276208 . _:b666093032 . _:b666093033 . _:b666093038 . _:b666093039 . _:b665795418 . _:b666093036 . _:b666093037 . _:b666092946 . _:b665459090 . _:b666092947 . _:b665795417 . _:b666092944 . _:b666092945 . _:b666092950 . _:b665459091 . _:b666092951 . _:b665795416 . _:b665459099 . _:b666092948 . _:b666092949 . _:b674016647 . _:b665121953 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b666092954 . _:b666092955 . _:b665795415 . _:b666092952 . _:b665122154 . _:b666092953 . _:b674016646 . _:b666092958 . _:b665459093 . _:b666092959 . _:b665795414 . _:b666092956 . _:b665176888 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b666092957 . _:b674016645 . _:b666092930 . _:b666092931 . _:b665795413 . _:b666092928 . _:b666092929 . _:b674016691 . _:b674016644 . _:b666092934 . _:b666092935 . _:b665795412 . _:b665857056 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b666092932 . _:b666092933 . _:b674016643 . _:b666092938 . _:b674348743 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665459080 . _:b666092939 . _:b665795411 . _:b666092936 . _:b666092937 . _:b674016642 . _:b665122137 . _:b666092942 . _:b665459081 . _:b666092943 . _:b665795410 . _:b668378695 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b666092940 . _:b666092941 . _:b674016641 . _:b666092978 . _:b665459082 . _:b666092979 . _:b665795409 . _:b666092976 . _:b666092977 . _:b674016695 . _:b666092982 . _:b665459083 . _:b666092983 . _:b665795408 . _:b666092980 . _:b665121973 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b666092981 . _:b666092986 . _:b665459084 . _:b666092987 . _:b665795503 . _:b666092984 . _:b665458969 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b666092985 . _:b666092990 . _:b665459085 . _:b666092991 . _:b665795502 . _:b666092988 . _:b666092989 . _:b666092962 . _:b666092963 . _:b665795501 . _:b666092960 . _:b666092961 . _:b666092966 . _:b665459087 . _:b666092967 . _:b665795500 . _:b666092964 . _:b666092965 . _:b666092970 . _:b666092971 . _:b665793902 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665795499 . _:b666092968 . _:b666092969 . _:b674016701 . _:b666092974 . _:b665459073 . _:b666092975 . _:b665795498 . _:b666092972 . _:b666092973 . _:b674016649 . _:b665122144 . _:b665459074 . _:b665795497 . _:b674016648 . _:b665459075 . _:b665795496 . _:b674348491 . _:b674016672 . _:b665459076 . _:b665795495 . _:b665459077 . _:b665795494 . _:b665459078 . _:b665459086 . _:b665795493 . _:b675160398 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b662809943 . _:b665459079 . _:b665795492 . _:b665795491 . _:b665795490 . _:b666092658 . _:b666092659 . _:b665795489 . _:b665459189 . _:b666092656 . _:b666092657 . _:b666092662 . _:b666092663 . _:b665795488 . _:b666092660 . _:b666092661 . _:b666092666 . _:b663277656 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b666092667 . _:b665795519 . _:b666092664 . _:b666092665 . _:b666092670 . _:b666092671 . _:b665795518 . _:b666092668 . _:b665795824 . _:b666092669 . _:b666092643 . _:b665795517 . _:b665793841 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b666092646 . _:b665795590 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b666092647 . _:b665795516 . _:b666092644 . _:b666092645 . _:b674016684 . _:b666092650 . _:b666092651 . _:b665795515 . _:b666092648 . _:b665122118 . _:b666092649 . _:b674016685 . _:b666092654 . _:b666092655 . _:b665795514 . _:b663276271 . _:b666092652 . _:b666092653 . _:b674016686 . _:b665795513 . _:b663276270 . _:b665795831 . _:b674016687 . _:b665795512 . _:b663276269 . _:b666093376 _:b666093377 . _:b665795511 . _:b663276268 . _:b665795510 . _:b663276267 . _:b665857564 . _:b665795509 . _:b663276266 . _:b666093378 _:b666093379 . _:b674016659 . _:b665795508 . _:b663276265 . _:b674016660 . _:b665459176 . _:b665795507 . _:b663276264 . _:b665795601 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665459169 . _:b665795506 . _:b663276263 . _:b665795505 . _:b663276262 . _:b665459179 . _:b665122271 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665795504 . _:b663276261 . _:b665795838 . _:b665795471 . _:b663276260 . _:b665459590 . _:b665795470 . _:b663276259 . _:b674016666 . _:b665795469 . _:b663276258 . . _:b665459588 . _:b665459175 . _:b665795468 . _:b663276257 . _:b665459168 . _:b665795467 . _:b663276256 . _:b674016515 . _:b665795466 . _:b663276287 . _:b666092754 . _:b665459170 . _:b666092755 . _:b665795465 . _:b663276286 . . _:b666092752 . _:b666092753 . _:b674016671 . _:b666092758 . _:b665459171 . _:b666092759 . _:b665795464 . _:b665459180 . _:b663276285 . _:b666092756 . _:b666092757 . _:b666092762 . _:b666092763 . _:b665795463 . _:b663276284 . _:b666092760 . _:b665795817 . _:b666092761 . _:b666092766 . _:b666093268 _:b666093267 . _:b666092767 . _:b665795462 . _:b666093269 _:b666093268 . _:b663276283 . _:b666092764 . _:b666092765 . _:b666092738 . _:b675160488 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b666092739 . _:b665795461 . _:b666093249 _:b666093250 . _:b663276282 . _:b666093275 _:b666093279 . _:b666092736 . _:b666092737 . _:b674016643 . _:b666092742 . _:b665857643 "2024-09-28T14:17:45.113004"^^ . _:b666092743 . _:b665795460 . _:b663276281 . _:b666092740 . _:b666092741 . _:b674016644 . _:b666092746 . _:b665459160 . _:b666092747 . _:b665795459 . _:b668378581 . _:b663276280 . _:b666092744 . _:b666092745 . _:b674016645 . _:b666092750 . _:b665459161 . _:b666092751 . _:b665795458 . _:b663276279 . _:b666092748 . _:b666092749 . _:b666092786 . _:b665459162 . _:b666092787 . _:b665795457 . _:b663276278 . _:b666092784 . _:b666092785 . _:b666092790 . _:b666093256 _:b666093257 . _:b666093278 _:b666093277 . _:b665459163 . _:b666092791 . _:b665795456 . _:b663276277 . _:b666093266 _:b666093269 . _:b666092788 . _:b666092789 . _:b666093279 _:b666093276 . _:b666092794 . _:b665459164 . _:b666092795 . _:b665795487 . _:b663276276 . _:b666092792 . _:b666092793 . _:b665122061 . _:b666093279 _:b666093278 . _:b666092798 . _:b665459165 . _:b666092799 . _:b665795486 . _:b663276275 . _:b666092796 . _:b666092797 . _:b666092770 . _:b665971133 . _:b665459166 . _:b666092771 . _:b665795485 . _:b663276274 . _:b666092768 . _:b666092769 . _:b666092774 . _:b665971132 . _:b665459167 . _:b666092775 . _:b665795484 . _:b663276273 . _:b666092772 . _:b666092773 . _:b666092778 . _:b665971135 . _:b665459152 . _:b666092779 . _:b665795483 . _:b663276272 . _:b665176364 "per discussion with Barry Smith" . _:b666092776 . _:b666092777 . _:b666093273 _:b666093272 . _:b666092782 . _:b665971134 . _:b665459153 . _:b666092783 . _:b665795482 . _:b663276239 . _:b666093274 _:b666093271 . _:b666093274 _:b666093273 . _:b666092780 . _:b666092781 . _:b674016654 . _:b666092690 . _:b665459154 . _:b666092691 . _:b665795481 . _:b666093270 _:b666093274 . _:b663276238 . _:b666092688 . _:b666092689 . _:b674016655 . _:b666092694 . _:b665459155 . _:b666092695 . _:b665795480 . _:b663276237 . _:b668379033 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b666092692 . _:b666092693 . _:b666092698 . _:b665459156 . _:b666092699 . _:b665795479 . _:b663276236 . _:b666092696 . _:b666092697 . _:b666092702 . _:b665459157 . _:b668378609 . _:b665795478 . _:b666092703 . _:b663276235 . _:b666092700 . _:b666092701 . _:b666092674 . _:b665459158 . _:b666092675 . _:b665795477 . _:b663276234 . _:b674016739 . _:b666092672 . _:b666092673 . _:b666092678 . _:b665459159 . _:b666092679 . _:b665795476 . _:b663276233 . _:b674016740 . _:b666092676 . _:b666092677 . _:b666093257 _:b666093260 . _:b666092682 . _:b665459144 . _:b668378610 . _:b665795475 . _:b666092683 . _:b663276232 . _:b674016741 . _:b666093252 _:b666093251 . _:b666092680 . _:b666092681 . _:b666092686 . _:b665459145 . _:b666092687 . _:b665795474 . _:b666093253 _:b666093252 . _:b663276231 . _:b666092684 . _:b666092685 . _:b666092722 . _:b665459146 . _:b666092723 . _:b665795473 . _:b665459138 . _:b663276230 . _:b666092720 . _:b666092721 . _:b666092726 . _:b665459147 . _:b668378621 . _:b665795472 . _:b666093259 _:b666093258 . _:b666092727 . _:b668378619 . _:b663276229 . _:b666092724 . _:b666092725 . _:b666092730 . _:b665459148 . _:b666092731 . _:b665795567 . _:b663276228 . _:b666092728 . _:b666092729 . _:b666092734 . _:b665459149 . _:b666092735 . _:b665795566 . _:b663276227 . _:b666092732 . _:b666092733 . _:b666092706 . _:b665459150 . _:b666092707 . _:b668378595 . _:b665795565 . _:b663276226 . _:b666093061 _:b666093055 . _:b666092704 . _:b666092705 . _:b666092710 . _:b666093250 _:b666093253 . _:b666093260 _:b666093259 . _:b665459151 . _:b666092711 . _:b665795564 . _:b663276225 . _:b666092708 . _:b666092709 . _:b666092714 . _:b665459136 . _:b668378620 . _:b665795563 . _:b666092715 . _:b663276224 . . _:b666092712 . _:b666092713 . _:b666092718 . _:b665459137 . _:b666092719 . _:b665795562 . _:b663276255 . _:b666092716 . _:b666092717 . _:b665971137 . _:b665795561 . _:b663276254 . _:b665176382 "per discussion with Barry Smith" . _:b665857214 . _:b665459139 . _:b665971136 . _:b665795560 . _:b663276253 . _:b665459140 . _:b665971139 . _:b665795559 . _:b663276252 . _:b666093296 _:b666093300 . _:b666093291 _:b666093292 . _:b665971138 . _:b665971145 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665795558 . _:b663276251 . _:b665176377 "per discussion with Barry Smith" . _:b666093378 . _:b665971141 . _:b666093379 . _:b665795557 . _:b663276250 . _:b666093376 . _:b666093377 . _:b665971057 . _:b665459143 . _:b665971140 . _:b665795556 . _:b663276249 . _:b666093380 . _:b665795555 . _:b663276248 . _:b665795554 . _:b663276247 . _:b678849937 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665971058 . _:b665795553 . _:b663276246 . _:b665795552 . _:b663276245 . _:b666093300 _:b666093297 . _:b665795583 . _:b663276244 . _:b674016669 . _:b666093300 _:b666093299 . _:b668378607 . _:b665795582 . _:b663276243 . _:b674016670 . _:b668378606 . _:b665795581 . _:b663276242 . _:b674016671 . _:b665795580 . _:b668379145 . _:b663276241 . _:b665795579 . _:b668379144 . _:b663276240 . _:b666093299 _:b666093298 . _:b665795578 . _:b663276335 . _:b666093330 . _:b668378571 . _:b665795577 . _:b665971153 . _:b666093331 . _:b663276334 . _:b666093328 . _:b666093329 . _:b666093334 . _:b666093335 . _:b678850137 . _:b668379149 . _:b665795576 . _:b665971152 . _:b663276333 . _:b665971058 . _:b666093332 . _:b666093333 . _:b666093338 . _:b666093339 . _:b665795575 . _:b663276332 . _:b665971057 . _:b666093336 . _:b666093337 . _:b678849940 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b674016754 . _:b666093342 . _:b666093343 . _:b665795574 . _:b663276331 . _:b666093340 . _:b666093341 . _:b674016753 . _:b666093314 . _:b666093315 . _:b665795573 . _:b663276330 . _:b666093312 . _:b666093313 . _:b674016752 . _:b666093318 . _:b666093319 . _:b665795572 . _:b663276329 . _:b674016672 . _:b666093316 . _:b666093317 . _:b665857269 . _:b666093322 . _:b666093323 . _:b665795571 . _:b663276328 . _:b674016673 . _:b666093320 . _:b666093321 . _:b666093326 . _:b668378572 . _:b665795570 . _:b666093327 . _:b663276327 . _:b674016674 . _:b666093324 . _:b666093325 . _:b666093362 . _:b666093363 . _:b663277955 "2024-07-04T11:33:05.909421"^^ . _:b665795569 . _:b663276326 . _:b674016675 . _:b665459264 . _:b666093360 . _:b666093361 . _:b666093366 . _:b666093367 . _:b665795568 . _:b663276325 . _:b666093364 . _:b666093365 . _:b674016728 . _:b666093370 . _:b666093371 . _:b668379140 . _:b665795535 . _:b663276324 . _:b666093368 . _:b666093369 . _:b666093374 . _:b666093375 . _:b668379143 . _:b665795534 . _:b663276323 . _:b665459269 . _:b666093372 . _:b666093373 . _:b666093346 . _:b666093347 . _:b668379142 . _:b665795533 . _:b663276322 . _:b666093344 . _:b666093345 . _:b666093350 . _:b666093351 . _:b665795532 . _:b663276321 . _:b666093348 . _:b666093349 . _:b665971181 . _:b666093354 . _:b666093355 . _:b665795531 . _:b663276320 . _:b666093352 . _:b666093353 . _:b665971182 . _:b666093358 . _:b674016287 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b666093359 . _:b665795530 . _:b663276351 . _:b666093356 . _:b666093357 . _:b674016734 . _:b665971183 . _:b665795529 . _:b663276350 . _:b665459272 . _:b674016735 . _:b665795528 . _:b663276349 . _:b665176351 "per discussion with Barry Smith" . _:b668378572 . _:b665795527 . _:b663276348 . _:b665857248 . _:b665795526 . _:b663276347 . _:b665795525 . _:b663276346 . _:b665971172 . _:b665459276 . _:b666093191 _:b666093190 . _:b665795524 . _:b663276345 . _:b665971173 . _:b665795523 . _:b663276344 . _:b668378571 . _:b666093190 _:b666093189 . _:b665795522 . _:b663276343 . _:b666093196 _:b666093205 . _:b665857255 . _:b666092894 "1"^^ . _:b665795521 . _:b663276342 . _:b665176877 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665856993 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b666092893 "1"^^ . _:b665122341 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665795520 . _:b663276341 . _:b666092892 "1"^^ . _:b665795551 . _:b663276340 . _:b665795550 . _:b663276339 . _:b666093188 _:b666093191 . _:b665795549 . _:b663276338 . _:b665176418 "per discussion with Barry Smith" . _:b666093214 _:b666093215 . _:b666092648 . _:b674348963 "2025-02-28T21:21:49.518838"^^ . _:b665795548 . _:b663276337 . _:b666093209 _:b666093210 . _:b665795547 . _:b663276336 . _:b666093199 _:b666093198 . _:b665795546 . _:b663276303 . _:b666092886 "1"^^ . _:b665795545 . _:b663276302 . _:b666093198 _:b666093197 . _:b665971184 . _:b666092885 "1"^^ . _:b665857262 . _:b666093208 _:b666093212 . _:b665971185 . _:b665795544 . _:b663276301 . _:b665971186 . _:b666093200 _:b666093199 . _:b666092709 . _:b665795543 . _:b663276300 . _:b666093204 _:b666093203 . _:b665971208 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665795542 . _:b666093205 _:b666093204 . _:b663276299 . _:b663277674 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665795541 . _:b663276298 . _:b666092873 "1"^^ . _:b665795540 . _:b663276297 . _:b666093202 _:b666093201 . _:b666093203 _:b666093202 . _:b668378686 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665794050 . _:b665795539 . _:b663276296 . _:b662810269 . _:b666092879 "1"^^ . _:b674348776 "1"^^ . _:b665795538 . _:b663276295 . _:b663276345 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b674348777 "1"^^ . _:b666093201 _:b666093200 . _:b665795537 . _:b665793576 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b663276294 . _:b665971124 . _:b665857535 . _:b666093212 _:b666093211 . _:b665795536 . _:b663276293 . _:b665971123 . _:b665795631 . _:b663276292 . _:b666093213 _:b666093217 . _:b665795630 . _:b663276291 . _:b665857528 . _:b665795629 . _:b663276290 . _:b666093211 _:b666093209 . _:b665794053 . _:b665795628 . _:b663276289 . _:b665971206 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b662810266 . _:b665795627 . . _:b663276288 . _:b662809940 . _:b665795626 . _:b668379227 . _:b663276319 . _:b666093138 . _:b666093139 . _:b665795625 . _:b663276318 . _:b666093136 . _:b666093137 . _:b666093142 . _:b666093143 . _:b665795624 . _:b663276317 . _:b666093140 . _:b666093141 . _:b666093146 . _:b666093147 . _:b665795623 . _:b663276316 . _:b666093144 . _:b666093145 . _:b666093150 . _:b666093151 . _:b665795622 . _:b663276315 . _:b666093148 . _:b666093149 . _:b666093122 . _:b666093224 _:b666093223 . _:b666093123 . _:b665795621 . _:b665794060 . _:b663276290 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b666093120 . _:b663276314 . _:b666093121 . _:b678849928 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b666093126 . _:b666093127 . _:b665795620 . _:b663276313 . _:b666093124 . _:b666093125 . _:b666093130 . _:b666093131 . _:b665795619 . _:b663276312 . _:b665971130 . _:b665459218 . _:b666093128 . _:b666093129 . _:b666093243 _:b666093244 . _:b666093134 . _:b666093135 . _:b665795618 . _:b666093216 _:b666093214 . _:b663276311 . _:b666093132 . _:b666093133 . _:b666093229 _:b666093228 . _:b666093170 . _:b666093171 . _:b665795617 . _:b666093218 _:b666093224 . _:b666092747 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b663276310 . _:b666093230 _:b666093229 . _:b665971106 . _:b666093168 . _:b666093169 . _:b666093174 . _:b666093175 . _:b665795616 . _:b663276309 . _:b666093172 . _:b666093173 . _:b666093178 . _:b666093179 . _:b668379220 . _:b665795647 . _:b665971116 . _:b663276308 . _:b666093176 . _:b666093177 . _:b666093182 . _:b666093183 . _:b665795646 . _:b665971117 . _:b663276307 . _:b665971105 . _:b666093180 . _:b666093181 . _:b666093154 . _:b666093155 . _:b665795645 . _:b666093217 _:b666093216 . _:b665971114 . _:b663276306 . _:b665459220 . _:b666093152 . _:b666093153 . _:b666093223 _:b666093222 . _:b666093158 . _:b666093159 . _:b665795644 . _:b665971115 . _:b663276305 . _:b666093156 . _:b666093157 . _:b666093162 . _:b666093163 . _:b665795643 . _:b665971112 . _:b663276304 . _:b666093222 _:b666093221 . _:b665459226 . _:b666093160 . _:b666093161 . _:b666093166 . _:b666093220 _:b666093219 . _:b666093167 . _:b665795642 . _:b666093221 _:b666093220 . _:b665971113 . _:b663276399 . _:b665971107 . _:b666093164 . _:b666093165 . _:b666092758 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b666093074 . _:b666093075 . _:b662809926 . _:b665795641 . _:b666093227 _:b666093230 . _:b663276398 . _:b665459224 . _:b666093072 . _:b666093073 . _:b666093078 . _:b666093246 _:b666093245 . _:b666093079 . _:b665795640 . _:b663276397 . _:b666093076 . _:b666093077 . _:b666093082 . _:b674348846 . _:b666093083 . _:b665795639 . _:b663276396 . _:b665459230 . _:b666093080 . _:b666093081 . _:b666093247 _:b666093246 . _:b666093086 . _:b666093087 . _:b678849732 . _:b665795638 . _:b663276395 . _:b665971119 . _:b666093084 . _:b665795448 . _:b666093085 . _:b665795474 . _:b666093058 . _:b666093059 . _:b674348548 . _:b665795637 . _:b663276394 . _:b665971118 . _:b666093056 . _:b666093057 . _:b666093062 . _:b666093063 . _:b665795636 . _:b663276393 . _:b666093060 . _:b666093061 . _:b666093066 . _:b665793912 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b666093067 . _:b665795635 . _:b663276392 . _:b662809933 . _:b666093064 . _:b666093065 . _:b666093070 . _:b666093071 . _:b665795634 . _:b663276391 . _:b666093068 . _:b666093069 . _:b666093106 . _:b666093107 . _:b665795633 . _:b663276390 . _:b666093104 . _:b665795455 . _:b666093105 . _:b666093110 . _:b666093111 . _:b665795632 . _:b663276389 . _:b665971093 . _:b666093108 . _:b666093109 . _:b666093114 . _:b674348838 . _:b666093115 . _:b665795599 . _:b663276388 . _:b665459206 . _:b666093112 . _:b666093113 . _:b666093118 . _:b666093119 . _:b665795598 . _:b663276387 . _:b666093116 . _:b666093117 . _:b668716806 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b666093090 . _:b666093091 . _:b665795597 . _:b663276386 . _:b665459204 . _:b666093088 . _:b666093089 . _:b666093094 . _:b666093095 . _:b665795596 . _:b663276385 . _:b666093244 _:b666093247 . _:b665971095 . _:b665459211 . _:b666093092 . _:b666093093 . _:b668378894 . _:b666093098 . _:b666093099 . _:b665795595 . _:b663276384 . _:b665971092 . _:b666093096 . _:b666093097 . _:b666093102 . _:b666093103 . _:b665795594 . _:b663276415 . _:b666093100 . _:b666093101 . _:b666093266 . _:b666093267 . _:b665795593 . _:b663276414 . _:b668378664 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b666093264 . _:b663276369 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b666093265 . _:b666093270 . _:b666093271 . _:b665795592 . _:b663276413 . _:b666093268 . _:b666093269 . _:b666093274 . _:b666093275 . _:b665795591 . _:b663276412 . _:b675160489 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b666093272 . _:b666093273 . _:b666093278 . _:b666093279 . _:b665795590 . _:b663276411 . _:b665459213 . _:b666093276 . _:b666093277 . _:b666093250 . _:b666093251 . _:b665795589 . _:b663276410 . _:b668378894 . _:b665857016 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665971096 . _:b666093248 . _:b666093249 . _:b666092824 "1"^^ . _:b666093254 . _:b666093255 . _:b665795588 . _:b663276409 . _:b666093252 . _:b666093253 . _:b666092825 "1"^^ . _:b666093258 . _:b666093259 . _:b665795587 . _:b663276408 . _:b665459250 . _:b666093256 . _:b666093257 . _:b666093262 . _:b666093263 . _:b665795586 . _:b663276407 . _:b666093260 . _:b666093261 . _:b666093298 . _:b666093299 . _:b665795585 . _:b663276406 . _:b665459248 . _:b666093296 . _:b666093297 . _:b666093302 . _:b666093303 . _:b665795584 . _:b663276405 . _:b666093300 . _:b666093301 . _:b666093306 . _:b666093307 . _:b665795615 . _:b663276404 . _:b665459254 . _:b666093304 . _:b666093305 . _:b666093310 . _:b666093311 . _:b665795614 . _:b663276403 . _:b666093308 . _:b666093309 . _:b666093282 . _:b666093283 . _:b665795613 . _:b663276402 . _:b666093280 . _:b666093281 . _:b666093286 . _:b668716343 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b666093287 . _:b665795612 . _:b663276401 . _:b668378905 . _:b666093284 . _:b666093285 . _:b666093290 . _:b665458940 . _:b666093291 . _:b668378910 . _:b665795611 . _:b663276400 . _:b665459258 . _:b666093288 . _:b666093289 . _:b674016343 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b668379081 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b666093294 . _:b665458941 . _:b666093295 . _:b665795610 . _:b663276367 . _:b666093292 . _:b666093293 . _:b668378908 . _:b666093202 . _:b665458942 . _:b666093203 . _:b665795609 . _:b663276366 . _:b666093200 . _:b666093201 . _:b666093206 . _:b665458943 . _:b666093207 . _:b665795608 . _:b663276365 . _:b666093204 . _:b666093205 . _:b666093210 . _:b666093211 . _:b674348646 . _:b665795607 . _:b663276364 . _:b668378908 . _:b666093208 . _:b666093209 . _:b666093214 . _:b666093336 . _:b665795606 . _:b666093215 . _:b663276363 . _:b666093212 . _:b666093213 . _:b666093186 . _:b666093187 . _:b665795605 . _:b665970776 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b663276362 . _:b666093184 . _:b666093185 . _:b668378905 . _:b666093190 . _:b665458939 . _:b666093191 . _:b665795604 . _:b663276361 . _:b666093188 . _:b666093189 . _:b666093194 . _:b666093195 . _:b674348642 . _:b665795603 . _:b663276360 . _:b666093192 . _:b666093193 . _:b666093198 . _:b665795569 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b666093199 . _:b668378903 . _:b665795602 . _:b665458929 . _:b663276359 . _:b666093196 . _:b666093197 . _:b666093234 . _:b666093235 . _:b665795601 . _:b665458930 . _:b663276358 . _:b668378898 . _:b666093232 . _:b666093233 . _:b668378901 . _:b666093238 . _:b666093239 . _:b665795600 . _:b663276357 . _:b668378901 . _:b666093236 . _:b666093237 . _:b668378898 . _:b666093242 . _:b666093243 . _:b665795695 . _:b663276356 . _:b666093240 . _:b666093241 . _:b666093246 . _:b666093247 . _:b665795694 . _:b663276355 . _:b665459237 . _:b666093244 . _:b666093245 . _:b666093218 . _:b666093219 . _:b668378896 . _:b665970811 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665795693 . _:b663276354 . _:b666093216 . _:b666093217 . _:b666093222 . _:b666093223 . _:b665795692 . _:b663276353 . _:b665971185 . _:b666093220 . _:b666093221 . _:b666093226 . _:b666093227 . _:b665795691 . _:b665458936 . _:b663276352 . _:b674348603 . _:b666093224 . _:b666093225 . _:b666093230 . _:b666093231 . _:b665795690 . _:b663276383 . . _:b665971187 . _:b665459241 . _:b666093228 . _:b666093229 . _:b665795689 . _:b663276382 . "Holger Stenzhorn"@en . _:b665971194 . _:b665971196 . _:b665795688 . _:b663276381 . _:b665795687 . _:b663276380 . _:b665458941 . _:b665795686 . _:b663276379 . _:b665971199 . _:b665458942 . _:b665795685 . _:b663276378 . _:b665795684 . _:b663276377 . _:b665176613 . . _:b665795683 . _:b663276376 . _:b668378912 . _:b668378919 . _:b665458913 . _:b665795682 . _:b665458865 . _:b663276375 . _:b668378915 . _:b665459409 . _:b662809900 . _:b665793846 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665795681 . _:b665458866 . _:b665458914 . _:b663276374 . _:b665971172 . _:b665458915 . _:b668378917 . _:b665795680 . _:b663276373 . _:b665458876 . _:b665795711 . _:b663276372 . _:b665971168 . _:b665971174 . _:b662809897 . _:b668378915 . _:b665458869 . _:b665795710 . _:b663276371 . _:b668378919 . _:b668378912 . _:b665458870 . _:b665795709 . _:b663276370 . _:b665795708 . _:b663276369 . _:b665458911 . _:b665795707 . _:b663276368 . _:b665971170 . _:b665795706 . _:b665795253 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b663276463 . _:b665795705 . _:b663276462 . _:b665458875 . _:b665795704 . _:b663276461 . . _:b665459423 . _:b665458924 . _:b665795703 . _:b663276460 . _:b665458925 . _:b665795702 . _:b665458877 . _:b663276459 . _:b665795701 . _:b663276458 . _:b665971176 . _:b666092928 . _:b665795700 . _:b663276457 . _:b674016656 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665458919 . _:b665795699 . _:b663276456 . _:b665458918 . _:b665795698 . _:b663276455 . _:b665971179 . _:b665458917 . _:b665795697 . _:b663276454 . _:b665458916 . _:b665795696 . _:b663276453 . _:b665458915 . _:b665795663 . _:b663276452 . _:b665458914 . _:b665795662 . _:b663276451 . _:b665458913 . _:b665795661 . _:b663276450 . _:b674348408 . _:b665971152 . _:b665458912 . _:b665795660 . _:b663276449 . _:b665971159 . _:b665795659 . _:b663276448 . _:b665971154 . _:b665459402 . _:b665795658 . _:b663276479 . _:b665458858 . _:b665795657 . _:b663276478 . _:b665458859 . _:b674348617 . _:b665795656 . _:b663276477 . _:b665971165 . _:b665795655 . _:b663276476 . _:b668716774 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665795654 . _:b663276475 . _:b678849771 . _:b665795653 . _:b674348628 . _:b663276474 . _:b665795652 . _:b663276473 . _:b665971167 . _:b665971161 . _:b665795651 . _:b663276472 . _:b665795650 . _:b663276471 . _:b665971163 . _:b665459441 . _:b678849502 . _:b665795649 . _:b663276470 . _:b665795648 . _:b663276469 . _:b665795679 . _:b663276468 . _:b665795678 . _:b663276467 . _:b665795677 . _:b663276466 . _:b663277707 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665795676 . _:b663276465 . _:b665971137 . _:b665795675 . _:b663276464 . _:b665795674 . _:b663276431 . _:b665795673 . _:b663276430 . _:b665971148 . _:b665795672 . _:b674348236 . _:b663276429 . _:b665795671 . _:b663276428 . _:b665795670 . _:b663276427 . _:b665795669 . _:b663276426 . _:b665971144 . _:b665795668 . _:b663276425 . _:b665795667 . _:b663276424 . _:b665795666 . _:b663276423 . _:b665795665 . _:b665857572 . _:b663276422 . _:b665795664 . _:b663276421 . _:b665459431 . _:b665970748 . _:b665795759 . _:b663276420 . _:b665970736 . _:b665795758 . _:b663276419 . _:b665970737 . _:b665458998 . _:b665795757 . _:b665970746 . _:b663276418 . _:b665459428 . _:b665970747 . _:b665795756 . _:b663276417 . _:b665795775 . _:b668378654 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665970744 . _:b665795755 . _:b663276416 . _:b665970738 . _:b665970745 . _:b665795754 . _:b663276447 . _:b665970816 . _:b665795753 . _:b663276446 . _:b665970817 . _:b665970743 . _:b665795752 . _:b663276445 . _:b666093058 _:b666093057 . _:b665795462 . _:b665459004 . _:b665795751 . _:b663276444 . _:b674348869 . _:b665970750 . _:b665459005 . _:b665795750 . _:b663276443 . _:b666093056 _:b666093058 . _:b665795749 . _:b663276442 . _:b665795748 . _:b663276441 . _:b665795747 . _:b663276440 . _:b674348865 . _:b666093060 _:b666093059 . _:b665795469 . _:b668379055 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b675160975 . _:b666093061 _:b666093060 . _:b665795746 . _:b663276439 . _:b665970749 . _:b665795745 . _:b663276438 . _:b665970724 . _:b665795744 . _:b663276437 . _:b666093064 _:b666093063 . _:b665970723 . _:b666093065 _:b666093064 . _:b665795775 . _:b663276436 . _:b674348877 . _:b665795774 . _:b663276435 . _:b665970727 . _:b666093062 _:b666093065 . _:b665795773 . _:b663276434 . _:b665970726 . _:b665795772 . _:b663276433 . _:b665795771 . _:b663276432 . _:b665795770 . _:b663276527 . _:b662809754 . _:b665795769 . _:b663276526 . _:b665970835 . _:b665795768 . _:b663276525 . _:b665795767 . _:b663276524 . . _:b665795766 . _:b663276523 . _:b665795765 . _:b663276522 . _:b665794076 . _:b665795764 . _:b663276521 . _:b665458920 . _:b665795763 . _:b663276520 . _:b665458961 . _:b665795762 . _:b663276519 . _:b662810102 . _:b665970836 . _:b665795761 . _:b663276518 . _:b662810103 . _:b662810087 . _:b665795760 . _:b663276517 . _:b665794083 . _:b665795727 . _:b663276516 . _:b665458965 . _:b665795726 . _:b663276515 . _:b666092838 . _:b665795725 . _:b663276514 . _:b665793516 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b662810083 . _:b665795724 . _:b663276513 . _:b665122502 . _:b668378712 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b666093017 . _:b665795723 . _:b663276512 . _:b665795722 . _:b663276543 . _:b665795721 . _:b674016673 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b663276542 . _:b665458971 . _:b665795720 . _:b663276541 . _:b662810109 . _:b666092842 _:b666092840 . _:b662810108 . _:b665793523 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665795719 . _:b663276540 . _:b662810108 . _:b665970689 . _:b665795718 . _:b663276539 . _:b666092839 _:b666092843 . _:b665970688 . _:b662809775 . _:b666092843 _:b666092842 . _:b665459223 . _:b665795717 . _:b663276538 . _:b665795716 . _:b663276537 . _:b662810104 . _:b666092847 _:b666092845 . _:b666092832 _:b666092831 . _:b665458896 . . _:b665795715 . _:b663276536 . _:b665458905 . _:b665795220 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665795714 . _:b663276535 . _:b674348915 . _:b662810070 . _:b665458898 . _:b665795713 . _:b663276534 . _:b665795712 . _:b666092834 _:b666092833 . _:b666092835 _:b666092834 . _:b665795743 . _:b674016834 . _:b663276532 . _:b674348909 . _:b662810069 . _:b665857582 . _:b674016835 . _:b665795742 . _:b663276531 . _:b674348908 . _:b665458910 . _:b666092833 _:b666092832 . _:b674016832 . _:b665795741 . _:b663276530 . _:b662810099 . _:b665795740 . _:b674016833 . _:b663276529 . _:b662810075 . _:b666093055 _:b666093056 . _:b665458904 . _:b674016838 . _:b665795739 . _:b663276528 . _:b665970702 . _:b665458897 . _:b666092836 _:b666092835 . _:b665795738 . _:b674016839 . _:b663276495 . _:b666092844 _:b666092848 . _:b665458954 . _:b674016836 . _:b665795737 . _:b663276494 . _:b674348711 . _:b666092840 _:b666092841 . _:b666093054 _:b666093061 . _:b665458955 . _:b674016837 . _:b668379286 . _:b665795736 . _:b666092861 _:b666092860 . _:b663276493 . _:b665458956 . _:b674016842 . _:b665795735 . _:b663276492 . _:b665458901 . _:b665458957 . _:b674016843 . _:b665795734 . _:b663276491 . _:b666092849 _:b666092855 . _:b665795733 . _:b674348708 . _:b674016840 . _:b663276490 . _:b674348706 . _:b666092860 _:b666092859 . _:b665970689 . _:b666092845 _:b666092846 . _:b674016841 . _:b665795732 . _:b663276489 . _:b674348707 . _:b665970688 . _:b665795731 . _:b674016846 . _:b663276488 . _:b674348704 . _:b665795730 . _:b674348705 . _:b674016847 . _:b663276487 . _:b665458890 . _:b665458882 . _:b674016844 . _:b665795729 . _:b663276486 . _:b666092855 _:b666092854 . _:b674348718 . . _:b665458891 . _:b674348688 . _:b665459024 . _:b674016845 . _:b665795728 . _:b663276485 . _:b665970805 . _:b674348719 . _:b665458944 . _:b674348846 "1"^^ . _:b666092848 _:b666092847 . _:b665795823 . _:b674348712 . _:b674016850 . _:b663276484 . _:b674348717 . _:b666092854 _:b666092853 . _:b665458945 . _:b674348845 "1"^^ . _:b666092858 _:b666092861 . _:b666092852 _:b666092851 . _:b665458893 . _:b666092853 _:b666092852 . _:b674016851 . _:b665795822 . _:b663276483 . _:b665970807 . _:b674348844 "1"^^ . _:b665458886 . _:b674348714 . _:b674016848 . _:b665795821 . _:b663276482 . _:b674348715 . _:b662809780 . _:b668379210 . _:b665795820 . _:b674016849 . _:b663276481 . _:b665970801 . _:b666092851 _:b666092850 . _:b662810048 . _:b665795819 . _:b674016854 . _:b663276480 . _:b674348713 . _:b665795818 . _:b674016855 . _:b663276511 . _:b665970803 . _:b665795817 . _:b674016852 . _:b662810083 . _:b663276510 . _:b665458883 . _:b665795816 . _:b674016853 . _:b663276509 . _:b678849951 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b674348838 "1"^^ . _:b675160847 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665458892 . _:b674016858 . _:b665795815 . _:b663276508 . _:b674348837 "1"^^ . _:b665795814 . _:b674016859 . _:b663276507 . _:b674348675 . _:b665795813 . _:b674016856 . _:b663276506 . _:b665458887 . _:b665795812 . _:b674016857 . _:b662810084 . _:b663276505 . _:b665795811 . _:b674016862 . _:b663276504 . _:b665970810 . _:b665459513 . _:b674348825 "1"^^ . _:b665795810 . _:b674016863 . _:b663276503 . _:b662810076 . _:b665459514 . _:b674348687 . _:b665795809 . _:b674016860 . _:b663276502 . _:b662810077 . _:b668379279 . _:b665459515 . _:b674348831 "1"^^ . _:b666093066 . _:b674348680 . _:b674016861 . _:b665971180 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665795808 . _:b663276501 . _:b663277616 . _:b665459516 . _:b666093067 . _:b674016866 . _:b674016470 . _:b665795839 . _:b665459508 . _:b663276500 . _:b668379272 . _:b674348735 . _:b665459517 . _:b674016471 . _:b665795838 . _:b674016867 . _:b663276499 . _:b674348734 . _:b665459518 . _:b665795837 . _:b674348540 . _:b674016864 . _:b663276498 . _:b665970790 . _:b662810073 . _:b665459519 . _:b665795836 . _:b674348677 . _:b674016865 . _:b663276497 . _:b665970785 . _:b662810064 . _:b662810074 . _:b665459504 . _:b674348676 . _:b674348673 . _:b665795835 . _:b674016870 . _:b663276496 . _:b662810075 . _:b674348674 . _:b665459505 . _:b674348679 . _:b665795834 . _:b674016871 . _:b665459506 . _:b665795833 . _:b674348678 . _:b674016868 . _:b665459032 . _:b665970796 . _:b665459507 . _:b665795832 . _:b674016869 . _:b665459039 . _:b666092821 _:b666092820 . _:b674016472 . _:b665459023 . _:b674348729 . _:b674016874 . _:b665795831 . _:b666092822 _:b666092821 . _:b674348731 . _:b665459509 . _:b665459022 . _:b674348730 . _:b674016875 . _:b665795830 . _:b665459510 . _:b665795829 . _:b674348728 . _:b674016872 . _:b665970798 . _:b665970792 . _:b665795828 . _:b674016873 . _:b665970799 . _:b674348732 . _:b665459496 . _:b665795827 . _:b674016878 . _:b665970794 . _:b665459009 . _:b674348733 . _:b665856970 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665459497 . _:b665795826 . _:b674016879 . _:b665459010 . _:b665459498 . _:b665795825 . _:b674016876 . _:b674348725 . _:b665459011 . _:b665459499 . _:b666092829 _:b666092828 . _:b674348726 . _:b674016877 . _:b665795824 . _:b665459500 . _:b666092819 _:b666092822 . _:b674016882 . _:b665795791 . _:b674348720 . _:b666092831 _:b666092830 . _:b674348724 . _:b674348722 . _:b665459501 . _:b665793950 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b674348495 . _:b674016883 . _:b665795790 . _:b665970775 . _:b674348721 . _:b674348682 . _:b662810018 . _:b674348723 . _:b665459502 . _:b674348683 . _:b665795789 . _:b674348681 . _:b674016880 . _:b665970768 . _:b674348685 . _:b666092830 _:b666092829 . _:b665459503 . _:b674348684 . _:b665795788 . _:b674348727 . _:b674348686 . _:b674016881 . _:b665459488 . _:b666092827 _:b666092836 . _:b674016886 . _:b665795787 . _:b674016848 . _:b665459489 . _:b662810017 . _:b665795786 . _:b674016887 . _:b674348672 . . _:b662810072 . _:b662810016 . _:b665795785 . _:b674016884 . _:b674348690 . _:b665795784 . _:b674348809 . _:b674016885 . _:b674348689 . _:b674348691 . _:b665459492 . _:b665795783 . _:b674016890 . _:b662810116 . _:b674016896 . _:b665459493 . _:b665795782 . _:b674016891 . . _:b665970783 . _:b674348716 . _:b665459494 . _:b665795781 . _:b674016888 . _:b662810114 . _:b665459495 . _:b665795780 . _:b674016889 . _:b674348695 . _:b665795779 . _:b674348694 . _:b674348498 . _:b674016894 . _:b665459058 . _:b665795778 . _:b674016895 . _:b665970779 . _:b674348693 . _:b665795777 . _:b674348692 . _:b674016892 . _:b665970754 . _:b665459483 . _:b674348700 . _:b665795776 . _:b674348702 . _:b674348497 . _:b674016893 . _:b668378568 . _:b665459484 . _:b665795807 . _:b674348703 . _:b674016770 . _:b674348698 . _:b665857369 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b674348696 . _:b665795806 . _:b674016771 . _:b665459061 . _:b665857062 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b674348697 . _:b674348701 . _:b665459478 . _:b674348508 . _:b674016768 . _:b665795805 . _:b662810071 . _:b665795804 . _:b674016769 . _:b674348709 . _:b668378564 . _:b665793943 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665176477 . _:b665795803 . _:b674016774 . _:b674348710 . _:b665459473 . _:b665795802 . _:b674016775 . _:b663276559 . _:b675160759 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665970755 . _:b666092929 . _:b668379017 . _:b665459474 . _:b674348699 . _:b665459482 . _:b674016772 . _:b665795801 . _:b663276558 . _:b674348761 . _:b668378941 . _:b668379016 . _:b665459475 . _:b666092901 _:b666092905 . _:b665795800 . _:b674016773 . _:b663276557 . _:b668378940 . _:b666092904 _:b666092903 . _:b665459071 . _:b668379019 . _:b665459476 . _:b675160837 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665856960 "per discussion with Barry Smith" . _:b666092905 _:b666092902 . _:b674016778 . _:b665795799 . _:b666092905 _:b666092904 . _:b663276556 . _:b668379018 . _:b665459477 . _:b665795798 . _:b674016779 . _:b663276555 . _:b674348762 . _:b668379021 . _:b665795797 . _:b674016776 . _:b663276554 . _:b668379020 . _:b665459487 . _:b674016777 . _:b665795796 . _:b663276553 . _:b665970761 . _:b668379023 . _:b665459456 . _:b674016782 . _:b665795795 . _:b663276552 . _:b666092910 _:b666092907 . _:b668379022 . _:b665856973 "per discussion with Barry Smith" . _:b674348764 . _:b674016254 . _:b665795794 . _:b674016783 . _:b662810106 . _:b663276551 . _:b666092922 _:b666092923 . _:b666092909 _:b666092908 . _:b665459466 . _:b674348765 . _:b666092897 _:b666092900 . _:b674016780 . _:b662810107 . _:b665795793 . _:b663276550 . _:b666092910 _:b666092909 . _:b665459467 . _:b674016239 . _:b662810011 . _:b665795792 . _:b674348754 . _:b674016781 . _:b662810104 . _:b663276549 . _:b666092899 _:b666092898 . _:b665459468 . _:b662810116 . _:b674016786 . _:b662810105 . _:b663276548 . _:b674348752 . _:b662810013 . _:b662810115 . _:b674016787 . _:b663276547 . _:b674348763 . _:b665459470 . _:b674016251 . _:b662810012 . _:b665459462 . _:b674348753 . _:b674016784 . _:b663276546 . _:b662810015 . _:b674016785 . _:b663276545 . _:b668379015 . _:b662810014 . _:b674016790 . _:b663276544 . _:b665459457 . _:b666092900 _:b666092899 . _:b666092906 _:b666092910 . _:b674016791 . _:b663276575 . _:b674348768 . _:b674016788 . _:b675160769 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b663276574 . _:b665793543 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b674016789 . _:b663276573 . _:b674348751 . _:b674348746 . _:b665459460 . _:b668379035 . _:b674016794 . _:b663276572 . _:b674348745 . _:b666092888 _:b666092891 . _:b665459461 . _:b666092884 _:b666092883 . _:b665459469 . _:b674016795 . _:b662810057 . _:b663276571 . _:b665459053 . _:b662810056 . _:b674016792 . _:b663276570 . _:b674348750 . _:b665459463 . _:b668379036 . _:b674016793 . _:b674348744 . _:b663276569 . _:b668378941 . _:b674016798 . _:b668378960 . _:b663276568 . _:b674348749 . _:b666092883 _:b666092882 . _:b674016799 . _:b668378940 . _:b663276567 . _:b674348748 . _:b674016796 . _:b674348747 . _:b663276566 . _:b674016403 . _:b668379024 . _:b665856991 "per discussion with Barry Smith" . _:b665857195 . _:b674016797 . _:b662810055 . _:b663276565 . _:b674016401 . _:b662810054 . _:b674016802 . _:b663276564 . _:b674016389 . _:b674016390 . _:b674016404 . _:b674016803 . _:b663276563 . _:b674016427 . _:b666092874 _:b666092875 . _:b665458960 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b666092881 _:b666092884 . _:b665856986 "per discussion with Barry Smith" . _:b674016800 . _:b663276562 . _:b674016406 . _:b674016801 . _:b663276561 . _:b663276227 . _:b666092890 _:b666092889 . _:b674016806 . _:b663276560 . _:b663276226 . _:b674016807 . _:b666092891 _:b666092890 . _:b674016804 . _:b674348739 . _:b678849582 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b674016304 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b674016805 . _:b666092927 _:b666092931 . _:b674016810 . _:b674348741 . _:b674016811 . _:b666092887 _:b666092888 . _:b665793519 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b674016808 . _:b674348737 . _:b674016809 . _:b674348736 . _:b665459559 . _:b674016814 . _:b674348823 . _:b666092880 _:b666092881 . _:b674348743 . _:b668379055 . _:b674348895 . _:b674348738 . _:b674016815 . _:b674348740 . _:b674348742 . _:b666092875 _:b666092878 . _:b674016812 . _:b674016813 . _:b674016849 . _:b674016423 . _:b674016818 . _:b665970838 . _:b674016819 . _:b674016408 . _:b674016816 . _:b665122358 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b674016817 . _:b674016822 . _:b674016424 . _:b663276261 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b674016823 . _:b665970837 . _:b674016425 . _:b665176420 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665970835 . _:b666092877 _:b666092876 . _:b674016407 . _:b674016422 . _:b674016820 . _:b674016426 . _:b666092878 _:b666092877 . _:b668379064 . _:b674348755 . _:b665176449 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b674348759 . _:b674016821 . _:b668379065 . _:b666092931 _:b666092930 . _:b674016826 . _:b668379066 . _:b666092931 _:b666092928 . _:b674016405 . _:b674016827 . _:b668379067 . _:b668379068 . _:b666092930 _:b666092929 . _:b674016824 . _:b665970840 . _:b665795244 . _:b668379069 . . _:b674016825 . _:b666093170 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b678849700 . _:b674348758 . _:b665795843 . _:b674016830 . _:b665970842 . _:b674348757 . _:b665795842 . _:b674016831 . _:b665459546 . _:b674348756 . _:b665795841 . _:b674016828 . _:b668379056 . _:b665459539 . _:b674016829 . _:b665795840 . _:b665459549 . _:b665793752 . _:b665970816 . _:b674348704 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665459536 . _:b665793483 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665970818 . _:b674348767 . _:b665459537 . _:b668379008 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665459550 . _:b668378964 . _:b665459545 . _:b665857583 . _:b674348766 . _:b665459538 . _:b674348760 . _:b665459540 . _:b665970830 . _:b665459541 . _:b665970825 . _:b674016431 . _:b668379087 . _:b665459528 . _:b668379000 . _:b665459529 . _:b665176375 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665970827 . _:b665459530 . _:b668378998 . _:b666093019 . _:b665459531 . _:b668378999 . _:b662809636 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b668378996 . _:b665970763 . _:b665459532 . _:b666092958 _:b666092963 . _:b665459533 . _:b668378997 . _:b668379001 . _:b668379007 . _:b665459534 . _:b665970765 . _:b668379006 . _:b665459535 . _:b668378995 . _:b665970764 . _:b665459520 . _:b665970767 . _:b668379002 . _:b665459521 . _:b665970766 . _:b666092933 . _:b665793832 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665459522 . _:b668378978 . _:b665459523 . _:b678849571 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665459524 . _:b665971203 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665459525 . _:b666092964 _:b666092967 . _:b666092971 _:b666092970 . _:b665459526 . _:b668378976 . _:b665459527 . _:b666092972 _:b666092971 . _:b666092973 _:b666092972 . _:b666092962 _:b666092959 . _:b665176798 . _:b666092975 _:b666092974 . _:b668378979 . _:b665795689 . _:b666092974 _:b666092973 . _:b666092961 _:b666092960 . _:b666092962 _:b666092961 . _:b666092963 _:b666092962 . _:b665121902 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b668378990 . _:b668379088 . _:b666092969 _:b666092977 . _:b666092967 _:b666092966 . _:b665970783 . _:b668378988 . _:b666092991 _:b666092993 . _:b666092991 _:b666092992 . _:b666092966 _:b666092965 . _:b668378989 . _:b665970769 . _:b665970768 . _:b665970771 . _:b666092978 _:b666092982 . _:b665970770 . _:b666092988 _:b666092989 . _:b665458997 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b666092984 _:b666092986 . _:b665970772 . _:b666092986 _:b666092987 . _:b666092984 _:b666092985 . _:b678849568 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b666092976 _:b666092975 . _:b666092982 _:b666092981 . _:b666092980 _:b666092979 . _:b666092981 _:b666092980 . _:b665459141 . _:b668378975 . _:b663276372 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b666092977 _:b666092976 . _:b678849768 . _:b666093015 _:b666093014 . _:b674016266 . _:b665970784 . _:b665857445 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b666093016 _:b666093019 . _:b666093078 . _:b666093013 _:b666093012 . _:b662809938 . _:b662809939 . _:b662809936 . _:b662809937 . _:b662809942 . _:b662809943 . _:b662809940 . _:b662809941 . _:b666093009 _:b666093010 . _:b662809946 . _:b662809947 . _:b662809944 . _:b674348494 . _:b662809945 . _:b662809950 . _:b662809951 . _:b666092953 . _:b662809948 . _:b662809949 . _:b662809922 . _:b662809923 . _:b662809920 . _:b662809921 . _:b662809926 . _:b662809927 . _:b662809924 . _:b662809925 . _:b666093023 _:b666093026 . _:b662809930 . _:b662809931 . _:b662809928 . _:b662809929 . _:b674016898 . _:b662809934 . _:b665459190 . _:b662809935 . _:b662809932 . _:b662809933 . _:b674016899 . _:b662809970 . _:b662809971 . . _:b666092711 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b662809968 . _:b662809969 . _:b674016896 . _:b662809974 . _:b662809975 . _:b665970812 . _:b662809972 . _:b662809973 . _:b674016897 . _:b662809978 . _:b662809979 . _:b678849559 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665970813 . _:b662809976 . _:b666093018 _:b666093017 . _:b662809977 . _:b674016902 . _:b662809982 . _:b662809983 . _:b665970814 . _:b662809980 . _:b662809981 . _:b674016903 . _:b662809954 . _:b665793854 . _:b662809955 . _:b666093019 _:b666093018 . _:b665970815 . _:b662809952 . _:b662809953 . _:b674016900 . _:b662809958 . _:b665793855 . _:b662809959 . _:b662809956 . _:b674348507 . _:b662809957 . _:b674016901 . _:b666092993 _:b666092994 . _:b662809962 . _:b665793852 . _:b665459199 . _:b662809963 . _:b665793846 . _:b662809960 . _:b662809961 . _:b674016906 . _:b668379062 . _:b662809966 . _:b665793853 . _:b662809967 . _:b662809964 . _:b662809965 . _:b674016907 . _:b662809874 . _:b665970803 . _:b665459197 . _:b662809875 . _:b666092995 _:b666092996 . _:b662809872 . _:b662809873 . _:b674016904 . _:b662809878 . _:b665793851 . _:b665970804 . _:b662809879 . _:b662809876 . _:b662809877 . _:b674016905 . _:b668379057 . _:b662809882 . _:b662809883 . _:b665793844 . _:b662809880 . _:b665459287 . _:b662809881 . _:b674016910 . _:b662809886 . _:b662809887 . _:b665793845 . _:b662809884 . _:b674348284 . _:b665857433 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665459286 . _:b662809885 . _:b674016911 . _:b668379059 . _:b666092998 _:b666093000 . _:b662809858 . _:b674016532 . _:b666092998 _:b666092999 . _:b662809859 . _:b662809856 . _:b674348496 . _:b674348285 . _:b665793920 . _:b662809857 . _:b674016908 . _:b668379068 . _:b662809862 . _:b662809863 . _:b662809860 . _:b674348286 . _:b665793921 . _:b662809861 . _:b674016909 . _:b662809866 . _:b662809867 . _:b662809864 . _:b674348287 . _:b665793922 . _:b662809865 . _:b674016914 . _:b668379070 . _:b662809870 . _:b666093002 _:b666093003 . _:b662809871 . _:b666093007 _:b666093008 . _:b665857431 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b662809868 . _:b674348501 . _:b674348280 . _:b665793923 . _:b662809869 . _:b674016915 . _:b665793924 . _:b662809906 . _:b662809907 . _:b662809904 . _:b674348500 . _:b674348281 . _:b666093000 _:b666093001 . _:b662809905 . _:b674016912 . _:b665793925 . _:b662809910 . _:b665459172 . _:b662809911 . _:b662809908 . _:b666093005 _:b666093007 . _:b662809909 . _:b674016913 . _:b662809914 . "Ron Rudnicki"@en . _:b662809915 . _:b662809912 . _:b674348283 . _:b662809913 . _:b674016918 . _:b662809918 . _:b662809919 . _:b662809916 . _:b662809917 . _:b674348654 . _:b674016919 . _:b662809890 . _:b665459177 . _:b662809891 . _:b665971071 . _:b662809888 . _:b662809889 . _:b674348605 . _:b674016916 . _:b668379044 . _:b668379042 . _:b666093005 _:b666093006 . _:b662809894 . _:b663276560 . _:b662809895 . _:b662809892 . _:b662809893 . _:b674016917 . _:b668379101 . _:b666093053 _:b666093052 . _:b662809898 . _:b663276567 . _:b662809899 . _:b674348670 . _:b662809896 . _:b662809897 . _:b674016922 . _:b668379046 . _:b665176933 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b662809902 . _:b662809903 . _:b675160665 . _:b665793944 . _:b662809900 . _:b662809901 . _:b674348658 . _:b674016923 . _:b662810066 . _:b666093034 _:b666093035 . _:b665459181 . _:b663276565 . _:b662810067 . _:b662810064 . _:b665459289 . _:b662810065 . _:b674016920 . _:b662810070 . _:b666093052 _:b666093051 . _:b666093040 _:b666093043 . _:b662810071 . _:b665793831 . _:b662810068 . _:b665459288 . _:b662810069 . _:b674016921 . _:b662810074 . _:b662810075 . _:b662810072 . _:b662810073 . _:b674016926 . _:b662810078 . _:b662810079 . _:b662810076 . _:b662810077 . _:b674016927 . _:b662810050 . _:b666093044 _:b666093047 . _:b662810051 . _:b665793834 . _:b662810048 . _:b662810049 . _:b674016924 . _:b668379050 . _:b662810054 . _:b665459088 . _:b662810055 . _:b666093047 _:b666093046 . _:b662810052 . _:b662810053 . _:b674016925 . _:b668379053 . _:b668379051 . _:b662810058 . _:b662810059 . _:b674348665 . _:b662810056 . _:b662810057 . _:b674348668 . _:b674016930 . _:b665459316 . _:b662810062 . _:b665459094 . _:b663276574 . _:b662810063 . _:b665970837 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b662810060 . _:b666093050 _:b666093053 . _:b666093046 _:b666093045 . _:b662810061 . _:b674016931 . _:b668379055 . _:b665459317 . _:b662810098 . _:b662810099 . _:b674348667 . _:b665793832 . _:b665793943 . _:b662810096 . _:b662810097 . _:b674016928 . _:b668379048 . _:b662810102 . _:b663276572 . _:b662810103 . _:b662810100 . _:b662810101 . _:b674016929 . _:b662810106 . _:b662810107 . _:b666093043 _:b666093042 . _:b662810104 . _:b674348664 . _:b662810105 . _:b674016934 . _:b662810110 . _:b662810111 . _:b665793835 . _:b662810108 . _:b662810109 . _:b674016935 . _:b662810082 . _:b662810083 . _:b662810080 . _:b666093042 _:b666093041 . _:b662810081 . _:b674348666 . _:b674016932 . _:b662810086 . _:b663276544 . _:b662810087 . _:b662810084 . _:b674348539 . _:b662810085 . _:b674016933 . _:b674016547 . _:b662810090 . _:b663276551 . _:b662810091 . _:b674348669 . _:b674016549 . _:b662810088 . _:b662810089 . _:b674016938 . _:b662810094 . _:b662810095 . _:b662810092 . _:b662810093 . _:b674016939 . _:b668379031 . "Adam Goldstein"@en . _:b662810002 . _:b674016543 . _:b665459101 . _:b662810003 . _:b662810000 . _:b674348671 . _:b662810001 . _:b674016936 . _:b662810006 . _:b666093035 _:b666093037 . _:b662810007 . _:b662810004 . _:b662810005 . _:b674016937 . _:b666093037 _:b666093036 . _:b662810010 . _:b662810011 . _:b662810008 . _:b665459319 . _:b662810009 . _:b674016942 . _:b666093038 _:b666093034 . _:b666093049 _:b666093050 . _:b666093027 _:b666093030 . _:b662810014 . _:b674016545 . _:b662810015 . _:b666093039 _:b666093038 . _:b662810012 . _:b665459318 . _:b662810013 . _:b674016943 . _:b668379027 . _:b662809986 . _:b663276553 . _:b662809987 . _:b665856914 . _:b662809984 . _:b665459317 . _:b662809985 . _:b674016940 . _:b662809990 . _:b674348660 . _:b662809991 . _:b666093025 _:b666093024 . _:b662809988 . _:b662809989 . _:b674016941 . _:b674016546 . _:b668379037 . _:b662809994 . _:b666093026 _:b666093025 . _:b662809995 . _:b662809992 . _:b674348663 . _:b674348662 . _:b674016551 . _:b665459315 . _:b662809993 . _:b674016946 . _:b662809998 . _:b663276558 . _:b662809999 . _:b662809996 . _:b674016548 . _:b665459314 . _:b662809997 . _:b674016947 . _:b662810034 . _:b662810035 . _:b662810032 . _:b665459313 . _:b662810033 . _:b674016944 . _:b662810038 . _:b674348656 . _:b662810039 . _:b662810036 . _:b662810037 . _:b674348657 . _:b674016945 . _:b662810042 . _:b665122487 . _:b662810043 . _:b665793797 . _:b666093029 _:b666093028 . _:b662810040 . _:b662810041 . _:b674016950 . _:b662810046 . _:b666093033 _:b666093039 . _:b666093030 _:b666093029 . _:b662810047 . _:b674016552 . _:b665793796 . _:b662810044 . _:b674348659 . _:b662810045 . _:b674016951 . _:b668379035 . _:b662810018 . _:b674016553 . _:b662810019 . _:b662810016 . _:b674348245 . _:b662810017 . _:b674016948 . _:b674016554 . _:b662810022 . _:b662810023 . _:b665793411 . _:b662810020 . _:b674348653 . _:b674348246 . _:b666092668 _:b666092667 . _:b666092658 _:b666092661 . _:b662810021 . _:b674016949 . _:b668379013 . _:b662810026 . _:b662810027 . _:b662810024 . _:b662810025 . _:b662810030 . _:b662810031 . _:b662810028 . _:b666092669 _:b666092665 . _:b665459322 . _:b662810029 . _:b674348655 . _:b668379135 . _:b662809682 . _:b662809683 . _:b665793408 . _:b662809680 . _:b674348335 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665459321 . _:b662809681 . _:b674348652 . _:b674016952 . _:b668379134 . _:b662809735 . _:b666092672 . _:b662809686 . _:b666092670 _:b666092669 . _:b662809687 . _:b662809684 . _:b674348477 . _:b665459320 . _:b662809685 . _:b662809690 . _:b662809691 . _:b662809688 . _:b665459303 . _:b662809689 . _:b662809694 . _:b674348649 . _:b662809695 . _:b662809692 . _:b665459302 . _:b662809693 . _:b662809738 . _:b666092666 _:b666092668 . _:b662809666 . _:b662809667 . _:b674348650 . _:b662809664 . _:b665793797 . . _:b665459301 . _:b662809665 . _:b668379020 . _:b662809670 . _:b665459120 . _:b662809671 . _:b662810005 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665793796 . _:b662809668 . _:b662809669 . _:b662809736 . _:b666092664 _:b666092670 . _:b662809674 . _:b662809675 . _:b662809672 . _:b662809673 . _:b662809737 . _:b662809678 . _:b666092660 _:b666092659 . _:b662809679 . _:b662809676 . _:b662809677 . _:b666092661 _:b666092660 . _:b662809714 . _:b666092656 _:b666092655 . _:b662809715 . _:b662809712 . _:b665459297 . _:b662809713 . _:b662809718 . _:b662809719 . _:b662809716 . _:b674348469 . _:b665459296 . _:b662809717 . _:b662809722 . _:b662809723 . _:b662809720 . _:b662809721 . _:b662809726 . _:b662809727 . _:b662809724 . _:b662809725 . _:b662809698 . _:b662809699 . _:b665793906 . _:b662809696 . _:b662809697 . _:b666092657 _:b666092656 . _:b662809702 . _:b662809703 . _:b665793907 . _:b665793909 . _:b662809700 . _:b665459308 . _:b662809701 . _:b662809706 . _:b663277723 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b662809707 . _:b662809704 . _:b665459307 . _:b662809705 . _:b662809710 . _:b662809711 . _:b665793911 . _:b666092649 _:b666092648 . _:b662809708 . _:b662809709 . _:b666092647 _:b666092650 . _:b662809618 . _:b666092650 _:b666092649 . _:b662809619 . _:b665793904 . _:b662809616 . _:b662809617 . _:b662809622 . _:b665176409 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b662809623 . _:b662809620 . _:b662809621 . _:b662809626 . _:b662809627 . _:b662809624 . _:b662809625 . _:b668379104 . _:b666092665 _:b666092666 . _:b662809630 . _:b674348546 . _:b662809631 . _:b662809628 . _:b674348348 . _:b662809629 . _:b674348259 . _:b662809602 . _:b662809603 . _:b662809600 . _:b674348349 . _:b662809601 . _:b662809606 . _:b662809607 . _:b662809604 . _:b674348350 . _:b662809605 . _:b662809610 . _:b665122451 . _:b662809611 . _:b665793918 . _:b663276284 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b662809608 . _:b674348351 . _:b662809609 . _:b662809614 . _:b662809615 . _:b662809612 . _:b674348344 . _:b662809613 . _:b662809650 . _:b665459109 . _:b662809651 . _:b662809648 . _:b674348345 . _:b662809649 . _:b662809654 . _:b662809655 . _:b665793913 . _:b662809652 . _:b674348346 . _:b662809653 . _:b662809658 . _:b665459115 . _:b662809659 . _:b662809656 . _:b674348347 . _:b666092654 _:b666092657 . _:b662809657 . _:b662809662 . _:b666092646 _:b666092645 . _:b662809663 . _:b665793915 . _:b662809660 . _:b674348340 . _:b666092644 _:b666092643 . _:b662809661 . _:b662809634 . _:b662809635 . _:b662809632 . _:b674348341 . _:b662809633 . _:b662809638 . _:b662809639 . _:b665793893 . _:b662809636 . _:b674348342 . _:b662809637 . _:b662809642 . _:b662809643 . _:b668716360 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b662809640 . _:b674348343 . _:b662809641 . _:b662809646 . _:b675160939 . _:b662809647 . _:b662809644 . _:b674348336 . _:b662809645 . _:b662809810 . _:b662809811 . _:b662809808 . _:b674348337 . _:b662809809 . _:b662809814 . _:b665857571 . _:b662809815 . _:b662809812 . _:b674348338 . _:b662809813 . _:b674348277 . _:b662809818 . _:b662809819 . _:b662809816 . _:b674348339 . _:b662809817 . _:b662809822 . _:b662809823 . _:b665793891 . _:b662809820 . _:b674348332 . _:b665459257 . _:b662809821 . _:b662809794 . _:b675160932 . _:b662809795 . _:b665793898 . _:b665793900 . _:b662809792 . _:b674348333 . _:b662809793 . _:b662809798 . _:b662809799 . _:b662809796 . _:b674348334 . _:b662809797 . _:b674348273 . _:b665794000 . _:b662809802 . _:b662809803 . _:b665793902 . _:b662809800 . _:b674348335 . _:b665459260 . _:b662809801 . _:b665459252 . _:b662809806 . _:b662809807 . _:b662809804 . _:b674348328 . _:b665793540 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665459261 . _:b662809805 . _:b662809842 . _:b662809843 . _:b675160775 . _:b662809840 . _:b674348329 . _:b665176887 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b662809841 . _:b662809846 . _:b665122436 . _:b662809847 . _:b662809844 . _:b674348330 . _:b665459263 . _:b662809845 . _:b662809850 . _:b662809851 . _:b668716733 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b662809848 . _:b674348331 . _:b662809849 . _:b665459256 . _:b662809854 . _:b665122438 . _:b662809855 . _:b662809852 . _:b674348324 . _:b662809853 . _:b662809826 . _:b662809827 . _:b665793876 . _:b662809824 . _:b674348325 . _:b662809825 . _:b668379092 . _:b662809830 . _:b662809831 . _:b675160780 . _:b662809828 . _:b675160760 . _:b674348326 . _:b662809829 . _:b666092671 _:b666092674 . _:b662809834 . _:b662809835 . _:b675160781 . _:b662809832 . _:b675160761 . _:b674348327 . _:b662809833 . _:b668379094 . _:b662809838 . _:b662809839 . _:b662809836 . _:b674348320 . _:b665459253 . _:b662809837 . _:b668379089 . _:b662809746 . _:b662809747 . _:b662809744 . _:b674348321 . _:b662809745 . _:b665459262 . _:b662809750 . _:b665122444 . _:b662809751 . _:b675160776 . _:b662809748 . _:b674348322 . _:b662809749 . _:b662809754 . _:b662809755 . _:b675160777 . _:b662809752 . _:b675160765 . _:b674348323 . _:b662809753 . _:b668379090 . _:b662809758 . _:b662809759 . _:b675160778 . _:b662809756 . _:b675160766 . _:b674348316 . _:b662809757 . _:b662809730 . _:b662809731 . _:b675160779 . _:b662809728 . _:b674348317 . _:b662809729 . _:b666092801 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b662809734 . _:b662809735 . _:b662809732 . _:b674348318 . _:b662809733 . _:b665459235 . _:b662809738 . _:b662809739 . _:b662809736 . _:b674348319 . _:b662809737 . _:b665795274 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665459236 . _:b662809742 . _:b666093146 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b662809743 . _:b665793887 . _:b662809740 . _:b674348312 . _:b662809741 . _:b662809778 . _:b662809779 . _:b674016759 . _:b662809776 . _:b674348313 . _:b665459246 . _:b662809777 . _:b662809782 . _:b662809783 . _:b662809780 . _:b674348314 . _:b662809781 . _:b665459239 . _:b662809786 . _:b662809787 . _:b674016758 . _:b662809784 . _:b674348315 . _:b662809785 . _:b665459240 . _:b662809790 . _:b662809791 . _:b665793883 . _:b662809788 . _:b674348308 . _:b662809789 . _:b662809762 . _:b662809763 . _:b662809760 . _:b674348309 . _:b662809761 . _:b662809766 . _:b662809767 . _:b662809764 . _:b674348310 . _:b662809765 . _:b662809770 . _:b662809771 . _:b662809768 . _:b674348311 . _:b662809769 . _:b662809774 . _:b662809775 . _:b665793857 . _:b665793863 . _:b662809772 . _:b674348304 . _:b662809773 . _:b668379079 . _:b665459245 . _:b665793862 . _:b674348305 . _:b674348306 . _:b665459247 . _:b665793858 . _:b674348307 . _:b675160749 . _:b674348300 . _:b675160750 . _:b668379077 . _:b674348301 . _:b675160751 . _:b665793869 . _:b674348302 . _:b674348303 . _:b674348296 . _:b668379087 . _:b668379186 . _:b665971196 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b675160333 . _:b674348297 . _:b674348298 . _:b665793856 . _:b675160926 . _:b674348299 . _:b668379082 . _:b665122272 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665459394 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b674016635 . _:b674348293 . _:b674348248 . _:b665857076 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b675160751 . _:b674348294 . _:b668378677 . . _:b662810312 . _:b668716749 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . . _:b675160750 . _:b674348295 . _:b665459228 . _:b662809740 . _:b674348288 . _:b675160749 . _:b668378673 . _:b665459229 . _:b668378679 . _:b662809739 . _:b674348289 . _:b675160748 . _:b662809739 . _:b674348290 . _:b675160747 . . _:b674348291 . . _:b668378675 . _:b668378682 . _:b668378684 . _:b662809735 . _:b668378686 . _:b668378681 . _:b662809730 . "Michel Dumontier"@en . _:b675160755 . _:b675160754 . _:b675160753 . _:b675160752 . _:b665122523 . _:b668378662 . _:b665795260 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b668378658 . _:b674348396 . _:b662809734 . _:b675160337 . _:b674348397 . _:b668378668 . _:b665459396 . _:b674348398 . _:b674348399 . _:b662809733 . _:b665459394 . _:b674348392 . _:b674348393 . _:b674348394 . _:b674348395 . _:b668378666 . . _:b674348388 . _:b675161034 . _:b674348389 . _:b668378644 . _:b674348390 . _:b674348391 . _:b666092818 . _:b665793943 . _:b674348384 . _:b666092817 . _:b674348385 . _:b674348386 . _:b665793938 . _:b674348387 . _:b674348380 . _:b662809708 . _:b665793948 . _:b674348381 . _:b675160606 . _:b665459343 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b674348382 . _:b665793950 . _:b674348383 . _:b675160801 . _:b665459019 . _:b665459018 . _:b665793945 . _:b674348376 . _:b665459018 . _:b662809704 . _:b674348377 . _:b662809705 . _:b674348378 . _:b662809706 . _:b665793946 . _:b665458965 . _:b674348379 . _:b665459014 . _:b674348793 . _:b662809707 . . _:b674348372 . _:b665458964 . _:b668378651 . _:b665793924 . _:b665458967 . _:b675160807 . _:b674348373 . _:b665459396 . _:b674348374 . _:b665458966 . _:b665458981 . _:b665793926 . _:b665459395 . _:b674348375 . _:b674348368 . _:b662810194 . _:b674348772 . _:b662810195 . _:b662810192 . _:b674348369 . _:b662810193 . _:b662810198 . _:b662810199 . _:b665458982 . _:b662810196 . _:b674348370 . _:b662810197 . _:b662810202 . _:b665459009 . _:b662810203 . _:b662810200 . _:b674348371 . _:b665857064 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b662810201 . _:b662810206 . _:b662810207 . _:b662810204 . _:b674348364 . _:b662810205 . _:b662810178 . _:b662810179 . _:b662809718 . _:b662810176 . _:b674348365 . _:b665459290 . _:b668378630 . _:b662810177 . _:b662810182 . _:b662810183 . _:b662810180 . _:b674348366 . _:b668378631 . _:b662810181 . _:b666092859 . _:b662810186 . _:b662810187 . _:b668378841 . _:b662810184 . _:b674348367 . _:b668378628 . _:b662810185 . _:b668378638 . _:b668378632 . _:b662810190 . _:b662810191 . _:b665793935 . _:b662810188 . _:b674348360 . _:b668378629 . _:b662810189 . _:b662810226 . _:b662810227 . _:b662809714 . _:b662810224 . _:b674348361 . _:b668378626 . _:b662810225 . _:b662810230 . _:b662810231 . _:b662810228 . _:b674348362 . _:b668378627 . _:b662810229 . _:b668378633 . _:b662810234 . _:b662810235 . _:b662810232 . _:b674348363 . _:b665459280 . _:b662810233 . _:b662810238 . _:b662810239 . _:b665793933 . _:b662810236 . _:b675160790 . _:b674348356 . _:b662810237 . _:b662809714 . _:b668378637 . _:b666092867 . _:b662810210 . _:b662810211 . _:b662810208 . _:b675160791 . _:b674348357 . _:b662810209 . _:b662809715 . _:b665459012 . _:b662810214 . _:b662810215 . _:b662809679 . _:b662810212 . _:b675160792 . _:b674348358 . _:b662810213 . _:b665459013 . _:b662810218 . _:b662810219 . _:b662810216 . _:b675160793 . _:b674348359 . _:b662810217 . _:b668378732 . _:b662810222 . _:b662810223 . _:b662810220 . _:b674348352 . _:b662810221 . _:b668378735 . _:b662810130 . _:b662810131 . _:b662810128 . _:b674348353 . _:b662810129 . _:b662810134 . _:b662810135 . _:b662810132 . _:b674348354 . _:b662810133 . _:b665793871 . _:b662810138 . _:b662810139 . _:b662810136 . _:b675160797 . _:b674348355 . _:b662810137 . _:b662810142 . _:b662810143 . _:b662810140 . _:b665459350 . _:b662810141 . _:b665176929 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b662810114 . _:b662810115 . _:b662810112 . _:b662810113 . _:b665459266 . _:b662810118 . _:b662810119 . _:b662810116 . _:b665459275 . _:b665459348 . _:b662810117 . _:b662810122 . _:b665458983 . _:b662810123 . _:b662809700 . _:b662810120 . _:b662810121 . _:b665459268 . _:b662810126 . _:b662810127 . _:b662809701 . _:b662810124 . _:b665459346 . _:b662810125 . _:b662810162 . _:b662810163 . _:b662810160 . _:b662810161 . _:b665459337 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b662810166 . _:b662810167 . _:b662810164 . _:b675160772 . . _:b662810165 . _:b662810170 . _:b662810171 . _:b662810168 . _:b665459359 . _:b663277880 . _:b662810169 . _:b668378776 . _:b662810174 . _:b662809706 . _:b662810175 . _:b662810172 . _:b663277881 . _:b662810173 . _:b662810146 . _:b662810147 . _:b662810144 . _:b665459357 . _:b663277882 . _:b662810145 . _:b665793880 . _:b665459274 . _:b662810150 . _:b675160390 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b662810151 . _:b662809695 . _:b662810148 . _:b665459267 . _:b663277883 . _:b662810149 . _:b668378725 . _:b662810154 . _:b662810155 . _:b662810152 . _:b675160777 . _:b663277884 . _:b662810153 . _:b668378780 . _:b668378720 . _:b662810158 . _:b665458984 . _:b662810159 . _:b662810156 . _:b675160778 . _:b663277885 . _:b662810157 . _:b665458985 . _:b663277886 . _:b665458986 . _:b663277887 . _:b665459271 . _:b665459352 . . _:b668378721 . _:b665458987 . _:b665458899 . _:b663277872 . _:b663277873 . _:b665793873 . _:b668378771 . _:b668378723 . _:b662810306 . _:b662810307 . _:b662810304 . _:b665459333 . _:b662810305 . _:b665793872 . _:b662810310 . _:b666092837 . _:b662810311 . _:b662810308 . _:b665459332 . _:b662810309 . _:b668378773 . _:b665793875 . _:b662810312 . _:b665459014 . _:b663277876 . _:b665793874 . _:b665458902 . _:b663277877 . _:b665459015 . _:b665793877 . _:b668378775 . _:b663277878 . _:b665459329 . _:b665793876 . _:b668378774 . _:b663277879 . _:b665793879 . _:b663277864 . _:b665459343 . _:b665793878 . _:b665971125 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665458906 . _:b663277865 . _:b665459342 . _:b663277866 . _:b662809648 . _:b665459016 . _:b674348440 . _:b663277867 . _:b675160859 . _:b665459017 . _:b668378765 . _:b665458997 . _:b663277868 . _:b675160858 . _:b665459339 . _:b668378710 . _:b663277869 . _:b662810258 . _:b662810259 . _:b662810256 . _:b665459337 . _:b663277870 . _:b662810257 . _:b668378766 . _:b662810262 . _:b662810263 . _:b662810260 . _:b665459336 . _:b662810261 . _:b662810266 . _:b665458993 . _:b662810267 . _:b662810264 . _:b665459383 . _:b665458994 . _:b663277856 . _:b662810265 . _:b668378708 . _:b665793631 . _:b662810270 . _:b665458958 . _:b662810271 . _:b662810268 . _:b663277857 . _:b662810269 . _:b662810242 . _:b665459391 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b662810243 . _:b662810240 . _:b675160860 . _:b665459381 . _:b663277858 . _:b662810241 . _:b678849996 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b662810246 . _:b665458880 . _:b662810247 . _:b662810244 . _:b665458993 . _:b663277859 . _:b662810245 . _:b662810250 . _:b665793891 . _:b662810251 . _:b662810248 . _:b663277860 . _:b662810249 . _:b668378718 . _:b662810254 . _:b662810255 . _:b668378937 . _:b662810252 . _:b665459378 . _:b663277861 . _:b662810253 . _:b662810290 . _:b662810291 . _:b662810288 . _:b665459377 . _:b663277862 . _:b662810289 . _:b662810294 . _:b665793892 . _:b665458884 . _:b662810295 . _:b662810292 . _:b665459376 . _:b663277863 . _:b662810293 . _:b668378713 . _:b663277871 . _:b662810298 . _:b662810299 . _:b662810296 . _:b665459391 . _:b662810297 . _:b662810302 . _:b662810303 . _:b668378933 . _:b662810300 . _:b662810301 . _:b663277841 . _:b662810274 . _:b662810275 . _:b665793912 . _:b662810272 . _:b665459389 . _:b662810273 . _:b662810278 . _:b665458888 . _:b665458980 . _:b662810279 . _:b668716380 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b666092673 _:b666092672 . _:b662810276 . _:b663277851 . _:b662810277 . _:b662810295 . _:b668378693 . _:b662810282 . _:b666092674 _:b666092673 . _:b662810283 . _:b662810280 . _:b665459387 . _:b663277852 . _:b662810281 . _:b665458985 . _:b662810286 . _:b665458894 . _:b662810287 . _:b662810284 . _:b665459386 . _:b662810285 . _:b663277845 . _:b665458979 . _:b665176451 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b668378688 . _:b666092865 . _:b663277855 . . _:b666092681 _:b666092684 . _:b666092677 _:b666092676 . _:b663277840 . _:b668378690 . _:b665458974 . _:b666092678 _:b666092677 . _:b665459366 . _:b674348408 "1"^^ . _:b666092685 _:b666092692 . _:b663277850 . _:b665459364 . _:b662809643 . _:b668378701 . _:b666092683 _:b666092682 . _:b666092687 _:b666092689 . _:b662810302 . _:b665121903 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b662809642 . _:b674016325 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b662809645 . _:b663277846 . _:b662809644 . _:b665459361 . _:b665793581 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b663277847 . _:b662809647 . _:b666092684 _:b666092683 . _:b662809646 . _:b666092675 _:b666092678 . _:b662809649 . _:b665793911 . _:b663277833 . _:b668378699 . _:b663277825 . _:b665459372 . _:b663277836 . _:b674348407 "1"^^ . _:b663277837 . _:b666092692 _:b666092691 . _:b665459370 . _:b666093041 . _:b663277838 . _:b665459369 . _:b666092695 _:b666092694 . _:b662809688 . _:b663277839 . _:b668716418 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b675160845 . _:b663277824 . _:b663277832 . _:b675160846 . _:b666092691 _:b666092690 . _:b662809685 . _:b666092692 _:b666092686 . _:b675160847 . _:b663277826 . _:b666092689 _:b666092688 . _:b666093303 . _:b666092680 _:b666092681 . _:b662809687 . _:b662809686 . _:b663277829 . _:b675160834 . _:b663277830 . _:b665793909 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b666092693 _:b666092696 . _:b665459024 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b662809703 . _:b663277831 . _:b662809702 . _:b668378649 . _:b666092696 _:b666092695 . _:b666092686 _:b666092687 . _:b668378648 . _:b675160840 . _:b668378651 . _:b665793574 . _:b675160841 . _:b665970839 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b668378650 . _:b674348269 . _:b668378653 . _:b668378652 . _:b665793569 . _:b662809719 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b668378655 . _:b665459448 . _:b674348526 . _:b668378654 . _:b665459449 . _:b665459450 . _:b665793581 . _:b665459451 . . _:b665793576 . _:b665459452 . . . . _:b665459453 . . _:b665459454 . _:b665793577 . _:b668716437 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665459455 . _:b668378647 . _:b665458921 . _:b665459440 . _:b662810309 . _:b668378646 . _:b665793579 . _:b662809687 . _:b665458923 . _:b665458922 . _:b665793557 . _:b665459443 . _:b662809599 . _:b665458925 . _:b668378667 . _:b665459444 . _:b662809684 . _:b665458924 . _:b668378666 . _:b665459445 . _:b663277922 . _:b662809683 . _:b665458927 . _:b665795613 . _:b665459446 . _:b668378827 . _:b665458928 . _:b665458926 . _:b665459447 . _:b668378826 . _:b662809680 . _:b665970827 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665793555 . _:b665459425 . _:b662809694 . _:b665122318 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b662809693 . _:b665857362 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665793566 . _:b665459437 . _:b665459438 . _:b665459430 . _:b662809690 . _:b665793564 . _:b663277912 . _:b662809688 . _:b662809671 . _:b668378820 . _:b665793540 . _:b665793538 . _:b665459426 . _:b662809670 . _:b665459427 . _:b662809669 . _:b668378822 . _:b665793542 . _:b663277908 . _:b662809668 . _:b665793537 . _:b668379079 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b662809666 . _:b665459439 . _:b662809665 . _:b665458867 . _:b674016276 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665177121 . _:b663277904 . _:b668378686 . _:b662809664 . _:b665459408 . _:b678849641 "requested by Melanie Courtot" . _:b668378687 . _:b666092650 . _:b665459418 . _:b665971204 . _:b665793549 . _:b665459419 . _:b665458871 . _:b668378833 . _:b674016322 . _:b663277909 . _:b665459421 . _:b674016323 . _:b665971207 . _:b665793544 . _:b665459422 . _:b663277913 . _:b674016320 . _:b665971206 . _:b662809673 . _:b674016321 . _:b665793546 . _:b663277896 . _:b662809672 . _:b674016326 . _:b665177128 . _:b663277897 . _:b674016327 . _:b663277898 . _:b668378858 . _:b674016324 . _:b668378696 . _:b663277899 . _:b662809717 . _:b674016325 . _:b668378697 . _:b668716383 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b663277900 . _:b665459420 . _:b674016330 . _:b665458967 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b668378698 . _:b662809667 . _:b665458878 . _:b668378699 . _:b663277901 . _:b662809715 . _:b674016331 . _:b662809668 . _:b668378700 . _:b674016328 . _:b663277903 . _:b674016329 . _:b665971209 . _:b663277888 . _:b678849979 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b662809712 . _:b674016334 . _:b665793557 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b663277889 . _:b665459401 . _:b662809727 . _:b674016335 . _:b668378851 . _:b665971211 . _:b665177107 . _:b663277890 . _:b674016332 . _:b663277891 . _:b674016333 . _:b663277892 . _:b665459404 . _:b674016338 . _:b665458854 . _:b663277893 . _:b665459405 . _:b662809723 . _:b674016339 . _:b663277894 . _:b665459406 . _:b663277902 . _:b674016336 . _:b663277895 . _:b665459407 . _:b662809721 . _:b674016337 . _:b666093321 . _:b668378639 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665459400 . _:b674016342 . _:b662809720 . _:b662809703 . _:b674016343 . _:b668378695 . _:b674016340 . _:b665458856 . _:b665177114 . _:b662809701 . _:b674016341 . _:b674016346 . _:b668378859 . _:b662809699 . _:b674016347 . _:b665459398 . _:b666092960 . _:b674016344 . _:b668378719 . _:b665458860 . _:b665459399 . _:b678849610 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b662809697 . _:b678849627 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b674016345 . _:b668378718 . _:b674016350 . _:b674016351 . _:b662809710 . _:b674016348 . _:b674016349 . _:b662809708 . _:b674016354 . _:b668378865 . _:b674016355 . _:b674016352 . _:b674016353 . _:b674016358 . _:b674016359 . _:b663277642 . _:b674016356 . _:b674016357 . _:b665795273 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b674016362 . _:b663277641 . _:b674016363 . _:b674016360 . _:b674348863 . _:b674016361 . _:b663276346 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b674016366 . _:b665857187 . _:b674016367 . _:b666093322 . _:b674016364 . _:b674016365 . _:b665857184 . _:b674016370 . _:b674016371 . _:b674016368 . _:b674016369 . _:b674016374 . _:b674016375 . _:b674016372 . _:b674016373 . _:b674016378 . _:b662809706 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b674016379 . _:b674348876 . _:b674016376 . _:b674016377 . _:b674016382 . _:b674348865 . _:b674016383 . _:b674016380 . _:b674016381 . _:b674016258 . _:b674348869 . _:b674016259 . _:b674016256 . _:b665459304 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b674016257 . _:b674348870 . _:b674016262 . _:b674016263 . _:b662809654 . _:b674016260 . _:b662809653 . _:b674016261 . _:b665122206 "2024-09-10T22:08:00.401821"^^ . _:b662809652 . _:b674016266 . _:b674016267 . . _:b674016264 . _:b674016265 . _:b665176465 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b674016270 . _:b662809648 . _:b665793551 . _:b674348668 . _:b674016271 . _:b668716751 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665793927 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b674348669 . _:b674016268 . _:b665857209 . _:b674348670 . _:b674016269 . _:b674348671 . _:b674016274 . _:b674348664 . _:b662809659 . _:b674016275 . _:b674348665 . _:b662809658 . _:b674016272 . _:b674348666 . _:b674016273 . _:b665793542 . _:b674348667 . _:b674016278 . _:b662810123 . _:b665793543 . _:b674348660 . _:b662809639 . _:b674016279 . _:b665857178 . _:b674016276 . _:b662809638 . _:b674348662 . _:b662809637 . _:b674016277 . _:b674348663 . _:b674016282 . _:b674348656 . _:b674016283 . _:b674348657 . _:b674348908 . _:b668378920 . _:b674016280 . _:b674348658 . _:b665857181 . _:b674016281 . _:b674348659 . _:b674016286 . _:b665971205 . _:b674348652 . _:b665795379 . _:b674016287 . _:b662809647 . _:b665971204 . _:b665793552 . _:b674348653 . _:b674016284 . _:b665793553 . _:b674348654 . _:b674016285 . _:b665793554 . _:b674348655 . _:b665795382 . _:b674016290 . _:b665793555 . _:b665857577 . _:b674016291 . _:b665793556 . _:b662809586 . _:b662809587 . _:b662809584 . _:b674348649 . _:b662809585 . _:b674016288 . _:b662809590 . _:b662809591 . _:b662809588 . _:b674348650 . _:b662809589 . _:b674016289 . _:b662809594 . _:b662809595 . _:b662809592 . _:b662809593 . _:b674348285 . _:b674016294 . _:b662809640 . _:b662809598 . _:b662809599 . _:b662809596 . _:b662809597 . _:b674016295 . _:b665121989 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b674016292 . _:b662809575 . _:b674016293 . _:b662809578 . _:b662809579 . _:b668378710 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b662809576 . _:b674348284 . _:b662809577 . _:b674016298 . _:b662809582 . _:b662809583 . _:b662809580 . _:b662809581 . _:b674016299 . _:b674348287 . _:b674016296 . _:b674348286 . _:b674016645 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b674348281 . _:b665795389 . _:b674348283 . _:b674016297 . _:b674016302 . _:b674016303 . _:b674348280 . _:b674016300 . _:b665176863 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b674016301 . _:b674016306 . _:b674016307 . _:b665793575 . _:b674016304 . _:b665857087 . _:b665793574 . _:b674016305 . _:b674016310 . _:b674016311 . _:b674016308 . _:b674016309 . _:b665793707 . _:b674016314 . _:b674016315 . _:b674016312 . _:b674348475 "1"^^ . _:b674016313 . _:b665793926 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665857339 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b674016318 . _:b674016319 . _:b674016316 . _:b662810144 . _:b674016317 . _:b674016450 . _:b674348477 "1"^^ . _:b665793714 . _:b674016451 . _:b674348476 "1"^^ . _:b674016448 . _:b674016449 . _:b662810149 . _:b674016454 . _:b663276375 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b674016455 . _:b674016452 . _:b674348614 . _:b674016453 . _:b674348615 . _:b674016458 . _:b674348469 "1"^^ . _:b674016459 . _:b674348468 "1"^^ . _:b674016456 . _:b674016457 . _:b678850010 "requested by Melanie Courtot" . _:b674016462 . _:b674348732 . _:b674016463 . _:b674348456 "1"^^ . _:b674348733 . _:b674016460 . _:b674348734 . _:b674016461 . _:b674348462 "1"^^ . _:b674348735 . _:b674016466 . _:b674348728 . _:b674016467 . _:b674348729 . _:b674016464 . _:b674348730 . _:b674016465 . _:b663277681 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b663277624 . _:b674348731 . _:b674016470 . _:b674348724 . _:b674016471 . _:b663277626 . _:b674348725 . _:b674016468 . _:b675160557 . _:b674348726 . _:b663277619 . _:b674016469 . _:b674348727 . _:b674016474 . _:b674348720 . _:b674016475 . _:b663277630 . _:b674348721 . _:b665795405 . _:b674016472 . _:b674348722 . _:b675160651 . _:b674016473 . _:b663277616 . _:b675160649 . _:b674348723 . _:b674016478 . _:b674348716 . _:b678850094 . _:b663277625 . _:b674016479 . _:b675160652 . _:b674348717 . _:b674016476 . _:b674348718 . _:b674016477 . _:b675160654 . _:b666092934 . _:b663277620 . _:b674348719 . _:b674016482 . _:b674348712 . _:b663277629 . _:b674016483 . _:b674348713 . _:b674016480 . _:b675160657 . _:b663277623 . _:b674348714 . _:b663277631 . _:b675160658 . _:b674016481 . _:b665795412 . _:b674348715 . _:b675160659 . _:b674016486 . _:b675160660 . _:b663277609 . _:b674348708 . _:b674016487 . _:b674348709 . _:b663277602 . _:b674016484 . _:b674348710 . _:b663277603 . _:b674016485 . _:b662809651 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b675160570 . _:b674348711 . _:b674016490 . _:b674348704 . _:b662809747 . _:b674016491 . _:b674348705 . _:b674016488 . _:b665176917 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b674348706 . . _:b662809745 . _:b674016489 . _:b674348707 . _:b663277608 . _:b674016494 . _:b674348700 . _:b674016495 . _:b674016479 . _:b674348701 . _:b663277610 . _:b674016492 . _:b674348702 . _:b674016493 . _:b674348703 . _:b674016498 . _:b675160563 . _:b674348696 . _:b665176461 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b674016499 . _:b674348697 . _:b674016496 . _:b675160702 . _:b674348698 . _:b663277615 . _:b674016497 . _:b665971207 . _:b674348699 . _:b674016502 . _:b665971206 . _:b665176454 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674348692 . _:b674016503 . _:b674348693 . _:b662809734 . _:b674016500 . _:b674348694 . _:b674016501 . _:b674348695 . _:b662809732 . _:b674016506 . _:b674348688 . _:b674016507 . _:b674016262 . _:b674348689 . _:b674016504 . _:b665971208 . _:b674348690 . _:b663277591 . _:b674016505 . _:b662809729 . _:b674348691 . _:b663277592 . _:b674016510 . _:b662809728 . _:b674348684 . _:b674016511 . _:b674348685 . _:b662809742 . _:b674016508 . _:b665795248 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b668716382 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b674348686 . _:b674016509 . _:b674348687 . _:b662809740 . _:b674016386 . _:b674348680 . _:b666092652 . _:b674016387 . _:b674348681 . _:b663277598 . _:b675160655 . _:b674016384 . _:b662809738 . _:b668379039 . _:b674348682 . _:b663277599 . _:b674016385 . _:b662809737 . _:b668379038 . _:b674348683 . _:b674016390 . _:b668379037 . _:b674348676 . _:b674016391 . _:b675160653 . _:b674348677 . _:b674016388 . _:b674348678 . _:b674016389 . _:b665857170 . _:b665122370 . _:b674348679 . _:b674016394 . _:b665122371 . _:b674348672 . _:b674016395 . _:b665122368 . _:b674348673 . _:b674016261 . _:b674016392 . _:b665122369 . _:b674348674 . _:b674016393 . _:b665122374 . _:b674348675 . _:b674016398 . _:b665122375 . _:b674016399 . _:b665122372 . _:b665795329 . _:b674016396 . _:b675160706 . _:b665122373 . _:b674016397 . _:b665122378 . _:b674016402 . . _:b665122379 . _:b674016403 . _:b665122376 . _:b674016400 . _:b675160578 . _:b675160576 . _:b665122377 . _:b674016401 . _:b675160577 . _:b665122382 . _:b674016406 . _:b665122383 . _:b674016407 . _:b665122380 . _:b674016404 . _:b674348378 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665122381 . _:b668379058 . _:b674016405 . _:b665122386 . _:b665459395 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b674016410 . _:b665122387 . _:b675160468 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b668378591 . _:b674016411 . _:b665122384 . _:b668379057 . _:b674016408 . _:b668379062 . _:b665122385 . _:b674016409 . _:b665857158 . _:b668379063 . _:b665122390 . _:b665795261 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b674016414 . _:b665122391 . _:b674016415 . _:b665122388 . _:b674016412 . _:b665793558 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b674016480 . _:b665122389 . _:b674016413 . _:b665122394 . _:b674016418 . _:b665857165 . _:b665122395 . _:b662809747 . _:b674016419 . _:b665122392 . _:b662809746 . _:b674016416 . _:b668379070 . _:b665122393 . _:b674016417 . _:b668379071 . _:b665122398 . _:b674016422 . _:b665122399 . _:b674016423 . _:b665122396 . _:b674016420 . _:b665122397 . _:b674016421 . _:b665795629 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665122402 . _:b674016426 . _:b666093163 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665122403 . _:b674348768 . _:b674016427 . _:b668379040 . _:b665122400 . _:b674016424 . _:b665122401 . _:b674016425 . _:b665122406 . _:b674016430 . _:b665122407 . _:b674348764 . _:b668379044 . _:b674016431 . _:b674016694 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665122404 . _:b674348765 . _:b668379045 . _:b674016428 . _:b665122405 . _:b674348766 . _:b674016429 . _:b665122410 . _:b674348767 . _:b674016434 . _:b665122411 . _:b674348760 . _:b674016435 . _:b665122408 . _:b674348761 . _:b674016432 . _:b665122409 . _:b674348762 . _:b674016433 . _:b665970756 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665459330 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665122414 . _:b674348763 . _:b674016438 . _:b665122415 . _:b674348756 . _:b674016439 . _:b665122412 . _:b675160787 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b674348757 . _:b674016436 . _:b665122413 . _:b674348758 . _:b666093187 . _:b674016437 . _:b665122418 . _:b674348759 . _:b666093186 . _:b674016442 . _:b665122419 . _:b674348752 . _:b674016443 . _:b665122416 . _:b674348753 . _:b674016440 . _:b665122417 . _:b674348754 . _:b665856964 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b674016441 . _:b665122422 . _:b675160638 . _:b674348755 . _:b674016446 . _:b665122423 . _:b674348748 . _:b674016447 . _:b665122420 . _:b674348749 . _:b674016444 . _:b674016336 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665122421 . _:b674348750 . _:b674016445 . _:b665122426 . _:b674348751 . _:b674016578 . _:b665122427 . _:b674348744 . _:b663277653 . _:b674016579 . _:b665793462 . _:b665122424 . _:b674348745 . _:b674016576 . _:b665793463 . _:b665122425 . _:b674348746 . _:b674016577 . _:b665122430 . _:b674348747 . _:b674016582 . _:b665122431 . _:b674348740 . _:b674016583 . _:b665122428 . _:b674348741 . _:b674016580 . _:b668379074 . _:b665122429 . _:b674348742 . _:b663277643 . _:b674016581 . _:b668379075 . _:b665122306 . _:b674348743 . _:b674016586 . _:b668379072 . _:b665122307 . _:b674348736 . _:b663277637 . _:b674016587 . _:b665970834 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b668379073 . _:b665122304 . _:b674348737 . _:b674016584 . _:b665122305 . _:b674348738 . _:b674016585 . _:b665122310 . _:b674348739 . _:b674016590 . _:b665122311 . _:b678849474 . _:b674016591 . _:b666093206 . _:b665122308 . _:b678849475 . _:b663277634 . _:b674016588 . _:b665122309 . _:b674016589 . _:b665122314 . _:b678849473 . _:b674016295 . _:b674016594 . _:b665122315 . _:b678849478 . _:b674016595 . _:b665122312 . _:b678849479 . _:b663277638 . _:b674016592 . _:b665122313 . _:b678849476 . _:b665794121 . _:b674016593 . _:b665122318 . _:b678849477 . _:b674016598 . _:b665122319 . _:b678849482 . _:b674016599 . _:b665122316 . _:b678849483 . _:b666093228 . _:b674016596 . _:b665122317 . _:b678849480 . _:b674016597 . _:b665122322 . _:b678849481 . _:b674016602 . _:b665122323 . _:b678849486 . _:b674016603 . _:b665122320 . _:b678849487 . _:b674016600 . _:b665122321 . _:b678849484 . _:b674016601 . _:b665122326 . _:b678849485 . _:b674016299 . _:b674016606 . _:b665122327 . _:b678849490 . _:b665793548 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b674016607 . _:b674016298 . _:b665122324 . _:b678849491 . _:b674016297 . _:b674016604 . _:b665122325 . _:b678849488 . _:b674016296 . _:b674016605 . _:b665122330 . _:b678849489 . _:b674016610 . _:b665122331 . _:b678849494 . _:b674016611 . _:b665122328 . _:b678849495 . _:b674016608 . _:b674348668 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665122329 . _:b678849492 . _:b666093302 . _:b674016609 . _:b675160689 "2025-03-23T01:10:39.847222"^^ . _:b665122334 . _:b678849493 . _:b674016614 . _:b665122335 . _:b678849498 . _:b674016615 . _:b665122332 . _:b678849499 . _:b674016612 . _:b665122333 . _:b678849496 . _:b674016613 . _:b665122338 . _:b678849497 . _:b674016618 . _:b665122339 . _:b678849502 . _:b674016619 . _:b666093234 . _:b665122336 . _:b678849503 . _:b674016616 . _:b665122337 . _:b678849500 . _:b674016617 . _:b665122342 . _:b678849501 . _:b662809973 . _:b674016622 . _:b665122343 . _:b678849506 . _:b674016623 . _:b665122340 . _:b678849507 . _:b668378848 . _:b674016620 . _:b665122341 . _:b678849504 . _:b674016621 . _:b665122346 . _:b678849505 . _:b674016626 . _:b665122347 . _:b678849510 . _:b674016627 . _:b665122344 . _:b678849511 . _:b666093021 . _:b674016624 . _:b665122345 . _:b678849508 . _:b674016625 . _:b663277648 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665122350 . _:b678849509 . _:b674016630 . _:b665122351 . _:b678849514 . _:b674016631 . _:b665122348 . _:b678849515 . _:b674016628 . _:b662810020 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665793580 . _:b665122349 . _:b678849512 . _:b674016629 . _:b665793581 . _:b665122354 . _:b678849513 . _:b674016634 . _:b665459367 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665122355 . _:b678849518 . _:b674016635 . _:b665122352 . _:b678849519 . _:b674016632 . _:b665793576 . _:b665122353 . _:b678849516 . _:b674016633 . _:b665793577 . _:b665122358 . _:b678849517 . _:b674016638 . _:b665793578 . _:b665122359 . _:b678849522 . _:b674016639 . _:b665793579 . _:b665122356 . _:b678849523 . _:b674016636 . _:b665793572 . _:b665122357 . _:b678849520 . _:b674016637 . _:b665793573 . _:b665122362 . _:b678849521 . _:b674016514 . _:b665793574 . _:b665122363 . _:b678849526 . _:b668716332 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674016515 . _:b665793575 . _:b665122360 . _:b678849527 . _:b674016512 . _:b665793568 . _:b665122361 . _:b678849524 . _:b674016513 . _:b665793569 . _:b665122366 . _:b678849525 . _:b674016518 . _:b665793570 . _:b665122367 . _:b678849530 . _:b674016519 . _:b665793571 . _:b665122364 . _:b678849531 . _:b665459025 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b674016516 . _:b665793564 . _:b665122365 . _:b678849528 . _:b674016517 . _:b665793565 . _:b665122498 . _:b678849529 . _:b674016522 . _:b665793566 . _:b665122499 . _:b678849534 . _:b674016523 . _:b665793567 . _:b665122496 . _:b678849535 . _:b662810088 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b674016520 . _:b665793560 . _:b665122497 . _:b678849532 . _:b674016521 . _:b665793561 . _:b665122502 . _:b678849533 . _:b674348638 . _:b674016526 . _:b665793562 . _:b665122503 . _:b674016527 . _:b665793563 . _:b665122500 . _:b665176419 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b674016524 . _:b665793556 . _:b665122501 . _:b674016525 . _:b665793557 . _:b665857200 . _:b665122506 . _:b674016530 . _:b665793558 . _:b665122507 . _:b674016531 . _:b665793559 . _:b665122504 . _:b665857387 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b674016528 . _:b665793552 . _:b665122505 . _:b674016529 . _:b665793553 . _:b665122510 . _:b663277816 . _:b674016534 . _:b665793554 . _:b665122511 . _:b663277817 . _:b668378802 . _:b674016535 . _:b665793555 . _:b665122508 . _:b663277818 . _:b674016532 . _:b665793548 . _:b665122509 . _:b674016533 . _:b665793549 . _:b665122514 . _:b663277820 . _:b674016538 . _:b665793550 . _:b665122515 . _:b674016539 . _:b665793551 . _:b665122512 . _:b674016536 . _:b665793544 . _:b665122513 . _:b663277823 . _:b674016537 . _:b665793545 . _:b665122518 . _:b663277808 . _:b674016542 . _:b665793546 . _:b666093080 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665122519 . _:b663277809 . _:b674016543 . _:b665793547 . _:b665122516 . _:b663277810 . _:b674016540 . _:b665793540 . _:b665122517 . _:b663277811 . _:b663277819 . _:b674016541 . _:b665793541 . _:b665122522 . _:b663277812 . _:b674016546 . _:b665793542 . _:b665122523 . _:b663277813 . _:b674016547 . _:b665793543 . _:b665122520 . _:b663277814 . _:b665121949 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b674016544 . _:b665793536 . _:b665122521 . _:b663277815 . _:b674016545 . _:b678850091 "1"^^ . _:b665793537 . _:b665122526 . _:b663277800 . _:b674016550 . _:b665793538 . _:b665122527 . _:b663277801 . _:b663277793 . _:b674016551 . _:b665793539 . _:b665122524 . _:b662810070 . _:b674016548 . _:b665122525 . _:b663277803 . _:b674016549 . _:b674348747 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665122530 . _:b665176330 . _:b674016554 . _:b662810068 . _:b665122531 . _:b666093329 . _:b674016555 . _:b678850093 "1"^^ . _:b665122528 . _:b663277806 . _:b662810066 . _:b674016552 . _:b678850092 "1"^^ . _:b665122529 . _:b663277807 . _:b674016553 . _:b665122534 . _:b674016558 . _:b665176340 . _:b665122535 . _:b662810079 . _:b674016559 . _:b665176919 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665122532 . _:b665458933 . _:b663277802 . _:b674016556 . _:b665122533 . _:b665458932 . _:b662810077 . _:b674016557 . _:b665122538 . _:b665458931 . _:b674016562 . _:b665122539 . _:b674016563 . _:b678850085 "1"^^ . _:b665122536 . _:b674016560 . _:b666093236 . _:b678850084 "1"^^ . _:b665122537 . _:b674016561 . _:b665122542 . _:b665458943 . _:b663277784 . _:b662810072 . _:b674016566 . _:b666093298 . _:b665122543 . _:b663277785 . _:b674016567 . _:b665122540 . _:b674016564 . _:b678850072 "1"^^ . _:b665122541 . _:b662810053 . _:b674016565 . _:b665122546 . _:b662810052 . _:b674016570 . _:b674348321 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b678850078 "1"^^ . _:b665122547 . _:b665458938 . _:b663277789 . _:b674016571 . _:b668716716 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665122544 . _:b665458937 . _:b663277790 . _:b674016568 . _:b665122545 . _:b663277783 . _:b674016569 . _:b662810049 . _:b665122550 . _:b665458919 . _:b674016574 . _:b662809947 . _:b665857283 . _:b665122551 . _:b665458918 . _:b665459523 . _:b662810063 . _:b674016895 . _:b674016575 . _:b665122548 . _:b665458917 . _:b662810062 . _:b674016572 . _:b665122549 . _:b665458916 . _:b674016573 . _:b662809944 . _:b665122554 . _:b663277788 . _:b674016706 . _:b665122555 . _:b663277781 . _:b662810059 . _:b674016707 . _:b665122552 . _:b663277782 . _:b674016704 . _:b666092952 . _:b665122133 . _:b665122553 . _:b662810057 . _:b678849774 . _:b674016705 . _:b665122558 . _:b665458927 . _:b663277768 . _:b662810056 . _:b674016710 . _:b665122559 . _:b665458926 . _:b663277769 . _:b662810103 . _:b674016711 . _:b665122556 . _:b663277770 . _:b665459530 . _:b674016708 . _:b674348320 . _:b674348322 . _:b668716729 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665122557 . _:b663277763 . _:b674348323 . _:b674016709 . _:b662810101 . _:b665122434 . _:b665121920 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b674016714 . _:b665122435 . _:b674348306 . _:b674016715 . _:b665122432 . _:b674348321 . _:b662810098 . _:b674016712 . _:b674348326 . _:b665122433 . _:b662810097 . _:b674016713 . _:b668716438 . _:b665122438 . _:b674348327 . _:b662810096 . _:b674016718 . _:b674348324 . _:b665122439 . _:b674348318 . _:b663277761 . _:b662810111 . _:b674348325 . _:b674016719 . _:b674016705 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665122436 . _:b674348319 . _:b663277762 . _:b674016716 . _:b674348311 . _:b665122437 . _:b663277771 . _:b674348334 . _:b674016717 . _:b662810109 . _:b674348329 . _:b665122442 . _:b674348335 . _:b662809731 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b663277764 . _:b674016722 . _:b674348328 . _:b665122443 . _:b674348332 . _:b674348307 . _:b662810107 . _:b674016723 . . _:b675160898 . . _:b665122440 . _:b668716701 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . . _:b674348333 . _:b674016720 . _:b662810106 . . . . _:b674348304 . _:b663277767 . _:b665122441 . . _:b674348309 . _:b674016721 . _:b674348305 . . _:b665122446 . . _:b675160899 . _:b674348308 . _:b674016726 . _:b665122447 . _:b675160900 . _:b674348330 . _:b674016727 . _:b663277905 . _:b675160901 . _:b665122444 . _:b674348331 . _:b674348310 . _:b665176396 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b662810086 . _:b674016724 . _:b674348300 . _:b665122445 . _:b674016725 . _:b674348342 . _:b665122450 . _:b662810084 . _:b674016730 . _:b663277910 . _:b665122451 . _:b674348302 . _:b674016731 . _:b665122448 . _:b674016728 . _:b674348338 . _:b665122449 . _:b662810081 . _:b674348339 . _:b674016729 . _:b668378860 . _:b665122454 . _:b674016734 . _:b663277914 . _:b665122455 . _:b674016735 . _:b674348343 . _:b674348337 . _:b675160897 . _:b665122452 . _:b674016732 . _:b674348336 . _:b674348350 . _:b665122453 . _:b674348294 . _:b674016733 . _:b674348345 . _:b665122458 . _:b662810092 . _:b674016738 . _:b665122459 . _:b674348293 . _:b674016739 . _:b674348348 . _:b674348349 . _:b665122456 . _:b662810090 . _:b674016736 . _:b665122457 . _:b662810089 . _:b674016737 . _:b674348346 . _:b665122462 . _:b674016742 . _:b674348288 . _:b663277751 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665122463 . _:b662810007 . _:b674016743 . _:b674348291 . _:b674348344 . _:b665122460 . _:b674348290 . _:b662810006 . _:b674016740 . _:b674348303 . _:b665122461 . _:b674016741 . _:b665122466 . _:b674016746 . _:b674348289 . _:b674348301 . _:b665122467 . _:b674348295 . _:b674016747 . _:b675160906 . _:b662810075 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665122464 . _:b674016744 . _:b665857527 . _:b674348347 . _:b665122465 . _:b675160380 . _:b674016745 . _:b674348351 . _:b674016527 . _:b665122470 . _:b675160381 . _:b674016750 . _:b665122471 . _:b675160382 . _:b674016751 . _:b665122182 . _:b665122468 . _:b674016748 . _:b674348296 . _:b665122469 . _:b674016749 . _:b668716560 . _:b665122474 . _:b674016754 . _:b674348298 . _:b675160406 . _:b665122475 . _:b674016755 . _:b675160407 . _:b665122472 . _:b674016752 . _:b674348340 . _:b665122473 . _:b662810009 . _:b674348297 . _:b674016753 . _:b663277939 . _:b674348341 . _:b665857534 . _:b665122478 . _:b662810008 . _:b674016758 . _:b665122479 . _:b674016759 . _:b674348299 . _:b663277937 . _:b665122476 . _:b674016756 . _:b665857068 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b675160412 . _:b665122477 . _:b674016757 . _:b665122482 . _:b665122284 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b674016762 . _:b665122483 . _:b674016763 . _:b662810036 . _:b665122480 . _:b674016760 . _:b662810037 . _:b675160408 . _:b665122481 . _:b674016761 . _:b675160409 . _:b665122486 . _:b674016766 . _:b663277946 . _:b675160410 . _:b665122487 . _:b674016767 . _:b675160411 . _:b665122484 . _:b674016764 . _:b663277944 . _:b674348313 . _:b665122485 . _:b674016765 . _:b663277951 . _:b665122490 . _:b674016642 . _:b675160946 . _:b665122491 . _:b674348314 . _:b674016643 . _:b675160947 . _:b674348312 . _:b665122488 . _:b674348315 . _:b674016640 . _:b665122489 . _:b674016641 . _:b663277923 . _:b674348316 . _:b675160945 . _:b665122494 . _:b674016646 . _:b665122495 . _:b665857547 . _:b674016647 . _:b662810039 . _:b665122492 . _:b662810038 . _:b674348317 . _:b674016644 . _:b674348382 . _:b674348379 . _:b665122493 . _:b674348399 . _:b674348391 . _:b674348387 . _:b662810037 . _:b674016645 . _:b674348386 . _:b674348390 . _:b674016650 . _:b674348377 . _:b675160902 . _:b662810035 . _:b674016651 . _:b674348376 . _:b665857550 . _:b674016648 . _:b662810034 . _:b662810033 . _:b674016649 . _:b674348383 . _:b674016654 . _:b663277930 . _:b674348389 . _:b674016655 . _:b674348378 . _:b674348380 . _:b674348381 . _:b674348388 . _:b674016652 . _:b674016653 . _:b674016658 . _:b665459026 . _:b674016659 . _:b675160474 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665857208 . _:b674348375 . _:b674016656 . _:b662810042 . _:b663277932 . _:b674348397 . _:b665459024 . _:b662810041 . _:b674016657 . _:b662810040 . _:b674016662 . _:b663277842 . _:b662810023 . _:b674016663 . _:b674348398 . _:b662810022 . _:b674016660 . _:b674016630 . _:b675160383 . _:b662810021 . _:b674348360 . _:b674016661 . _:b675160382 . _:b674016666 . _:b674348361 . _:b674348363 . _:b675160880 . _:b675160381 . _:b674016667 . _:b674348362 . _:b675160380 . _:b674016664 . _:b675160379 . _:b662810017 . _:b674016665 . _:b675160378 . _:b678850174 . _:b662810016 . _:b678849746 . _:b674016670 . _:b665459352 . _:b674016671 . _:b675160882 . _:b675160883 . _:b665459013 . _:b674348364 . _:b674016668 . _:b663277848 . _:b675160432 . _:b665857553 . _:b674016669 . _:b665857578 . _:b674348356 . _:b666093004 . _:b674348353 . _:b665459011 . _:b662810028 . _:b674016674 . _:b674348352 . _:b674348354 . _:b662810027 . _:b674016675 . _:b663277853 . _:b674016672 . _:b674348357 . _:b665459008 . _:b674016673 . _:b678849749 . _:b674348359 . _:b663277827 . _:b674348355 . _:b675160386 . _:b665857556 . _:b674348358 . _:b674016678 . _:b675160385 . _:b675160438 . _:b674016679 . _:b665857456 . _:b665459021 . _:b675160384 . _:b674016609 . _:b674016676 . _:b666092997 . _:b674016677 . _:b665459019 . _:b674016682 . _:b674016631 . _:b674016683 . _:b665459351 . _:b665459017 . _:b674016680 . _:b678849756 . _:b665459016 . _:b674016681 . _:b678849985 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b674016686 . _:b663277834 . _:b674016687 . _:b674016684 . _:b674348365 . _:b674016685 . _:b674016690 . _:b674348367 . _:b674016691 . _:b674348366 . _:b674016688 . _:b674016689 . _:b665459386 . _:b675160421 . _:b674016694 . _:b663277874 . _:b665459387 . _:b675160422 . _:b674016695 . _:b665459384 . _:b675160423 . _:b674016692 . _:b674348371 . _:b674348393 . _:b665459385 . _:b675160424 . _:b665793868 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b674348372 . _:b674016693 . _:b674348370 . _:b674348392 . _:b674348395 . _:b674016698 . _:b674016699 . _:b665176639 . _:b674016696 . _:b665122288 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b674348373 . _:b675160428 . _:b674016697 . _:b674348368 . _:b674016702 . _:b674348369 . _:b668716399 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b674348396 . . _:b674016703 . _:b674348374 . _:b674016700 . _:b675160879 . _:b675160876 . _:b674016701 . _:b665459337 . _:b675160878 . _:b675160881 . _:b674348394 . _:b665459336 . _:b674348384 . "Mathias Brochhausen"@en . _:b675160403 . _:b674348385 . _:b675160864 . _:b675160865 . _:b665459335 . _:b665971150 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b675160408 . _:b665459334 . _:b665122562 . _:b675160409 . _:b665122563 . _:b665459026 . _:b665122560 . _:b665459025 . _:b665122561 . _:b665122566 . _:b665458967 . _:b665122567 . _:b665458966 . _:b665122564 . _:b678850170 . _:b665122565 . _:b665122570 . _:b665458963 . _:b678850159 . _:b665459318 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665857540 . _:b665122571 . _:b665458962 . _:b675161026 . _:b665122568 . _:b678850173 . _:b665121981 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665122569 . _:b665795249 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b678850172 . _:b678850175 . _:b665122574 . _:b665459382 . _:b675161027 . _:b665122575 . _:b675161028 . _:b665459383 . _:b665459367 . _:b675161029 . _:b665122572 . _:b675160391 . _:b665458973 . . _:b678850050 . _:b665122573 . _:b675160392 . _:b665458972 . _:b665122295 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665459363 . _:b678850051 . _:b665458969 . _:b678850052 . _:b675160396 . _:b678850053 . _:b665458951 . _:b675160397 . _:b665458950 . _:b665458949 . _:b665459389 . _:b665459388 . _:b665458948 . _:b665459388 . _:b665458947 . _:b668716929 . _:b665458945 . _:b665459384 . _:b665458944 . _:b678850049 . _:b663276261 "per discussion with Barry Smith" . _:b665458959 . _:b665459350 . _:b665793852 . _:b665459349 . _:b665793853 . _:b665857010 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665793854 . _:b665121915 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665459379 . _:b665793855 . _:b665459355 . _:b665793848 . _:b665458952 . _:b665793849 . _:b665458999 . _:b665793850 . _:b665793851 . _:b665458946 . _:b678850058 . _:b665793844 . _:b665458996 . _:b665458947 . _:b665793845 . _:b665793846 . _:b665458994 . _:b665793847 . _:b666092990 . _:b663276410 . _:b665793840 . _:b665793841 . _:b665459007 . _:b665122011 . _:b665793842 . _:b665459006 . _:b663276310 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665793836 . _:b665793837 . _:b665793838 . _:b666092983 . _:b663276274 "per discussion with Barry Smith" . _:b665459002 . _:b665793839 . . _:b665459328 . _:b665793832 . _:b665459000 . _:b665176395 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665793834 . _:b665458982 . _:b665459363 . _:b665122294 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665793835 . _:b663276287 "per discussion with Barry Smith" . _:b665122551 . _:b665458980 . _:b675160465 . _:b665122001 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665458978 . _:b665793831 . _:b665176571 . _:b665459364 . _:b665458976 . _:b665458991 . _:b678850068 . _:b665459356 . _:b665176572 . _:b665459357 . _:b665857437 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b678850098 . _:b665458989 . _:b675160471 . _:b678850099 . _:b675160418 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b675160472 . _:b665458987 . _:b678850097 . _:b665459353 . _:b665459354 . _:b665459344 . _:b665459355 . _:b665176565 . _:b662810081 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b666092959 . _:b665176567 . _:b678850054 . _:b675161024 . _:b665176660 . _:b665857539 . _:b675161022 . _:b675160491 . _:b668378697 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b666092794 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b668378675 . _:b675160490 . _:b665459298 . _:b665122289 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b675160489 . _:b675160476 . _:b662809604 . _:b665459297 . _:b675160477 . _:b665459296 . _:b675160478 . _:b668378676 . _:b665793796 . _:b665793797 . _:b665176646 . _:b663277953 . _:b665793916 . _:b665176653 . _:b665793917 . _:b665971192 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b674348719 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665793918 . _:b665793919 . _:b665793912 . _:b674016668 . _:b665793913 . _:b674016667 . _:b665793914 . _:b674016666 . _:b665793915 . _:b674016665 . _:b668378662 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665793908 . _:b663276328 "per discussion with Barry Smith" . _:b674016664 . _:b665793909 . _:b675160456 . _:b665793910 . _:b668716768 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665793911 . _:b668378671 . _:b665793904 . _:b668378670 . _:b665793905 . _:b668378669 . _:b665793906 . _:b675160375 . _:b668378668 . _:b665459291 . _:b665793907 . _:b665970781 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665793900 . _:b668378706 . _:b665793901 . _:b665459293 . _:b675160378 . _:b668378704 . _:b665459292 . _:b665793902 . _:b668378705 . _:b665459295 . _:b665793903 . _:b665793896 . _:b665459294 . _:b665176500 . _:b665793897 . _:b675160376 . _:b665793898 . _:b665793899 . _:b665793892 . _:b675160379 . _:b675160455 . _:b665793893 . _:b665793894 . _:b665793895 . _:b665793888 . _:b668716752 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b663276292 "per discussion with Barry Smith" . _:b665793889 . _:b665793890 . _:b665793891 . _:b666093102 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665793884 . _:b665793885 . _:b675160464 . _:b665793886 . _:b675161018 . _:b668378688 . _:b675160465 . _:b665793887 . _:b668378689 . _:b668378694 . _:b675160466 . _:b665793880 . _:b665857027 "per discussion with Barry Smith" . _:b675161007 . _:b675160467 . _:b665793881 . _:b675160468 . _:b665793917 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665793882 . _:b675161021 . _:b675160469 . _:b674348671 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b668378693 . _:b665793883 . _:b675161020 . _:b665857392 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b675161023 . _:b665793876 . _:b665793877 . _:b665793878 . _:b665793879 . _:b668378702 . _:b665793872 . _:b675160488 . _:b668378703 . _:b668716859 . _:b665793873 . _:b665793874 . _:b668716860 . _:b668378701 . _:b668716861 . _:b665793875 . _:b665793868 . _:b678850178 . _:b665793869 . _:b675160341 . _:b665793870 . _:b675160340 . _:b678850179 . _:b665793871 . _:b678850180 . _:b665793864 . _:b678850181 . _:b665793865 . _:b675160487 . _:b665793866 . _:b665793867 . _:b668716854 . _:b665793860 . _:b665970756 . _:b665793861 . _:b665970757 . _:b665793862 . _:b665970758 . _:b665793863 . _:b665970759 . _:b665793856 . _:b665970739 . _:b663277635 . _:b665793857 . _:b665970740 . _:b665793858 . _:b665795543 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665970754 . _:b665793859 . _:b663277632 . _:b665970755 . _:b662810100 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b663277639 . _:b665122459 . _:b665970744 . _:b665970745 . _:b668716836 . _:b668716837 . _:b665970760 . _:b665971161 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b675160341 . _:b668716832 . _:b665970751 . _:b675160340 . _:b675160437 . _:b668716831 . _:b668716828 . _:b668716829 . _:b675160435 . _:b665970728 . _:b675160442 . _:b675160444 . _:b665970729 . _:b665970730 . _:b675160446 . _:b665795190 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665459021 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665970727 . _:b675160420 . _:b665970726 . _:b668716811 . _:b675160707 _:b675160706 . _:b675160727 _:b675160728 . _:b665793948 . _:b665793949 . _:b662809724 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665121858 . _:b675160718 _:b675160721 . _:b665793950 . _:b665970734 . _:b665121859 . _:b675160708 _:b675160707 . _:b665121926 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665970733 . _:b665121856 . _:b665793944 . _:b665970732 . _:b665121857 . _:b675160431 . _:b675160713 _:b675160715 . _:b675160733 _:b675160734 . _:b665793945 . _:b665970731 . _:b665121862 . _:b665793946 . _:b665970730 . _:b665121863 . _:b665793947 . _:b665970729 . _:b665121860 . _:b675160715 _:b675160714 . _:b675160711 _:b675160717 . _:b663277666 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665793940 . _:b665970728 . _:b665121861 . _:b668716819 . _:b675160427 . _:b675160717 _:b675160716 . _:b665793941 . _:b668716821 . _:b665121866 . _:b665793942 . _:b665121867 . _:b665793943 . _:b665121864 . _:b675160716 _:b675160712 . _:b675160705 _:b675160708 . _:b678850143 . _:b665793936 . _:b665121865 . _:b675160401 . _:b675160407 . _:b663277587 . _:b665793937 . _:b668716923 . _:b665121870 . _:b675160406 . _:b678850176 . _:b665793938 . _:b675160728 _:b675160731 . _:b675160724 _:b675160723 . _:b668716924 . _:b665121871 . _:b675160725 _:b675160724 . _:b665793939 . _:b675160720 _:b675160719 . _:b668716925 . _:b665121868 . _:b675160402 . _:b665793932 . _:b668716926 . _:b665121869 . _:b665793933 . _:b668716927 . _:b665121874 . _:b675160734 _:b675160736 . _:b665793934 . _:b668716912 . _:b665121875 . _:b665458934 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b675160413 . _:b663277589 . _:b665793935 . _:b668716913 . _:b665121872 . _:b675160721 _:b675160720 . _:b665793928 . _:b665121873 . _:b675160712 _:b675160713 . _:b675160722 _:b675160725 . _:b665793929 . _:b665121878 . _:b662809712 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665793930 . _:b665121879 . _:b663277593 . _:b665793931 . _:b665121876 . _:b675160400 . _:b663277739 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665793924 . _:b675160732 _:b675160739 . _:b665121877 . _:b665793925 . _:b665121882 . _:b675160398 . _:b675160730 _:b675160729 . _:b665793926 . _:b665857569 . _:b665121883 . _:b675160399 . _:b665793927 . _:b665121880 . _:b675160731 _:b675160730 . _:b675160396 . _:b675160390 . _:b665793920 . _:b665121881 . _:b675160397 . _:b665793921 . _:b665121886 . _:b665793922 . _:b665121887 . _:b675160395 . _:b665793923 . _:b675160740 _:b675160743 . _:b665121884 . _:b675160388 . _:b665121885 . _:b675160389 . _:b668716911 . _:b665121890 . _:b675160736 _:b675160735 . _:b675160739 _:b675160733 . _:b665121891 . _:b666092923 . _:b665121888 . _:b665121889 . _:b665857385 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665121894 . _:b675160739 _:b675160738 . _:b663276478 . _:b665970813 . _:b665121895 . _:b665121892 . _:b675160738 _:b675160737 . _:b665121893 . _:b675160743 _:b675160742 . _:b665121898 . _:b665121899 . _:b675160742 _:b675160741 . _:b665970786 . _:b665121896 . _:b663276420 . _:b665121897 . _:b665121902 . _:b678849640 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665121903 . _:b663277617 . _:b665121900 . _:b665121901 . _:b663276427 . _:b663277678 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665121906 . _:b675160763 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b668716880 . _:b665121907 . _:b663277621 . _:b674348350 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b678849944 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665121904 . _:b663276428 . _:b665121905 . _:b663277627 . _:b665121910 . _:b674348864 . _:b665121911 . _:b665970820 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665970792 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665121908 . _:b665121909 . _:b668716558 . _:b665121914 . _:b675160704 _:b675160703 . _:b666092880 . _:b665970769 . _:b665121915 . _:b668716873 . _:b665970770 . _:b665121912 . _:b665793534 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665970771 . _:b665121913 . _:b674016889 . _:b675160487 . _:b665970772 . _:b665121918 . _:b675160703 _:b675160702 . _:b665121919 . _:b666092887 . _:b665121916 . _:b675160482 . _:b663277600 . _:b668379066 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665121917 . _:b665970776 . _:b675160696 _:b675160695 . _:b663276425 . _:b675160492 . _:b675160697 _:b675160696 . _:b675160494 . _:b675160694 _:b675160697 . _:b663277604 . _:b675160489 . _:b663277611 . _:b668716867 . _:b665970780 . _:b675160693 _:b675160692 . _:b675160490 . _:b675160691 _:b675160690 . _:b675160468 . _:b665122433 . _:b665176922 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . . _:b663277613 . _:b675160470 . _:b665970756 . _:b675160683 _:b675160684 . _:b665970757 . _:b675160687 _:b675160688 . _:b675160683 _:b675160685 . _:b675160680 _:b675160681 . _:b665795622 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b662809575 . _:b666092872 . _:b668716963 . _:b675160685 _:b675160686 . _:b666092874 . _:b675160479 . _:b662809578 . _:b675160673 _:b675160674 . _:b668716787 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b662809579 . _:b663277786 . _:b668716961 . _:b674348368 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b662809576 . _:b662809577 . _:b675160477 . _:b675160676 _:b675160677 . _:b662809582 . _:b678849654 "1"^^ . _:b663277791 . _:b675160450 . . _:b678849655 "1"^^ . _:b662809583 . _:b675160451 . _:b675160453 . _:b662809580 . _:b675160678 _:b675160679 . _:b675160676 _:b675160678 . _:b662809581 . _:b668716802 . _:b674016319 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b675160455 . _:b662809586 . _:b665970839 . _:b675160448 . _:b662809587 . _:b665970838 . _:b665970823 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b675160660 _:b675160659 . _:b662809584 . _:b675160662 _:b675160664 . _:b665970837 . _:b675160662 _:b675160663 . _:b662809585 . _:b662809590 . . _:b675160658 _:b675160657 . _:b675160659 _:b675160658 . _:b662809591 . _:b674348820 . _:b675160671 _:b675160672 . _:b662809588 . _:b663277765 . _:b678849725 . _:b675160462 . _:b662809589 . _:b675160669 _:b675160671 . _:b662809594 . _:b662809595 . _:b675160457 . _:b662809592 . _:b665122139 . _:b675160656 _:b675160660 . _:b662809593 . _:b675160669 _:b675160670 . _:b675160459 . _:b662809598 . _:b675160640 _:b675160639 . _:b662809599 . _:b675160666 _:b675160667 . _:b665459447 . _:b675160640 _:b675160637 . _:b662809596 . _:b675160664 _:b675160665 . _:b662809597 . _:b663277772 . _:b665121838 . _:b665121839 . _:b675160701 _:b675160704 . _:b675160641 _:b675160640 . _:b662810093 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b668716959 . _:b665121842 . _:b668716944 . _:b675160644 _:b675160643 . _:b665121843 . _:b675160645 _:b675160644 . _:b668716945 . _:b665121840 . . _:b668716946 . _:b665121841 . _:b665121846 . _:b675160649 _:b675160648 . _:b665121847 . _:b675160647 _:b675160655 . _:b675160650 _:b675160649 . _:b665121844 . _:b675160651 _:b675160650 . _:b665121845 . _:b675160642 _:b675160645 . _:b675160652 _:b675160651 . _:b675160653 _:b675160652 . _:b665121850 . _:b668716936 . _:b675160820 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665121851 . _:b675160655 _:b675160654 . _:b663277821 . _:b668716937 . _:b665121848 . _:b668716938 . _:b675160654 _:b675160653 . _:b665121849 . _:b668716939 . _:b675160819 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665121854 . _:b665970826 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b663277794 . _:b665121855 . _:b668716941 . _:b675160415 . _:b665121852 . _:b675160636 _:b675160641 . _:b668716942 . _:b665121853 . _:b665970824 . _:b668716943 . _:b665121986 . _:b678849481 . _:b665970825 . _:b668716928 . _:b665121987 . _:b665970826 . _:b668716929 . _:b675160608 _:b675160607 . _:b665121984 . _:b675160609 _:b675160606 . _:b668716930 . _:b665121985 . _:b665795559 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b668716931 . _:b665121990 . _:b668716932 . _:b665121991 . _:b668716863 . _:b665121988 . _:b675160609 _:b675160608 . _:b668716934 . _:b665121989 . _:b665857336 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665795617 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b668716935 . _:b665121994 . _:b668716281 . _:b675160424 . _:b665121995 . _:b665121992 . _:b663277804 . _:b665970819 . _:b665121993 . _:b665970820 . _:b668716882 . _:b665121998 . _:b668716277 . _:b674348702 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b675160639 _:b675160638 . _:b665121999 . _:b674016240 . _:b662810255 . _:b665121996 . _:b665971037 "2024-09-29T19:47:05.949891"^^ . _:b665121997 . _:b675160417 . _:b665122002 . _:b675160416 . _:b665122003 . _:b675160419 . _:b665122000 . _:b678849616 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b675160418 . _:b665122001 . _:b675160421 . _:b665122006 . _:b675160420 . _:b665122007 . _:b675160423 . _:b665122004 . _:b675160422 . _:b665122005 . _:b665122010 . _:b665122011 . _:b665122008 . _:b675160843 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665122009 . _:b668716880 . _:b675160578 _:b675160577 . _:b665122014 . _:b674016937 . _:b668716869 . _:b665122015 . _:b678850009 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665122012 . _:b675160577 _:b675160576 . _:b665122013 . _:b675160584 _:b675160588 . _:b675160583 _:b675160582 . _:b665122018 . _:b665122019 . _:b675160582 _:b675160581 . . _:b665122016 . _:b675160583 _:b675160580 . _:b675160435 . _:b665857088 . _:b668716875 . _:b665122017 . _:b675160587 _:b675160586 . _:b665122022 . _:b674016930 . _:b665122023 . _:b675160436 . _:b678850115 . _:b665122020 . _:b665122021 . _:b675160588 _:b675160587 . _:b675160600 _:b675160601 . _:b665122026 . _:b678850118 . _:b675160579 _:b675160583 . _:b665122027 . _:b665122024 . _:b675160588 _:b675160585 . _:b665122025 . _:b665122030 . _:b665122031 . _:b665121919 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665122028 . _:b665122029 . _:b665122034 . _:b665122035 . _:b665857329 "per discussion with Barry Smith" . _:b665122032 . _:b665176864 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b674016944 . _:b665122033 . _:b678850125 . _:b665122038 . _:b665122039 . _:b675160605 _:b675160609 . _:b674016951 . _:b665122036 . _:b665857342 "per discussion with Barry Smith" . _:b665122037 . _:b665122042 . _:b665177133 "2024-09-14T08:23:04.462700"^^ . _:b665122043 . _:b665176875 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665122040 . _:b665122041 . _:b665122046 . _:b665122047 . _:b665793892 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665122044 . _:b665122045 . _:b665121922 . _:b665795842 . _:b675160974 _:b675160978 . _:b665121923 . _:b665121920 . _:b675160801 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665121921 . _:b665121926 . _:b665121925 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665121927 . _:b678850114 . _:b665121924 . _:b678850115 . _:b665121925 . _:b678850112 . _:b665121930 . _:b678850113 . _:b668716927 . _:b665121931 . _:b678850118 . _:b665121928 . _:b678850119 . _:b665121929 . _:b678850116 . _:b668716688 . _:b675160978 _:b675160975 . _:b665121934 . _:b678850117 . _:b665121935 . _:b678850122 . _:b675160473 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b674016341 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665121932 . _:b678850123 . _:b665121933 . _:b678850120 . _:b678849699 . _:b675160977 _:b675160976 . _:b675160978 _:b675160977 . _:b665121938 . _:b678850121 . _:b665121939 . _:b678850126 . _:b675160484 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665121936 . _:b678850127 . _:b665121937 . _:b678850124 . _:b663277638 . . _:b665121942 . _:b678850125 . _:b675160969 _:b675160970 . _:b665121943 . _:b678850130 . _:b665970977 . . _:b678850131 . _:b665121940 . _:b665121941 . _:b678850128 . _:b665121946 . _:b678850129 . _:b678849527 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665121947 . _:b678850134 . _:b665121944 . _:b678850135 . _:b668717002 . _:b665121945 . _:b678850132 . _:b665121950 . _:b678850133 . _:b665121951 . _:b678850138 . _:b665121948 . _:b678850139 . _:b668716590 . _:b665121949 . _:b678850136 . _:b665121954 . _:b678850137 . _:b668716576 . _:b668716594 . _:b665121955 . _:b678850142 . _:b675161016 _:b675161024 . _:b668379289 . _:b668716577 . _:b665121952 . _:b678850143 . _:b662810004 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665121953 . _:b678850140 . _:b665121958 . _:b678850141 . _:b668716592 . _:b665121959 . _:b678850146 . _:b665121956 . _:b678850147 . _:b674348737 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b666093373 . _:b665121957 . _:b678850144 . _:b665121962 . _:b678850145 . _:b668716568 . _:b665121963 . _:b678850150 . . _:b665122370 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b675161005 _:b675161010 . _:b665856997 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b668716569 . _:b665121960 . _:b678850151 . _:b668716570 . _:b665121961 . _:b678850148 . _:b675161020 _:b675161019 . _:b675161021 _:b675161020 . _:b665121966 . _:b678850149 . _:b665857396 "per discussion with Barry Smith" . _:b675161011 _:b675161014 . _:b668716572 . _:b665121967 . _:b678850154 . _:b675161023 _:b675161022 . _:b668716573 . _:b665121964 . _:b678850155 . _:b668716574 . _:b675161022 _:b675161021 . _:b665121965 . _:b678850152 . _:b665795611 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b668716575 . _:b665121970 . _:b678850153 . _:b668716560 . _:b665121971 . _:b678850158 . _:b666093366 . _:b675161018 _:b675161017 . _:b668716561 . _:b665121968 . _:b678850159 . _:b675161019 _:b675161018 . _:b668716919 . _:b668716562 . _:b665121969 . _:b678850156 . _:b666093352 . _:b668716563 . _:b665121974 . _:b678850157 . _:b675161013 _:b675161012 . _:b674016300 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b675161014 _:b675161013 . _:b665121975 . _:b678850162 . _:b668716565 . _:b675161008 _:b675161007 . _:b665121972 . _:b678850163 . _:b675161009 _:b675161006 . _:b668716566 . _:b665121973 . _:b678850160 . _:b668716567 . _:b675161010 _:b675161009 . _:b665121978 . _:b678850161 . _:b666093359 . _:b665121979 . _:b678850166 . _:b665121976 . _:b678850167 . _:b675161009 _:b675161008 . _:b668716554 . _:b665121977 . _:b678850164 . _:b675161047 _:b675161048 . _:b668716555 . _:b665121982 . _:b678850165 . _:b675161045 _:b675161046 . _:b668716556 . _:b665121983 . _:b678850170 . _:b675161045 _:b675161047 . _:b668716557 . _:b665121980 . _:b678850171 . _:b665176764 . _:b668716558 . _:b665121981 . _:b678850168 . _:b668716559 . _:b665122114 . _:b678850169 . _:b675161040 _:b675161041 . _:b668716544 . _:b665122115 . _:b678850174 . _:b665122112 . _:b678850175 . _:b675161042 _:b675161043 . _:b665122113 . _:b678850172 . _:b675161054 _:b675161055 . _:b665122118 . _:b678850173 . _:b675161052 _:b675161054 . _:b674016582 . _:b665122119 . _:b678850050 . _:b675161052 _:b675161053 . _:b665122116 . _:b678850051 . _:b665122117 . _:b678850048 . _:b665122122 . _:b678850049 . _:b675161024 _:b675161023 . _:b665122123 . _:b678850054 . _:b675161049 _:b675161050 . _:b665122120 . _:b678850055 . . _:b665122121 . _:b678850052 . _:b665857355 "per discussion with Barry Smith" . _:b674016687 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b678849723 "1"^^ . _:b665122126 . _:b678850053 . _:b675161027 _:b675161026 . _:b674016520 . _:b678849722 "1"^^ . _:b665122127 . _:b678850058 . _:b665122124 . _:b678850059 . _:b668716670 . _:b665122125 . _:b678850056 . _:b675161031 _:b675161032 . _:b668716637 . _:b668716671 . _:b665122130 . _:b678850057 . _:b665857360 "per discussion with Barry Smith" . _:b665122131 . _:b678850062 . _:b675161028 _:b675161027 . _:b675161029 _:b675161028 . _:b665122128 . _:b678850063 . _:b668716634 . _:b678849724 "1"^^ . _:b668716652 . _:b675161031 _:b675161033 . _:b665122129 . _:b678850060 . _:b662810249 . _:b675161038 _:b675161040 . _:b678849715 "1"^^ . _:b665122134 . _:b678850061 . _:b675161035 _:b675161036 . _:b663277650 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665122135 . _:b678850066 . _:b678849663 . _:b675161033 _:b675161034 . _:b665122132 . _:b678850067 . _:b668716648 . _:b665122133 . _:b678850064 . _:b675161038 _:b675161039 . _:b665122138 . _:b678850065 . _:b665122139 . _:b678850070 . _:b675161025 _:b675161029 . _:b665122136 . _:b678850071 . _:b678849716 "1"^^ . _:b665122137 . _:b678850068 . _:b665122142 . _:b678850069 . _:b665122143 . _:b678850074 . _:b662809669 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665793780 . _:b665122140 . _:b678850075 . _:b674016260 . _:b662809634 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665122141 . _:b678850072 . _:b674348690 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665122146 . _:b678850073 . _:b665793777 . _:b665122147 . _:b678850078 . _:b678849709 "1"^^ . _:b665122144 . _:b678850079 . _:b665122145 . _:b678850076 . _:b665122150 . _:b678850077 . _:b665122151 . _:b678850082 . _:b665122148 . _:b678850083 . _:b674348670 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665122149 . _:b678850080 . _:b678849703 "1"^^ . _:b665122154 . _:b678850081 . _:b663277955 . _:b678850086 . _:b665122155 . _:b665795751 . _:b665122152 . _:b678850087 . _:b665795748 . _:b665122153 . _:b678850084 . _:b674016568 . _:b665122158 . _:b678850085 . _:b665122159 . _:b678850090 . _:b665971195 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665122156 . _:b678850091 . _:b665122157 . _:b678850088 . _:b674016575 . _:b665122162 . _:b678850089 . _:b665795758 . _:b678849648 . _:b665122163 . _:b678850094 . _:b674016561 . _:b665122160 . _:b678850095 . _:b665122161 . _:b678850092 . . _:b665122166 . _:b678850093 . _:b675161056 _:b675161057 . _:b665122167 . _:b678850098 . _:b674348626 . _:b665122164 . _:b678850099 . _:b665122165 . _:b678850096 . _:b674348636 . _:b662809635 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665122170 . _:b678850097 . _:b665122171 . _:b678850102 . _:b674348333 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665122168 . _:b678850103 . _:b668716635 . _:b665122169 . _:b678850100 . _:b665122174 . _:b678850101 . _:b675160892 _:b675160893 . _:b665122175 . _:b678850106 . _:b668716636 . _:b665122172 . _:b678850107 . _:b663276360 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665122173 . _:b678850104 . _:b675160866 _:b675160869 . _:b675160876 _:b675160875 . _:b675160877 _:b675160876 . _:b665122050 . _:b678850105 . _:b665793538 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665122051 . _:b678850110 . _:b675160879 _:b675160878 . _:b665122048 . _:b678850111 . _:b675160878 _:b675160877 . _:b665122049 . _:b678850108 . _:b665459153 . _:b665793537 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665122054 . _:b678850109 . _:b675160874 _:b675160883 . _:b665122055 . _:b674016669 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665122052 . _:b675160887 _:b675160888 . _:b665971189 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665122053 . _:b678849659 . _:b665177033 . _:b665122058 . _:b675160868 _:b675160867 . _:b665122059 . _:b675160512 . _:b675160869 _:b675160868 . _:b665177035 . _:b665122056 . _:b678849661 . _:b665122057 . _:b675160894 _:b675160892 . _:b665122062 . _:b665459160 . _:b678849647 . _:b665122063 . _:b678849662 . _:b675160895 _:b675160894 . _:b665177039 . _:b665122060 . _:b665795174 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665122061 . _:b665971136 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665122066 . _:b675160889 _:b675160887 . _:b665122067 . _:b666092733 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b675160890 _:b675160889 . _:b665122064 . _:b665795252 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b675160886 _:b675160890 . _:b662809653 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665122065 . _:b665122070 . _:b675160537 . _:b675160880 _:b675160879 . _:b668716807 . _:b665122071 . _:b665122068 . _:b675160891 _:b675160895 . _:b665122069 . _:b668379031 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665122146 . _:b675160882 _:b675160881 . _:b665971120 . _:b665122074 . _:b675160883 _:b675160882 . _:b665122075 . _:b665122072 . _:b665793493 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b675160881 _:b675160880 . _:b675160529 . _:b665122073 . _:b675160530 . _:b666093082 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665122078 . _:b675160531 . _:b665971125 . _:b675160532 . _:b665122079 . _:b665971126 . _:b665122076 . _:b674016710 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665122077 . _:b665122082 . _:b665177040 . _:b665122083 . _:b665122080 . _:b665122081 . _:b665122086 . _:b675160528 . _:b665122087 . _:b665122084 . _:b665177046 . _:b665122085 . _:b665971095 . _:b665122090 . _:b668716410 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665122091 . _:b674348297 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665122088 . _:b665122089 . _:b665971108 . _:b665122094 . _:b668716700 . _:b665971109 . _:b665122095 . _:b665122092 . _:b665122093 . _:b665971103 . _:b665122098 . _:b665971113 . _:b665971102 . _:b665122099 . _:b674348299 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665971101 . _:b665971114 . _:b665122096 . _:b668716690 . _:b675161058 "2025-03-23T01:10:41.227831"^^ . _:b665971100 . _:b665122097 . _:b665971099 . _:b665122102 . _:b675160533 . _:b665971098 . _:b665122103 . _:b665971097 . _:b665459293 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665122100 . _:b665971096 . _:b665122101 . _:b665459077 . _:b665122106 . _:b665122107 . _:b665122104 . _:b665970965 . _:b665122105 . _:b675160957 _:b675160956 . _:b665122110 . _:b665122111 . _:b675160957 _:b675160954 . _:b674016337 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665122108 . _:b675160944 _:b675160947 . _:b665459577 . _:b675160956 _:b675160955 . _:b665122109 . _:b675160952 _:b675160949 . _:b665122242 . _:b675160948 _:b675160952 . _:b665971097 . _:b665122243 . _:b665971098 . _:b665122240 . _:b675160952 _:b675160951 . _:b665971099 . _:b665122241 . . _:b665122246 . . _:b675160953 _:b675160957 . _:b675160514 . _:b665122247 . _:b678850178 . _:b665122244 . _:b678850179 . _:b674016526 . _:b675160951 _:b675160950 . _:b665177078 . _:b665122245 . _:b678850176 . _:b665459570 . _:b675160946 _:b675160945 . _:b665122250 . _:b678850177 . _:b675160947 _:b675160946 . _:b675160513 . _:b675160934 _:b675160935 . _:b665122251 . _:b678850182 . _:b665122248 . _:b678850183 . _:b665122249 . _:b678850180 . _:b665122254 . _:b678850181 . _:b678849831 . _:b665122255 . _:b678850186 . _:b675160937 _:b675160936 . _:b675160935 _:b675160938 . _:b675160938 _:b675160937 . _:b665122252 . _:b678850187 . _:b662810038 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b678849824 . _:b665122253 . _:b678850184 . _:b678849730 . _:b675160511 . _:b665122258 . _:b678850185 . _:b678849728 . _:b678849729 . _:b665122259 . _:b678850190 . _:b665122256 . _:b678850191 . _:b665176578 . _:b675160928 _:b675160931 . _:b665122257 . _:b678850188 . _:b665857457 . _:b665122262 . _:b678850189 . _:b675160931 _:b675160930 . _:b665122263 . _:b678850194 . _:b678849838 . _:b665122260 . _:b678850195 . _:b675160930 _:b675160929 . _:b665122261 . _:b678850192 . _:b665176968 . _:b665122266 . _:b678850193 . _:b665856967 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665122267 . _:b678850198 . _:b665122264 . _:b678850199 . _:b665122265 . _:b678850196 . _:b665971188 . _:b665122270 . _:b678850197 . _:b674016318 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . . _:b665971189 . _:b665122271 . _:b678850202 . _:b666093110 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b675160922 _:b675160925 . . . _:b665122268 . _:b678850203 . _:b665122269 . _:b678850200 . _:b665122274 . _:b678850201 . _:b665122275 . _:b678850206 . _:b665122272 . _:b678850207 . _:b665459031 . _:b665122273 . _:b678850204 . _:b675160925 _:b675160924 . . _:b665122278 . _:b678850205 . _:b665122279 . _:b665122276 . _:b675160924 _:b675160923 . _:b675161012 . _:b665122277 . _:b678850208 . _:b675161015 . _:b665122282 . _:b678850209 . . _:b665122283 . _:b665122280 . _:b665122281 . _:b675160496 . _:b675160898 _:b675160897 . _:b665122286 . _:b675160899 _:b675160898 . _:b665122287 . _:b665122284 . _:b665122285 . _:b665122290 . _:b675160927 _:b675160928 . _:b675160905 _:b675160908 . _:b665971193 . _:b675160902 _:b675160901 . _:b665122291 . _:b675160900 _:b675160899 . _:b665971194 . _:b675160901 _:b675160900 . _:b665122288 . _:b665971195 . _:b665176610 . _:b665122289 . _:b675160907 _:b675160906 . _:b665122294 . _:b665122295 . _:b665971182 . _:b665122292 . _:b665122293 . _:b675160908 _:b675160907 . _:b665857505 . _:b665122298 . _:b675160921 _:b675160922 . _:b665122299 . _:b675160896 _:b675160902 . _:b678849790 . _:b665122296 . _:b666092911 . _:b665971155 . _:b665122297 . _:b665122302 . _:b665122303 . _:b665122300 . _:b665122301 . _:b665122178 . _:b665122179 . _:b665122176 . _:b675160507 . _:b665122177 . _:b665122182 . _:b665122183 . _:b675160509 . _:b665122180 . _:b665122181 . _:b675160495 . _:b665971124 . _:b675160510 . _:b665122186 . _:b665971125 . _:b665122187 . _:b666092924 . _:b665971126 . _:b668716433 . _:b665971138 . _:b665122184 . _:b665971127 . _:b665971139 . _:b665122185 . _:b665971140 . _:b665122190 . _:b666092913 . _:b675160848 . _:b665971141 . _:b665122191 . _:b665122188 . _:b665971123 . _:b678849664 . _:b665122189 . _:b675160851 . _:b665857591 . _:b665122194 . _:b666092917 . _:b675160858 . _:b665793906 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665971145 . _:b665122195 . _:b674348479 . _:b675160861 . _:b665793907 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665122192 . _:b678849575 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665122193 . _:b666092918 . _:b675160863 . _:b665971128 . _:b665122198 . _:b675160856 . _:b665971129 . _:b665971137 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665971149 . _:b665122199 . _:b665122196 . _:b665458948 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665122197 . _:b665122350 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b675160859 . _:b668716779 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665857171 . _:b665122064 . _:b665122202 . _:b665795618 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665122203 . _:b675160837 . _:b678849689 . _:b665459052 . _:b665971196 . _:b665793885 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665122200 . _:b665459082 . _:b665971197 . _:b665122201 . _:b665971181 . _:b675160839 . _:b668716331 . _:b665122206 . _:b665971168 . _:b665122207 . _:b665971169 . _:b665795821 . _:b678850024 "1"^^ . _:b665122204 . _:b665971170 . _:b665122205 . _:b665971171 . _:b665971177 . _:b678849681 . _:b665122210 . _:b678849682 . _:b665122211 . _:b678849683 . _:b668716321 . _:b662810022 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665122208 . _:b678849684 . _:b665122209 . _:b668716876 . . _:b665122214 . _:b663276313 . _:b675160846 . _:b665122215 . _:b665122212 . _:b663276315 . _:b665122213 . _:b663276314 . _:b674348486 . _:b674016688 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665122218 . _:b665971198 . _:b678850023 "1"^^ . _:b665122219 . _:b668716870 . _:b666092956 . _:b663276316 . _:b665122216 . _:b678849680 . _:b665971164 . _:b665795835 . _:b665122217 . _:b665122222 . _:b665122223 . _:b665971163 . _:b665122220 . _:b665122221 . _:b665971193 . _:b665122226 . _:b665122227 . _:b668379012 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665122224 . _:b665122225 . _:b665122378 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b674348882 . _:b665122230 . _:b665122508 . _:b665122231 . _:b665122228 . _:b665795828 . _:b665122229 . _:b665122234 . _:b666093328 . _:b675160646 . _:b665122235 . _:b668716650 . _:b678849685 . _:b665122232 . _:b666093180 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665122134 . _:b665122233 . _:b665971169 . _:b675160643 . _:b665122238 . _:b665122239 . _:b668716646 . _:b675160859 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b668716301 . _:b665122236 . _:b668716883 . _:b668716302 . _:b665122237 . _:b665971142 . _:b665122380 . _:b674016608 . _:b665795555 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b668716550 . . _:b665793455 . _:b663276328 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665793454 . _:b678849666 . _:b665793453 . _:b665793452 . _:b665793451 . _:b674016629 . _:b665793450 . _:b678849665 . _:b668716500 . _:b665793449 . _:b665793448 . _:b665971178 . _:b665971158 . _:b674348445 . _:b665793447 . _:b665793446 . _:b665793445 . _:b665971177 . _:b665971167 . _:b665793444 . _:b668716506 . _:b665793443 . _:b665970944 . _:b668716494 . _:b674348913 . _:b665793442 . _:b665122518 . _:b674348666 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b674016623 . _:b665793441 . _:b665793888 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b674016620 . _:b665793440 . _:b678849574 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b674348918 . _:b665793471 . _:b665793470 . _:b665793469 . _:b665970950 . _:b665793468 . _:b674348922 . _:b665793467 . _:b665793466 . _:b665971112 . _:b665793465 . _:b665793464 . _:b665793463 . _:b665793462 . _:b665459495 . _:b665793461 . _:b665793460 . _:b665459493 . _:b668716511 . _:b665793459 . _:b665793458 . _:b665793457 . _:b668716550 . _:b668378703 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665793456 . _:b665971105 . _:b665793423 . _:b668716347 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665793422 . _:b665971107 . _:b665971205 . _:b665793421 . _:b665971106 . _:b665459167 . _:b665793420 . _:b665971109 . _:b665971165 . _:b665971203 . _:b665793419 . _:b665971108 . _:b665793418 . _:b665971111 . _:b665971201 . _:b665793417 . _:b665971110 . _:b665971166 . _:b665459496 . _:b665971200 . _:b665793416 . _:b674348292 . _:b665793415 . _:b665122090 . _:b665793414 . _:b675160833 . _:b665793413 . _:b665856994 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b675160834 . _:b665793412 . _:b674348408 . _:b674348301 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b675160835 . _:b665793411 . _:b674348409 . _:b665459506 . _:b675160836 . _:b665971210 . _:b675160837 . _:b665793410 . _:b674348402 . _:b665459136 . _:b675160838 . _:b665793409 . _:b665971208 . _:b665793408 . _:b665857455 . _:b665793439 . _:b668716513 . _:b665793438 . _:b665177064 . _:b665793437 . _:b675160857 . _:b665970982 . _:b665793436 . _:b675160856 . _:b674348400 . _:b665793435 . _:b674348401 . _:b665971210 . _:b662809737 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665793434 . _:b665971209 . _:b674348410 . _:b663276339 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665793433 . _:b674348403 . _:b665177071 . _:b665793432 . _:b665857023 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665793431 . _:b665459174 . _:b674348829 . _:b665793430 . _:b674348406 . _:b675160853 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665793429 . _:b674348407 . _:b665793428 . _:b665971198 . _:b674348802 . _:b665793427 . _:b665971199 . _:b674348291 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665793426 . _:b665793425 . _:b665793424 . _:b665971149 . _:b668716989 . _:b665793519 . _:b665971148 . _:b668716990 . _:b665793518 . _:b665971151 . _:b666093055 . _:b668716991 . _:b665793517 . _:b665971150 . _:b665793516 . _:b668716798 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665857318 . _:b668716985 . _:b665793515 . _:b668716984 . _:b665793514 . _:b668716987 . _:b665793513 . _:b668716986 . _:b665793512 . _:b668379237 . _:b665793511 . _:b665793510 . _:b668716983 . _:b674348812 . _:b665793509 . _:b668716468 . _:b668716980 . _:b668716982 . _:b665793503 . _:b665793508 . _:b674348850 . _:b668716319 . _:b668716977 . _:b665793502 . _:b665793507 . "Carlo Torniai"@en . _:b665971327 . _:b665459584 . _:b665793506 . _:b668716467 . _:b665459168 . _:b668716450 . _:b668716979 . _:b665793505 . _:b668716976 . _:b668716452 . _:b666092708 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665793504 . _:b668716978 . _:b665793535 . _:b678849803 . _:b665459591 . _:b668716462 . _:b665970976 . _:b665793534 . _:b678849801 . _:b668716463 . _:b668716975 . _:b665793533 . _:b678849804 . _:b665793532 . _:b668716459 . _:b665793531 . _:b668716460 . _:b678849806 . _:b665793530 . _:b674348856 . _:b665793529 . _:b665793528 . _:b666093241 . _:b678849809 . _:b665793527 . _:b678849810 . _:b674348861 . _:b665793526 . _:b678849811 . _:b666093243 . _:b678849812 . _:b665793525 . _:b674348835 . _:b665793524 . _:b665793523 . _:b665793505 . _:b665793522 . _:b665793504 . _:b665793521 . _:b674016525 . _:b665793507 . _:b675160861 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665793520 . _:b665793506 . _:b665793487 . _:b665176808 . _:b665793509 . _:b665793486 . _:b665793508 . _:b665793485 . _:b665793511 . _:b665793484 . _:b674348842 . _:b665793510 . _:b668716442 . _:b665793483 . _:b665793482 . _:b668716633 . _:b665795452 . _:b665176988 . _:b665793481 . _:b665793480 . _:b662810003 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b668716639 . _:b665793479 . _:b665793478 . _:b665793477 . _:b665793476 . _:b674348472 . _:b674348464 . _:b665793475 . _:b665793474 . _:b665793473 . _:b674348475 . _:b668716300 . _:b665793472 . _:b674348476 . _:b665793523 . _:b665793503 . _:b674348477 . _:b665793522 . _:b665793502 . _:b674348478 . _:b665793501 . _:b674348479 . _:b668378643 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b674348471 . _:b665793500 . _:b665793499 . _:b674348465 . _:b665793498 . _:b665793497 . _:b668716292 . _:b665793496 . _:b674348468 . _:b678849807 . _:b665793495 . _:b674348469 . _:b674016309 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . . _:b674016723 . _:b665793463 . _:b665793494 . _:b674348470 . _:b665793462 . _:b674016749 . _:b665459124 . _:b674016748 . _:b665793493 . _:b674016748 . _:b678849805 . _:b665793492 . _:b674348456 . _:b674016697 . _:b665793491 . _:b674348457 . _:b674016696 . _:b665793490 . _:b674016724 . _:b674016744 . _:b665793489 . _:b674348459 . _:b665793488 . _:b674016710 . _:b665793583 . _:b665793465 . _:b668716318 . _:b665793582 . _:b674348462 . _:b674016695 . _:b665793581 . _:b674348463 . _:b674016694 . _:b674016709 . _:b665793580 . _:b674348448 . _:b665971081 . _:b665793466 . _:b665793579 . _:b674348449 . _:b674016739 . _:b665793578 . _:b674348450 . _:b674348458 . _:b665459128 . _:b674016715 . _:b665793577 . _:b674348451 . _:b668716542 . _:b674016356 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665793576 . _:b674348452 . _:b668716543 . _:b665793575 . _:b674348453 . _:b665793574 . _:b674348454 . _:b665793573 . _:b674348455 . _:b665793572 . _:b674348440 . _:b665795186 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b674348432 . _:b665793571 . _:b665459538 . _:b665793570 . _:b674348442 . _:b678850032 . _:b665793569 . _:b665795643 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665793568 . _:b674016742 . _:b663277586 . _:b665793599 . _:b674348445 . _:b674016743 . _:b665793598 . _:b674348446 . _:b665793597 . _:b674348447 . _:b678850034 . _:b678850035 . _:b665793596 . _:b665122512 . _:b668379072 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665793595 . _:b665459546 . _:b674348441 . _:b665793594 . _:b665795242 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b668716803 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665793593 . _:b674348894 . _:b665793592 . _:b665793591 . _:b665793590 . _:b665793502 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665793589 . _:b674348439 . _:b665793588 . _:b674348424 . _:b674348901 . _:b662809880 . _:b665793587 . _:b665793586 . _:b668716860 . _:b665793585 . _:b665793428 . _:b665793584 . _:b674348428 . _:b674016716 . _:b665793551 . _:b674348429 . _:b668716504 . _:b678849943 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b674016717 . _:b665793550 . _:b674348422 . _:b665793549 . _:b665793548 . _:b662810178 . _:b665793427 . _:b665793547 . _:b662810179 . _:b674016713 . _:b665793546 . _:b662810176 . _:b674016704 . _:b674016714 . _:b665793545 . _:b662810177 . _:b674348427 . _:b674016715 . _:b665793544 . _:b674348420 . _:b662810182 . _:b668716511 . _:b665793543 . _:b674348421 . _:b662810183 . _:b665793542 . _:b662810180 . _:b665793541 . _:b674348423 . _:b662810181 . _:b668716498 . _:b674348947 . _:b665793540 . _:b674348536 . _:b674016383 "requested by Melanie Courtot" . _:b662810186 . _:b665793539 . _:b674348537 . _:b662810187 . _:b666093292 . _:b674348945 . _:b668716829 . _:b665793538 . _:b674348538 . _:b662810184 . _:b665793427 . _:b662809620 . _:b665793537 . _:b674348539 . _:b662810185 . _:b665793536 . _:b674348540 . _:b662810190 . _:b674348495 . _:b665793567 . _:b662810191 . _:b674016727 . _:b665793566 . _:b674348542 . _:b662810188 . _:b665793565 . _:b674348543 . _:b662810189 . _:b668716490 . _:b665793564 . _:b674348528 . _:b662810194 . _:b668716491 . _:b674348954 . _:b678850031 . _:b665793563 . _:b678850028 . _:b674348529 . _:b662810195 . _:b665793428 . _:b668716492 . _:b662809614 . _:b675160361 _:b675160360 . _:b674016723 . _:b668717000 . _:b665793562 . _:b678850030 . _:b674348530 . _:b662810192 . _:b675160359 _:b675160362 . _:b665793524 . _:b678850033 . _:b675160362 _:b675160361 . _:b674348952 . _:b665793561 . _:b674348531 . _:b662810193 . _:b665176445 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b674348959 . _:b665793560 . _:b674348532 . _:b662810198 . _:b678850016 . _:b668717001 . _:b665793559 . _:b675160365 _:b675160367 . _:b675160352 _:b675160351 . _:b674348533 . _:b674016712 . _:b662810199 . _:b674348541 . _:b668716996 . _:b675160367 _:b675160366 . _:b665793558 . _:b674348534 . _:b662810196 . _:b678850017 . _:b662809611 . _:b675160353 _:b675160356 . _:b665793557 . _:b674348535 . _:b668716999 . _:b662810197 . _:b674348931 . _:b668716998 . _:b665122496 . _:b674348520 . _:b665793556 . _:b662810202 . _:b675160363 _:b675160370 . _:b668716997 . _:b665793522 . _:b668716993 . _:b665793555 . _:b674348521 . _:b662810203 . _:b668716994 . _:b678849602 . _:b665793554 . _:b674348522 . _:b668716992 . _:b662810200 . _:b675160355 _:b675160354 . _:b668716485 . _:b678849603 . _:b665793553 . _:b674348523 . _:b662810201 . _:b665793533 . _:b678849600 . _:b665793552 . _:b674348524 . _:b662810206 . _:b666093249 . _:b678849601 . _:b665793647 . _:b674348525 . _:b662810207 . _:b665793529 . _:b666092713 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665793535 . _:b678849606 . _:b665793646 . _:b675160356 _:b675160355 . _:b674348526 . _:b662810204 . _:b668716607 . _:b678849607 . _:b665793645 . _:b674348527 . _:b662810205 . _:b665793903 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b678849604 . _:b675160575 _:b675160578 . _:b668716606 . _:b665793644 . _:b674348512 . _:b662810210 . _:b674348938 . _:b665458923 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b678849605 . _:b662810106 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665793643 . _:b678849490 . _:b662810211 . _:b675160371 _:b675160374 . _:b665793531 . _:b665795109 . _:b678849610 . _:b665793642 . _:b674016711 . _:b662810208 . _:b678849611 . _:b665793641 . _:b674348515 . _:b662810209 . _:b678849608 . _:b666092811 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b678849850 . _:b674348516 . _:b665793640 . _:b662810214 . _:b665795106 . _:b678849609 . _:b665793639 . _:b675160364 _:b675160365 . _:b674348517 . _:b662810215 . _:b666093256 . _:b678849614 . _:b665793638 . _:b674348518 . _:b662810212 . _:b674348940 . _:b678849615 . _:b665793637 . _:b674348519 . _:b662810213 . _:b665459214 . _:b678849612 . _:b675160370 _:b675160364 . _:b674348818 . _:b665793636 . _:b678849499 . _:b674348504 . _:b662810218 . _:b675160373 _:b675160372 . _:b678849613 . _:b665793635 . _:b674348505 . _:b662810219 . _:b665793507 . _:b675160374 _:b675160373 . _:b678849618 . _:b665459200 . _:b678849497 . _:b674348506 . _:b665793634 . _:b662810216 . _:b678849619 . _:b665793633 . _:b674348507 . _:b662810217 . _:b675160369 _:b675160368 . _:b678849616 . _:b665793632 . _:b678849503 . _:b674348508 . _:b662810222 . _:b665793518 . _:b675160370 _:b675160369 . _:b678849617 . _:b665793663 . _:b674348509 . _:b662810223 . _:b665459207 . _:b675160358 _:b675160359 . _:b678849622 . _:b665793662 . _:b662810220 . _:b665970832 . _:b678849623 . _:b665793661 . _:b674348511 . _:b662810221 . _:b666092686 . _:b678849620 . _:b665793660 . _:b678849475 . _:b674348496 . _:b662810226 . _:b665793514 . _:b675160332 _:b675160335 . _:b675160322 _:b675160321 . _:b678849621 . _:b665793659 . _:b674348497 . _:b662810227 . _:b678849626 . _:b665122145 . _:b678849473 . _:b674348498 . _:b665793658 . _:b662810224 . _:b674016688 . _:b678849627 . _:b675160343 _:b675160344 . _:b663277855 . _:b674348499 . _:b665793657 . _:b662810225 . _:b665970767 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b678849624 . _:b665793656 . _:b678849479 . _:b674348500 . _:b674016657 . _:b662810230 . _:b665793488 . _:b665793494 . _:b678849625 . _:b665793655 . _:b674348501 . _:b674016656 . _:b662810231 . _:b678849630 . _:b665793654 . _:b675160324 _:b675160323 . _:b674348502 . _:b662810228 . _:b674348510 . _:b678849631 . _:b665793653 . _:b674348503 . _:b662810229 . _:b675160327 _:b675160326 . _:b665793489 . _:b675160325 _:b675160328 . _:b678849628 . _:b665793652 . _:b662810234 . _:b674348480 . _:b678849629 . _:b665793651 . _:b662810235 . _:b665793493 . _:b674348961 . _:b678849634 . _:b665793650 . _:b674348490 . _:b662810232 . _:b665793500 . _:b665176596 . _:b678849635 . _:b665793649 . _:b675160328 _:b675160327 . _:b674348491 . _:b662810233 . _:b678849632 . _:b665793648 . _:b675160334 _:b675160333 . _:b662810238 . _:b674348484 . _:b678849633 . _:b665793615 . _:b678849486 . _:b662810239 . _:b675160335 _:b675160334 . _:b678849638 . _:b665793614 . _:b675160803 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b674348494 . _:b662810236 . _:b678849639 . _:b665793613 . _:b674348495 . _:b662810237 . _:b665459221 . _:b665176603 . _:b678849636 . _:b665793612 . _:b662810114 . _:b678849637 . _:b665793611 . _:b662810115 . _:b674348489 . _:b678849642 . _:b665793610 . _:b678849521 . _:b665793486 . _:b662810112 . _:b678849643 . _:b665793609 . _:b665793487 . _:b662810113 . _:b665793475 . _:b665793477 . _:b678849640 . _:b665793608 . _:b665793484 . _:b662810118 . _:b675160339 _:b675160338 . _:b678849641 . _:b665793607 . _:b674348485 . _:b665793485 . _:b662810119 . _:b674016706 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b678849646 . _:b665793606 . _:b678849525 . _:b674348486 . _:b674016678 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665793482 . _:b662810116 . _:b678849647 . _:b665857192 . _:b675160338 _:b675160337 . _:b665793605 . _:b665793483 . _:b662810117 . _:b678849644 . _:b665793604 . _:b675160348 _:b675160347 . _:b662810122 . _:b665970830 . _:b665793476 . _:b678849645 . _:b665793603 . _:b662810123 . _:b675160351 _:b675160350 . _:b665970831 . _:b674348625 . _:b675160349 _:b675160352 . _:b678849650 . _:b665793602 . _:b662810120 . _:b674348302 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b678849651 . _:b665793601 . _:b662810121 . _:b665970829 . _:b675160336 _:b675160339 . _:b678849648 . _:b665793600 . _:b662810126 . _:b674016746 . _:b675160793 . _:b668379101 . _:b678849649 . _:b675160344 _:b675160346 . _:b665793631 . _:b662810127 . _:b674016747 . _:b674348629 . _:b675160792 . _:b675160342 _:b675160348 . _:b678849654 . _:b665793630 . _:b674016651 . _:b662810124 . _:b674016744 . _:b675160346 _:b675160345 . _:b678849655 . _:b665793629 . _:b662810125 . _:b674016745 . _:b674348635 . _:b675160347 _:b675160343 . _:b678849652 . _:b665795218 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b678849507 . _:b674016653 . _:b665793628 . _:b662810130 . _:b674016658 . _:b678849653 . _:b665793627 . _:b674016652 . _:b662810131 . _:b665857048 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b678849658 . _:b665793626 . _:b674016655 . _:b662810128 . _:b678849659 . _:b665793625 . _:b674016654 . _:b662810129 . _:b678849656 . _:b665793624 . _:b662810134 . _:b675160785 . _:b678849657 . _:b665793623 . _:b662810135 . _:b675160784 . _:b668379009 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b678849662 . _:b665793622 . _:b662810132 . _:b675160787 . _:b678849663 . _:b665793621 . _:b662810133 . _:b675160786 . _:b678849660 . _:b665793620 . _:b662810138 . _:b675160789 . _:b678849661 . _:b665793619 . _:b662810139 . _:b675160788 . _:b678849538 . _:b665793618 . _:b678849513 . _:b662810136 . _:b674348608 . _:b675160791 . _:b678849539 . _:b665793617 . _:b662810137 . _:b675160790 . _:b678849536 . _:b665793616 . _:b662810142 . _:b678849537 . _:b665793711 . _:b678849518 . _:b662810143 . _:b678849542 . _:b665793710 . _:b662810140 . _:b663276355 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b674348612 . _:b665971345 . _:b678849543 . _:b665793709 . _:b662810141 . _:b674348619 . _:b678849540 . _:b665793708 . _:b666093172 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b662810146 . _:b678849541 . _:b666092741 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665793707 . _:b662810147 . _:b665122307 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b678849546 . _:b665793706 . _:b662810144 . _:b678849547 . _:b665793705 . _:b662810145 . _:b678849544 . _:b665793704 . _:b662810150 . _:b678849545 . _:b665793703 . _:b662810151 . _:b674348621 . _:b678849550 . _:b665793702 . _:b662810148 . _:b678849551 . _:b665793701 . _:b662810149 . _:b678849548 . _:b665793700 . _:b668716857 . _:b662810154 . _:b674348451 . _:b678849549 . _:b675160805 . _:b665793699 . _:b662810155 . _:b675160804 . _:b678849554 . _:b665793698 . _:b662810152 . _:b678849555 . _:b665793697 . _:b662810153 . _:b678849552 . _:b665793696 . _:b662810158 . _:b665857023 . _:b678849553 . _:b665793727 . _:b675160824 . _:b662810159 . _:b665857022 . _:b678849558 . _:b665793726 . _:b675160825 . _:b662810156 . _:b678849559 . _:b665793725 . _:b662810157 . _:b678849556 . _:b665793724 . _:b662810162 . _:b678849557 . _:b665793723 . _:b665970712 . _:b662810163 . _:b678849562 . _:b665793722 . _:b662810160 . _:b665176407 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b678849563 . _:b662809886 . _:b665793721 . _:b662810161 . _:b678849560 . _:b665793720 . _:b662810166 . _:b678849561 . _:b665793719 . _:b662810167 . _:b665857222 . _:b678849566 . _:b665793718 . _:b662810164 . _:b678849567 . _:b665793717 . _:b662810165 . _:b674348643 . _:b678849564 . _:b665793716 . _:b662810170 . _:b665458864 . _:b678849565 . _:b665793715 . _:b662810171 . _:b662809989 . _:b678849570 . _:b665459467 . _:b665793714 . _:b662810168 . _:b674348640 . _:b678849571 . _:b665793713 . _:b662810169 . _:b665857136 . _:b674348647 . _:b678849568 . _:b665793712 . _:b662810174 . _:b675160766 . _:b678849569 . _:b665794124 _:b665794125 . _:b665793679 . _:b662810175 . _:b674348764 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665459246 . _:b675160767 . _:b678849574 . _:b665793678 . _:b662810172 . _:b675160764 . _:b678849575 . _:b665793677 . _:b662810173 . _:b675160765 . _:b678849572 . _:b665793676 . _:b675160759 . _:b662810306 . . _:b678849573 . _:b665793675 . _:b675160758 . _:b662810307 . _:b678849578 . _:b665793674 . _:b662810304 . _:b678849579 . _:b665794124 _:b665794129 . _:b665793673 . _:b662810305 . _:b668716632 . _:b668716724 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b678849576 . _:b665793672 . _:b675160757 . _:b662810310 . _:b665794117 _:b665794122 . _:b668716629 . _:b678849577 . "Pat Hayes"@en . _:b665793671 . _:b662810311 . _:b678849582 . _:b663277873 . _:b665793670 . . _:b665794117 _:b665794118 . _:b662810308 . _:b668716631 . _:b678849583 . _:b665793669 . _:b662810309 . _:b668716628 . _:b678849580 . _:b665793668 . _:b668716630 . _:b674348562 . _:b678849581 . _:b665793667 . _:b668716624 . _:b678849586 . _:b665793666 . _:b662810312 . _:b668716627 . _:b678849587 . _:b665793665 . _:b678849584 . _:b665793664 . _:b668716625 . _:b668716919 . _:b678849585 . _:b665793695 . _:b662809668 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b668716620 . _:b678849590 . _:b665793694 . _:b665794138 _:b665794143 . _:b665794138 _:b665794139 . _:b678849591 . _:b665793693 . _:b674016752 "requested by Melanie Courtot" . _:b674016390 . _:b668716623 . _:b674348571 . _:b665970829 . _:b678849588 . _:b668716622 . _:b665793692 . _:b674016389 . _:b668716621 . _:b665795466 . _:b668716617 . _:b678849589 . _:b665793691 . _:b668716618 . _:b674348569 . _:b678849594 . _:b665459475 . _:b668716616 . _:b665793690 . _:b665458987 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b678849595 . _:b665970824 . _:b665793689 . _:b665794131 _:b665794132 . _:b678849592 . _:b675160394 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665793688 . _:b665459257 . _:b668716613 . _:b678849593 . _:b665793687 . _:b675160748 . _:b668716614 . _:b665794131 _:b665794136 . _:b678850107 . _:b678849598 . _:b665793686 . _:b675160747 . _:b665795459 . _:b668716615 . _:b678849599 . _:b665793685 . _:b675160744 . _:b678849596 . _:b665793684 . _:b678849597 . _:b665793683 . _:b668716609 . _:b666093008 . _:b678849730 . _:b668716608 . _:b665793682 . _:b675160745 . _:b668716611 . _:b674348544 . _:b665970958 . _:b678849731 . _:b665793681 . _:b668716610 . _:b678849728 . _:b665793680 . _:b678849729 . _:b665793775 . _:b674348549 . _:b678849734 . _:b665793774 . _:b665970828 . _:b678849735 . _:b665793773 . _:b678849732 . _:b665793772 . _:b678849733 . _:b665793771 . _:b665970827 . _:b674348553 . _:b668716514 . _:b678849738 . _:b665793770 . _:b678849739 . _:b665793769 . _:b678849736 . _:b665793768 . _:b674016295 "per discussion with Barry Smith" . _:b678849737 . _:b665793767 . _:b678849742 . _:b665793766 . _:b674016431 . _:b678849743 . _:b665793765 . _:b674348595 . _:b678849740 . _:b665795473 . _:b665793764 . _:b678849741 . _:b665793763 . _:b674016300 "per discussion with Barry Smith" . _:b665970834 . _:b678849746 . _:b665793762 . _:b675160710 . _:b665970833 . _:b674348592 . _:b678849747 . _:b668378559 . _:b675160709 . _:b665793761 . _:b666092994 . _:b674348855 . _:b665970833 . _:b678849744 . _:b665793760 . _:b666093325 . _:b678849745 . _:b665793791 . _:b674016591 . _:b674348597 . _:b678849750 . _:b665793790 . _:b675160842 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b678849751 . _:b665793789 . _:b675160434 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b674348848 . _:b678849748 . _:b665793788 . _:b678849749 . _:b665793787 . _:b666093001 . _:b674348601 . _:b678849754 . _:b665793786 . _:b678849755 . _:b665793785 . _:b678849752 . _:b665793784 . _:b668716933 . _:b678849753 . _:b665793783 . _:b675160709 . _:b675160505 _:b675160514 . _:b678849758 . _:b665793782 . _:b665857333 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b678849759 . _:b665970798 . _:b665793781 . _:b665970799 . _:b678849756 . _:b665970789 . _:b665793780 . _:b675160710 . _:b674348578 . _:b678849757 . _:b665857330 . _:b665793779 . _:b678849762 . _:b665793778 . _:b665970768 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b674348576 . _:b678849763 . _:b665793777 . _:b674348583 . _:b678849760 . _:b665857329 . _:b665793776 . _:b674016505 . _:b678849761 . _:b665793743 . _:b668716940 . _:b678849766 . _:b665793742 . _:b675160819 . _:b665970812 . _:b678849767 . _:b665793741 . _:b675160822 . _:b678849764 . _:b665793740 . _:b675160508 _:b675160507 . _:b662810242 . _:b675160509 _:b675160508 . _:b665459309 "per discussion with Barry Smith" . _:b665970800 . _:b678849765 . _:b665793739 . _:b662810243 . _:b674348585 . _:b665970801 . _:b678849770 . _:b675160511 _:b675160510 . _:b665793738 . _:b675160817 . _:b662810240 . _:b665970808 . _:b678849771 . _:b675160497 _:b675160500 . _:b665970802 . _:b665793737 . _:b675160820 . _:b662810241 . _:b665459304 "per discussion with Barry Smith" . _:b675160510 _:b675160509 . _:b678849768 . _:b665793736 . _:b662810246 . _:b665177133 . _:b674348590 . _:b678849896 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b678849769 . _:b665793735 . _:b675160828 . _:b662810247 . _:b678849774 . _:b665793734 . _:b662810244 . _:b675160507 _:b675160506 . _:b678849775 . _:b665793733 . _:b662810245 . _:b678849772 . _:b665793732 . _:b675160831 . _:b662810250 . _:b678849773 . _:b665793731 . _:b675160824 . _:b663276313 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b662810251 . _:b678849778 . _:b665793730 . _:b675160500 _:b675160499 . _:b662810248 . _:b674016269 "per discussion with Barry Smith" . _:b668716507 . _:b678849779 . _:b665793729 . _:b675160826 . _:b662810249 . _:b678849776 . _:b665793728 . _:b662810254 . _:b678849777 . _:b665793759 . _:b675160804 . _:b662810255 . _:b678849782 . _:b665793758 . _:b662810252 . _:b675160499 _:b675160498 . _:b678849783 . _:b665793757 . _:b675160806 . _:b662810253 . _:b678849780 . _:b665793756 . _:b662810258 . _:b665970794 . _:b678849781 . _:b668716501 . _:b665793755 . _:b675160800 . _:b662810259 . _:b675160536 _:b675160539 . _:b665970795 . _:b678849786 . _:b665793754 . _:b675160532 _:b675160531 . _:b662810256 . _:b675160533 _:b675160532 . _:b678849787 . _:b665793753 . _:b662810257 . _:b668716886 . _:b678849784 . _:b665793752 . _:b662810262 . _:b675160530 _:b675160529 . _:b675160531 _:b675160530 . _:b678849785 . _:b665793751 . _:b662810263 . _:b675160518 _:b675160519 . _:b674348814 . _:b678849790 . _:b665793750 . _:b675160813 . _:b675160811 . _:b662810260 . _:b665970808 . _:b665459271 . _:b678849791 . _:b665793749 . _:b662810261 . _:b675160529 _:b675160528 . _:b665970809 . _:b678849788 . _:b665793748 . _:b675160815 . _:b662810266 . _:b678849789 . _:b665793747 . _:b662810267 . _:b675160523 _:b675160524 . _:b678849666 . _:b665793746 . _:b674348497 . _:b662810264 . _:b668716976 . _:b678849667 . _:b665793745 . _:b662810265 . _:b678849664 . _:b665793744 . _:b662810270 . _:b678849665 . _:b665793839 . _:b675160538 _:b675160537 . _:b675160512 _:b675160511 . _:b662810271 . _:b665795270 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b678849670 . _:b665793838 . _:b675160789 . _:b662810268 . _:b668716267 . _:b678849671 . _:b675160539 _:b675160538 . _:b665122514 . _:b665793837 . _:b662810269 . _:b674016282 "per discussion with Barry Smith" . _:b668716983 . _:b668716266 . _:b678849668 . _:b665793836 . _:b662810274 . _:b675160514 _:b675160513 . _:b678849669 . _:b665793835 . _:b662810275 . _:b665459278 "per discussion with Barry Smith" . _:b665970800 . _:b678849674 . _:b665793834 . _:b662810272 . _:b665459275 . _:b662809983 . _:b678849675 . _:b665857417 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665793833 . _:b662810273 . _:b675160513 _:b675160512 . _:b662809980 . _:b678849672 . _:b665793832 . _:b662810278 . _:b678849673 . _:b665793831 . _:b675160796 . _:b662810279 . _:b675160527 _:b675160533 . _:b678849678 . _:b665793830 . _:b662810276 . _:b675160522 _:b675160526 . _:b678849679 . _:b665793829 . _:b662810277 . _:b665970773 . _:b678849676 . _:b665793828 . _:b675160517 _:b675160521 . _:b662809709 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b675160520 _:b675160518 . _:b662810282 . _:b668716990 . _:b678849677 . _:b665793827 . _:b662810283 . _:b675160521 _:b675160520 . _:b678849682 . _:b665793826 . _:b662810280 . _:b668716589 . _:b678849683 . _:b665793825 . _:b662810281 . _:b678849680 . _:b665793824 . _:b665970737 . _:b662810286 . _:b678849681 . _:b665793855 . _:b675160770 . _:b665970736 . _:b662810287 . _:b678849686 . _:b665793854 . _:b665970739 . _:b662810284 . _:b668716279 . _:b675160525 _:b675160523 . _:b662809968 . _:b678849687 . _:b665793853 . _:b665970738 . _:b662810285 . _:b665856996 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b675160526 _:b675160525 . _:b678849684 . _:b665793852 . _:b675160552 _:b675160553 . _:b674016613 . _:b665970741 . _:b662810290 . _:b674348794 . _:b678849685 . _:b665793851 . _:b665970740 . _:b662810291 . . _:b678849690 . _:b668716759 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665793850 . _:b675160775 . _:b662810288 . _:b678849691 . _:b665793849 . _:b665970742 . _:b662810289 . _:b674348799 . _:b678849688 . _:b665793848 . _:b675160771 . _:b662810294 . _:b675160568 _:b675160567 . _:b678849689 . _:b665793847 . _:b662810295 . _:b675160569 _:b675160568 . _:b668716268 . _:b678849694 . _:b665793846 . _:b662810292 . _:b665459291 "per discussion with Barry Smith" . _:b678849695 . _:b665793845 . _:b675160782 . _:b675160566 _:b675160569 . _:b662810293 . _:b675160558 _:b675160559 . _:b678849692 . _:b665793844 . _:b662810298 . _:b668716265 . _:b678849693 . _:b665793843 . _:b675160776 . _:b662810299 . _:b665459537 . _:b678849698 . _:b665793842 . _:b662810296 . _:b668716283 . _:b675160768 . _:b678849699 . _:b665793841 . _:b662810297 . _:b675160561 _:b675160560 . _:b678849696 . _:b675160769 . _:b665793840 . _:b662810302 . _:b665121877 . _:b675160562 _:b675160561 . _:b665459538 . _:b665121862 . _:b678849697 . _:b665793807 . _:b662810303 . _:b665121874 . _:b674348773 . _:b665795819 . _:b678849702 . _:b665793806 . _:b662810300 . _:b678849703 . _:b665793805 . _:b662810301 . _:b678849700 . _:b665793804 . _:b675160555 _:b675160554 . _:b678849701 . _:b665793803 . _:b674016532 . _:b678849706 . _:b665793802 . _:b662810203 . _:b678849707 . _:b665857176 . _:b665793801 . _:b678849704 . _:b665793800 . _:b675160556 _:b675160555 . _:b674016501 . _:b678849705 . _:b665793799 . _:b665459126 . _:b665970743 . _:b678849710 . _:b665857181 . _:b665793798 . _:b674348780 . _:b678849711 . _:b665857180 . _:b665793797 . _:b678849708 . _:b665793796 . _:b665459125 . _:b678849709 . _:b665793795 . _:b678849714 . _:b665793794 . _:b674348282 . _:b665459123 . _:b675160565 _:b675160566 . _:b678849715 . _:b665793793 . _:b678849712 . _:b665793792 . _:b665970781 . _:b675160559 _:b675160562 . _:b674348276 . _:b675160553 _:b675160556 . _:b678849713 . _:b665793823 . _:b665970780 . _:b678849718 . _:b665793822 . _:b674348395 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b678849719 . _:b665793821 . _:b665970782 . _:b678849716 . _:b665122091 . _:b665970797 . _:b665793820 . _:b678849717 . _:b665857174 . _:b674348273 . _:b665970796 . _:b665793819 . _:b678849722 . _:b665793818 . _:b665970779 . _:b678849723 . _:b665793817 . _:b665459544 . _:b668716270 . _:b678849720 . _:b665793816 . _:b678849721 . _:b665793815 . _:b674348277 . _:b674016336 "per discussion with Barry Smith" . _:b665795621 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b678849726 . _:b665793814 . _:b678849727 . _:b665793813 . _:b674348257 . _:b665121883 . _:b678849724 . _:b665793812 . _:b674348444 . _:b678849725 . _:b665793811 . _:b674348265 . _:b678849858 . _:b665793810 . _:b674348258 . _:b678849859 . _:b665793809 . _:b678849856 . _:b665857187 . _:b665793808 . _:b678849857 . _:b665793903 . _:b674348269 . _:b665857086 . _:b678849862 . _:b665795550 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665793902 . _:b678849863 . _:b665793901 . _:b678849860 . _:b666092895 . _:b674348439 . _:b665793900 . _:b674348264 . _:b678849861 . _:b665793899 . _:b674348267 . _:b678849866 . _:b665793898 . _:b678849867 . _:b665793897 . _:b674348259 . _:b678849864 . _:b665793896 . _:b662810007 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b674348268 . _:b678849865 . _:b665793895 . _:b678849870 . _:b665793894 . _:b674348262 . _:b665122098 . _:b674348270 . _:b678849871 . _:b665793893 . _:b674348263 . _:b678849868 . _:b665793892 . _:b674348447 . _:b674348248 . _:b678849869 . _:b665793891 . _:b674348446 . _:b674348241 . _:b678849874 . _:b665793890 . _:b668378716 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b674348242 . _:b678849875 . _:b665793889 . _:b678849872 . _:b665793888 . _:b665459345 "per discussion with Barry Smith" . _:b678849873 . _:b665793919 . _:b665970774 . _:b678849878 . _:b665793918 . _:b678849879 . _:b665793917 . _:b674348255 . _:b674348247 . _:b678849876 . _:b665793916 . _:b678849877 . _:b665793915 . _:b674348249 . _:b662809738 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b678849882 . _:b665793914 . _:b678849883 . _:b665122523 . _:b665793913 . _:b668379001 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b678849880 . _:b665793912 . _:b678850193 . _:b678849881 . _:b665793911 . _:b665970782 . _:b668378868 . _:b678849886 . _:b665793910 . _:b665970781 . _:b674348254 . _:b678849887 . _:b665793909 . _:b678849884 . _:b665793908 . _:b678849885 . _:b665793907 . _:b678850207 . _:b665970778 . _:b678849890 . _:b665793906 . _:b665970777 . _:b668716669 . _:b678849891 . _:b665793905 . _:b665459168 . _:b678849888 . _:b665857219 . _:b665793904 . _:b662810037 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665970759 . _:b678850200 . _:b678849889 . _:b665793871 . _:b665970758 . _:b678849894 . _:b665793870 . _:b674348230 . _:b678849895 . _:b665793869 . _:b674348231 . _:b675160450 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b678849892 . _:b665793868 . _:b675160451 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b678849893 . _:b665793867 . _:b678849898 . _:b665793866 . _:b665970753 . _:b668716661 . _:b678849899 . _:b665793865 . _:b665459176 . _:b665970752 . _:b678849896 . _:b665793864 . _:b665970767 . _:b678849897 . _:b665793863 . _:b668716564 . _:b665970766 . _:b674348237 . _:b678849902 . _:b665793862 . _:b665970765 . _:b674348238 . _:b678849903 . _:b665793861 . _:b665970764 . _:b678849900 . _:b665793860 . _:b665970763 . _:b678849901 . _:b666092902 . _:b665793859 . _:b665970762 . _:b674348849 . _:b678849906 . _:b665793858 . _:b668716571 . _:b678849907 . _:b665793857 . _:b674348859 . _:b663277670 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665970760 . _:b678849904 . _:b666092907 . _:b674348860 . _:b665793856 . _:b668716687 . _:b678849905 . _:b665793887 . _:b665970806 . _:b674348853 . _:b668716997 . _:b678849910 . _:b665793886 . _:b665122057 . _:b678849911 . _:b665793885 . _:b674348863 . _:b665970804 . _:b666093112 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b678849908 . _:b665793884 . _:b674348848 . _:b665970937 . _:b678849909 . _:b665793883 . _:b665970802 . _:b678849914 . _:b665793882 . _:b665970939 . _:b674348858 . _:b665857380 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b678849915 . _:b665793881 . _:b662809885 . . _:b678849912 . _:b665793880 . _:b665970815 . _:b674016725 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b678849913 . _:b665793879 . _:b665970814 . _:b665793838 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665970761 . _:b678849918 . _:b665793878 . _:b674348854 . _:b665970943 . _:b665970762 . _:b678849919 . _:b665793877 . _:b674348855 . _:b678849916 . _:b665793876 . _:b665970811 . _:b665459309 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b678849917 . _:b665793875 . _:b674348841 . _:b674348833 . _:b678849794 . _:b665793874 . _:b665970809 . _:b678849795 . _:b666092824 . _:b665793873 . _:b665459136 . _:b678849792 . _:b665971334 . _:b674348844 . _:b665793872 . _:b665970791 . _:b678850000 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665459506 . _:b674016374 . _:b666093077 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b678849793 . _:b674016358 . _:b665793967 . _:b674348845 . _:b678849798 . _:b665793966 . _:b674348846 . _:b674016759 . _:b678849799 . _:b665793965 . _:b674348847 . _:b674016758 . _:b665970788 . _:b674016373 . _:b678849796 . _:b665793964 . _:b674348832 . _:b665970787 . _:b674348840 . _:b674016354 . _:b678849797 . _:b665793963 . _:b678849802 . _:b665793962 . _:b674348834 . _:b678849803 . _:b665793961 . _:b665970784 . _:b678849800 . _:b665793960 . _:b662810242 . _:b678849801 . _:b665793959 . _:b674348837 . _:b678849806 . _:b665793958 . _:b674348838 . _:b665970797 . _:b678849807 . _:b665793957 . _:b674348839 . _:b668716607 . _:b674016380 . _:b678849804 . _:b665793956 . _:b674348824 . _:b665970795 . _:b665459494 . _:b674016379 . _:b678849805 . _:b665793955 . _:b674348825 . _:b668716566 . _:b674016379 . _:b678849810 . _:b665793954 . _:b674348826 . _:b665970793 . _:b678849811 . _:b665793953 . _:b678849808 . _:b665793952 . _:b674348828 . _:b678849809 . _:b665793983 . _:b674016375 . _:b678849814 . _:b665793982 . _:b668379020 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b674348404 . _:b665176520 . _:b678849815 . _:b674016340 . _:b665793981 . _:b674348831 . _:b674348411 . _:b674016341 . _:b678849812 . _:b665793980 . _:b674348816 . _:b674016370 . _:b678849813 . _:b675160832 . _:b665793979 . _:b674348817 . _:b668379263 . _:b665122143 . _:b678849818 . _:b665793978 . _:b674348818 . _:b675160408 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b678849819 . _:b665793977 . _:b674348819 . _:b668379262 . _:b674348827 . _:b674016346 . _:b674348426 . _:b678849816 . _:b665793976 . _:b675160839 . _:b674348820 . _:b665459498 . _:b678849817 . _:b665793975 . _:b674348821 . _:b662810078 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b674016335 . _:b678849822 . _:b665793974 . _:b674348822 . _:b678849823 . _:b665793973 . _:b675160842 . _:b674348823 . _:b678849820 . _:b665793972 . _:b675160843 . _:b674348808 . _:b674348431 . _:b678849821 . _:b665793971 . _:b675160840 . _:b674348809 . _:b674348801 . _:b678849826 . _:b665793970 . _:b675160841 . _:b678849827 . _:b665793969 . _:b674348811 . _:b678849824 . _:b665793968 . _:b678849825 . _:b665793935 . _:b675160844 . _:b678849830 . _:b665793934 . _:b674348814 . _:b678849831 . _:b665793933 . _:b674348815 . _:b678849828 . _:b665793932 . _:b678849829 . _:b665793931 . _:b678849834 . _:b665793930 . _:b674348810 . _:b665122252 . _:b678849835 . _:b665793929 . _:b678849832 . _:b665793928 . _:b668716538 . _:b674016354 . _:b678849833 . _:b665793927 . _:b674016355 . _:b675160432 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b678849838 . _:b665793926 . _:b678849839 . _:b665793925 . _:b668716541 . _:b678849836 . _:b665793924 . _:b674348920 . _:b678849837 . _:b665793923 . _:b665122246 . _:b678849842 . _:b665793922 . _:b678849843 . _:b665793921 . _:b678849840 . _:b665793920 . _:b674348916 . _:b674016348 . _:b678849841 . _:b665793951 . _:b665970742 . _:b678849846 . _:b665793950 . _:b665970741 . _:b665122243 . _:b678849847 . _:b665793949 . _:b678849844 . _:b665793948 . _:b674348912 . _:b665795478 . _:b674016344 . _:b678849845 . _:b665793947 . _:b674016345 . _:b678849850 . _:b665793946 . _:b674016346 . _:b678849851 . _:b665793945 . _:b665795475 . _:b674016347 . _:b678849848 . _:b665793944 . _:b678849849 . _:b665793943 . _:b674348917 . _:b663277659 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b678849854 . _:b665857561 . _:b665793942 . _:b674348921 . _:b678849855 . _:b665793941 . _:b665970748 . _:b678849852 . _:b665793940 . _:b674348904 . _:b665970747 . _:b678849853 . _:b662809604 . _:b674348905 . _:b665793939 . _:b665970746 . _:b678849986 . _:b665793938 . _:b674348906 . _:b678849987 . _:b665793937 . _:b674348907 . _:b668379085 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b678849984 . _:b665793936 . _:b674348908 . _:b674348649 "per discussion with Barry Smith" . _:b678849985 . _:b665122127 . _:b674348909 . _:b665794031 . _:b668378732 . _:b678849990 . _:b665794030 . _:b674348541 _:b674348546 . _:b678849991 . _:b665794029 . _:b674348911 . _:b678849988 . _:b665794028 . _:b674348896 . _:b668716390 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b678849989 . _:b665794027 . _:b674348897 . _:b674348662 "per discussion with Barry Smith" . _:b678849994 . _:b665795642 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b674348898 . _:b665794026 . _:b678849995 . _:b665794025 . _:b674348899 . _:b674016289 . _:b678849992 . _:b665794024 . _:b674348900 . _:b678849993 . _:b665794023 . _:b674348901 . _:b674016288 . _:b665970734 . _:b674016319 . _:b678849998 . _:b665794022 . _:b674348902 . _:b665970733 . _:b674348910 . _:b668716542 . _:b678849999 . _:b665794021 . _:b674348903 . _:b665970732 . _:b663277634 . _:b678849996 . _:b665794020 . _:b674348888 . _:b665970731 . _:b663277635 . _:b678849997 . _:b665794019 . _:b674348889 . _:b663277632 . _:b678850002 . _:b665794018 . _:b674348890 . _:b663277633 . _:b678850003 . _:b665795181 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b674348891 . _:b665794017 . _:b663277638 . _:b678850000 . _:b665794016 . _:b674348892 . _:b663277639 . _:b678850001 . _:b665794047 . _:b674348893 . _:b663277636 . _:b678850006 . _:b665794046 . _:b674348894 . _:b663277637 . _:b678850007 . _:b665794045 . _:b674348895 . _:b663277642 . _:b678850004 . _:b665794044 . _:b674348880 . _:b663277643 . _:b678850005 . _:b665794043 . _:b674348881 . _:b666092698 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b663277640 . _:b678850010 . _:b665794042 . _:b674016343 . _:b663277641 . _:b678850011 . _:b665794041 . _:b674016342 . _:b663277646 . _:b678850008 . _:b665794040 . _:b674348884 . _:b663277647 . _:b678850009 . _:b665794039 . _:b674348885 . _:b663277644 . _:b665122009 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b678850014 . _:b665794038 . _:b674348886 . _:b663277645 . _:b668716609 . _:b668378979 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b678850015 . _:b665794037 . _:b674348887 . _:b663277650 . _:b678850012 . _:b665794036 . _:b674348872 . _:b663277651 . _:b678850013 . _:b665794035 . _:b674348873 . _:b674016375 . _:b663277648 . _:b678850018 . _:b665794034 . _:b674348874 . _:b663277649 . _:b678850019 . _:b665122387 . _:b674348875 . _:b665794033 . _:b663277654 . _:b665122149 . _:b678850016 . _:b665794032 . _:b674348876 . _:b674016378 . _:b663277655 . _:b663277817 . _:b678850017 . _:b665793999 . _:b674348877 . _:b663277652 . _:b678850022 . _:b665793998 . _:b674348878 . _:b674016283 . _:b674016376 . _:b663277653 . _:b668716628 . _:b678850023 . _:b665793997 . _:b674016282 . _:b674016377 . _:b663277658 . _:b665122432 . _:b678850020 . _:b665793996 . _:b674348864 . _:b674016285 . _:b663277659 . _:b678850021 . _:b665793995 . _:b674348865 . _:b674016284 . _:b663277656 . _:b678850026 . _:b665793994 . _:b674348866 . _:b674016287 . _:b663277657 . _:b678850027 . _:b665793993 . _:b674348867 . _:b674016286 . _:b663277662 . _:b678850024 . _:b665793992 . _:b674348868 . _:b663277663 . _:b678850025 . _:b665793991 . _:b674348869 . _:b663277660 . _:b678850030 . _:b665793990 . _:b674348870 . _:b663277661 . _:b668378640 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b678850031 . _:b665793989 . _:b674348871 . _:b674348879 . _:b663277666 . _:b678850028 . _:b665793988 . _:b663277667 . _:b678850029 . _:b665793987 . _:b674016328 . _:b663277664 . _:b678850034 . _:b665793986 . _:b663277665 . _:b678850035 . _:b665793985 . _:b663277670 . _:b678850032 . _:b665793984 . _:b674016325 . _:b674348412 _:b674348411 . _:b674348402 _:b674348405 . _:b663277671 . _:b674348413 _:b674348412 . _:b678850033 . _:b665794015 . _:b668716491 . _:b663277668 . _:b665970677 . _:b678850038 . _:b665794014 . _:b674348415 _:b674348414 . _:b674016327 . _:b663277669 . _:b678850039 . _:b665794013 . _:b666092803 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b674016326 . _:b663277674 . _:b678849989 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b674348414 _:b674348413 . _:b678850036 . _:b678849912 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665794012 . _:b663277675 . _:b668716614 . _:b678850037 . _:b665794011 . _:b663277672 . _:b678850042 . _:b665794010 . _:b663277673 . _:b678850043 . _:b665794009 . _:b662809638 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b663277678 . _:b678850040 . _:b665794008 . _:b674016343 . _:b663277679 . _:b678850041 . _:b665794007 . _:b663277676 . _:b668716621 . _:b674348404 _:b674348403 . _:b678850046 . _:b665794006 . _:b674016341 . _:b663277677 . _:b674348405 _:b674348404 . _:b668379288 . _:b668716355 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b678850047 . _:b665794005 . _:b678849631 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b663277682 . _:b674348716 "per discussion with Barry Smith" . _:b678850044 . _:b665794004 . _:b668379285 . _:b674016339 . _:b663277683 . _:b678850045 . _:b665794003 . _:b665971346 . _:b663277680 . _:b674348481 . _:b678849922 . _:b665794002 . _:b668379287 . "Yongqun (Oliver) He"@en . _:b674016337 . _:b663277681 . _:b668379284 . _:b678849923 . _:b665794001 . _:b668379286 . _:b663277686 . _:b674348487 . _:b665795630 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b678849920 . _:b665794000 . _:b662809861 . _:b663277687 . _:b678849921 . _:b665794095 . _:b668379280 . _:b674016350 . _:b663277684 . _:b678849926 . _:b665794094 . _:b668379283 . _:b663277685 . _:b678849927 . _:b665794093 . _:b674016348 . _:b663277690 . _:b668379281 . _:b678849924 . _:b665794092 . _:b665122503 . _:b663277691 . _:b678849925 . _:b665794091 . _:b668379276 . _:b663277688 . _:b678849930 . _:b665794090 . _:b668379279 . _:b663277689 . _:b678849931 . _:b665794089 . _:b668379278 . _:b665122476 . _:b675160490 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b663277694 . _:b668379277 . _:b678849928 . _:b665794088 . _:b668379273 . _:b674016327 . _:b663277695 . _:b668379274 . _:b678849929 . _:b665794087 . _:b668379272 . _:b663277692 . _:b678849934 . _:b665794086 . _:b663277693 . _:b674348492 . _:b678849935 . _:b665794085 . _:b674016324 . _:b665176913 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b678849932 . _:b665794084 . _:b668379269 . _:b674016323 . _:b668379270 . _:b678849933 . _:b665794083 . _:b678849938 . _:b665794082 . _:b668379271 . _:b678849939 . _:b665794081 . _:b663277665 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b674016320 . _:b665122231 . _:b678849936 . _:b665794080 . _:b665970839 . _:b668379265 . _:b678849937 . _:b665794111 . _:b668379264 . _:b674016334 . _:b668379267 . _:b678849942 . _:b665794110 . _:b674016333 . _:b678849943 . _:b665794109 . _:b668379266 . _:b665970836 . _:b678849940 . _:b665794108 . _:b662810171 . _:b678849941 . _:b665794107 . _:b665970834 . _:b674016330 . _:b678849946 . _:b665794106 . _:b678849947 . _:b665794105 . _:b665970832 . _:b674016328 . _:b678849944 . _:b665794104 . _:b678849945 . _:b665794103 . _:b674016374 . _:b678849950 . _:b665794102 . _:b674348675 "per discussion with Barry Smith" . _:b678849951 . _:b665794101 . . _:b674016372 . _:b663277586 . _:b678849948 . _:b665794100 . _:b663277587 . _:b678849949 . _:b665794099 . _:b674348513 . _:b678849954 . _:b665794098 . _:b665970841 . _:b674016369 . _:b678849955 . _:b665794097 . _:b674016368 . _:b674016638 "per discussion with Barry Smith" . _:b663277590 . _:b674348680 "per discussion with Barry Smith" . _:b678849952 . _:b665794096 . _:b665970823 . _:b663277591 . _:b678849953 . _:b665794063 . _:b665970822 . _:b674348930 . _:b674016382 . _:b663277588 . _:b668716704 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b678849958 . _:b665794062 . _:b665970821 . _:b663277589 . _:b678849959 . _:b665794061 . _:b674016380 . _:b663277594 . _:b665122426 . _:b678849956 . _:b665794060 . _:b662809666 . _:b663277595 . _:b678849957 . _:b665794059 . _:b662809667 . _:b674348410 _:b674348419 . _:b674016378 . _:b663277592 . _:b674348328 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b678849962 . . _:b665794058 . _:b665970817 . _:b674016377 . _:b662809664 . _:b663277593 . . _:b678849963 . . _:b665794057 . _:b662809665 . . _:b663277598 . . . _:b678849960 . . _:b665794056 . _:b665970831 . . _:b662809670 . _:b663277599 . . _:b678849961 . _:b665794055 . _:b662809671 . _:b663277596 . _:b678849966 . . _:b665794054 . _:b662809668 . _:b674016357 . _:b665459234 . _:b663277597 . _:b678849967 . _:b662809750 . _:b665794053 . . _:b665970828 . _:b662809669 . _:b663277602 . _:b678849964 . _:b662809749 . _:b665794052 . _:b662809674 . _:b674016355 . . _:b663277603 . _:b678849965 . _:b665794051 . _:b665970826 . _:b662809675 . _:b663277600 . _:b674348433 . _:b678849970 . _:b665794050 . _:b662809672 . _:b663277601 . _:b678850209 . _:b678849971 . _:b665794049 . _:b662809673 . _:b674016352 . _:b663277606 . _:b678849968 . _:b665459097 . _:b665794048 . _:b662809678 . _:b674016367 . _:b663277607 . _:b674348418 _:b674348417 . _:b678849969 . _:b665794079 . _:b674348419 _:b674348418 . _:b662809679 . _:b663277604 . _:b678849974 . _:b665794078 . _:b662809676 . _:b663277605 . _:b678849975 . _:b665794077 . _:b662809677 . _:b665458876 . _:b663277610 . _:b674348443 . _:b674348417 _:b674348416 . _:b665793860 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b675161057 . _:b678849972 . _:b665794076 . _:b662809682 . _:b674016363 . _:b663277611 . _:b678849973 . _:b665794075 . _:b662809683 . _:b663277608 . _:b678849978 . _:b663277657 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665794074 . _:b662809680 . _:b674016361 . . _:b663277609 . . _:b678849979 . _:b665794073 . _:b662809681 . _:b674016360 . _:b663277614 . _:b674348427 _:b674348431 . _:b678849976 . _:b665794072 . _:b662809686 . _:b674016279 . _:b663277615 . _:b678849977 . _:b665794071 . _:b662809687 . _:b674016278 . _:b663277612 . _:b674348425 _:b674348423 . _:b678849982 . _:b665794070 . _:b662809684 . _:b674016277 . _:b663277613 . _:b674348426 _:b674348425 . _:b678849983 . _:b665794069 . _:b662809685 . _:b663277618 . _:b674348422 _:b674348426 . _:b678849980 . _:b665794068 . _:b674348430 _:b674348428 . _:b662809690 . _:b663277619 . _:b678849981 . _:b665794067 . _:b662809691 . _:b663277616 . _:b668379185 . . _:b665794066 . _:b674348431 _:b674348430 . _:b662809688 . _:b663277617 . _:b665794065 . _:b662809689 . _:b663277622 . _:b665794064 . _:b662809694 . _:b674016287 . _:b663277623 . _:b674348441 _:b674348444 . _:b662809695 . _:b663277620 . _:b674348438 _:b674348437 . _:b662809791 . _:b662809692 . _:b674348436 _:b674348435 . _:b663277621 . _:b675160385 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b674348437 _:b674348436 . _:b662809693 . _:b663277626 . _:b662809698 . _:b663277627 . _:b674348434 _:b674348433 . _:b674348435 _:b674348434 . _:b662809699 . _:b663277624 . _:b674348425 . _:b665970841 . _:b662809696 . _:b663277625 . _:b674348423 _:b674348424 . _:b665970840 . _:b674016280 . _:b662809697 . _:b663277630 . _:b665459105 . _:b662809702 . _:b674348444 _:b674348443 . _:b663277631 . _:b674348430 . _:b662809951 . _:b678850188 . _:b662809703 . _:b663277628 . _:b665857379 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b674348432 _:b674348438 . _:b662809700 . _:b663277629 . _:b662809701 . _:b663277762 . _:b674016307 . _:b662809706 . _:b663277763 . _:b674348466 . _:b674348443 _:b674348442 . _:b674016308 . _:b662809707 . _:b674348428 _:b674348429 . _:b663277760 . _:b662809704 . _:b663277761 . _:b675161036 . _:b665794145 . _:b662809705 . _:b663277766 . _:b665794144 . _:b662809710 . _:b663277767 . _:b674016800 . _:b675160492 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b662809711 . _:b663277764 . _:b668378581 . _:b666093276 . _:b662809708 . . _:b663277765 . _:b662809709 . _:b663277770 . . _:b662809714 . _:b663277771 . _:b674348461 _:b674348460 . _:b662809715 . _:b663277768 . _:b674348473 . _:b662809712 . _:b663277769 . _:b678850202 . _:b662809713 . _:b668716429 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b663277774 . _:b674348460 _:b674348459 . _:b678849655 . _:b662809718 . _:b674016311 . _:b663277775 . _:b662809865 . _:b662809719 . _:b674016310 . _:b663277772 . _:b674348470 _:b674348471 . _:b665459007 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b662809716 . _:b674016309 . _:b663277773 . _:b662809717 . _:b674016308 . _:b663277778 . _:b662809722 . _:b675161050 . _:b663277779 . _:b678850195 . _:b662809723 . _:b674016306 . _:b663277776 . _:b662809720 . _:b674348458 _:b674348461 . _:b674016305 . . _:b663277777 . . _:b662809721 . _:b674016304 . _:b663277782 . _:b662809726 . _:b663277783 . _:b665794127 . _:b674348463 _:b674348464 . _:b662809727 . _:b663277780 . _:b674348457 _:b674348458 . _:b665794126 . _:b675161043 . _:b662809724 . _:b663277781 . _:b665794125 . _:b662809725 . _:b663277786 . . _:b674348464 _:b674348467 . _:b665794124 . _:b662809602 . _:b663277787 . _:b665794123 . _:b662809603 . _:b663277784 . _:b665794122 . _:b674348473 _:b674348472 . _:b662809600 . _:b674016313 . _:b663277785 . _:b674348471 _:b674348474 . _:b665122063 . _:b674348474 _:b674348473 . _:b665794121 . _:b662809601 . _:b674016312 . _:b663277790 . _:b668716978 . _:b665794120 . _:b662809606 . _:b668378632 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b663277791 . _:b665459452 . _:b665794119 . _:b662809607 . _:b674016294 . _:b663277788 . _:b665794118 . _:b662809604 . _:b674016293 . _:b663277789 . _:b674348460 . _:b665794117 . _:b662809605 . _:b674016292 . _:b663277794 . _:b675160826 . _:b665794116 . _:b662809610 . _:b663277795 . _:b678849921 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b675160827 . _:b665794115 . _:b674348467 _:b674348466 . _:b662809611 . _:b674348416 _:b674348415 . _:b663277792 . _:b665794114 . _:b662809608 . _:b663277793 . _:b665794113 . _:b662809609 . _:b674348466 _:b674348465 . _:b674016288 . _:b663277798 . _:b675160831 . _:b665794112 . _:b662809614 . _:b663277799 . _:b665794143 . _:b662809615 . _:b663277796 . _:b665795698 . _:b665794142 . _:b662809612 . _:b663277797 . _:b665794141 . _:b662809613 . _:b674348599 . _:b663277802 . _:b665794140 . _:b662809618 . _:b674348600 . _:b674016651 "per discussion with Barry Smith" . _:b674016299 . _:b663277803 . _:b665794139 . _:b662809619 . _:b674016298 . _:b663277800 . _:b665794138 . _:b662809616 . _:b665795636 . _:b663277801 . _:b665794137 . _:b675160807 . _:b662809617 . _:b663277806 . _:b665794136 . _:b675160806 . _:b663277734 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b662809622 . _:b663277807 . _:b665794135 . _:b662809623 . _:b663277804 . _:b674348510 _:b674348514 . _:b665794134 . _:b662809620 . _:b674348606 . _:b665458887 . _:b665122107 . _:b663277805 . _:b665794133 . _:b662809621 . _:b674348607 . _:b665795633 . _:b663277810 . _:b665794132 . _:b662809626 . _:b663277811 . _:b665794131 . _:b675160809 . _:b662809627 . _:b663277808 . _:b665794130 . _:b675160808 . _:b662809624 . _:b674016669 "per discussion with Barry Smith" . _:b665795644 . _:b663277809 . _:b665794129 . _:b662809625 . _:b675160814 . _:b665122515 . _:b663277814 . _:b665795643 . _:b665794128 . _:b662809630 . _:b665795646 . _:b663277815 . _:b674348482 _:b674348481 . _:b674348483 _:b674348482 . _:b662809631 . _:b674016664 "per discussion with Barry Smith" . _:b663277812 . _:b668716958 . _:b662809628 . _:b675160813 . _:b663277813 . _:b662809629 . _:b665795641 . _:b663277818 . _:b662809634 . _:b663277819 . _:b678849620 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b662809635 . _:b674348489 _:b674348493 . _:b663277816 . _:b678849529 . _:b662809632 . _:b663277817 . _:b662809633 . _:b663277822 . _:b674348487 _:b674348486 . _:b663277695 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b678849523 . _:b662809638 . _:b674348488 _:b674348485 . _:b665795622 . _:b663277823 . _:b674348484 _:b674348488 . _:b662809639 . _:b663277820 . _:b665857584 . _:b662809636 . _:b665795616 . _:b663277821 . _:b665857585 . _:b674348488 _:b674348487 . _:b662809637 . _:b663277698 . _:b662809973 . _:b665857586 . _:b665458901 . _:b662809642 . _:b663277699 . _:b678849520 . _:b674348493 _:b674348492 . _:b665857587 . _:b662809643 . _:b663277696 . _:b674348505 _:b674348506 . _:b662809640 . _:b663277697 . _:b674348493 _:b674348490 . _:b663277684 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b662809641 . _:b674348480 _:b674348483 . _:b663277702 . _:b674348492 _:b674348491 . _:b662809646 . _:b663277703 . _:b678849524 . _:b662809647 . _:b663277700 . _:b665793755 _:b665793756 . _:b665857576 . _:b674348561 . _:b662809644 . _:b665795624 . _:b663277701 . _:b665857577 . _:b662809645 . _:b665795631 . _:b663277706 . _:b665857578 . _:b662809650 . _:b663277707 . _:b678849512 . _:b665857579 . _:b662809651 . _:b663277704 . _:b662810058 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b674348405 . _:b678849505 . _:b665857545 . _:b665857580 . _:b662809648 . _:b663277705 . _:b662809649 . _:b663277710 . _:b665857582 . _:b665458905 . _:b662809654 . _:b663277711 . _:b678849516 . _:b665857583 . _:b662809655 . _:b665795607 . _:b663277708 . _:b665857549 . _:b665857568 . _:b665122248 . _:b662809652 . _:b665795600 . _:b663277709 . _:b665857569 . _:b662809653 . _:b663277714 . _:b665793755 _:b665793760 . _:b678849511 . _:b665857570 . _:b662809658 . _:b665795604 . _:b663277715 . _:b665795602 . _:b665122460 . _:b668716488 . _:b665793748 _:b665793753 . _:b665857550 . _:b665857571 . _:b662809659 . _:b665795605 . _:b663277712 . _:b665857572 . _:b662809656 . _:b663277713 . _:b678849506 . _:b665793748 _:b665793749 . _:b665857573 . _:b674348547 . _:b662809657 . _:b665795613 . _:b663277718 . _:b678849515 . _:b662809662 . _:b663277719 . _:b665857575 . _:b662809663 . _:b663277716 . _:b678849509 . _:b678849517 . _:b662809660 . _:b663277717 . _:b678849510 . . _:b662809661 . _:b665795609 . _:b663277722 . _:b665857543 . _:b678849833 . _:b662809794 . _:b663277723 . _:b665793762 _:b665793767 . _:b665793762 _:b665793763 . _:b665459422 . _:b674348514 _:b674348511 . _:b678849488 . _:b674348525 . _:b662809795 . _:b665795611 . _:b663277720 . _:b678849489 . _:b665857564 . _:b662809792 . _:b663277721 . _:b665857565 . _:b662809793 . _:b665795589 . _:b663277726 . _:b668716434 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665122154 . _:b674348548 . _:b674348513 _:b674348512 . _:b665857566 . _:b662809798 . _:b663277727 . _:b674348514 _:b674348513 . _:b665857567 . _:b675160681 . _:b662809799 . _:b665795591 . _:b663277724 . _:b665857552 . _:b662809796 . _:b674016705 "per discussion with Barry Smith" . _:b663277725 . _:b678849502 . _:b678849494 . _:b674348551 . _:b665857553 . _:b674348552 . _:b662809797 . _:b665795585 . _:b663277730 . _:b678849826 . _:b665857554 . _:b662809802 . _:b663277731 . _:b678849496 . _:b662809803 . _:b665793769 _:b665793770 . _:b665793769 _:b665793774 . _:b663277728 . _:b674348532 . _:b662809800 . _:b663277729 . _:b674016576 . _:b662809801 . _:b663277734 . _:b662809806 . _:b665795598 . _:b663277735 . _:b666093293 . _:b675160674 . _:b662809807 . _:b663277732 . _:b678849501 . _:b662809804 . _:b663277733 . _:b665857556 . _:b662809805 . _:b663277738 . _:b678849495 . _:b674016901 . _:b662809810 . _:b665795596 . _:b663277739 . _:b662809811 . _:b663277736 . _:b665459401 . _:b666093280 . _:b662809808 . _:b663277737 . _:b666093264 . _:b662809809 . _:b663277742 . _:b666093282 . _:b662809814 . _:b663277743 . _:b674348661 . _:b662809815 . _:b665122467 . _:b663277740 . _:b665177050 . _:b678849477 . _:b662809812 . _:b663277741 . _:b666093287 . _:b678849478 . _:b662809813 . _:b663277746 . _:b666093286 . _:b666093271 . _:b662809818 . _:b663277747 . _:b662809819 . _:b663277744 . _:b678849840 . _:b662809816 . _:b663277745 . _:b674348651 . _:b662809817 . _:b663277750 . _:b668378930 . _:b662809822 . _:b663277751 . _:b678849484 . _:b662809823 . _:b674348645 . _:b663277748 . _:b678849485 . _:b662809820 . _:b663277749 . _:b675160688 . _:b666093276 . _:b665795781 . _:b662809821 . _:b663277754 . _:b662809826 . _:b663277755 . . _:b662809827 . _:b663277752 . _:b674348642 . _:b662809824 . _:b663277753 . _:b662810107 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b662809825 . _:b663277758 . _:b662809830 . _:b663277759 . _:b662809831 . _:b663277756 . _:b674348646 . _:b662809828 . _:b663277757 . _:b662809829 . _:b663277890 . _:b674348632 . _:b662809834 . _:b674016387 . _:b663277891 . _:b662809835 . _:b663277888 . _:b674348634 . _:b662809832 . _:b674016385 . _:b663277889 . _:b662809833 . _:b674348627 . _:b663277894 . _:b662809838 . _:b663277895 . _:b662809839 . _:b663277892 . _:b674348638 . _:b665971157 . _:b662809836 . _:b663277893 . _:b665857588 . _:b665971156 . _:b662809837 . _:b663277898 . _:b674348624 . _:b662809842 . _:b663277899 . _:b678850024 . _:b662809843 . _:b674348633 . _:b663277896 . _:b665971153 . _:b678849819 . _:b662809840 . _:b663277897 . _:b665857359 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b662809841 . _:b663277902 . _:b674348628 . _:b662809846 . _:b663277903 . _:b674348449 . _:b665971166 . _:b674348637 . _:b662809847 . _:b665857362 . _:b663277900 . _:b665857363 . _:b665857360 . _:b665857361 . _:b665857366 . _:b662809844 . _:b663277901 . _:b665857367 . _:b665857364 . _:b665857365 . _:b674348631 . _:b665971164 . _:b674348639 . _:b662809845 . _:b665857370 . _:b663277906 . _:b675160667 . _:b665857371 . _:b665857368 . _:b665857369 . _:b665857374 . _:b662809850 . _:b663277907 . _:b665857375 . _:b665857372 . _:b662809892 . _:b674348617 . _:b665857373 . _:b665971162 . _:b662809851 . _:b665857346 . _:b663277904 . _:b665857347 . _:b665857344 . _:b665857345 . _:b665459257 . _:b665857350 . _:b674348610 . _:b662809848 . _:b663277905 . _:b668716460 . _:b665857351 . _:b665857348 . _:b665857349 . _:b665971160 . _:b674348611 . _:b662809849 . _:b665857354 . _:b663277910 . _:b665857355 . _:b665857352 . _:b665857353 . _:b665971143 . _:b662809854 . _:b665857358 . _:b663277911 . _:b665857359 . _:b665857356 . _:b665857357 . _:b665857394 . _:b662809855 . _:b663277908 . _:b665857395 . _:b665857392 . _:b665857393 . _:b665971200 . _:b662809852 . _:b665857398 . _:b663277909 . _:b665857399 . _:b665857396 . _:b665857397 . _:b665971201 . _:b662809853 . _:b665857402 . _:b663277914 . _:b665857403 . _:b665857400 . _:b665857401 . _:b665857406 . _:b674348616 . _:b674016387 . _:b662809730 . _:b663277915 . _:b665857407 . _:b665857404 . _:b665857405 . _:b665857378 . _:b674016386 . _:b662809731 . _:b663277912 . _:b665857379 . _:b665857376 . _:b665857377 . _:b665857382 . _:b674348618 . _:b662809728 . _:b663277913 . _:b665857383 . _:b665857380 . _:b665857381 . _:b665971136 . _:b662809729 . _:b665857386 . _:b665971306 . _:b663277918 . _:b665857387 . _:b665857384 . _:b665857385 . _:b665971151 . _:b662809734 . _:b665857390 . _:b663277919 . _:b665857391 . _:b665857388 . _:b665857389 . _:b665971150 . _:b662809735 . _:b665857298 . _:b665971308 . _:b663277916 . _:b665857299 . _:b665857296 . _:b665857297 . _:b665857302 . _:b665122323 . _:b662809732 . _:b665795648 . _:b665857303 . _:b663277917 . _:b665857300 . _:b665857301 . _:b665857306 . _:b674348623 . _:b662809733 . _:b663277922 . _:b674348243 . _:b665857307 . _:b665857304 . _:b668378646 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665857305 . _:b665971147 . _:b662809738 . _:b665857310 . _:b663277923 . _:b665857311 . _:b665857308 . _:b665857309 . _:b665971146 . _:b662809739 . _:b665857282 . _:b663277920 . _:b665857283 . _:b665857280 . _:b665857281 . _:b665857286 . _:b662809736 . _:b663277921 . _:b665857287 . _:b665857284 . _:b665857285 . _:b665857290 . _:b665122326 . _:b662809737 . _:b663277926 . _:b665857291 . _:b665857602 . _:b665857288 . _:b665857289 . _:b665971191 . _:b665122325 . _:b662809742 . _:b665857294 . _:b665857604 . _:b663277927 . _:b665857295 . _:b665857292 . _:b665857293 . _:b665971190 . _:b665122324 . _:b662809743 . _:b665857330 . _:b663277924 . _:b665857331 . _:b665857328 . _:b665857329 . _:b665857334 . _:b674348660 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b662809740 . _:b663277925 . _:b665122330 . _:b665857335 . _:b665458939 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665857332 . _:b665857333 . _:b665857338 . _:b662809741 . _:b663277930 . _:b665122331 . _:b665857339 . _:b665857336 . _:b665857337 . _:b665857342 . _:b662809746 . _:b663277931 . _:b674348250 . _:b665121938 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665857343 . _:b665857340 . _:b665857341 . _:b665971186 . _:b662809747 . _:b665857314 . _:b663277928 . _:b665857315 . _:b665857312 . _:b674016569 . _:b665857313 . _:b665857318 . _:b665793931 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b662809744 . _:b663277929 . _:b665857319 . _:b665857316 . _:b665857317 . _:b665971184 . _:b662809745 . _:b665857322 . _:b663277934 . _:b665857323 . _:b665857320 . _:b665857321 . _:b665857326 . _:b662809750 . _:b663277935 . _:b665857327 . _:b665857324 . _:b665857325 . _:b665857490 . _:b662809751 . _:b663277932 . _:b665857491 . _:b665857488 . _:b665857489 . _:b665971197 . _:b662809748 . _:b665857494 . _:b665857600 . _:b663277933 . _:b674348252 . _:b665857495 . _:b665857492 . _:b665857493 . _:b666092907 . _:b665857498 . _:b662809749 . _:b663277938 . _:b665857499 . _:b665857496 . _:b665857497 . _:b665971195 . _:b662809754 . _:b665857502 . _:b665971313 . _:b663277939 . _:b674348226 . _:b665857503 . _:b665857500 . _:b665857501 . _:b665971312 . _:b674016877 . _:b662809755 . _:b665857474 . _:b663277936 . _:b665857475 . _:b665857472 . _:b665857473 . _:b665857478 . _:b662809752 . _:b663277937 . _:b663277745 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665857479 . _:b665857476 . _:b665857477 . _:b665971192 . _:b662809753 . _:b665857482 . _:b663277942 . _:b665857483 . _:b665857480 . _:b668378727 . _:b665857481 . _:b665971175 . _:b662809758 . _:b665857486 . _:b663277943 . _:b665857487 . _:b665857484 . _:b674016562 . _:b668378726 . _:b665857485 . _:b665857522 . _:b662809759 . _:b663277940 . _:b665857523 . _:b665857520 . _:b668716384 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665857521 . _:b665971173 . _:b662809756 . _:b665857526 . _:b665795589 . _:b665971319 . _:b663277941 . _:b674348228 . _:b665857527 . _:b665857524 . _:b665857525 . _:b665857530 . _:b662809757 . _:b663277946 . _:b665857531 . _:b665857528 . _:b665857011 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665857529 . _:b665971171 . _:b662809762 . _:b665857534 . _:b663277947 . _:b665857535 . _:b665857532 . _:b665857533 . _:b665795590 . _:b662809763 . _:b665857506 . _:b663277944 . _:b665857507 . _:b665857504 . _:b665857505 . _:b665857510 . _:b662809760 . _:b663277945 . _:b674348232 . _:b665857511 . _:b665857508 . _:b665857509 . _:b675160470 . _:b665857514 . _:b662809761 . _:b665795609 . _:b674348239 . _:b665857515 . _:b663277950 . _:b665857512 . _:b674016555 . _:b665857513 . _:b675160471 . _:b665971183 . _:b665122238 . _:b662809766 . _:b665857518 . _:b665795610 . _:b665857519 . _:b663277951 . _:b665857516 . _:b665857517 . _:b665857426 . _:b662809767 . _:b663277948 . _:b665857427 . _:b665857424 . _:b665857425 . _:b665857430 . _:b662809764 . _:b663277949 . _:b665793469 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665857431 . _:b665857428 . _:b668379232 . _:b665857429 . _:b675160474 . _:b665971180 . _:b662809765 . _:b665857434 . _:b663277826 . _:b665857435 . _:b665857432 . _:b665857433 . _:b675160475 . _:b665857438 . _:b662809770 . _:b663277827 . _:b674348274 . _:b665857439 . _:b665857436 . _:b665857437 . _:b675160472 . _:b665971178 . _:b662809771 . _:b665857410 . _:b663277824 . _:b665857411 . _:b665857408 . _:b666093193 . _:b675160473 . _:b665857409 . _:b665857414 . _:b665122358 . _:b662809768 . _:b663277825 . _:b665857415 . _:b665857412 . _:b665857413 . _:b665857418 . _:b665122359 . _:b662809769 . _:b663277830 . _:b665857419 . _:b665857416 . _:b665857417 . _:b678849970 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665857422 . _:b665122356 . _:b662809774 . _:b663277831 . _:b674348278 . _:b665857423 . _:b665857420 . _:b665857421 . _:b665857458 . _:b665122357 . _:b662809775 . _:b663277828 . _:b665857459 . _:b665857456 . _:b665857457 . _:b665857462 . _:b662809772 . _:b663277829 . _:b665857463 . _:b665857460 . _:b665857461 . _:b665857466 . _:b662809773 . _:b663277834 . _:b665857467 . _:b665857464 . _:b665857465 . _:b665857470 . _:b665122360 . _:b662809778 . _:b663277835 . _:b665857471 . _:b665857468 . _:b665857469 . _:b665857442 . _:b665122361 . _:b665121869 . _:b662809779 . _:b663277832 . _:b665857443 . _:b665857440 . _:b665857441 . _:b665857446 . _:b662809776 . _:b663277833 . _:b665857447 . _:b665857444 . _:b665857445 . _:b665857450 . _:b662809777 . _:b663277838 . _:b665857451 . _:b665857448 . _:b665857449 . _:b665971103 . _:b662809782 . _:b665857454 . _:b663277839 . _:b665857455 . _:b665857452 . _:b665857453 . _:b665971102 . _:b662809783 . _:b665857106 . _:b665793947 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665857107 . _:b663277836 . _:b665857104 . _:b665857105 . _:b665971101 . _:b662809780 . _:b665857110 . _:b663277837 . _:b665857111 . _:b665857108 . _:b665857109 . _:b665971100 . _:b662809781 . _:b665857114 . _:b663277842 . _:b675160458 . _:b665857115 . _:b665857112 . _:b665857113 . _:b665857118 . _:b662809786 . _:b663277843 . _:b668716935 . _:b665857119 . _:b665857116 . _:b665857117 . _:b665857090 . _:b662809787 . _:b663277840 . _:b665857091 . _:b665857088 . _:b665857089 . _:b665857094 . _:b662809784 . _:b663277841 . _:b675160457 . _:b674348256 . _:b665857095 . _:b665857092 . _:b675160462 . _:b665857093 . _:b665857098 . _:b668378651 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665121879 . _:b662809785 . _:b663277846 . _:b665857099 . _:b665857096 . _:b675160463 . _:b665122343 . _:b665857097 . _:b666093363 . _:b665857102 . _:b668716914 . _:b662809790 . _:b663277847 . _:b665857103 . _:b665795618 . _:b665857100 . _:b665857101 . _:b665857138 . _:b662809791 . _:b663277844 . _:b665857139 . _:b665795619 . _:b665857136 . _:b665857137 . _:b665971351 . _:b662809788 . _:b665857142 . _:b663277845 . _:b674348260 . _:b665857143 . _:b665795620 . _:b665857140 . _:b665857141 . _:b665857146 . _:b668716917 . _:b662809789 . _:b663277850 . _:b665857147 . _:b665795621 . _:b665857144 . _:b665795622 . _:b665857145 . _:b665857150 . _:b662809922 . _:b663277851 . _:b674348266 . _:b665857151 . _:b665857148 . _:b665122344 . _:b665795623 . _:b665857149 . _:b665857122 . _:b662809923 . _:b663277848 . _:b665857123 . _:b665857120 . _:b665857121 . _:b665857126 . _:b662809920 . _:b663277849 . _:b665857127 . _:b665857124 . _:b665857125 . _:b665857130 . _:b662809921 . _:b665795642 . _:b674348271 . _:b665857131 . _:b663277854 . _:b665857128 . _:b665857129 . _:b665122348 . _:b665857134 . _:b666093370 . _:b662809926 . _:b665795641 . _:b665857135 . _:b663277855 . _:b665857132 . _:b665857133 . _:b665122349 . _:b665857042 . _:b662809927 . _:b663277852 . _:b665857043 . _:b665857040 . _:b665857041 . _:b665857046 . _:b662809924 . _:b665971130 . _:b665857047 . _:b663277853 . _:b665857044 . _:b665857045 . _:b665857050 . _:b662809925 . _:b665971131 . _:b665857051 . _:b663277858 . _:b665857048 . _:b665857049 . _:b674348792 . _:b665857054 . _:b662809930 . _:b663277859 . _:b665857055 . _:b665857052 . _:b665857053 . _:b674348793 . _:b665857026 . _:b662809931 . _:b663277856 . _:b665857027 . _:b665857024 . _:b665857025 . _:b665857030 . _:b662809928 . _:b663277857 . _:b665857031 . _:b665857028 . _:b665857029 . _:b665857034 . _:b662809929 . _:b663277862 . _:b665857035 . _:b665857032 . _:b665857033 . _:b665122018 . _:b665971127 . _:b662809934 . _:b665857038 . _:b663277863 . _:b665857039 . _:b665857036 . _:b665857037 . _:b674348797 . _:b665857074 . _:b674348240 _:b674348239 . _:b662809935 . _:b663277860 . _:b665857075 . _:b665857072 . _:b665857073 . _:b674348798 . _:b665857078 . _:b674348244 _:b674348243 . _:b662809932 . _:b663277861 . _:b665857079 . _:b665857076 . _:b665857077 . _:b665857082 . _:b674348791 . _:b662809933 . _:b668378560 . _:b665857083 . _:b663277866 . _:b665857080 . _:b665857081 . _:b665857086 . _:b662809938 . _:b663277867 . _:b665857087 . _:b665857084 . _:b665857085 . _:b665971122 . _:b662809939 . _:b665857058 . _:b663277864 . _:b665857059 . _:b665857056 . _:b665857057 . _:b665971121 . _:b674016344 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662809936 . _:b665857062 . _:b663277865 . _:b674348243 _:b674348242 . _:b665857063 . _:b665857060 . _:b665857061 . _:b665857066 . _:b674016345 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662809937 . _:b663277870 . _:b665857067 . _:b665857064 . _:b665857065 . _:b665971135 . _:b674348796 . _:b662809942 . _:b665857070 . _:b663277871 . _:b674348253 _:b674348252 . _:b665857071 . _:b665857068 . _:b665857069 . _:b674348789 . _:b665971134 . _:b674348254 _:b674348257 . _:b668716907 . _:b662809943 . _:b665857234 . _:b663277868 . _:b665857235 . _:b665857232 . _:b665857233 . _:b674348790 . _:b665971133 . _:b662809940 . _:b665857238 . _:b663277869 . _:b665857239 . _:b665857236 . _:b665857237 . _:b674348252 _:b674348248 . _:b674348241 _:b674348244 . _:b665971132 . _:b662809941 . _:b665857242 . _:b663277874 . _:b665857243 . _:b665857240 . _:b665857241 . _:b674348776 . _:b665971131 . _:b674348249 _:b674348251 . _:b668716910 . _:b662809946 . _:b665857246 . _:b665971203 . _:b665857247 . _:b663277875 . _:b665971202 . _:b665857244 . _:b665857245 . _:b674348777 . _:b665857218 . _:b662809947 . _:b665971202 . _:b665857219 . _:b663277872 . _:b665857216 . _:b665857217 . _:b674348778 . _:b665795774 . _:b665971129 . _:b662809944 . _:b665857222 . _:b663277873 . _:b665857223 . _:b665857220 . _:b665857221 . _:b674348251 _:b674348250 . _:b665971128 . _:b674348771 . _:b674348247 _:b674348253 . _:b662809945 . _:b665857226 . _:b663277878 . _:b665857227 . _:b665857224 . _:b665857225 . _:b665971111 . _:b662809950 . _:b665857230 . _:b663277879 . _:b665857231 . _:b665857228 . _:b665857229 . _:b674348227 _:b674348226 . _:b665971110 . _:b662809951 . _:b665857266 . _:b663277876 . _:b665857267 . _:b665857264 . _:b665857265 . _:b665857270 . _:b662809948 . _:b663277877 . _:b665857271 . _:b665857268 . _:b665857269 . _:b665857274 . _:b662809949 . _:b663277882 . _:b665857275 . _:b665857272 . _:b665857273 . _:b665857278 . _:b668716517 . _:b662809954 . _:b663277883 . _:b665857279 . _:b665857276 . _:b665857277 . _:b674348769 . _:b665857250 . _:b662809955 . _:b663277880 . _:b665857251 . _:b665857248 . _:b665857249 . _:b674348770 . _:b674348237 _:b674348240 . "Paolo Ciccarese"@en . _:b665857254 . _:b662809952 . _:b663277881 . _:b674348229 _:b674348228 . _:b665857255 . _:b665857272 . _:b665857252 . _:b665857253 . _:b665857258 . _:b674348779 . _:b662809953 . _:b663277886 . _:b665857259 . _:b665857256 . _:b665857257 . _:b674348772 . _:b668378928 . _:b665857262 . _:b662809958 . _:b662809691 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665857263 . _:b663277887 . _:b665857260 . _:b674348232 _:b674348231 . _:b665857273 . _:b665857261 . _:b665857170 . _:b662809959 . _:b663277884 . _:b674348233 _:b674348232 . _:b665857171 . _:b665857168 . _:b665857169 . _:b665971117 . _:b662809956 . _:b665857174 . _:b663277885 . _:b665857175 . _:b665857268 . _:b665857172 . _:b665857173 . _:b674348775 . _:b665971116 . _:b674348230 _:b674348233 . _:b662809957 . _:b665857178 . _:b665857179 . _:b665857271 . _:b665857176 . _:b665857177 . _:b665971115 . _:b674348248 _:b674348249 . _:b662809962 . _:b665857182 . _:b665857270 . _:b665857183 . _:b665857180 . _:b666093377 . _:b665857269 . _:b665857181 . _:b665857154 . _:b662809963 . _:b665795391 . _:b674348239 _:b674348238 . _:b665857155 . _:b665857265 . _:b665857152 . _:b665857266 . _:b665857153 . _:b665857158 . _:b662809960 . _:b665857159 . _:b665857264 . _:b665857156 . _:b665857157 . _:b674016613 . _:b665857162 . _:b662809961 . _:b665857163 . _:b665857160 . _:b665857161 . _:b665857166 . _:b662809966 . _:b665857167 . _:b674016894 . . _:b665857164 . _:b665857165 . _:b665857202 . _:b662809967 . _:b665857261 . _:b665857203 . _:b665857200 . _:b665857262 . _:b665857201 . _:b665857206 . _:b662809964 . _:b665857207 . _:b665857204 . _:b665857205 . _:b665857210 . _:b662809965 . _:b665857263 . _:b665857211 . _:b665857208 . _:b665857209 . _:b665857214 . _:b662809970 . _:b665857215 . _:b674348269 _:b674348270 . _:b665857212 . _:b665857213 . _:b665857186 . _:b662809971 . _:b665857187 . _:b665857257 . _:b665857184 . _:b665857185 . _:b665857190 . _:b662809968 . _:b665857256 . _:b665857191 . _:b665857188 . _:b674348276 _:b674348279 . _:b665857259 . _:b665857189 . _:b665857194 . _:b662809969 . _:b665857195 . _:b665793468 . _:b665857192 . _:b665857193 . _:b674348279 _:b674348278 . _:b665857198 . _:b662809974 . _:b665857258 . _:b665793469 . _:b665857199 . _:b665857196 . _:b665857197 . _:b662809975 . _:b674348275 _:b674348269 . _:b674348272 _:b674348271 . _:b665793470 . _:b662809972 . _:b674348278 _:b674348277 . _:b665793471 . _:b668379198 . . _:b665857255 . _:b662809973 . _:b668379199 . _:b665857252 . _:b662809978 . _:b665857254 . _:b663277664 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665793465 . _:b668379015 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b674348275 _:b674348274 . _:b662809979 . _:b665857249 . _:b665793466 . _:b662809976 . _:b665793467 . _:b674348263 _:b674348264 . _:b662809977 . _:b674348274 _:b674348273 . _:b665857251 . _:b665857248 . _:b662809982 . _:b665857250 . _:b662809983 . _:b674348266 _:b674348265 . _:b665793462 . _:b674348270 _:b674348272 . _:b662809980 . _:b665793463 . _:b668716557 . _:b674348267 _:b674348266 . _:b662809981 . _:b665857247 . _:b662809858 . _:b674348258 _:b674348261 . _:b662809859 . _:b662809856 . _:b674348256 _:b674348255 . _:b662809857 . _:b665793562 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b662809862 . _:b665793578 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665458921 "per discussion with Barry Smith" . _:b662809863 . _:b662809860 . _:b662809861 . _:b674348257 _:b674348256 . _:b662809866 . _:b662809867 . _:b665458934 "per discussion with Barry Smith" . _:b674016874 . _:b674348264 _:b674348267 . _:b674348260 _:b674348259 . _:b662809864 . _:b674348261 _:b674348260 . _:b662809865 . _:b674348268 _:b674348275 . _:b662809870 . _:b678849543 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b674348866 . _:b662809871 . _:b668378869 . _:b662809868 . _:b662809869 . _:b662809874 . _:b668379160 . _:b674016593 . _:b662809875 . _:b662809834 . _:b662809872 . _:b662809873 . _:b668716574 . _:b662809878 . _:b662809879 . _:b674016726 . _:b662809876 . _:b665458939 "per discussion with Barry Smith" . _:b662809877 . _:b674016724 . _:b668379167 . _:b662809882 . _:b662809883 . _:b662809880 . _:b674016721 . _:b668379154 . _:b662809881 . _:b665793428 . _:b662809886 . _:b668378734 . _:b662809887 . _:b662809884 . _:b662809885 . _:b674016732 . _:b662809890 . _:b674016326 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b662809891 . _:b674016730 . _:b662809888 . _:b674016729 . _:b665793427 . _:b665795530 . _:b668379146 . _:b665857341 . _:b662809889 . _:b668379147 . _:b662809894 . _:b668378672 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b678849738 . _:b668379148 . _:b662809895 . _:b674016710 . _:b665795529 . _:b662809892 . _:b662809893 . _:b674016708 . _:b663277954 . _:b662809898 . _:b663277955 . _:b665857331 . _:b662809899 . _:b674016706 . _:b663277952 . _:b662809896 . _:b663277953 . _:b668378768 . _:b662809897 . _:b662809902 . _:b674016719 . _:b662809903 . _:b668379141 . _:b662809900 . _:b674016717 . _:b662809901 . _:b674016756 . _:b665458908 "per discussion with Barry Smith" . _:b663277677 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b662809906 . _:b674016755 . _:b662809943 . _:b662809907 . _:b674016695 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b662809904 . _:b662809905 . _:b674016870 . _:b674016712 . _:b665793532 . _:b662809910 . _:b665793533 . _:b665857618 . _:b662809911 . _:b665857619 . _:b665793534 . _:b665857616 . _:b665857617 . _:b665857312 . _:b662809908 . _:b665857622 . _:b665857623 . _:b665793535 . _:b665857620 . _:b665857621 . _:b665857626 . _:b674016756 . _:b662809909 . _:b665857627 . _:b665793528 . _:b665857624 . _:b665857625 . _:b665857630 . _:b662809914 . _:b665857631 . _:b665793529 . _:b665857628 . _:b665857629 . _:b665857602 . _:b674016754 . _:b662809915 . _:b665857603 . _:b665793530 . _:b665857600 . _:b665857601 . _:b665857606 . _:b662809912 . _:b665857607 . _:b668716335 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665793491 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665793531 . _:b665857604 . _:b665857605 . _:b665857610 . _:b662809913 . _:b665857611 . _:b665793524 . _:b665857608 . _:b665857609 . _:b665857614 . _:b662809918 . _:b665857615 . _:b665795625 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665793525 . _:b665857612 . _:b668716569 . _:b665857613 . _:b662809919 . _:b665793526 . _:b662809916 . _:b665793527 . _:b662809917 . _:b665793520 . _:b662810050 . _:b665793521 . _:b665857634 . _:b662810051 . _:b665857635 . _:b665793522 . _:b665857632 . _:b665857633 . _:b665857638 . _:b662810048 . _:b665857639 . _:b665793523 . _:b665857636 . _:b665857637 . _:b665857642 . _:b662810049 . _:b665857643 . _:b665793516 . _:b665857640 . _:b665857641 . _:b662810054 . _:b674016743 . _:b665793517 . _:b665857311 . _:b662810055 . _:b665857554 . _:b665857555 . _:b665793518 . _:b665857552 . _:b665857553 . _:b665857558 . _:b674016741 . _:b662810052 . _:b665857559 . _:b665793519 . _:b665857556 . _:b668379246 . _:b665857557 . _:b665857562 . _:b662810053 . _:b662810293 . _:b665793512 . _:b665857563 . _:b665857560 . _:b665857561 . _:b665857566 . _:b662810058 . _:b665857567 . _:b665793513 . _:b665857564 . _:b668379250 . _:b668379232 . _:b665857565 . _:b665857293 . _:b674016738 . _:b662810059 . _:b665857538 . _:b665857539 . _:b665793514 . _:b665857536 . _:b668379233 . _:b665857537 . _:b665857542 . _:b674016737 . _:b662810056 . _:b665857543 . _:b665793515 . _:b665857540 . _:b665857541 . _:b665857546 . _:b674016736 . _:b662810057 . _:b665857547 . _:b665793508 . _:b665857544 . _:b665857545 . _:b668379248 . _:b665857550 . _:b674016751 . _:b662810062 . _:b665857551 . _:b665793509 . _:b665857548 . _:b665857549 . _:b665857289 . _:b662810063 . _:b665857586 . _:b662810060 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665793510 . _:b665857587 . _:b665857584 . _:b665857585 . _:b665857590 . _:b674016749 . _:b662810060 . _:b665857591 . _:b665793511 . _:b665857588 . _:b665857589 . _:b665857594 . _:b662810061 . _:b665857595 . _:b674348929 _:b674348928 . _:b665793504 . _:b665857592 . _:b665857593 . _:b665857598 . _:b674016747 . _:b662810066 . _:b662810300 . _:b665793505 . _:b665857599 . _:b665857596 . _:b668379224 . _:b665857443 . _:b665857597 . _:b665857570 . _:b674016746 . _:b662810067 . _:b665857571 . _:b665793506 . _:b665857568 . _:b674348934 _:b674348933 . _:b668379225 . _:b665857569 . _:b665857574 . _:b674348932 _:b674348931 . _:b662810064 . _:b665857575 . _:b674348933 _:b674348932 . _:b665793507 . _:b665857572 . _:b668379226 . _:b665857573 . _:b674348808 . _:b665857578 . _:b662810065 . _:b665857579 . _:b665793500 . _:b665857576 . _:b665857577 . _:b674348936 _:b674348938 . _:b665857582 . _:b674016663 . _:b662810070 . _:b665857583 . _:b665793501 . _:b665857580 . _:b668379228 . _:b665857581 . _:b662810071 . _:b674016662 . _:b665793502 . _:b668379229 . _:b674348943 _:b674348945 . _:b674348938 _:b674348939 . _:b662810119 . _:b674348943 _:b674348944 . _:b662810068 . _:b674016661 . _:b665793503 . _:b668379230 . _:b662810118 . _:b662810069 . _:b674348936 _:b674348937 . _:b665793496 . _:b668379231 . _:b674348815 . _:b662810074 . _:b665793497 . _:b674016676 . _:b668379216 . _:b662810075 . _:b665793498 . _:b674348930 _:b674348934 . _:b674016677 . _:b668379217 . _:b662810072 . _:b674348940 _:b674348941 . _:b674016657 . _:b665793499 . _:b668379218 . _:b674348816 . _:b662810073 . _:b674016656 . _:b665793492 . _:b668379219 . _:b662810078 . _:b665793493 . _:b662810079 . _:b665176442 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665793494 . _:b668379221 . _:b662810076 . _:b663277766 . _:b665793495 . _:b674348950 _:b674348952 . _:b668379222 . _:b674348950 _:b674348951 . _:b662810077 . _:b674016668 . _:b665793488 . _:b668379223 . _:b662810082 . _:b674016714 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674016667 . _:b665793489 . _:b674348945 _:b674348946 . _:b662810083 . _:b665793490 . _:b674348959 _:b674348960 . _:b662810080 . _:b663277787 . _:b662810286 . _:b665793491 . _:b668379210 . _:b674348947 _:b674348948 . _:b662810081 . _:b674016713 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b668716925 . _:b665793559 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665793484 . _:b668379211 . _:b662810086 . _:b674348957 _:b674348959 . _:b674016647 . _:b665793485 . _:b668379212 . _:b662810160 . _:b662810087 . _:b674016646 . _:b665793486 . _:b668379213 . _:b662810084 . _:b665793487 . _:b668379214 . _:b678849846 . _:b662810085 . _:b665793480 . _:b674348957 _:b674348958 . _:b668379215 . _:b678849847 . _:b662810090 . _:b663276472 . _:b665793481 . _:b668379200 . _:b675160425 . _:b674348813 . _:b662810091 . _:b665793482 . _:b668716903 . _:b674348954 _:b674348955 . _:b675160426 . _:b662810088 . _:b665793483 . _:b662810089 . _:b674348952 _:b674348953 . _:b668716545 . _:b665793476 . _:b662810094 . _:b665793477 . _:b662810095 . _:b665857366 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665793478 . _:b675160387 . _:b678849853 . _:b662810092 . _:b668716548 . _:b665793479 . _:b668378561 . _:b678849854 . _:b662810093 . _:b665793472 . _:b665176909 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b662810098 . _:b665793473 . _:b662810099 . _:b662810096 . _:b674016649 . _:b665793475 . _:b665458975 "per discussion with Barry Smith" . _:b662810097 . _:b674016648 . _:b665795644 . _:b662810102 . _:b665795645 . _:b674348961 _:b674348962 . _:b662810103 . _:b665795646 . _:b668379156 . _:b662810100 . _:b674016693 . _:b665795647 . _:b662810101 . _:b674016692 . _:b665795640 . _:b665177007 . _:b662810106 . _:b665795641 . _:b662810107 . _:b665795642 . _:b662810104 . _:b674016689 . _:b665795643 . _:b662810105 . _:b663277792 . _:b665795636 . _:b668379162 . _:b662810110 . _:b674016703 . _:b665795637 . _:b668378950 . _:b668379150 . _:b662810111 . _:b674016702 . _:b665795638 . _:b665177001 . _:b662810108 . _:b665795639 . _:b665857574 . "Philippe Rocca-Serra"@en . _:b662810109 . _:b665795632 . _:b665857523 . _:b674348383 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674016699 . _:b662809986 . _:b665857504 . _:b665795633 . _:b662809987 . _:b665795634 . _:b662809984 . _:b674016697 . _:b665795635 . _:b675160439 . _:b662809985 . _:b674016696 . _:b665176859 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665795628 . _:b665857581 . _:b675160438 . _:b662809990 . _:b674016679 . _:b665795629 . _:b675160437 . _:b662809991 . _:b674016678 . _:b665795630 . _:b662809988 . _:b674016677 . _:b665795631 . _:b662809989 . _:b665795624 . _:b668378842 . _:b678849808 . _:b665459354 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662809994 . _:b674016675 . _:b665795625 . _:b662809995 . _:b674348928 _:b674348927 . _:b674016674 . _:b665795626 . _:b675160440 . _:b662809992 . _:b674016673 . _:b665795627 . _:b665459353 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662809993 . _:b665795620 . _:b668379167 . _:b662809998 . _:b665795621 . _:b662809999 . _:b675160444 . _:b665795622 . _:b668379103 . _:b662809996 . _:b675160445 . _:b665795623 . _:b665177014 . _:b662809997 . _:b665857521 . _:b665795616 . _:b666092774 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b662810002 . _:b665795617 . _:b678849799 . _:b662810003 . _:b674016682 . _:b665795618 . _:b662810000 . _:b674016681 . _:b665795619 . _:b678849794 . _:b662810001 . _:b674016680 . _:b665795612 . _:b662810006 . _:b665795613 . _:b665857510 . _:b662810007 . _:b665795614 . _:b662809873 . _:b662810004 . _:b665795615 . _:b668716793 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b662810005 . _:b665795608 . _:b678849885 . _:b662810010 . _:b665795609 . _:b662810011 . _:b665795610 . _:b678849552 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b662810008 . _:b666093159 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665795611 . _:b665857516 . _:b662810009 . _:b665795604 . _:b678849795 . _:b662810014 . _:b665795605 . _:b665459357 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b662810015 . _:b665795606 . _:b662810012 . _:b665795607 . _:b678849798 . _:b662810013 . _:b665795600 . _:b662810018 . _:b665795601 . _:b668379169 . _:b662810019 . _:b665795602 . _:b662810016 . _:b665795603 . _:b665857469 . _:b675160777 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b662810017 . _:b665795596 . _:b665857470 . _:b668716943 . _:b662810022 . _:b665795597 . _:b662810023 . _:b665971261 . _:b665795598 . _:b668716859 . _:b662810020 . _:b665795599 . _:b668379195 . _:b662810021 . _:b665795592 . _:b662810026 . _:b665795593 . _:b662810027 . _:b665795594 . _:b668379196 . _:b662810024 . _:b665795595 . _:b662810025 . _:b665795588 . _:b662810030 . _:b665795589 . _:b678849908 . _:b662810031 . _:b665795590 . _:b662810028 . _:b665795591 . _:b662810029 . _:b665795584 . _:b665857452 . _:b662810034 . _:b665795585 . _:b668379189 . _:b662810035 . _:b665795586 . _:b662810032 . _:b665795587 . _:b678849898 . _:b666092743 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b668379191 . _:b662810033 . _:b662810038 . _:b678849892 . _:b662810039 . _:b662810307 . _:b665857460 . _:b662810036 . _:b662810037 . _:b662810042 . _:b662810043 . _:b678849889 . _:b665857462 . _:b662810040 . _:b662810041 . _:b662810046 . _:b662810047 . _:b678849893 . _:b674348800 . _:b662810044 . _:b662810045 . _:b665857329 . _:b668379202 . _:b678849881 . _:b678849874 . _:b662809689 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b678849885 . _:b665857027 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b662810261 . _:b678849880 . _:b678849875 . _:b668716938 . _:b678849884 . _:b674348842 _:b674348841 . _:b668716714 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b678849878 . _:b678849886 . _:b674348843 _:b674348842 . _:b662809917 . _:b678849879 . _:b665795342 . _:b678849864 . _:b668378838 . _:b678849857 . _:b678849858 . _:b674348833 _:b674348836 . _:b674348835 _:b674348834 . _:b678849871 . _:b678849863 . _:b674348840 _:b674348843 . _:b678849865 . _:b674348836 _:b674348835 . _:b674348862 _:b674348859 . _:b678849870 . _:b674348861 _:b674348860 . _:b674348849 _:b674348852 . _:b674348862 _:b674348861 . _:b668379234 . _:b674348853 _:b674348857 . _:b674348856 _:b674348855 . _:b665856990 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b674348857 _:b674348856 . _:b674348857 _:b674348854 . _:b666093067 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b668379096 . _:b665795355 . _:b674348832 _:b674348833 . _:b674348852 _:b674348851 . _:b674348858 _:b674348862 . _:b665857521 . _:b674348851 _:b674348850 . _:b665795348 . _:b674348839 _:b674348840 . _:b668379095 . _:b674348280 "per discussion with Barry Smith" . _:b674348803 _:b674348802 . _:b665795648 . _:b665857514 . _:b674348807 _:b674348806 . _:b665971337 . _:b674348806 _:b674348805 . _:b668378923 . _:b674348804 _:b674348803 . _:b674348810 _:b674348813 . _:b674348805 _:b674348804 . _:b668378922 . _:b674016638 . _:b674016639 . _:b668716911 . _:b665793928 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b674348813 _:b674348812 . _:b665176582 . _:b665857508 . _:b665971344 . _:b674348826 _:b674348827 . _:b674348801 _:b674348807 . _:b674348812 _:b674348811 . _:b674348752 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674348827 _:b674348830 . _:b668378935 . _:b665857500 . _:b666092646 . _:b678849491 _:b678849490 . . _:b665857501 . _:b665857502 . _:b678849490 _:b678849489 . _:b666092643 . _:b678849500 _:b678849499 . _:b674348829 _:b674348828 . _:b678849503 _:b678849502 . _:b668378610 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b678849501 _:b678849504 . _:b674348830 _:b674348829 . _:b674016508 . _:b678849488 _:b678849491 . _:b668378816 . _:b678849496 _:b678849498 . _:b678850015 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . . _:b678849494 _:b678849500 . _:b674348924 _:b674348923 . _:b674348925 _:b674348924 . _:b678849498 _:b678849497 . _:b665857495 . _:b678849499 _:b678849495 . _:b668378939 . _:b668716489 . _:b674348927 _:b674348926 . _:b678849474 _:b678849473 . _:b678849484 _:b678849487 . _:b674348926 _:b674348925 . _:b674348697 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b678849495 _:b678849496 . _:b674348916 _:b674348919 . _:b674348923 _:b674348922 . _:b674348919 _:b674348918 . _:b678849476 _:b678849475 . _:b674016531 . _:b674348914 _:b674348911 . _:b665856978 . _:b678849479 _:b678849478 . _:b665856979 . _:b665857478 . _:b678849477 _:b678849480 . _:b665856976 . _:b665856977 . _:b665856982 . _:b674348918 _:b674348917 . _:b665856983 . _:b665856980 . _:b665856981 . _:b665856986 . _:b665856987 . _:b665856984 . _:b665856985 . _:b674348913 _:b674348912 . _:b665856990 . _:b665856991 . _:b665856988 . _:b674348914 _:b674348913 . _:b665857477 . _:b678849601 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b678849480 _:b678849479 . _:b674348915 _:b674348914 . _:b665856989 . _:b665856962 . _:b665856963 . _:b665856960 . _:b665856961 . _:b678849486 _:b678849485 . _:b665856966 . _:b665856967 . _:b665856964 . _:b665856965 . _:b665856970 . _:b665856971 . _:b665122281 . _:b678849487 _:b678849486 . _:b668378881 . _:b665856968 . _:b665857472 . _:b665856969 . _:b665856974 . _:b665856975 . _:b665857473 . _:b665856972 . _:b665856973 . _:b663277752 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665857010 . _:b665857011 . _:b665857008 . _:b665857009 . _:b665857014 . _:b665857015 . _:b665857012 . _:b665857013 . _:b665857018 . _:b678849523 _:b678849526 . _:b665857019 . _:b665857016 . _:b665857017 . _:b665857022 . _:b665857152 . _:b678850040 . _:b665857023 . _:b665857020 . _:b665857021 . _:b665856994 . _:b665856995 . _:b665856992 . _:b674348750 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665856993 . _:b665856998 . _:b665856999 . _:b665857083 . _:b665856996 . _:b665856997 . _:b678849516 _:b678849517 . _:b665857002 . _:b665857003 . _:b665857000 . . _:b665857001 . _:b665857006 . _:b665857007 . _:b678850044 . _:b665857004 . _:b666092882 . _:b665857005 . _:b665122374 . _:b665856914 . _:b665856915 . _:b678850045 . _:b665856912 . _:b678849522 _:b678849516 . _:b665122275 . _:b665856913 . _:b665856918 . _:b662809938 . _:b665856919 . . _:b665856916 . _:b678850038 . _:b678849525 _:b678849524 . . _:b665856917 . _:b665122274 . _:b665122372 . _:b665856922 . _:b665856923 . _:b678849526 _:b678849525 . _:b665856920 . _:b665122277 . _:b665856921 . _:b665856926 . _:b665856927 . _:b665856924 . _:b665122276 . _:b665856925 . _:b665122370 . _:b674348800 _:b674348799 . _:b666093195 . _:b675160858 "requested by Melanie Courtot" . _:b674348910 _:b674348915 . _:b678849521 _:b678849520 . _:b665122279 . _:b665122369 . _:b678849522 _:b678849521 . _:b665121974 . _:b665122278 . _:b665856906 . _:b666093245 . _:b665856907 . _:b678849510 _:b678849511 . _:b665121975 . _:b678850043 . _:b665856910 . _:b665856911 . _:b678850036 . _:b665856908 . _:b665122280 . _:b665856909 . _:b665856946 . _:b665856947 . _:b678850037 . _:b665856944 . _:b665856945 . _:b665856950 . _:b665856951 . _:b665856948 . _:b674348347 "per discussion with Barry Smith" . _:b665856949 . _:b665121979 . _:b665856954 . _:b668716459 . _:b665856955 . _:b678850039 . _:b665856952 . _:b678849513 _:b678849512 . _:b665856953 . _:b665122379 . _:b678849511 _:b678849514 . _:b665856958 . _:b665856959 . _:b678850024 . _:b678849514 _:b678849513 . _:b665856956 . _:b674348293 "per discussion with Barry Smith" . _:b665856957 . _:b674348883 _:b674348882 . _:b665857154 . _:b665856930 . _:b665856931 . _:b678850025 . _:b675160754 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b668379089 . _:b665856928 . _:b668716926 . _:b665856929 . _:b674348883 _:b674348880 . _:b665122377 . _:b665856934 . _:b665856935 . _:b665856932 . _:b678850018 . _:b665856933 . _:b678849517 _:b678849519 . _:b678849504 _:b678849503 . _:b665122312 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665856938 . _:b674348882 _:b674348881 . _:b665856939 . _:b665856936 . _:b678849519 _:b678849518 . _:b665856937 . _:b665121980 . _:b665856942 . _:b668716556 . _:b665856943 . _:b665856940 . _:b678849505 _:b678849508 . _:b665856941 . _:b665121955 . _:b678849515 _:b678849522 . _:b674348874 _:b674348875 . _:b665121954 . _:b665122379 . _:b678849507 _:b678849506 . _:b662809924 . _:b678850016 . _:b665122378 . _:b678850017 . _:b678850026 . _:b678850019 . _:b678849508 _:b678849507 . _:b665121957 . _:b665121956 . _:b662809931 . _:b665121962 . _:b678850022 . _:b678850015 . _:b678850023 . _:b674348879 _:b674348883 . _:b665121961 . _:b674348311 "per discussion with Barry Smith" . _:b674348921 _:b674348929 . _:b668378987 . _:b674348306 "per discussion with Barry Smith" . _:b674348761 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b668378977 . _:b668378862 . _:b668716487 . _:b665122326 . _:b665122325 . _:b665121987 . _:b674016707 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665122322 . _:b674016244 . _:b665121990 . _:b665122320 . _:b668716345 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665121991 . _:b665856910 _:b665856913 . _:b665122335 . _:b665121988 . _:b668379226 . _:b665121989 . _:b668378817 . _:b665122333 . _:b665857145 . _:b662809802 . _:b665122331 . _:b665121992 . _:b665856907 _:b665856906 . _:b678850129 . _:b665122329 . _:b663277817 "1"^^ . _:b665856909 _:b665856908 . _:b663277823 "1"^^ . _:b668378957 . _:b668378958 . _:b665856921 _:b665856924 . _:b665857139 . _:b665856912 _:b665856911 . "Chris Mungall"@en . _:b665856919 _:b665856918 . _:b665122305 . _:b674348544 _:b674348543 . _:b665122304 . _:b674348545 _:b674348542 . _:b665122319 . _:b665795678 . _:b674348799 _:b674348797 . _:b665856913 _:b665856912 . _:b666092929 . _:b665856924 _:b665856923 . _:b665122316 . _:b665856927 _:b665856933 . _:b665122315 . _:b674348794 _:b674348792 . _:b665857131 . _:b665857641 . _:b665857642 . _:b665857132 . _:b665856917 _:b665856920 . _:b674348791 _:b674348795 . _:b665857640 . _:b674348795 _:b674348794 . _:b665856923 _:b665856922 . _:b665122312 . _:b665857133 . _:b665122359 . _:b668716665 . _:b665795573 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b674348784 _:b674348783 . _:b665857637 . _:b665856920 _:b665856919 . _:b665857638 . _:b674348788 _:b674348787 . _:b678849595 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665794144 . _:b665856936 _:b665856935 . _:b665857639 . _:b665856937 _:b665856936 . _:b665122355 . _:b674348786 _:b674348785 . _:b674348787 _:b674348786 . _:b665857633 . _:b665856934 _:b665856937 . _:b665122353 . _:b665857632 . _:b665857635 . _:b665856941 _:b665856940 . _:b665122352 . _:b674348785 _:b674348784 . _:b663276389 . _:b665857126 . _:b665857634 . _:b674348797 _:b674348798 . _:b665122366 . _:b665856940 _:b665856939 . _:b665857631 . _:b665122364 . _:b674016444 . _:b665856931 _:b665856930 . _:b665857628 . _:b674348792 _:b674348793 . _:b665857630 . _:b674348781 _:b674348780 . _:b665856929 _:b665856931 . _:b665856949 _:b665856950 . _:b665857625 . _:b674348771 _:b674348774 . _:b674016446 . _:b662810234 . _:b674348783 _:b674348782 . _:b665122361 . _:b665970968 . _:b678850160 . _:b665122360 . _:b665857627 . _:b665856932 _:b665856928 . _:b674348782 _:b674348781 . _:b665857624 . _:b662810254 . _:b665857626 . _:b665856938 _:b665856941 . _:b665856933 _:b665856932 . _:b665122342 . _:b674348779 _:b674348788 . _:b678850165 . _:b674348238 . _:b665857620 . _:b665856958 _:b665856957 . _:b665122340 . _:b665857623 . _:b665970975 . _:b665856943 _:b665856944 . _:b665857108 . _:b665856959 _:b665856958 . _:b665857109 . _:b665857621 . _:b674348773 _:b674348772 . _:b674348774 _:b674348773 . _:b678850169 . _:b665856944 _:b665856947 . _:b665857616 . _:b665857104 . _:b665857619 . _:b665856954 _:b665856953 . _:b665856948 _:b665856955 . _:b665857618 . _:b665857091 . _:b665857617 . _:b665857093 . _:b665856955 _:b665856954 . _:b665856952 _:b665856951 . _:b665856955 _:b665856949 . _:b665122349 . _:b665857103 . _:b665794123 . _:b665122347 . _:b665122303 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665856928 _:b665856929 . _:b665856950 _:b665856952 . _:b665857100 . _:b663277768 "1"^^ . _:b665857396 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665857101 . _:b665122344 . _:b665856956 _:b665856959 . _:b663277769 "1"^^ . _:b665856947 _:b665856946 . _:b668379041 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665856946 _:b665856945 . _:b675160979 . _:b678849539 . _:b662810079 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665794137 . _:b665857208 . _:b674348796 _:b674348800 . _:b665857209 . _:b674016224 . _:b665857210 . _:b678849656 . _:b674348774 . _:b665857211 . _:b678849649 . _:b675160414 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674348242 . _:b665857213 . _:b665857214 . _:b674348795 . _:b666092873 . _:b665794130 . _:b665857215 . _:b665857200 . _:b665857201 . _:b665458887 . _:b665857202 . _:b678849648 . _:b662809953 . _:b665857203 . _:b678849657 . _:b665857204 . _:b678849650 . _:b665857206 . _:b665857207 . _:b678849653 . _:b678849654 . _:b678850076 . _:b678849655 . _:b665856979 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665857195 . _:b662809828 . _:b678850049 . _:b663277768 . _:b665857196 . _:b665857498 . _:b665857197 . _:b665857198 . _:b665795160 . _:b665857199 . _:b665795161 . _:b665857184 . _:b665857185 . _:b678849647 . _:b678850059 . _:b668379124 . _:b668378975 . _:b668379123 . _:b668379106 . _:b662809835 . _:b678849835 _:b678849836 . _:b668379108 . _:b678849839 _:b678849840 . _:b678849853 _:b678849856 . _:b665857074 . _:b668379118 . _:b678849835 _:b678849837 . _:b678849832 _:b678849833 . _:b668379119 . _:b678850097 . _:b662809647 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665793924 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b668379115 . _:b678850103 . _:b668379116 . _:b665857183 . _:b678849837 _:b678849838 . _:b678849825 _:b678849826 . _:b678849828 _:b678849829 . _:b662810230 . _:b678849830 _:b678849831 . _:b678849828 _:b678849830 . _:b678850108 . _:b678849855 _:b678849854 . _:b674016495 . _:b678850082 . _:b665122466 . _:b665459359 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b678849848 _:b678849847 . _:b678849849 _:b678849848 . _:b668379098 . _:b678849846 _:b678849849 . _:b665857152 . _:b675160756 . _:b674016909 . _:b678849845 _:b678849844 . _:b665459227 . _:b678850089 . _:b678849843 _:b678849842 . _:b668716316 . _:b674348645 _:b674348648 . _:b665459224 . _:b674016906 . _:b674348644 _:b674348638 . _:b663276262 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b674348648 _:b674348647 . _:b668716484 . _:b678849793 _:b678849792 . _:b666093068 . _:b678849722 . _:b678849723 . _:b678849796 _:b678849795 . _:b678849797 _:b678849796 . _:b678849724 . _:b665122505 . _:b678849725 . _:b674348643 _:b674348642 . _:b678849726 . _:b678849718 . _:b674016338 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b678849801 _:b678849800 . _:b674016452 . _:b674348641 _:b674348640 . _:b678849712 . _:b678849802 _:b678849801 . _:b678849799 _:b678849807 . _:b678849803 _:b678849802 . _:b663277644 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b678849794 _:b678849797 . _:b678849804 _:b678849803 . _:b674348644 _:b674348643 . _:b678849805 _:b678849804 . _:b674348294 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674348647 _:b674348646 . _:b678849715 . _:b678849807 _:b678849806 . _:b674016459 . _:b678849716 . _:b674348629 _:b674348628 . _:b674348633 _:b674348636 . _:b678849717 . _:b678849806 _:b678849805 . _:b674348630 _:b674348629 . _:b678849719 . _:b678849727 . _:b674348625 _:b674348624 . _:b678849812 _:b678849811 . _:b678849814 _:b678849816 . _:b678849704 . _:b678849814 _:b678849815 . _:b674348626 _:b674348625 . _:b674348639 _:b674348641 . _:b665857277 . _:b665857276 . _:b678849810 _:b678849809 . _:b678849706 . _:b678849811 _:b678849810 . _:b678849823 _:b678849824 . _:b674348636 _:b674348635 . _:b674348617 _:b674348618 . _:b678849709 . _:b674348627 _:b674348630 . _:b678849821 _:b678849823 . _:b678849710 . _:b674348637 _:b674348644 . _:b674348635 _:b674348634 . _:b678849696 . _:b678849808 _:b678849812 . _:b678849821 _:b678849822 . _:b678849697 . _:b675160794 . _:b678849705 . _:b678849698 . _:b674348608 _:b674348607 . _:b675160795 . _:b678849699 . _:b678849818 _:b678849819 . _:b678849700 . _:b678849816 _:b678849817 . _:b678849701 . _:b668716675 . _:b678849702 . _:b674348609 _:b674348608 . _:b678849703 . _:b678849711 . _:b665793862 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b674348616 _:b674348622 . _:b674348623 _:b674348626 . _:b666093143 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665793476 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b678849689 . _:b674348612 _:b674348611 . _:b665857141 . _:b674348613 _:b674348612 . _:b678849692 . _:b678849693 . _:b674348618 _:b674348620 . _:b678849694 . _:b678849695 . _:b678849741 . _:b674348638 _:b674348639 . _:b665857147 . _:b674348632 _:b674348633 . _:b674348620 _:b674348619 . _:b674348610 _:b674348613 . _:b678849688 . _:b678849743 . _:b674348621 _:b674348617 . _:b665857135 . _:b674348622 _:b674348621 . _:b662809710 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b674348606 _:b674348609 . _:b666093317 . _:b674348585 _:b674348586 . _:b678849686 . _:b678849687 . _:b668378781 . _:b678849892 _:b678849895 . _:b674348590 _:b674348591 . _:b674348588 _:b674348590 . _:b675160783 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b668378800 . _:b674348588 _:b674348589 . _:b678849888 _:b678849887 . _:b678849891 _:b678849885 . _:b678849675 . _:b665122017 . _:b665795474 "2024-09-28T11:59:21.650546"^^ . _:b678849676 . _:b665857231 . _:b674348576 _:b674348577 . _:b678849669 . _:b665857216 . _:b678849754 . _:b678849891 _:b678849890 . _:b665857235 . _:b665857217 . _:b674348578 _:b674348579 . _:b674348583 _:b674348584 . _:b665857218 . _:b678849890 _:b678849889 . _:b666093307 . _:b674348581 _:b674348582 . _:b678849895 _:b678849894 . _:b674348581 _:b674348583 . _:b665857233 . _:b668716525 . _:b665122043 . _:b678849674 . _:b678849792 _:b678849791 . _:b678849667 . _:b678849792 _:b678849789 . _:b678849894 _:b678849893 . _:b678849668 . _:b663277881 . _:b668378798 . _:b678849747 . _:b668378929 . _:b678849670 . _:b678849671 . _:b678849880 _:b678849883 . _:b678849876 _:b678849875 . _:b678849679 . _:b678849877 _:b678849876 . _:b678849748 . _:b678849872 _:b678849871 . _:b678849784 . _:b678850194 . _:b678849785 . _:b674348601 _:b674348600 . _:b668716518 . _:b674348599 _:b674348602 . _:b678849786 . _:b668378787 . _:b674348602 _:b674348601 . _:b678850192 . _:b678849886 _:b678849888 . _:b678849787 . _:b678850199 . _:b678849873 _:b678849872 . _:b678849789 . _:b665122038 . _:b674348598 _:b674348597 . _:b678849864 _:b678849865 . _:b678849874 _:b678849877 . _:b665793882 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b674348596 _:b674348595 . _:b678849790 . _:b678849776 . _:b668378793 . _:b674348592 _:b674348593 . _:b678849777 . _:b678849884 _:b678849891 . _:b678850201 . _:b678849778 . _:b678849856 _:b678849855 . _:b678849882 _:b678849881 . _:b678849779 . _:b665971107 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b678849780 . _:b674348546 _:b674348545 . _:b678849883 _:b678849882 . _:b678849788 . _:b678850206 . _:b678849781 . _:b674348552 _:b674348560 . _:b678849782 . _:b674348545 _:b674348544 . _:b678849783 . _:b666093057 . _:b668378750 . _:b678849859 _:b678849858 . _:b678849768 . _:b678849879 _:b678849880 . _:b674348549 _:b674348548 . _:b678850178 . _:b678849769 . _:b674348550 _:b674348549 . _:b678849770 . _:b668378746 . _:b678849870 _:b678849873 . _:b668378749 . _:b678849771 . _:b668378747 . _:b678849860 _:b678849859 . _:b665121949 . _:b663277744 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b678849772 . _:b665121998 . _:b665121948 . _:b678849773 . _:b678849865 _:b678849867 . _:b665121951 . _:b678849885 _:b678849886 . _:b678849774 . _:b678849786 . _:b674348554 _:b674348553 . _:b674348555 _:b674348554 . _:b665121950 . _:b678849775 . _:b665121965 . _:b678850187 . _:b674348556 _:b674348555 . _:b674348557 _:b674348556 . _:b678849867 _:b678849866 . _:b678849863 _:b678849869 . _:b674348547 _:b674348550 . _:b675160825 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b662810016 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b674348559 _:b674348558 . _:b678850185 . _:b678849869 _:b678849868 . _:b678849762 . _:b665121966 . _:b678849763 . _:b665121993 . _:b674348558 _:b674348557 . _:b674348567 _:b674348568 . _:b678849764 . _:b678849857 _:b678849860 . _:b678849868 _:b678849864 . _:b674348560 _:b674348559 . _:b678849765 . _:b674348564 _:b674348563 . _:b674348565 _:b674348564 . _:b678849766 . _:b678849767 . _:b665857129 . _:b674348567 _:b674348569 . _:b674348574 _:b674348576 . _:b678849752 . _:b674348563 _:b674348562 . _:b678849753 . _:b678849754 . _:b665176546 . _:b678849755 . _:b665458989 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b678849756 . _:b674348574 _:b674348575 . _:b666093011 . _:b674016270 . _:b674348561 _:b674348565 . _:b665121996 . _:b678849758 . _:b668378729 . _:b665121997 . _:b678849759 . _:b674016269 . _:b678849744 . _:b674348571 _:b674348572 . _:b678849745 . _:b668378739 . _:b674348569 _:b674348570 . _:b678849746 . _:b678849747 . _:b678849748 . _:b668378737 . _:b678849749 . _:b678849757 . _:b678849750 . _:b678849751 . _:b665122003 . _:b665122002 . _:b674348678 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665122002 . _:b678849737 . _:b678849738 . _:b678850208 . _:b678849731 . _:b663277838 "1"^^ . _:b678849741 . _:b665122000 . _:b663277837 "1"^^ . _:b678849742 . _:b665857323 _:b665857322 . _:b665122001 . _:b663277836 "1"^^ . _:b678849743 . _:b665857317 _:b665857324 . _:b665793555 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665857321 _:b665857320 . _:b678849736 . _:b674348380 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b668716361 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857324 _:b665857323 . _:b665857324 _:b665857318 . _:b665857327 _:b665857326 . _:b678849732 . _:b665121958 . _:b663277830 "1"^^ . _:b678849733 . _:b665857313 _:b665857316 . _:b663277829 "1"^^ . _:b665121967 . _:b663277846 . _:b663276333 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665857315 _:b665857314 . _:b665121934 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b678849872 . _:b663277851 . _:b665176441 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665857325 _:b665857328 . _:b665857316 _:b665857315 . _:b665857319 _:b665857321 . _:b678849876 . _:b665121981 . _:b674016540 . _:b665121968 . _:b665857533 _:b665857537 . _:b678849882 . _:b665121969 . _:b665121970 . _:b674016537 . _:b665121971 . _:b665121977 . _:b665176539 . _:b678849887 . _:b662809713 . _:b665793550 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665857328 _:b665857327 . _:b678849859 . _:b665121998 . _:b665856960 . _:b665857312 _:b665857313 . _:b666093015 . _:b665121999 . _:b665176910 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665176533 . _:b666093012 . _:b665459194 . _:b665857318 _:b665857319 . _:b665857281 _:b665857280 . _:b665121964 . _:b663277839 . _:b665857282 _:b665857281 . _:b678849866 . _:b665121963 . _:b668379068 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665121978 . _:b665857290 _:b665857293 . _:b665857297 _:b665857298 . _:b678849868 . _:b665121977 . _:b665857288 _:b665857287 . _:b665459377 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665857289 _:b665857288 . _:b665857286 _:b665857289 . _:b665857293 _:b665857292 . _:b668716296 . _:b665857292 _:b665857291 . _:b668378798 . _:b665795182 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665857301 _:b665857297 . _:b665857302 _:b665857301 . _:b665121969 . _:b665857300 _:b665857299 . _:b668378785 . _:b665857307 _:b665857310 . _:b665857298 _:b665857300 . _:b662809891 . _:b665121942 . _:b665793920 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b668378699 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b668716306 . _:b668378791 . _:b678849890 . _:b665857296 _:b665857302 . _:b665857309 _:b665857308 . _:b668378777 . _:b665857310 _:b665857309 . _:b668378778 . _:b663276289 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b668378779 . _:b666093251 . _:b665121905 . _:b665857305 _:b665857304 . _:b678849894 . _:b665857303 _:b665857306 . _:b665857306 _:b665857305 . _:b665121907 . _:b665459388 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665857363 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665121906 . _:b665121909 . _:b666093323 . _:b666092826 . _:b665121908 . _:b665121911 . _:b675160489 "requested by Melanie Courtot" . _:b665121910 . _:b678849646 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668378772 . _:b678850046 _:b678850044 . _:b662810047 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665122434 . _:b678850047 _:b678850046 . _:b665795587 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b678849809 . _:b678850041 _:b678850039 . _:b678850042 _:b678850041 . _:b678850038 _:b678850042 . _:b668716828 . _:b678850032 _:b678850031 . _:b678849818 . _:b678850043 _:b678850047 . _:b678850034 _:b678850033 . _:b665121912 . _:b678850035 _:b678850034 . _:b678849816 . _:b678849823 . _:b668378754 . _:b668378755 . _:b678850033 _:b678850032 . _:b678850044 _:b678850045 . _:b678850018 _:b678850021 . _:b678850028 _:b678850027 . _:b678850029 _:b678850028 . _:b678850031 _:b678850030 . _:b665856942 . _:b665856943 . _:b678850030 _:b678850029 . _:b668378877 . _:b665970892 . _:b678849796 . _:b678850026 _:b678850035 . _:b668378864 . _:b678850039 _:b678850040 . _:b666092876 . _:b678849800 . _:b678850020 _:b678850019 . _:b678850021 _:b678850020 . _:b678849660 _:b678849659 . _:b678849661 _:b678849660 . _:b665176391 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665856907 . _:b678849663 _:b678849662 . _:b665121943 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665857426 . _:b678849649 _:b678849652 . _:b668378856 . _:b678849842 . _:b678849662 _:b678849661 . _:b665857427 . _:b668378857 . _:b668716856 . . _:b665856908 . _:b665857424 . _:b668378879 . _:b665857425 . _:b668378859 . _:b668378860 . _:b678849659 _:b678849658 . _:b668378861 . _:b665857428 . _:b668378862 . _:b678849844 . _:b665857429 . _:b668378863 . _:b678849652 _:b678849651 . _:b668378848 . _:b668378849 . _:b668378850 . _:b665856960 . _:b678849848 . _:b663277890 . _:b665856961 . _:b678849855 . _:b678849651 _:b678849650 . _:b668378852 . _:b662810312 . _:b668378853 . . _:b668378854 . _:b663277741 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b668378855 . _:b668378841 . _:b678849825 . _:b665857411 . _:b668378842 . _:b668378843 . _:b668378844 . _:b668716490 . _:b678849830 . _:b665795551 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b668378845 . _:b668378846 . _:b665857412 . _:b668378847 . _:b665856924 . _:b668716534 . _:b665857416 . _:b678849832 . _:b665857417 . _:b678849839 . _:b665856920 . _:b674016222 . _:b678849837 . _:b668378720 . _:b665793576 "requested by Melanie Courtot" . _:b663277708 . _:b665795204 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b662810067 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b663277709 . _:b665856960 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665970814 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b668378829 . _:b663277707 . _:b668378830 . _:b668378831 . _:b668716538 . _:b678849964 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665856949 . _:b668716718 . _:b678849646 . _:b668716717 . _:b668716541 . _:b668716716 . _:b662809678 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b668716715 . _:b668716714 . _:b675160494 . _:b678849657 _:b678849666 . _:b663277667 "per discussion with Barry Smith" . _:b674016924 . _:b674348607 . _:b665857471 _:b665857475 . _:b665857063 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b668716858 . _:b663277865 . _:b663277672 "per discussion with Barry Smith" . _:b665857453 _:b665857452 . _:b665857454 _:b665857453 . _:b663277868 . _:b663277859 . _:b666093094 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b663276215 . _:b665857451 _:b665857454 . _:b663277862 . _:b665857468 _:b665857467 . _:b668378917 . _:b668378916 . _:b668378919 . _:b678850041 . _:b665857459 _:b665857468 . _:b668378918 . _:b665857205 . _:b665857465 _:b665857464 . _:b675160610 . _:b668716753 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b678850046 . _:b665857466 _:b665857465 . _:b668378915 . _:b665857467 _:b665857466 . _:b665857464 _:b665857463 . _:b668378912 . _:b665857463 _:b665857462 . _:b668378914 . _:b668378909 . _:b665857462 _:b665857461 . _:b665857461 _:b665857460 . _:b665795191 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665856972 . _:b668378911 . _:b665122065 . _:b668378908 . _:b668378910 . _:b674348611 . _:b665857212 . _:b668378904 . _:b668378907 . _:b678850020 . _:b668378905 . _:b665856962 . _:b678850027 . _:b665857492 _:b665857491 . _:b665857472 _:b665857473 . _:b668378900 . _:b665857493 _:b665857492 . _:b674016945 . _:b668378903 . _:b668378902 . _:b668378901 . _:b668378897 . _:b663277641 "per discussion with Barry Smith" . _:b668378898 . _:b665857477 _:b665857478 . _:b668378896 . _:b665857490 _:b665857493 . _:b663276377 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b668378893 . _:b668378894 . _:b663277654 "per discussion with Barry Smith" . _:b668378895 . _:b674016938 . _:b674016492 . _:b665793871 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b662809734 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . . _:b665857475 _:b665857474 . _:b675160456 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665857474 _:b665857472 . _:b666092790 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b674016931 . _:b665857481 _:b665857487 . _:b663276240 . _:b665857479 _:b665857477 . _:b665857476 _:b665857480 . _:b665857483 _:b665857482 . _:b665857480 _:b665857479 . _:b662809698 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665857484 _:b665857483 . _:b665857485 _:b665857484 . _:b665122096 . _:b665121911 . _:b665122336 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665857487 _:b665857486 . _:b665121910 . _:b665122337 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665122106 . _:b665857486 _:b665857485 . _:b665122107 . _:b665857512 _:b665857513 . _:b665857532 _:b665857531 . _:b665122108 . _:b674016603 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665857519 _:b665857520 . _:b662809584 . _:b665122109 . _:b674016604 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665122101 . _:b665122110 . _:b665857520 _:b665857523 . _:b665122111 . _:b675160794 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665122097 . _:b665122098 . _:b665857531 _:b665857530 . _:b665121917 . _:b665793919 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b663276288 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665121916 . _:b665857506 _:b665857507 . _:b665857529 _:b665857532 . _:b665857413 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665121915 . _:b665122102 . _:b665122103 . _:b665122088 . _:b665857523 _:b665857522 . _:b665122089 . _:b665122090 . _:b665857522 _:b665857521 . _:b665122091 . _:b665122083 . _:b665857515 _:b665857514 . _:b678849757 _:b678849761 . _:b662809855 . _:b665857516 _:b665857515 . _:b665122080 . _:b665857507 _:b665857510 . _:b665121903 . _:b665122081 . _:b665121902 . _:b666092699 . _:b665122082 . _:b665121901 . _:b678849546 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b678849730 _:b678849729 . _:b665121900 . _:b665122084 . _:b665122092 . _:b665970720 . _:b678849729 _:b678849728 . _:b678849735 _:b678849734 . _:b678849736 _:b678849740 . _:b665122087 . _:b665857509 _:b665857508 . _:b665857513 _:b665857516 . _:b678849734 _:b678849733 . _:b665971183 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665857510 _:b665857509 . _:b678849735 _:b678849732 . _:b665122074 . _:b678849739 _:b678849738 . _:b665122075 . _:b665857138 _:b665857141 . _:b663277708 "per discussion with Barry Smith" . _:b665122077 . _:b665122070 . _:b678849740 _:b678849739 . _:b678849752 _:b678849753 . _:b674016507 . _:b665122064 . _:b678849731 _:b678849735 . _:b665856939 . _:b665857146 _:b665857145 . _:b665122065 . _:b678849740 _:b678849737 . _:b665122066 . _:b665857147 _:b665857146 . _:b665122067 . _:b668716623 . _:b665971274 . _:b678849791 _:b678849790 . _:b662809812 . _:b665122068 . _:b665122076 . _:b668716618 . _:b668716621 . _:b665857144 _:b665857147 . _:b665122069 . _:b665857140 _:b665857139 . _:b668716621 . _:b678850096 . _:b668716618 . _:b665857141 _:b665857140 . _:b665122071 . _:b678850106 . _:b668716616 . _:b678850107 . _:b662809819 . _:b665122057 . _:b678850100 . _:b668716614 . _:b665122058 . _:b665122059 . _:b678850110 . _:b668716611 . _:b665122060 . _:b678850111 . _:b665122061 . _:b665122053 . _:b665122062 . _:b678850105 . _:b668716611 . _:b668716685 . _:b665857150 _:b665857151 . _:b665122063 . _:b668716614 . _:b668716609 . _:b668378606 . _:b678850101 . _:b665857121 _:b665857124 . _:b668716632 . _:b665122051 . _:b678850102 . _:b665122052 . _:b678850088 . _:b678850080 . _:b665857123 _:b665857122 . _:b665122054 . _:b665793945 "requested by Melanie Courtot" . _:b665857143 _:b665857144 . _:b668716632 . _:b678850091 . _:b665971287 . _:b678849760 _:b678849759 . _:b678850092 . _:b668716625 . _:b665857124 _:b665857123 . _:b678849761 _:b678849758 . _:b668716630 . _:b678850093 . _:b665857137 _:b665857138 . _:b678850094 . _:b665857111 _:b665857110 . _:b665122164 . _:b665857112 _:b665857118 . _:b668716628 . _:b662809804 . _:b678850095 . _:b678850087 . _:b665176900 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665971280 . _:b665857110 _:b665857108 . _:b678849761 _:b678849760 . _:b662809806 . _:b678850081 . _:b668716628 . _:b665857105 _:b665857103 . _:b678850110 . _:b665857106 _:b665857105 . _:b665122160 . _:b668716625 . _:b678850084 . _:b678850085 . _:b665122173 . _:b665122163 . _:b678850086 . _:b678849666 _:b678849665 . _:b665857116 _:b665857115 . . _:b665857117 _:b665857116 . _:b665857103 _:b665857104 . _:b668378553 . _:b678849651 . _:b665857107 _:b665857111 . _:b678850072 . _:b678849665 _:b678849664 . _:b678850073 . _:b665857118 _:b665857117 . _:b668378554 . _:b665122152 . _:b678850075 . _:b678849679 _:b678849685 . _:b678849674 _:b678849678 . _:b665857114 _:b665857113 . _:b678850123 . _:b665122154 . _:b665857115 _:b665857114 . _:b678849669 _:b678849673 . _:b678849672 _:b678849670 . _:b665122155 . _:b678850078 . _:b665857151 _:b665857154 . _:b678849673 _:b678849672 . _:b678850079 . _:b665122566 . _:b678850064 . _:b678849658 . _:b668716894 . _:b678850065 . _:b665857108 _:b665857109 . _:b665122564 . _:b678850066 . _:b665857095 _:b665857094 . _:b678850074 . _:b665122571 . _:b665122144 . _:b678850067 . _:b665857102 _:b665857106 . _:b665857094 _:b665857093 . _:b678850112 . _:b678850068 . _:b678849677 _:b678849675 . _:b665122145 . _:b665122153 . _:b665857092 _:b665857091 . _:b665857093 _:b665857092 . _:b665122146 . _:b678850069 . _:b678849678 _:b678849677 . _:b665122147 . _:b678850070 . _:b665122148 . _:b678850117 . _:b678850071 . _:b678849688 _:b678849691 . _:b678849684 _:b678849683 . _:b665857097 _:b665857096 . _:b678849685 _:b678849684 . _:b665122149 . _:b678850116 . _:b678850056 . _:b678850048 . _:b665122573 . _:b678849788 _:b678849793 . _:b665857098 _:b665857097 . _:b665122150 . _:b665857099 _:b665857098 . _:b665857096 _:b665857095 . _:b668716853 . _:b665122151 . _:b678850058 . _:b678849682 _:b678849681 . _:b665122159 . _:b678849683 _:b678849682 . _:b663277806 . _:b668716887 . _:b665122136 . _:b678849670 _:b678849671 . _:b665121988 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665122137 . _:b678849681 _:b678849680 . _:b665122138 . _:b678850061 . _:b665857090 _:b665857099 . _:b665122005 . _:b665122139 . _:b678850062 . _:b665122140 . _:b678850063 . _:b678849675 _:b678849676 . _:b665122003 . _:b665122141 . _:b665122142 . _:b678850057 . _:b665122001 . _:b665795560 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665122143 . _:b678849690 _:b678849689 . _:b665122000 . _:b665122128 . _:b665122129 . _:b678849691 _:b678849690 . _:b665122130 . _:b678849727 _:b678849730 . _:b678849707 _:b678849706 . _:b665122131 . _:b668716801 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b666092948 . _:b665122132 . _:b678850055 . _:b665122133 . _:b665122010 . _:b665122134 . _:b665857394 . _:b678849708 _:b678849707 . _:b665122135 . _:b665857393 . _:b665122008 . _:b665122120 . _:b665857392 . _:b678850163 . _:b665121991 . _:b665122121 . _:b665857398 . _:b665121990 . _:b678850155 . _:b665857399 . _:b665122123 . _:b665857085 _:b665857084 . _:b665122124 . _:b674016900 . _:b668716424 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b678849717 _:b678849718 . _:b665121986 . _:b678849711 _:b678849714 . _:b665857084 _:b665857083 . _:b665122127 . _:b678849705 _:b678849708 . _:b665121984 . _:b665122112 . _:b665122113 . _:b678850164 . _:b665122114 . _:b665122122 . _:b665793520 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b678849704 _:b678849705 . _:b665121997 . _:b665122115 . _:b665122116 . _:b678850167 . _:b663276303 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b678850168 . _:b665121995 . _:b665122117 . _:b678850152 . _:b665857082 _:b665857085 . _:b665122118 . _:b678850153 . _:b668378618 . _:b678850154 . _:b678849720 _:b678849719 . _:b665122119 . _:b665121992 . _:b678849721 _:b678849720 . _:b665793513 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b678850155 . _:b678850156 . _:b665857432 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b678849718 _:b678849721 . _:b678849710 _:b678849711 . _:b674348392 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b678850158 . _:b665122236 . _:b678850159 . _:b665122228 . _:b668378608 . _:b678850144 . _:b678850145 . _:b665122230 . _:b678849713 _:b678849712 . _:b678849714 _:b678849713 . _:b678850146 . _:b678849664 _:b678849663 . _:b678850147 . _:b678850148 . _:b665970738 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665857391 . _:b666092679 . _:b678850149 . _:b678850157 . _:b675160873 . _:b678850150 . _:b665122235 . _:b678850151 . _:b665122229 . _:b678850136 . _:b666092688 . _:b678850137 . _:b678850138 . _:b665122239 . _:b678850139 . _:b678850140 . _:b678850141 . _:b678850142 . _:b665122211 . _:b678850143 . _:b665122212 . _:b666092682 . _:b665176828 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b678850128 . _:b668716413 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665122010 . _:b665122009 . _:b678850131 . _:b678850132 . _:b665176901 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b678850133 . _:b665122218 . _:b668716607 . "Darren Natale"@en . _:b678850134 . _:b665122219 . _:b678850135 . _:b666093380 . _:b678850120 . _:b668378566 . _:b678850121 . _:b665122222 . _:b678850122 . _:b663277679 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668716607 . _:b665122223 . _:b675160524 . _:b678850123 . _:b665121943 . _:b678850124 . _:b668378588 . _:b675160986 . _:b678850125 . _:b668378589 . _:b665857239 _:b665857238 . _:b665857241 _:b665857245 . _:b678850127 . _:b665857238 _:b665857237 . _:b678850112 . _:b665121980 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665857236 _:b665857235 . _:b665857237 _:b665857236 . _:b663277655 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b678850113 . _:b678850114 . _:b665121936 . _:b665857234 _:b665857233 . _:b678850115 . _:b665857235 _:b665857234 . _:b665121951 . _:b665857247 _:b665857249 . _:b678850116 . _:b668378570 . _:b665857247 _:b665857248 . _:b665121950 . _:b678850117 . _:b678850118 . _:b665857232 _:b665857240 . _:b678850126 . _:b665857244 _:b665857243 . _:b665857245 _:b665857244 . _:b678850119 . _:b662810082 . _:b665121947 . _:b665176825 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665121946 . _:b665121927 . _:b665857243 _:b665857242 . _:b665857240 _:b665857239 . _:b665121922 . _:b674348859 . _:b665121921 . _:b665121935 . _:b665121934 . _:b665857227 _:b665857230 . _:b665121933 . _:b665793768 . _:b665857221 _:b665857226 . _:b665121932 . _:b665857224 _:b665857223 . _:b665857225 _:b665857224 . _:b665121931 . _:b665857225 _:b665857222 . _:b665857226 _:b665857225 . _:b665793775 . _:b666093242 . _:b665121929 . _:b663276569 _:b663276574 . _:b663276569 _:b663276570 . _:b678849728 . _:b665121928 . _:b665121975 . _:b665459578 . _:b678849734 . _:b665857229 _:b665857228 . _:b675160416 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665121973 . _:b665857230 _:b665857229 . _:b674016821 . _:b665857276 _:b665857275 . _:b678849739 . _:b665121971 . _:b675160923 . _:b665793761 . _:b663276562 _:b663276563 . _:b665458984 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b663276562 _:b663276567 . _:b665857278 _:b665857277 . _:b665459571 . _:b665121983 . _:b665458983 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665857272 _:b665857273 . _:b665121930 . _:b665857268 _:b665857269 . _:b665121980 . _:b665121931 . _:b674016828 . _:b663276555 _:b663276560 . _:b665121978 . _:b665857270 _:b665857271 . _:b665857268 _:b665857270 . _:b662809883 . _:b665857265 _:b665857266 . _:b665121957 . _:b665459564 . _:b663276555 _:b663276556 . _:b665121956 . _:b665857258 _:b665857259 . _:b665857263 _:b665857264 . _:b665857256 _:b665857257 . _:b665793551 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665121953 . _:b663276548 _:b663276553 . _:b665857261 _:b665857263 . _:b678849791 . _:b663276548 _:b663276549 . _:b665122273 . _:b665121966 . _:b665857261 _:b665857262 . _:b665795639 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b674016813 . _:b665857249 _:b665857250 . _:b665121964 . _:b674016815 . _:b665121962 . _:b665857251 _:b665857252 . _:b678849760 . _:b665121960 . _:b665122257 . _:b665857254 _:b665857256 . _:b665857254 _:b665857255 . _:b665857153 _:b665857152 . _:b678850177 . _:b662810103 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665857154 _:b665857153 . _:b665122206 . _:b665857160 _:b665857163 . _:b665176360 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665122258 . _:b665857164 _:b665857168 . _:b674348479 . _:b665793754 . _:b674016244 . _:b665857162 _:b665857161 . . _:b665857163 _:b665857162 . _:b665122236 . _:b665122263 . _:b678849680 . _:b665857167 _:b665857166 . _:b665122250 . _:b665857279 _:b665857282 . _:b665857173 _:b665857170 . _:b665857168 _:b665857167 . _:b665857172 _:b665857171 . _:b663277847 . _:b665122245 . _:b665857168 _:b665857165 . _:b678849690 . _:b665857173 _:b665857172 . _:b665122254 . _:b666092667 . _:b665122240 . _:b674016706 . _:b663277840 . _:b665122249 . _:b674016704 . _:b662810113 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665122243 . _:b674016705 . _:b665122251 . _:b665122244 . . _:b665122246 . _:b665857169 _:b665857173 . _:b665122385 . _:b665121842 . _:b665121843 . _:b674016360 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665857193 _:b665857192 . _:b665857194 _:b665857193 . _:b665857194 _:b665857191 . _:b665857190 _:b665857194 . _:b674348880 . _:b678849672 . _:b665121849 . _:b665121850 . _:b665122392 . _:b678849677 . _:b665459004 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b674016737 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b678849915 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665795274 "requested by Melanie Courtot" . _:b665121853 . _:b662810197 . _:b665857042 . _:b665121854 . _:b678849605 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b678849713 . _:b665857043 . _:b675160998 . _:b674016864 . _:b665857047 . _:b662810204 . _:b665857048 . _:b678849720 . _:b665857055 . _:b675160628 . _:b668716444 . _:b665857185 _:b665857186 . _:b665857025 . _:b665857024 . _:b662809582 . _:b665857030 . _:b665122136 . _:b665857029 . _:b678849707 . _:b665122424 . _:b665458854 . _:b665122097 . _:b665857365 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b662809679 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665459346 . _:b665459344 . _:b665459345 . _:b665122406 . _:b668716917 . _:b665122411 . _:b665458857 . _:b675160746 . _:b665122414 . _:b665857058 . _:b666092725 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665857059 . _:b665857056 . _:b665857057 . _:b668716465 . _:b668378789 . _:b668716470 . _:b665857060 . _:b665971323 . _:b674348663 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b668716907 . _:b665176850 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665121904 . _:b668378796 . _:b668716910 . _:b665795251 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665795577 . _:b665122386 . _:b665795576 . _:b663277742 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665121888 . _:b665176357 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665795578 . _:b674016681 . _:b674016680 . _:b674348486 . _:b674016683 . _:b662809871 . _:b674016682 . _:b674016685 . _:b665795569 . _:b674016684 . _:b674016687 . _:b665795571 . _:b668378781 . _:b674016686 . _:b665121889 . _:b665795570 . _:b665458909 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665795573 . _:b668378783 . _:b665795572 . _:b665793845 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665122412 . _:b665795575 . _:b665795574 . _:b665121894 . _:b663277696 . _:b662809649 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b674016679 . _:b674016678 . _:b665121881 . _:b666093036 . _:b665793459 . _:b665122407 . _:b674016699 . _:b665121876 . _:b665121885 . _:b674016698 . _:b666093051 . _:b666093048 . _:b665121880 . _:b665122271 . _:b663277693 . _:b665122270 . _:b665121874 . _:b665121882 . _:b678849929 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665122269 . _:b665795495 . _:b665121875 . _:b663277695 . _:b665795494 . _:b668716330 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b663277694 . _:b665121877 . _:b665971181 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665121968 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b668378868 . _:b665121867 . _:b674016234 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665121859 . _:b665121967 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674016235 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665121861 . _:b665459585 . _:b665122335 . _:b665121871 . _:b665122334 . _:b674016718 . _:b665795495 . _:b674016719 . _:b674016368 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665795494 . _:b665121866 . _:b663276564 . _:b674348381 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665122299 . _:b665121860 . _:b665122300 . _:b674016335 . _:b674016639 . _:b665121870 . _:b674016638 . _:b663276571 . _:b674016728 . _:b665458976 . _:b674016729 . _:b674016730 . _:b665122291 . _:b674016731 . _:b674348312 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665122290 . _:b674016732 . _:b675160560 . _:b665122303 . _:b662810001 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665122302 . _:b674016336 . _:b665122301 . _:b674016337 . _:b665122300 . _:b665122372 . _:b675160997 . _:b665122371 . _:b663276550 . _:b665122525 . _:b665122367 . _:b668378832 . _:b665122320 . _:b665122298 . _:b666093298 . _:b665122371 . _:b665122297 . _:b665970918 . _:b665122296 . _:b665122317 . _:b665122279 . _:b674016727 . _:b663276557 . _:b665122319 . _:b674016604 . _:b665122318 . _:b674016751 . _:b674016750 . _:b665122272 . _:b674016603 . _:b665122286 . _:b665122285 . _:b665122284 . _:b665857044 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665122280 . _:b675160629 . _:b665795574 . _:b665122366 . _:b665122350 . _:b665122340 . _:b674016603 . _:b665122365 . _:b665795244 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665122550 . _:b665122346 . _:b665122336 . _:b665122337 . _:b665122338 . _:b665795581 . _:b665122339 . _:b668717001 . _:b674016604 . _:b665122552 . _:b665122559 . _:b665971089 . _:b665122557 . _:b665795556 . _:b665795555 . _:b665122530 . _:b668717001 . _:b665122370 . _:b678849941 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665122367 . _:b665122368 . _:b668716999 . _:b665122332 . _:b665122369 . _:b663276226 . _:b674016729 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665122333 . _:b674016694 . _:b668716994 . _:b665122534 . _:b668716997 . _:b663276227 . _:b665122362 . _:b668716997 . _:b665458974 . _:b668716994 . _:b663276224 . _:b665458975 . _:b674016498 . _:b663276225 . _:b663276230 . _:b668716992 . _:b665970911 . _:b674016690 . _:b665795560 . _:b663276231 . _:b665795567 . _:b663276228 . _:b674016700 . _:b665795554 . _:b663276229 . _:b665793806 . _:b665122543 . _:b665795561 . _:b665458980 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b663276234 . _:b665795552 . _:b663276235 . _:b665458999 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665795553 . _:b663276232 . _:b665970905 . _:b665795550 . _:b663276233 . _:b678849974 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665795551 . _:b663276238 . _:b665122040 . _:b674016698 . _:b663276239 . _:b665122041 . _:b665795549 . _:b663276236 . _:b665122034 . _:b674016676 . _:b665795542 . _:b663276237 . _:b665795543 . _:b663276242 . _:b665122454 . _:b663276243 . _:b663276240 . _:b663276241 . _:b665122039 . _:b663276246 . _:b665122032 . _:b665122338 . _:b663276247 . _:b665122033 . _:b663276244 . _:b665122311 . _:b665795544 . _:b665122035 . _:b663276245 . _:b678850179 _:b678850178 . _:b663276250 . _:b665122036 . _:b665122044 . _:b665122462 . _:b674016488 . _:b663276251 . _:b663276248 . _:b678850183 _:b678850184 . _:b663276249 . _:b665122357 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b674016491 . _:b663276254 . _:b678850180 _:b678850179 . _:b678850181 _:b678850180 . _:b663276255 . _:b674016519 . _:b674016683 . _:b663276252 . _:b678850183 _:b678850185 . _:b678850190 _:b678850192 . _:b663276253 . _:b678850187 _:b678850188 . _:b674016495 . _:b663276258 . _:b678850185 _:b678850186 . _:b663276259 . _:b663276256 . _:b665122022 . _:b663276257 . _:b678850190 _:b678850191 . _:b675160963 . _:b662809632 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b663276262 . _:b665795533 . _:b678850177 _:b678850181 . _:b665122346 . _:b663276263 . _:b665122441 . _:b665122347 . _:b665795529 . _:b674016662 . _:b665122018 . _:b663276260 . _:b665122327 . _:b678850199 _:b678850200 . _:b675160966 . _:b663276261 . _:b674016663 . _:b665122019 . _:b665122447 . _:b678850197 _:b678850198 . _:b663276266 . _:b674016660 . _:b665122020 . _:b674016664 . _:b674016670 . _:b678850197 _:b678850199 . _:b665795530 . _:b674016661 . _:b665122021 . _:b663276267 . _:b665795532 . _:b663276264 . _:b674016658 . _:b665795209 . _:b663276265 . _:b674016659 . _:b674016665 . _:b665795208 . _:b678850192 _:b678850193 . _:b663276270 . _:b665176597 . _:b665857057 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b663276271 . _:b674016669 . _:b663276268 . _:b678850194 _:b678850195 . _:b663276269 . _:b678850206 _:b678850207 . _:b678850204 _:b678850206 . _:b663276274 . _:b665122012 . _:b678850204 _:b678850205 . _:b663276275 . _:b665122013 . _:b674016641 . _:b675160973 . _:b663276272 . _:b665122357 . _:b665795201 . _:b663276273 . _:b674016349 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665122015 . _:b665122358 . _:b665795125 . _:b665795200 . _:b663276278 . _:b674016642 . _:b665795203 . _:b678850201 _:b678850202 . _:b663276279 . _:b665795202 . _:b663276566 . _:b663276276 . _:b665795126 . _:b665795205 . _:b663276277 . _:b674016651 . _:b674016653 . _:b665795204 . _:b663276282 . _:b662810260 . _:b665795207 . _:b665122494 . _:b663276283 . _:b665795206 . _:b663276280 . _:b663276573 . _:b665122014 . _:b665459208 . _:b663276281 . _:b663276286 . _:b662810018 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b674016652 . _:b663276287 . _:b663276284 . _:b663276285 . _:b674016757 . _:b678850208 _:b678850209 . _:b665459215 . _:b674016752 . _:b666092938 . _:b666092954 . _:b665459201 . _:b665122468 . _:b674016753 . _:b665795450 . _:b674016755 . _:b665122473 . _:b675160504 . _:b668716432 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665795221 . _:b665122362 . . _:b665795220 . _:b665122363 . _:b665795126 . _:b665122364 . _:b665795125 . _:b665795240 . _:b665795241 . _:b665122351 . _:b668379160 . _:b663276559 . _:b674016742 . _:b665122324 . _:b674016644 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b678850176 _:b678850175 . _:b674016740 . _:b678850172 _:b678850171 . _:b678850173 _:b678850172 . _:b665795815 _:b665795820 . _:b665795815 _:b665795816 . _:b678850163 _:b678850166 . _:b674016750 . _:b678850175 _:b678850174 . _:b678850174 _:b678850173 . _:b668716333 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674016745 . _:b675160863 . _:b678850170 _:b678850169 . _:b665176432 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b678850171 _:b678850170 . _:b665459298 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665795575 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b674016725 . _:b678850165 _:b678850164 . _:b665122307 . _:b678850166 _:b678850165 . _:b665795822 _:b665795823 . _:b665122308 . _:b678850160 _:b678850159 . _:b675160617 . _:b678850161 _:b678850158 . _:b665122309 . _:b665795822 _:b665795827 . _:b674016720 . _:b665122310 . _:b678850162 _:b678850161 . _:b666092714 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665795249 . _:b674016722 . _:b665795250 . _:b665121867 . _:b668716990 . _:b678850161 _:b678850160 . _:b663277889 . _:b665795251 . _:b665122314 . _:b665795252 . _:b674016733 . _:b668716987 . _:b665795253 . _:b665795254 . _:b665795829 _:b665795834 . _:b665122125 . _:b665795724 . _:b668716987 . _:b665795829 _:b665795830 . _:b665795186 . _:b665122318 . _:b668716990 . _:b665795273 . _:b668716985 . _:b663276207 . _:b674016731 . _:b665122161 . _:b665795272 . _:b668716976 . _:b668716983 . _:b674016709 . _:b668716980 . _:b663276359 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665795191 . _:b663276210 . _:b666093074 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b663276211 . _:b674016705 . _:b674016711 . _:b665122165 . _:b665795836 _:b665795837 . _:b665795187 . _:b668716978 . _:b663276208 . _:b668716980 . _:b663276209 . _:b668716983 . _:b665795717 . _:b668716976 . _:b663276214 . _:b678850157 _:b678850162 . _:b665795198 . _:b663276215 . _:b674016707 . _:b663276212 . _:b674016714 . _:b674016716 . _:b665795192 . _:b678850130 _:b678850127 . _:b662810233 . _:b663276213 . _:b665795836 _:b665795841 . _:b668716349 . _:b663276218 . _:b674016718 . _:b665122174 . _:b665795184 . _:b668716348 . _:b663276219 . _:b674016713 . _:b665795185 . _:b668716347 . _:b663276216 . _:b678850129 _:b678850128 . _:b665795182 . _:b668716346 . _:b663276217 . _:b678850130 _:b678850129 . _:b665795183 . _:b668716345 . _:b663276222 . _:b665795180 . _:b663276223 . _:b665795181 . _:b665795175 . _:b663276220 . _:b665795174 . _:b663276221 . _:b665857058 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665459369 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b678850121 _:b678850122 . _:b663276354 . _:b663276355 . _:b674348844 . _:b665122375 . _:b665795173 . _:b663276352 . _:b663276353 . _:b674348600 . _:b663276358 . _:b663276359 . _:b674016307 . _:b663276356 . _:b666093070 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665122377 . _:b663276357 . _:b668379289 "2024-11-28T11:49:20.961876"^^ . _:b663276362 . _:b665122376 . _:b663276363 . _:b663276360 . _:b674348837 . _:b665122156 . _:b663276361 . _:b678850126 _:b678850130 . _:b663276366 . _:b665857329 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b678850168 _:b678850176 . _:b674016314 . _:b663276367 . _:b663276364 . _:b665857536 _:b665857535 . _:b665857537 _:b665857534 . _:b663276365 . _:b663276370 . _:b663276371 . _:b663276368 . _:b674348790 . _:b675160594 . _:b665795164 . _:b663276369 . _:b674016295 . _:b665795163 . _:b663276374 . _:b665795160 . _:b663276375 . _:b663276372 . _:b674016294 . _:b665122072 . _:b663276373 . _:b674016301 . _:b665795161 . _:b674016292 . _:b663276378 . _:b678850089 _:b678850088 . _:b665122078 . _:b678850087 _:b678850090 . _:b663276379 . _:b678850090 _:b678850089 . _:b674016293 . _:b665459057 . _:b665795711 . _:b675160597 . _:b663276376 . _:b674016290 . _:b665459350 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b674016296 . _:b663276377 . _:b674016291 . _:b663276382 . _:b674016300 . _:b663276383 . _:b674016289 . _:b663276380 . _:b678850080 _:b678850083 . _:b663276381 . _:b662809882 . _:b662810173 . _:b663277856 . _:b678850083 _:b678850082 . _:b665971119 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665122055 . _:b675160554 . _:b663276386 . _:b674016272 . _:b675160604 . _:b663276387 . _:b662810175 . _:b678850082 _:b678850081 . _:b665970954 . _:b663276384 . _:b663276385 . _:b674016273 . _:b663276390 . _:b674016888 . _:b663276391 . _:b668716730 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b663276388 . _:b674016282 . _:b674016284 . _:b678850109 _:b678850108 . _:b663276389 . _:b674016283 . _:b663276394 . _:b678850109 _:b678850106 . _:b663276395 . _:b678850096 _:b678850099 . _:b663276392 . _:b678850108 _:b678850107 . _:b665176979 . _:b678850104 _:b678850101 . _:b663276393 . _:b678850100 _:b678850104 . _:b665122099 . _:b665795253 . _:b663276398 . _:b663276399 . _:b678850104 _:b678850103 . _:b662810112 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665795255 . _:b663276396 . _:b663276397 . _:b678850105 _:b678850109 . _:b668716548 . _:b663276402 . _:b674348831 . _:b663276403 . _:b678850103 _:b678850102 . _:b663276400 . _:b663276401 . _:b678850098 _:b678850097 . _:b678850099 _:b678850098 . _:b663276406 . _:b678850086 _:b678850087 . _:b663276407 . _:b663276404 . _:b665122104 . _:b665795262 . _:b678850050 _:b678850049 . _:b663276405 . _:b678850051 _:b678850050 . _:b663276410 . _:b674016270 . _:b663276411 . _:b665857426 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b663276408 . _:b663276409 . _:b678850057 _:b678850060 . _:b678850079 _:b678850080 . _:b665795235 . _:b678850054 _:b678850053 . _:b663276414 . _:b674348253 . _:b678850052 _:b678850051 . _:b678850053 _:b678850052 . _:b665795238 . _:b675160893 . _:b663276415 . _:b674016269 . _:b663276412 . _:b678850059 _:b678850058 . _:b663276413 . _:b674016371 . _:b674016373 . _:b665795233 . _:b674016718 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b663276290 . _:b665795236 . _:b663276291 . _:b665122085 . _:b663276288 . _:b665122575 . _:b678850060 _:b678850059 . _:b665795244 . _:b663276289 . _:b678850073 _:b678850074 . _:b663276294 . _:b678850048 _:b678850054 . _:b663276295 . _:b665795247 . _:b663276292 . _:b665795240 . _:b663276293 . _:b674016381 . _:b663276298 . _:b678850074 _:b678850077 . _:b665795242 . _:b663276299 . _:b665122093 . _:b663276296 . _:b674016376 . _:b665795220 . _:b663276297 . _:b674016383 . _:b665122259 . _:b663276302 . _:b665795222 . _:b663276303 . _:b674348739 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b663276300 . _:b674016356 . _:b678850077 _:b678850076 . _:b665795216 . _:b663276301 . _:b674016861 . _:b663276306 . _:b665857427 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b663276307 . _:b663276304 . _:b678850076 _:b678850075 . _:b675160440 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665970940 . _:b663276305 . _:b674016353 . _:b665795229 . _:b662810224 . _:b663276310 . _:b665795227 . _:b674348261 . . . _:b663276311 . _:b665795231 . _:b663276308 . _:b674016364 . _:b663276309 . _:b663276314 . _:b674348511 . _:b665970882 . _:b663276315 . _:b663276312 . _:b665970736 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b663276313 . _:b665795205 . _:b663276318 . _:b674016362 . _:b674348309 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b663276319 . _:b665793554 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665122241 . _:b665970889 . _:b674016722 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b663276316 . _:b674016340 . _:b663276317 . _:b665122247 . _:b663276322 . _:b665177065 . _:b674016336 . _:b674016342 . _:b665970890 . _:b663276323 . _:b663276320 . _:b665795212 . _:b663276321 . _:b663276326 . _:b674016338 . _:b663276327 . _:b663276324 . _:b674016876 . _:b674348279 . _:b675160425 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b663276325 . _:b674016349 . _:b665122255 . _:b674016275 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b663276330 . _:b674016344 . _:b663276331 . _:b674016345 . _:b674016351 . _:b663276328 . _:b665122252 . _:b665970887 . _:b663276329 . _:b663276334 . _:b663276335 . _:b674016347 . _:b663276332 . _:b663276333 . _:b674016325 . _:b663276338 . _:b663276339 . _:b663277651 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b663276336 . _:b663276337 . _:b665122553 . _:b674016321 . _:b665122558 . _:b663276342 . _:b663276343 . _:b665122556 . _:b678849529 . _:b663276340 . _:b665459332 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b663276341 . _:b663276346 . _:b665122556 . . _:b663276347 . _:b665176433 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b663276344 . _:b665122553 . _:b675160377 . _:b663276345 . _:b674016329 . _:b663276350 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b663276350 . _:b665122551 . _:b663276351 . _:b674016331 . _:b663276348 . _:b665122549 . _:b668716562 . _:b663276349 . _:b665122549 . _:b663276482 . _:b663276483 . _:b674348749 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665857641 _:b665857642 . _:b663276480 . _:b663276481 . _:b663276486 . _:b663276487 . _:b663276484 . _:b663276485 . _:b662810181 . _:b662810048 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b663276490 . _:b665857632 _:b665857633 . _:b663276491 . . _:b663276488 . _:b663276489 . _:b665857634 _:b665857635 . _:b665857639 _:b665857640 . _:b665122195 . _:b663276494 . _:b665857637 _:b665857638 . _:b663276495 . _:b665857637 _:b665857639 . _:b665795206 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b663276492 . _:b663276493 . _:b665857623 _:b665857624 . _:b665857620 _:b665857621 . _:b663276498 . _:b675160849 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b662810251 . _:b662810188 . _:b663276499 . _:b665122197 . _:b663276496 . . _:b663276497 . _:b665857623 _:b665857625 . _:b665857630 _:b665857632 . _:b663276502 . _:b665857616 _:b665857617 . _:b665122202 . _:b663276503 . _:b665857616 _:b665857618 . _:b663276500 . _:b663276501 . _:b665857618 _:b665857619 . _:b665122207 . _:b663276506 . _:b665857630 _:b665857631 . _:b663276507 . _:b663276504 . _:b665122204 . _:b663276505 . _:b663276510 . _:b665857627 _:b665857628 . _:b663276511 . _:b665857625 _:b665857626 . _:b663276508 . _:b665795264 . _:b663276509 . _:b665122183 . _:b663276514 . _:b665857603 _:b665857602 . _:b663276515 . _:b665122181 . _:b665795267 . _:b663276512 . _:b665795274 . _:b663276513 . _:b665857607 _:b665857606 . _:b665795277 . _:b663276518 . _:b663276519 . _:b665857606 _:b665857605 . _:b665857604 _:b665857603 . _:b665857605 _:b665857604 . _:b665795279 . _:b663276516 . _:b665857610 _:b665857614 . _:b665795272 . _:b663276517 . _:b663276522 . _:b665122190 . _:b665857609 _:b665857608 . _:b663276523 . _:b665795275 . _:b663276520 . _:b665857608 _:b665857607 . _:b665122188 . _:b665970812 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b662809827 . _:b663276521 . _:b665857612 _:b665857611 . _:b665857613 _:b665857612 . _:b663276526 . _:b663276287 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665857601 _:b665857609 . _:b674016719 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b663276527 . _:b674016313 . _:b663276524 . _:b674016388 . _:b665122224 . _:b674016312 . _:b663276525 . _:b665857614 _:b665857613 . _:b665122231 . _:b674016315 . _:b663276530 . _:b674016314 . _:b663276531 . _:b674016317 . _:b663276528 . _:b674016384 . _:b674016316 . _:b663276529 . _:b674348490 . _:b662809834 . _:b663276534 . _:b674016386 . _:b674016318 . _:b663276535 . _:b665122233 . _:b663276532 . _:b668716565 . _:b662809839 . _:b663276538 . _:b665793828 . _:b663276539 . _:b665122237 . _:b674016309 . _:b663276536 . _:b663276537 . _:b674016311 . _:b663276542 . _:b674016310 . _:b663276543 . _:b665122209 . _:b663276540 . _:b674016329 . _:b678849967 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b663276541 . _:b665857598 _:b665857597 . _:b663276418 . _:b665459018 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b663276419 . _:b674016330 . _:b665857599 _:b665857598 . _:b675160929 . _:b665122213 . _:b663276416 . _:b663276417 . _:b665459315 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b663276422 . _:b663276423 . _:b665857593 _:b665857592 . _:b678849560 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b662809756 . _:b663276420 . _:b665857594 _:b665857593 . _:b665857594 _:b665857591 . _:b665857595 _:b665857594 . _:b663276421 . _:b665857590 _:b665857595 . _:b663276426 . _:b663276427 . _:b663276424 . _:b665122220 . _:b663276425 . _:b663276430 . _:b665857596 _:b665857599 . _:b665793923 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b663276431 . _:b663276428 . _:b665121872 . _:b663276429 . _:b663276434 . _:b665121878 . _:b663276435 . _:b663276432 . _:b665857537 _:b665857536 . _:b663276433 . _:b674016349 . _:b665121883 . _:b663276438 . _:b665857554 _:b665857555 . _:b665857541 _:b665857540 . _:b674016350 . _:b666093095 . _:b663276439 . _:b665857542 _:b665857541 . _:b666092919 . _:b666093094 . _:b663276436 . _:b666092916 . _:b666093093 . _:b663276437 . _:b665857542 _:b665857539 . _:b666093092 . _:b663276442 . _:b665121886 . _:b663276443 . _:b663276440 . _:b663276441 . _:b665857538 _:b665857542 . _:b663276446 . _:b666092926 . _:b665459335 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b663276447 . _:b663276444 . _:b674016360 . _:b663276445 . _:b674016361 . _:b674016362 . _:b663276450 . _:b665121862 . _:b674016363 . _:b663276451 . _:b663276448 . _:b663276449 . _:b668379044 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b666093096 . _:b678849636 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b663276454 . _:b663276455 . _:b663276452 . _:b665121864 . _:b663276453 . _:b663276458 . _:b674016282 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b662809864 . _:b663276459 . _:b674016857 . _:b663276456 . _:b665121868 . _:b663276457 . _:b665971105 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665857563 _:b665857560 . _:b663276462 . _:b665857562 _:b665857561 . _:b674016860 . _:b674016358 . _:b663276463 . _:b674016359 . _:b663276460 . _:b665857559 _:b665857563 . _:b665857563 _:b665857562 . _:b663276461 . _:b663276466 . _:b663276467 . _:b663276464 . _:b663276465 . _:b674016382 . _:b663276470 . _:b674016381 . _:b663276471 . _:b663276468 . _:b663276469 . _:b665793575 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b663276474 . _:b663276475 . _:b663276472 . _:b665793437 . _:b663276473 . _:b663276478 . _:b665121890 . _:b665795760 . _:b663276479 . _:b674348387 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b675160785 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b663276476 . _:b663276477 . _:b665122349 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665122574 . . . _:b665122572 . _:b665122570 . _:b665122570 . . _:b665122574 . . _:b665122560 . _:b665122567 . _:b665122563 . _:b665122426 . _:b678849572 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665122565 . _:b665122427 . _:b665122428 . _:b665122563 . _:b674016864 . _:b665122429 . _:b665122567 . _:b665122560 . _:b665122430 . _:b665122422 . _:b665122431 . _:b674016867 . _:b665795125 . _:b665795126 . _:b665122420 . _:b665122421 . _:b665122423 . _:b674016350 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665122409 . _:b665122410 . _:b665122403 . _:b663277618 . _:b663277628 . _:b665122408 . _:b665122401 . _:b665122402 . _:b665176382 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665122404 . _:b665122405 . _:b665122413 . _:b662810212 . _:b678849598 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665121840 . _:b674348855 . _:b674348848 . _:b665121844 . _:b665122391 . _:b665121851 . _:b665122384 . _:b665122387 . _:b665121855 . _:b665793527 . _:b665122388 . _:b665793526 . _:b665122389 . _:b665793525 . _:b665122390 . _:b665793524 . _:b665793531 . _:b665122381 . _:b665122382 . _:b665793532 . _:b663277714 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b674348828 . _:b668716934 . _:b665121838 . _:b674348880 . _:b665122383 . _:b665458928 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b663277812 . _:b665795196 . _:b665122488 . _:b665795197 . _:b665122489 . _:b665795198 . _:b665122490 . _:b665795199 . _:b668378618 . _:b665795192 . _:b665122492 . _:b665795193 . _:b665122493 . _:b665795194 . _:b665795195 . _:b665795188 . _:b665122480 . _:b663277847 . _:b665176348 . _:b665795189 . _:b665122481 . _:b665795190 . _:b665122482 . _:b665795191 . _:b665122483 . _:b663277840 . _:b665122491 . _:b668716813 . _:b662809744 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665795184 . _:b665122484 . _:b665795185 . _:b665122485 . _:b665795186 . _:b665122486 . _:b665795187 . _:b665122487 . _:b665795180 . _:b665122472 . _:b665793944 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665795181 . _:b665795167 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665122465 . _:b665795182 . _:b665176866 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665795183 . _:b665122475 . _:b665795176 . _:b665122476 . _:b665795177 . _:b665122477 . _:b665795178 . _:b665122478 . _:b665122470 . _:b665795179 . _:b665122479 . _:b665795173 . _:b665795174 . _:b665795256 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665122466 . _:b665795175 . _:b665122467 . _:b665793563 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665795168 . _:b665122282 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665795169 . _:b665971101 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665795170 . _:b665795171 . _:b665122471 . _:b665795164 . _:b665122456 . _:b665795165 . _:b665122457 . _:b665795166 . _:b665122458 . _:b668378675 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665795167 . _:b665122459 . _:b666093264 . _:b665795160 . _:b665122460 . _:b665122452 . _:b663277671 . _:b665795161 . _:b663277670 . _:b665122037 . _:b663277669 . _:b666092749 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665795163 . _:b663277668 . _:b663277667 . _:b665122042 . _:b666093271 . _:b665122449 . _:b665122450 . _:b665122451 . _:b674348550 . _:b665122453 . _:b674016651 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665122461 . _:b665122045 . _:b668716834 . _:b665857603 . _:b666092783 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665122440 . _:b665857605 . _:b665122016 . _:b668716839 . _:b665122443 . _:b674348462 . _:b665122023 . _:b665122444 . _:b665857606 . _:b665857611 . _:b665122446 . _:b665857608 . _:b665122439 . _:b665122432 . _:b665122433 . _:b665122434 . _:b665857612 . _:b665122435 . _:b665857613 . _:b665857614 . _:b665122436 . _:b665122437 . _:b665122445 . _:b665122438 . _:b666093238 . _:b665795260 . _:b665795261 . _:b665795262 . _:b665970750 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665795263 . _:b665795620 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665795256 . _:b665795257 . _:b668716848 . _:b665795258 . _:b665795259 . _:b665795252 . _:b674348475 . _:b665795253 . _:b665795254 . _:b665795255 . _:b665795248 . _:b665459279 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665795249 . _:b674348468 . _:b668379152 . _:b665795250 . _:b665795251 . _:b665795244 . _:b665122528 . _:b665795245 . _:b665795246 . _:b665122533 . _:b665795247 . _:b666093310 . _:b668379158 . _:b665795240 . _:b665795241 . _:b665795242 . _:b662809743 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665795243 . _:b665795236 . _:b668379165 . _:b665795237 . _:b665122529 . _:b662810240 . _:b665122542 . _:b665795238 . _:b665795239 . _:b665795232 . _:b665122532 . _:b665795233 . _:b665795234 . _:b665795235 . _:b665795228 . _:b665122520 . _:b665795229 . _:b665122521 . _:b665795230 . _:b663277705 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665795231 . _:b674016353 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665122523 . _:b674348622 . _:b665795224 . _:b665122524 . _:b674348703 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665795225 . _:b665857609 . _:b665795226 . . _:b665795227 . _:b665795220 . _:b665122512 . _:b665795221 . _:b665122513 . _:b665795222 . _:b665122514 . _:b665122522 . _:b665795223 . _:b665122515 . _:b668379150 . _:b665795216 . _:b665122516 . _:b665857607 . _:b665122517 . _:b665795217 . _:b678849506 . . _:b665795218 . _:b665122518 . _:b665795219 . _:b665122519 . _:b665795212 . _:b665122504 . _:b665795213 . _:b665122505 . _:b665795214 . _:b665122506 . _:b665795215 . _:b665122507 . _:b665795208 . _:b665122508 . _:b665795209 . _:b678849516 . _:b665122509 . _:b665795210 . _:b665122510 . _:b663277884 . _:b665122511 . _:b665795211 . _:b665795204 . _:b665122496 . _:b665795205 . _:b665122497 . _:b665795206 . _:b665122498 . _:b665795207 . _:b665122499 . _:b674348630 . _:b665795200 . _:b665122500 . _:b665795201 . _:b665122501 . _:b674348648 . _:b665795202 . _:b665122502 . _:b665795203 . _:b665122503 . _:b668379237 . _:b674348231 . _:b665793932 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b663276327 . _:b668716782 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665458945 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b663276328 . _:b674348681 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b663276329 . _:b678850184 . _:b678850191 . _:b678850188 . _:b665857592 . _:b668379201 . _:b678850186 . _:b678850188 . _:b678850191 . _:b678850184 . _:b665795536 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b668716931 . _:b665121908 . _:b663276265 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665121909 . _:b674348704 . _:b665121913 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665121913 . _:b678850207 . _:b665121914 . _:b678850202 . _:b678850205 . _:b678850205 . _:b678850202 . _:b678850200 . _:b665795276 . _:b678850198 . _:b665795277 . _:b662810196 . _:b665795278 . _:b674348701 . _:b678850195 . _:b665795279 . _:b665795272 . _:b674348703 . _:b665795273 . _:b674348702 . _:b678850195 . _:b665795274 . _:b662810203 . _:b665795275 . _:b678850198 . _:b674348778 . _:b665795268 . _:b678850193 . _:b665795269 . _:b665121897 . _:b665795270 . _:b665121898 . _:b665795271 . _:b665121899 . _:b665795264 . _:b665795265 . _:b666092944 . _:b665795266 . _:b665795267 . _:b678850209 . _:b665121895 . _:b678850135 . _:b662810252 . _:b678850209 . _:b668716750 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665121903 . _:b665176511 . _:b665121902 . _:b665121901 . _:b662809686 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665121900 . _:b665970732 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665121899 . _:b665121898 . _:b665121897 . _:b665121896 . _:b665795613 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b675160480 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b668716948 . _:b668716320 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b666093147 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b668716956 . _:b665970825 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b662810208 . _:b674016642 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b678849566 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674348651 . _:b665121982 . _:b665121955 . _:b666093020 . _:b665459374 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b666093194 . _:b665121938 . _:b665121939 . _:b675160482 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665121940 . _:b665121941 . _:b662810125 . _:b678850005 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665121945 . _:b665857004 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665121949 . _:b665121920 . _:b674016566 . _:b665121925 . _:b665121926 . _:b666093239 . _:b665176842 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b674016573 . _:b662809642 "per discussion with Barry Smith" . _:b662809655 "per discussion with Barry Smith" . _:b665121924 . _:b668716702 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665121925 . _:b668716493 . _:b665121926 . _:b665121927 . _:b662809660 "per discussion with Barry Smith" . _:b665122007 . _:b665122006 . _:b665121923 . _:b675160913 . _:b662810031 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665122008 . _:b665121928 . _:b665795189 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665121929 . _:b665176816 . _:b674348465 . . _:b666092705 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b674348696 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665857003 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b662810068 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b674016580 . _:b665459322 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b662809629 "per discussion with Barry Smith" . _:b668716535 . _:b666092701 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b666093083 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665121993 . _:b665121994 . _:b665121995 . _:b663276253 . _:b662809696 "per discussion with Barry Smith" . _:b668716539 . _:b666092796 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665121988 . _:b665857410 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665121989 . _:b663276232 . _:b678849935 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b678849531 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . . . _:b665795494 . _:b665795495 . _:b662810055 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b663276254 . _:b665122088 . _:b665795645 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b668716903 . _:b665857348 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b668716753 . _:b674348277 . _:b668716752 . _:b674348767 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b668716758 . _:b665795309 . _:b668716757 . _:b668716906 . . _:b668716883 "1"^^ . _:b668716905 . _:b662809843 . _:b668716442 . _:b665458992 . _:b674016273 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b668378987 . _:b668716916 . _:b665971309 . _:b668716885 "1"^^ . _:b668716884 "1"^^ . _:b665795580 . _:b668716877 "1"^^ . _:b665795581 . _:b668716876 "1"^^ . _:b665970824 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . . _:b665795582 . _:b665795583 . _:b668716367 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665795576 . _:b668716751 . _:b674348459 . _:b665795577 . _:b668716750 . _:b668716864 "1"^^ . _:b665795578 . _:b674348407 . _:b665795579 . _:b668716870 "1"^^ . _:b665795572 . _:b668716786 . _:b663276363 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665795573 . _:b668716787 . _:b665795574 . _:b674348511 . _:b668716784 . _:b665795575 . _:b668716785 . _:b665795568 . _:b665795569 . _:b665971173 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665795570 . _:b668716788 . _:b665795571 . _:b665795564 . _:b665795565 . _:b665795566 . _:b674348370 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665795567 . _:b665795560 . _:b665795561 . _:b663277729 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b668716567 . _:b665795562 . _:b665795563 . _:b665795556 . _:b668716351 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b668716770 . _:b665795557 . _:b668716771 . _:b665795558 . _:b674348919 . _:b665795559 . _:b665795552 . _:b668716775 . _:b665795553 . _:b668716699 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b668716463 . _:b665795554 . _:b668379154 . _:b665795555 . _:b662809629 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665795548 . _:b665795549 . _:b668716776 . _:b665795550 . _:b665795626 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b666093152 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665795551 . _:b665795544 . _:b665795545 . _:b668716783 . _:b665795546 . _:b665795547 . _:b665795540 . _:b665795542 . _:b665795543 . _:b665970929 . _:b665795536 . _:b665795537 . _:b665795538 . _:b666092789 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665795539 . _:b665795532 . _:b665795533 . _:b665795534 . _:b665795535 . _:b665971256 . _:b668716816 "1"^^ . _:b678849584 . _:b665795529 . _:b665795530 . _:b678849538 . _:b665795558 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b678849537 . _:b678849590 . _:b668716717 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b678849536 . _:b665971251 . _:b668716815 "1"^^ . _:b665971259 . _:b665971258 . _:b665795254 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b666092870 . _:b665970922 . _:b665857041 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b678849573 . _:b678849574 . _:b678849575 . _:b678849576 . _:b674348399 . _:b668716685 . _:b662809699 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b678849580 . _:b665122387 . _:b668716681 . _:b668716479 . . _:b665122390 . _:b678850045 . _:b678849555 . _:b665857017 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b675160810 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b678849560 . _:b674016749 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b678849561 . _:b674348371 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665122287 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665122426 . _:b665122429 . _:b678849543 . _:b665122428 . _:b678849544 . _:b665122431 . _:b665971194 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665122430 . _:b678849548 . _:b678849549 . _:b665122421 . _:b665122420 . _:b674348485 . _:b675160989 . _:b665971206 "requested by Melanie Courtot" . _:b674348421 . _:b666092727 . _:b665857308 . _:b666092726 . _:b666092725 . _:b674348490 . _:b666092724 . _:b666092723 . _:b665970804 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b675160996 . _:b674016723 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b678849558 . _:b678849559 . _:b665459371 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b663277696 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b663277680 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b678849564 . _:b678849560 . _:b665122292 . _:b678849561 . _:b666092869 . _:b665122293 . _:b678849562 . _:b665122294 . _:b678849563 . _:b665122295 . _:b678849617 . . _:b678849623 . _:b678849624 . _:b665122296 . _:b665122297 . _:b665122298 . _:b668378978 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665122435 . _:b665122289 . _:b665122294 . _:b665122295 . _:b668716579 . _:b674348409 . _:b678849643 . _:b678849642 . _:b678849641 . _:b662809998 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b663276519 . _:b678849628 . _:b668716587 . _:b665971193 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b668716936 . _:b678849629 . _:b678849630 . _:b678849766 . _:b665857095 . _:b665857092 . _:b665857094 . _:b665857097 . _:b665122277 . _:b665122278 . _:b668716418 . _:b665122184 . _:b665122191 . _:b665122271 . _:b668716419 . _:b665122187 . _:b666093118 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665122270 . _:b668716416 . _:b665122189 . _:b668716417 . _:b665122269 . _:b665122282 . _:b665122268 . _:b665122283 . _:b665122187 . _:b665122267 . _:b665122191 . _:b665122184 . _:b665122266 . _:b665122265 . _:b665122182 . _:b665122264 . _:b665122180 . _:b665857113 . _:b665122180 . _:b665857114 . _:b665122201 . _:b665122272 . _:b668716547 . _:b665857115 . _:b674016683 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665857116 . _:b665122205 . _:b665122266 . _:b665857117 . _:b665122205 . _:b665122267 . _:b666093313 . _:b665122203 . _:b665122268 . _:b675160619 . _:b665857118 . _:b674016380 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665122513 . _:b665122201 . _:b674348478 . _:b665122198 . _:b665122196 . _:b665122194 . _:b665122194 . _:b675160851 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665459026 . _:b665459027 . _:b665459024 . _:b665122198 . _:b665459025 . _:b665459030 . _:b665459031 . _:b665459028 . _:b665459029 . _:b665459034 . _:b665459035 . _:b665459032 . _:b665459033 . _:b665459038 . _:b665459039 . _:b665459036 . _:b665459037 . _:b665122506 . _:b665459010 . _:b665459011 . _:b665459008 . _:b665459009 . _:b665459014 . _:b665459015 . _:b665459012 . _:b665459013 . _:b674348282 . _:b665459427 . _:b665459018 . _:b665459019 . _:b665459016 . _:b665459017 . _:b665459022 . _:b665459023 . _:b665459020 . _:b665459021 . _:b665459058 . _:b674348740 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665459059 . _:b665857096 . _:b665459056 . _:b665459057 . _:b665857122 . _:b665459062 . _:b665459063 . _:b665459060 . _:b665459061 . _:b665459066 . _:b665459067 . _:b665459064 . _:b665459065 . _:b675160917 . _:b665459070 . _:b665459071 . _:b665459068 . _:b665459069 . _:b665459042 . _:b665459043 . _:b665459040 . _:b665459041 . _:b665857098 . _:b665459046 . _:b665459047 . _:b665857099 . _:b665459044 . _:b668716275 . _:b665459045 . _:b665459050 . _:b665459051 . _:b665176794 . _:b665459048 . _:b665459049 . _:b665459054 . _:b665459055 . _:b665459052 . _:b665459053 . _:b668716537 . _:b665458962 . _:b665458963 . _:b668716877 . _:b665458960 . _:b665458961 . _:b665458966 . _:b665458967 . _:b663277694 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665458964 . _:b665458965 . _:b668716543 . _:b665795224 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665458970 . _:b665458971 . _:b665458968 . _:b665458969 . _:b665458974 . _:b665458975 . _:b665458972 . _:b665458973 . _:b665458946 . _:b665458947 . _:b665458944 . _:b665458945 . _:b668716540 . _:b665458950 . _:b665458951 . _:b665458948 . _:b665458949 . . _:b665458954 . _:b665458955 . _:b665458952 . _:b665458953 . _:b665458958 . _:b665458959 . _:b665458956 . _:b665458957 . _:b665458994 . _:b665458995 . _:b665458992 . _:b665458993 . _:b665458998 . _:b665458999 . _:b665458996 . _:b665458997 . _:b665459002 . _:b665459003 . _:b665459000 . _:b665459001 . _:b665459006 . _:b665459007 . _:b665459004 . _:b665459005 . _:b665458978 . _:b665459438 . _:b665458979 . _:b663276472 . _:b665458976 . _:b665458977 . _:b665458982 . _:b665458983 . _:b665458980 . _:b665458981 . _:b665458986 . _:b665458987 . _:b665458984 . _:b665458985 . _:b665458990 . _:b665458991 . _:b665458988 . _:b665458989 . _:b665459154 . _:b675160809 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665459155 . _:b665176398 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665459152 . _:b665459153 . _:b665459158 . _:b665459159 . _:b665459156 . _:b665459157 . _:b665459162 . _:b665459163 . _:b666092902 . _:b665459160 . _:b665459161 . _:b665459166 . _:b665459167 . _:b665459164 . _:b668716656 . _:b665459165 . _:b665459138 . _:b665121918 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665459139 . _:b665459136 . _:b665459137 . _:b665459142 . _:b665459143 . _:b665459140 . _:b665459141 . _:b665459146 . _:b665459147 . _:b665459144 . _:b665459145 . _:b665459150 . _:b665459151 . _:b665459148 . _:b675160580 . _:b665459149 . _:b665459186 . _:b665459187 . _:b668716885 . _:b665459184 . _:b665459185 . _:b665459190 . _:b665459191 . _:b665459188 . _:b665459189 . _:b665459194 . _:b665459195 . _:b665459192 . _:b668716667 . _:b665459193 . _:b665459198 . _:b665459199 . _:b665459196 . _:b665459197 . _:b665459170 . _:b665459171 . _:b665459168 . _:b665459169 . _:b665459174 . _:b665459175 . _:b665459172 . _:b665856969 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665459173 . _:b665459178 . _:b665459179 . _:b665459176 . _:b665459177 . _:b665459182 . _:b665459183 . _:b675160620 . _:b665459180 . _:b665459181 . _:b665459090 . _:b665459091 . _:b665459088 . _:b665459089 . _:b665459094 . _:b665459095 . _:b665459092 . _:b665459093 . _:b665459098 . _:b665459099 . _:b665459096 . _:b665459097 . _:b665459102 . _:b665459103 . _:b665459100 . _:b665459101 . _:b665459074 . _:b665459075 . _:b675160627 . _:b665459072 . _:b665459073 . _:b665459078 . _:b665459079 . _:b665459076 . _:b665793889 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665459077 . _:b665459082 . _:b665459083 . _:b665459080 . _:b665459081 . _:b665459086 . _:b665459087 . _:b665459084 . _:b665459085 . _:b665459122 . _:b665459123 . _:b665459120 . _:b665459121 . _:b665459126 . _:b665459127 . _:b665459124 . _:b665459125 . _:b665459130 . _:b665459131 . _:b665459128 . _:b665459129 . _:b665459134 . _:b665459135 . _:b665459132 . _:b665459133 . _:b665122066 . _:b665459106 . _:b665459107 . _:b665459104 . _:b665459105 . _:b665459110 . _:b665459111 . _:b665459108 . _:b665459109 . _:b665122311 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665459114 . _:b665459115 . _:b665459112 . _:b665459113 . _:b665459118 . _:b665459119 . _:b665459116 . _:b665459001 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b662810029 "per discussion with Barry Smith" . _:b665459117 . _:b665122057 . _:b665857080 . _:b662810024 "per discussion with Barry Smith" . _:b665122059 . _:b675160916 . _:b665857081 . _:b665122061 . _:b665122060 . _:b665793980 . _:b668378711 . _:b665122062 . _:b668378709 . _:b665793492 . _:b665793491 . _:b665122051 . _:b668378706 . _:b668378705 . _:b668379011 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b668378704 . _:b665793503 . _:b665122052 . _:b668378719 . _:b674348834 . _:b665793502 . _:b666092651 . _:b665793501 . _:b668378619 . _:b668378717 . _:b668378724 . _:b665793499 . _:b668378621 . _:b668378715 . _:b668378723 . _:b665793498 . _:b666092895 . _:b668378620 . _:b668378714 . _:b665793497 . _:b666093277 . _:b668378623 . _:b665857028 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b668378622 . _:b668378694 . _:b668378692 . _:b665793473 . _:b674016661 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b668378689 . _:b665793472 . _:b665458952 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665793487 . _:b665793486 . _:b665793485 . _:b665458898 . _:b665458899 . _:b665458896 . _:b662809998 "per discussion with Barry Smith" . _:b665458897 . _:b665458902 . _:b668378700 . _:b665458903 . _:b666092795 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665458900 . _:b665458901 . _:b665458906 . _:b665458907 . _:b665458962 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665458904 . _:b665458905 . _:b665458910 . _:b668378698 . _:b665458911 . _:b665458908 . _:b665793481 . _:b665458909 . _:b662809662 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665458882 . _:b668378697 . _:b665458883 . _:b665458880 . _:b665793480 . _:b665458881 . _:b665458886 . _:b665458887 . _:b665458884 . _:b665793527 . _:b665458885 . _:b665458890 . _:b665458891 . _:b665458888 . _:b665793526 . _:b665458889 . _:b665458894 . _:b665458895 . _:b665122379 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665458892 . _:b665458893 . _:b665458930 . _:b665458931 . _:b665458928 . _:b665857234 . _:b665458929 . _:b665458934 . _:b663277615 . _:b665458935 . _:b665458932 . _:b665793523 . _:b665458933 . _:b665458938 . _:b663277614 . _:b665458939 . _:b665458936 . _:b665857223 . _:b665458937 . _:b665458942 . _:b663277613 . _:b665458943 . _:b665458940 . _:b665793521 . _:b665458941 . _:b665458914 . _:b663277612 . _:b665458915 . _:b665857237 . _:b665458912 . _:b665793520 . _:b665458913 . _:b665458918 . _:b663277611 . _:b665458919 . _:b665458916 . _:b665857236 . _:b665458917 . _:b665458922 . _:b663277610 . _:b665857239 . _:b665458923 . _:b665458920 . _:b665793534 . _:b665458921 . _:b668716916 . _:b665458926 . _:b663277609 . _:b665458927 . _:b665458924 . _:b665458925 . _:b662809861 . _:b663277608 . _:b665793532 . _:b665122137 . _:b665793611 . _:b663277607 . _:b665857242 . _:b663277606 . _:b665793530 . _:b668378719 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b663277605 . _:b665857243 . _:b663277604 . _:b678849624 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665857244 . _:b663277603 . _:b665857444 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665857245 . _:b662810011 "per discussion with Barry Smith" . _:b663277602 . _:b663277601 . _:b674348742 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665458866 . _:b663277600 . _:b665458867 . _:b665458864 . _:b665793506 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665458865 . _:b665458870 . _:b668378724 . _:b663277631 . _:b665458871 . _:b665458868 . _:b663277860 . _:b665458869 . _:b665458874 . _:b663277630 . _:b665458875 . _:b665458872 . _:b665793506 . _:b665458873 . _:b665458878 . _:b668378722 . _:b663277629 . _:b665458879 . _:b665458876 . _:b665793505 . _:b665458877 . _:b663277628 . _:b665793504 . _:b663277863 . _:b665458854 . _:b663277627 . _:b665458855 . _:b665458858 . _:b663277626 . _:b665458859 . _:b665458856 . _:b665458857 . _:b665857240 . _:b665458862 . _:b663277625 . _:b665458863 . _:b665458860 . _:b665793517 . _:b665458861 . _:b665459538 . _:b663277624 . _:b665459539 . _:b665459536 . _:b663277867 . _:b665793516 . _:b665459537 . _:b665459542 . _:b663277623 . _:b665459543 . _:b665459540 . _:b665459541 . _:b665793500 . _:b665459546 . _:b663277622 . _:b665459547 . _:b665459544 . _:b665459545 . _:b665793501 . _:b665459550 . _:b663277621 . _:b665459551 . _:b665459548 . _:b663277870 . _:b665793513 . _:b665459549 . _:b665459522 . _:b663277620 . _:b665459523 . _:b665459520 . _:b665459521 . _:b665459526 . _:b663277619 . _:b665459527 . _:b665459524 . _:b665459525 . _:b665459530 . _:b668378647 . _:b663277618 . _:b665459531 . _:b665857238 . _:b665459528 . _:b665459529 . _:b668716908 . _:b665459534 . _:b668378646 . _:b663277617 . _:b665459535 . _:b665459532 . _:b665459533 . _:b665459570 . _:b668378645 . _:b663277616 . _:b663276379 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665459571 . _:b665459568 . _:b665459569 . _:b668716741 . _:b665459574 . _:b665459575 . _:b665459572 . _:b665459573 . _:b668716740 . _:b665459578 . _:b668378643 . _:b665459579 . _:b674348359 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665459576 . _:b665459577 . _:b668716904 . _:b668716743 . _:b665459582 . _:b668378642 . _:b665459583 . _:b665459580 . _:b665459581 . _:b668716742 . _:b665459554 . _:b668378641 . _:b665459555 . _:b665459552 . _:b665459553 . _:b665459558 . _:b665459559 . _:b665459556 . _:b665459557 . _:b665459562 . _:b665459563 . _:b665459560 . _:b665459561 . _:b666093165 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665459362 . _:b665459566 . _:b665459567 . _:b665459564 . _:b665459565 . _:b665459474 . _:b665459475 . _:b665459472 . _:b665459473 . _:b665459478 . _:b665459479 . _:b665459476 . _:b665459477 . _:b665459482 . _:b665459483 . _:b663277750 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665459480 . _:b665459481 . _:b665459486 . _:b668378650 . _:b665459487 . _:b665459484 . _:b668379238 . _:b665459485 . _:b665459458 . _:b668378649 . _:b665459459 . _:b665459456 . _:b665459457 . _:b665459462 . _:b668378648 . _:b665459463 . _:b665459460 . _:b665459461 . _:b665459466 . _:b668379046 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b668378631 . _:b665459467 . _:b665459464 . _:b665459465 . _:b665459470 . _:b668378630 . _:b665459471 . _:b665459468 . _:b665459469 . _:b665459506 . _:b668378629 . _:b665459507 . _:b665459504 . _:b665459505 . _:b665459510 . _:b663277599 . _:b665459511 . _:b665459508 . _:b675160693 . _:b665459509 . _:b665459514 . _:b663277598 . _:b665459515 . _:b665459512 . _:b665459513 . _:b665459518 . _:b663277597 . _:b665459519 . _:b665459516 . _:b665459517 . _:b665459490 . _:b668378625 . _:b663277596 . _:b665459491 . _:b665459488 . _:b675160942 . _:b675160690 . _:b665459489 . _:b665459494 . _:b668378624 . _:b663277595 . _:b665459495 . _:b665459492 . _:b668716534 . _:b665459493 . _:b665459498 . _:b663277594 . _:b665459499 . _:b668716383 . _:b665459496 . _:b665459497 . _:b665459502 . _:b663277593 . _:b665459503 . _:b668716382 . _:b665459500 . _:b665459501 . _:b665857162 . _:b663277592 . _:b668716381 . _:b665857163 . _:b663277591 . _:b668378636 . _:b662810067 . _:b663277590 . _:b678849584 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b668378635 . _:b666092908 . _:b663277589 . _:b665857161 . _:b663277588 . _:b674348756 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b663277587 . _:b663277586 . _:b662810068 . _:b678849912 . _:b668378678 . _:b674348646 . _:b678849913 . _:b668716741 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b663277679 . _:b668378676 . _:b665122144 . _:b663277678 . _:b663277677 . _:b668378674 . _:b662810065 "per discussion with Barry Smith" . _:b678849917 . _:b668716536 . _:b668716811 . _:b663277676 . _:b668716537 . _:b678849918 . _:b663277675 . _:b665458965 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665793471 . _:b663277674 . _:b668378687 . _:b666092941 . _:b665793470 . _:b663277673 . _:b678849676 . _:b663277672 . _:b668378685 . _:b668379137 . _:b678849577 . _:b663277671 . _:b678849578 . _:b663277670 . _:b668716402 . _:b663277669 . _:b665459586 . _:b663277668 . _:b665459587 . _:b665459584 . _:b665459585 . _:b665459590 . _:b668378680 . _:b663277667 . _:b665459591 . _:b665459588 . _:b665459589 . _:b668716401 . _:b663277666 . _:b668716406 . _:b665857347 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665459592 . _:b663277665 . _:b668716407 . _:b663277664 . _:b668378661 . _:b663277695 . _:b668378660 . _:b663277694 . _:b668378644 . _:b663277693 . _:b668378645 . _:b678849901 . _:b662810063 . _:b668378657 . _:b663277692 . _:b666093134 . _:b678849902 . _:b662810062 . _:b663277691 . _:b678849903 . _:b662810061 . _:b674348886 . _:b668378671 . _:b663277690 . _:b666093132 . _:b668716414 . _:b662810060 . _:b668378670 . _:b663277689 . _:b666093133 . _:b668716415 . _:b665459282 . _:b665795257 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b663277688 . _:b662810098 . _:b665459283 . _:b665459280 . _:b665459281 . _:b665459286 . _:b663277687 . _:b665459287 . _:b665459284 . _:b665459285 . _:b665459290 . _:b668378667 . _:b668378704 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b663277686 . _:b662810096 . _:b665459291 . _:b665459288 . _:b665459289 . _:b668716832 . _:b665459294 . _:b663277685 . _:b662810097 . _:b665459295 . _:b674348776 . _:b665459292 . _:b665459293 . _:b665459266 . _:b668378665 . _:b663277684 . _:b665459267 . _:b665459264 . _:b665459265 . _:b665459270 . _:b668378664 . _:b663277683 . _:b665459271 . _:b668716384 . _:b665459268 . _:b665459269 . _:b665459274 . _:b668716568 . _:b663277682 . _:b666093285 . _:b665459275 . _:b665459272 . _:b678849903 . _:b665459273 . _:b665459278 . _:b663277681 . _:b665459279 . _:b665459276 . _:b678849902 . _:b665459277 . _:b665459314 . _:b663277680 . _:b665459315 . _:b665459312 . _:b678849901 . _:b668716388 . _:b665459313 . _:b668716419 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665459318 . _:b663277647 . _:b666093288 . _:b665459319 . _:b665459316 . _:b678849900 . _:b668716389 . _:b665459317 . _:b665459322 . _:b663277646 . _:b665459323 . _:b665459320 . _:b678849899 . _:b665459321 . _:b665459326 . _:b663277645 . _:b665459327 . _:b665459324 . _:b665459325 . _:b665459298 . _:b665793512 . _:b663277644 . _:b666093295 . _:b665459299 . _:b665459296 . _:b665459297 . _:b665459302 . _:b663277643 . _:b665459303 . _:b665459300 . _:b665459301 . _:b665459306 . _:b663277642 . _:b665459307 . _:b665459304 . _:b665459305 . _:b665459310 . _:b663277641 . _:b665459311 . _:b665459308 . _:b665459309 . _:b665459218 . _:b663277640 . _:b665459219 . _:b665459216 . _:b665459217 . _:b663277639 . _:b665459223 . _:b665459220 . _:b665459221 . _:b665459226 . _:b663277638 . _:b665459227 . _:b665459224 . _:b678849907 . _:b662810080 . _:b665459225 . _:b665459230 . _:b678849822 . _:b663277637 . _:b665459231 . _:b665459228 . _:b678849906 . _:b665795630 . _:b662810081 . _:b665459229 . _:b662810086 . _:b665459202 . _:b663277636 . _:b665459203 . _:b665459200 . _:b678849905 . _:b665795631 . _:b665459201 . _:b678849819 . _:b665459206 . _:b663277635 . _:b665459207 . _:b665459204 . _:b678849904 . _:b665795632 . _:b665459205 . _:b665459210 . _:b663277634 . _:b665176374 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665459211 . _:b665459208 . _:b665459209 . _:b662810085 . _:b665459214 . _:b663277633 . _:b665459215 . _:b665459212 . _:b665459213 . _:b665459250 . _:b678849819 . _:b663277632 . _:b665459251 . _:b665459248 . _:b675160949 . _:b665459249 . _:b665795619 . _:b665459254 . _:b663277663 . _:b665459255 . _:b665459252 . _:b665459253 . _:b678849822 . _:b665459258 . _:b663277662 . _:b665459259 . _:b665459256 . _:b678849817 . _:b665459257 . _:b665459262 . _:b668716862 . _:b663277661 . _:b665459263 . _:b665459260 . _:b665459261 . _:b665459234 . _:b678849815 . _:b665793528 . _:b663277660 . _:b662810094 . _:b665459235 . _:b665459232 . _:b665459233 . _:b665459238 . _:b663277659 . _:b662810095 . _:b665459239 . _:b665459236 . _:b665459237 . _:b665459242 . _:b663277658 . _:b665459243 . _:b665459240 . _:b665459241 . _:b665795623 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665795625 . _:b665459246 . _:b663277657 . _:b662810093 . _:b665459247 . _:b665459244 . _:b665459245 . _:b665795626 . _:b665459410 . _:b663277656 . _:b665459411 . _:b665459408 . _:b665459409 . _:b678849815 . _:b665459414 . _:b663277655 . _:b665459415 . _:b665459412 . _:b665971156 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665459413 . _:b665459418 . _:b663277654 . _:b665459419 . _:b665459416 . _:b665459417 . _:b678849833 . _:b665459422 . _:b663277653 . _:b665459423 . _:b665459420 . _:b678849838 . _:b665459421 . _:b665459394 . _:b663277652 . _:b665459395 . _:b665459392 . _:b665459393 . _:b665459398 . _:b678849836 . _:b663277651 . _:b665459399 . _:b665459396 . _:b665459397 . _:b665459402 . _:b663277650 . _:b665459403 . _:b665459400 . _:b665459401 . _:b668716546 . _:b665459406 . _:b663277649 . _:b665459407 . _:b665459404 . _:b665459405 . _:b678849836 . _:b665459442 . _:b663277648 . _:b665459443 . _:b665459440 . _:b665459441 . _:b665459446 . _:b663277743 . _:b665459447 . _:b665459444 . _:b665459445 . _:b665459450 . _:b678849833 . _:b665793482 . _:b663277742 . _:b665459451 . _:b665459448 . _:b665459449 . _:b665459454 . _:b663277741 . _:b665459455 . _:b665459452 . _:b665459453 . _:b665459426 . _:b663277740 . _:b665459427 . _:b665459424 . _:b678849831 . "Larisa Soldatova"@en . _:b665459425 . _:b665459430 . _:b663277739 . _:b665459431 . _:b665459428 . _:b665459429 . _:b678849826 . _:b665458873 . _:b665795643 . _:b665459434 . _:b678849829 . _:b663277738 . _:b665459435 . _:b665459432 . _:b665459433 . _:b678849829 . _:b665458874 . _:b665459438 . _:b678849826 . _:b663277737 . _:b665459439 . _:b665459436 . _:b678849953 . _:b665459437 . _:b665459346 . _:b663277736 . _:b665459347 . _:b665459344 . _:b666092778 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665459345 . _:b665459350 . _:b663277735 . _:b665459351 . _:b665459348 . _:b678849824 . _:b665459349 . _:b665459354 . _:b663277734 . _:b665459355 . _:b665459352 . _:b665459353 . _:b665459358 . _:b663277733 . _:b665459359 . _:b665459356 . _:b665459357 . _:b665795645 . _:b665459330 . _:b663277732 . _:b665459331 . _:b665459328 . _:b665459329 . _:b665795644 . _:b665459334 . _:b663277731 . _:b665459335 . _:b665459332 . _:b678849959 . _:b665459333 . _:b665459338 . _:b665793534 . _:b663277730 . _:b665459339 . _:b665459336 . _:b665459337 . _:b665459342 . _:b665795165 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b663277729 . _:b665459343 . _:b665793475 . _:b665459340 . _:b665459341 . _:b668379088 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665795586 . _:b665459378 . _:b663277728 . _:b665459379 . _:b665459376 . _:b665459377 . _:b665459382 . _:b665793533 . _:b663277759 . _:b665459383 . _:b665793477 . _:b665459380 . _:b668716298 . _:b665459381 . _:b665459386 . _:b663277758 . _:b665459387 . _:b665793476 . _:b665459384 . _:b665459385 . _:b665459390 . _:b663277757 . _:b665459391 . _:b665793479 . _:b665459388 . _:b665459389 . _:b678849840 . _:b665459362 . _:b663277756 . _:b665459363 . _:b665793478 . _:b665459360 . _:b665795237 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665459361 . _:b665459366 . _:b663277755 . _:b665459367 . _:b665793481 . _:b665459364 . _:b665459365 . _:b665795592 . _:b665459370 . _:b663277754 . _:b665459371 . _:b665793480 . _:b665459368 . _:b665459369 . _:b665459374 . _:b663277753 . _:b665459375 . _:b665459372 . _:b665459373 . _:b663277752 . _:b663277751 . _:b678849840 . _:b663277750 . _:b663277749 . _:b663277748 . _:b674348373 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b678849942 . _:b663277747 . _:b678849993 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b678849943 . _:b663277746 . _:b665857075 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b678849944 . _:b663277745 . _:b668716316 . _:b678849945 . _:b663277744 . _:b668378677 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b663277711 . _:b663277710 . _:b663277709 . _:b668716312 . _:b678849949 . _:b663277708 . _:b674016292 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b668716719 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b663277707 . _:b663277706 . _:b674016745 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b668716948 . _:b663277705 . _:b665122246 . _:b665970837 "requested by Melanie Courtot" . _:b663277704 . _:b663277703 . _:b665793521 . _:b663277702 . _:b665793520 . _:b678849924 . _:b665970747 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b663277701 . _:b668716947 . _:b668378674 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b663277700 . _:b663277699 . _:b663277698 . _:b663277697 . _:b665793519 . _:b678849929 . _:b663277696 . _:b665793518 . _:b678849930 . _:b663277727 . _:b668716372 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b663277726 . _:b663277725 . _:b663277724 . _:b674016354 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b663277723 . _:b663277722 . _:b668378863 . _:b663277721 . _:b663277720 . _:b663277719 . _:b678849927 . _:b663277718 . _:b663277717 . _:b663277716 . _:b663277715 . _:b663277714 . _:b678849932 . _:b678850011 . _:b663277713 . _:b678849933 . _:b678850010 . _:b663277712 . _:b665458940 . _:b663277807 . _:b665458941 . _:b668716954 . _:b665793861 . _:b663277806 . _:b678849928 . _:b674016672 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665458942 . _:b665793860 . _:b663277805 . _:b678849929 . _:b665458943 . _:b665793859 . _:b663277804 . _:b678849930 . _:b665458936 . _:b665793858 . _:b663277803 . _:b678849931 . _:b678850012 . _:b665458937 . _:b665793857 . _:b663277802 . _:b665458938 . _:b663277801 . _:b665458939 . _:b663277800 . _:b665458932 . _:b668716689 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b663277799 . _:b665458933 . _:b663277798 . _:b665458934 . _:b663277797 . _:b678849953 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665458935 . _:b663277796 . _:b665458928 . _:b663277795 . _:b665458929 . _:b663277794 . _:b665458930 . _:b663277793 . _:b665458931 . _:b663277792 . . _:b665458924 . _:b663277823 . _:b665458925 . _:b663277822 . _:b665458926 . _:b663277821 . _:b665793535 . _:b674016949 . _:b665458927 . _:b663277820 . _:b663277819 . _:b665458921 . _:b663277818 . _:b665458922 . _:b663277817 . _:b665458923 . _:b663277816 . _:b665458916 . _:b663277815 . _:b665458917 . _:b663277814 . _:b665793897 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665458918 . _:b663277813 . _:b665458919 . _:b663277812 . _:b665458912 . _:b663277811 . _:b665458913 . _:b663277810 . _:b665458914 . _:b675160988 . _:b663277809 . _:b665458915 . _:b663277808 . _:b665458908 . _:b663277775 . _:b665458909 . _:b663277774 . _:b663277773 . _:b663277658 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b678849997 . _:b665458911 . _:b663277772 . _:b678849998 . _:b663277771 . _:b678849999 . _:b663277770 . _:b674348420 . _:b674016935 . _:b663277769 . _:b663277768 . _:b678849986 . _:b663277767 . _:b665177089 . _:b663277766 . _:b663277765 . _:b668379073 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b663277764 . _:b663277763 . _:b663277762 . _:b678849992 . _:b674016942 . _:b663277761 . _:b678849993 . _:b663277760 . _:b668716928 . _:b663277791 . _:b665857491 . _:b663277790 . _:b663277789 . _:b663277788 . _:b663277787 . _:b665795276 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b663277786 . _:b665857482 . _:b663277785 . _:b665857483 . _:b674348334 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b663277784 . _:b663277783 . _:b663277782 . _:b663277781 . _:b665857047 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b675160544 . _:b668716426 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b663277780 . _:b665857484 . _:b663277779 . _:b665857485 . _:b663277778 . _:b668378999 . _:b665857486 . _:b663277777 . _:b668378998 . _:b663277776 . _:b665459004 . _:b663277871 . _:b665459005 . _:b663277870 . _:b674348448 . _:b665459006 . _:b663277869 . _:b668378994 . _:b675160800 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665121922 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665459007 . _:b663277868 . _:b668378993 . _:b665459000 . _:b663277867 . _:b663277811 . _:b665459001 . _:b663277866 . _:b678849645 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665459002 . _:b663277865 . _:b665459003 . _:b663277864 . _:b668379005 . _:b665458996 . _:b663277863 . _:b668379004 . _:b674348854 . _:b665458997 . _:b662809728 . _:b663277862 . _:b665458998 . _:b662809729 . _:b663277861 . _:b665458999 . _:b663277860 . _:b674348859 . _:b665458992 . _:b663277859 . _:b668379000 . _:b662810019 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665458993 . _:b663277858 . _:b668378983 . _:b665458994 . _:b663277857 . _:b665458995 . _:b663277856 . _:b665458988 . _:b663277887 . _:b665458989 . _:b663277886 . _:b665458990 . _:b663277885 . _:b665458991 . _:b663277884 . _:b665121877 . _:b665458984 . _:b663277883 . _:b674016376 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665458985 . _:b663277882 . _:b665458986 . _:b668716906 . _:b663277881 . _:b665458987 . _:b663277880 . _:b665458980 . _:b663277879 . _:b665458981 . _:b663277878 . _:b665176876 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665458982 . _:b675160622 . _:b663277877 . _:b668378986 . _:b665857397 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b674348669 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665458983 . _:b678849622 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b668716909 . _:b663277876 . _:b668378985 . _:b662810043 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665458976 . _:b663277875 . _:b674016314 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b668378984 . _:b665458977 . _:b663277874 . _:b663277781 . _:b665458978 . _:b663277873 . _:b665458979 . _:b663277872 . _:b674348847 . _:b665458972 . _:b663277839 . _:b665857487 . _:b665458973 . _:b663277838 . _:b665458974 . _:b663277837 . _:b665793462 "per discussion with Barry Smith" . _:b665177056 . _:b665458975 . _:b663277836 . _:b668716515 "1"^^ . _:b665458968 . _:b663277835 . _:b668716514 "1"^^ . _:b665458969 . _:b663277834 . _:b665458970 . _:b663277833 . _:b665458971 . _:b663277832 . _:b665857530 . _:b665458964 . _:b665857531 . _:b663277831 . _:b665458965 . _:b663277830 . _:b665458966 . _:b663277829 . _:b668716516 "1"^^ . _:b665458967 . _:b663277828 . _:b668716507 "1"^^ . _:b665458960 . _:b663277827 . _:b665458961 . _:b668716915 . _:b663277826 . _:b675160547 . _:b665458962 . _:b663277825 . _:b665857532 . _:b665458963 . _:b663277824 . _:b665458956 . _:b668716912 . _:b663277855 . _:b665857465 . _:b665122457 . _:b665458957 . _:b663277854 . _:b665857468 . _:b665458958 . _:b663277853 . _:b666092903 . _:b668716508 "1"^^ . _:b665458959 . _:b663277852 . _:b665458952 . _:b663277851 . _:b665857467 . _:b665458953 . _:b663277850 . _:b666092896 . _:b663276546 . _:b665458954 . _:b663277849 . _:b663276547 . _:b668716508 . _:b663276236 . _:b665458955 . _:b663277848 . _:b663276544 . _:b665122276 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665458948 . _:b663277847 . _:b663276545 . _:b665971116 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665458949 . _:b663277846 . _:b663276550 . _:b668716336 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665795467 _:b665795472 . _:b668716501 "1"^^ . _:b663277809 . _:b665458950 . _:b663277845 . _:b663276551 . _:b665458951 . _:b668716547 . _:b663277844 . _:b663276548 . _:b668378857 . _:b668716644 . _:b665458944 . _:b663277843 . _:b663276549 . _:b665458945 . _:b663277842 . _:b665971209 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b663276554 . _:b668716287 . _:b665458946 . _:b663277841 . _:b663276555 . _:b665458947 . _:b663277840 . _:b663276552 . _:b665795467 _:b665795468 . _:b668716495 "1"^^ . _:b663277935 . _:b663276553 . _:b663277934 . _:b663276558 . _:b663277933 . _:b663276559 . _:b678849712 . _:b665795460 _:b665795465 . _:b663277932 . _:b663276556 . _:b663277931 . _:b668716736 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b663276557 . _:b665795460 _:b665795461 . _:b663277930 . _:b663276562 . _:b662809805 . _:b663277929 . _:b663276563 . _:b663277928 . _:b663276560 . _:b663277927 . _:b663276561 . _:b663277926 . _:b668379231 . _:b665459524 . _:b663276566 . _:b674348450 . _:b663277925 . _:b662809702 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b663276567 . _:b663277924 . _:b663276564 . _:b663277923 . _:b663276565 . _:b663277922 . _:b663276570 . _:b663277921 . _:b663276571 . _:b668716516 . _:b663277920 . _:b663276568 . _:b663277951 . _:b663276569 . _:b668716720 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b663277950 . _:b663276574 . _:b663277949 . _:b663276575 . _:b663277948 . _:b663276572 . _:b668716585 . _:b663277947 . _:b663276573 . _:b663277946 . _:b663277945 . _:b663277944 . _:b663277943 . _:b674348904 . _:b663277942 . _:b663277941 . _:b668716579 . _:b663277940 . _:b674016675 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665459324 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b668716578 . _:b663277939 . _:b663277938 . _:b665795643 "requested by Melanie Courtot" . _:b663277937 . _:b674348398 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665970810 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b663277936 . _:b668379093 . _:b663277903 . _:b663277902 . _:b668379091 . _:b663277901 . _:b663277900 . _:b666093158 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b674348333 . _:b663277899 . _:b668379088 . _:b674348332 . _:b678849777 . _:b663277898 . _:b665857463 . _:b674348335 . _:b663277897 . _:b665857461 . _:b674348334 . _:b663277896 . _:b665857449 . _:b665857450 . _:b663277895 . _:b665857464 . _:b663277894 . _:b665857466 . _:b663277893 . _:b668716559 . _:b663277892 . _:b665459024 . _:b663277891 . _:b665459025 . _:b663277890 . _:b665793529 "per discussion with Barry Smith" . _:b665176606 . _:b665459026 . _:b663277889 . _:b668379078 . _:b665459027 . _:b663277888 . _:b668716446 "1"^^ . _:b665459020 . _:b663277919 . _:b668716447 "1"^^ . _:b665459021 . _:b663277918 . _:b668379075 . _:b668378945 . _:b665176326 . _:b665459022 . _:b663277917 . _:b668379074 . _:b668378642 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665459023 . _:b663277916 . _:b668379073 . _:b668378960 . _:b668716732 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665459016 . _:b663277915 . _:b665459017 . _:b663277914 . _:b665459018 . _:b663277913 . _:b668379086 . _:b665793484 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b668378698 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665459019 . _:b663277912 . _:b665793475 "per discussion with Barry Smith" . _:b665459012 . _:b663277911 . _:b668379084 . _:b663276305 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665459013 . _:b663277910 . _:b668379083 . _:b665459014 . _:b663277909 . _:b665459015 . _:b663277908 . _:b663277879 . _:b665459008 . _:b663277907 . _:b668379080 . _:b665459009 . _:b663277906 . _:b665795157 . _:b665459010 . _:b663277905 . _:b678849750 . _:b665459011 . _:b663277904 . _:b665971298 . _:b665122471 . _:b668378966 . _:b665793493 "per discussion with Barry Smith" . _:b665793488 "per discussion with Barry Smith" . . . . . . . _:b663277725 . . _:b668378957 . _:b678849991 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b663277867 . _:b674348768 . _:b665459194 _:b665459195 . _:b665459194 _:b665459199 . _:b663277891 . _:b665971291 . _:b668379093 . _:b668379092 . _:b668716381 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . . _:b662809650 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b668379030 . _:b668379029 . _:b665122011 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . . _:b668379026 . _:b674348517 . _:b674348292 . _:b668379039 . _:b668379211 . _:b678849765 . _:b668379036 . _:b668716707 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b663277824 . _:b668379034 . _:b668716705 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . . . . _:b668379033 . . . . . _:b663277955 . . . . . _:b668379015 . _:b663277954 . . . . . _:b668379014 . _:b663277953 . . _:b675160441 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . . _:b663277831 . . . _:b663277952 . . . . . _:b668379012 . _:b663277675 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . . . . _:b665795841 _:b665795842 . . _:b668379011 . . _:b674348731 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . . . . _:b668379010 . . . . . . . _:b674016235 . . . . _:b674016234 . . . . _:b663277864 . . . . . . . . . . . _:b668379019 . . . . . _:b668379018 . . _:b668379017 . _:b668379016 . _:b668379063 . _:b665856978 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b662809691 . _:b668379061 . _:b668379058 . _:b668379013 . _:b665122018 . _:b668379014 . _:b665122021 . _:b663277725 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b668379056 . _:b662809694 . _:b665176430 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b666093265 . _:b662809693 . _:b662809692 . _:b668379069 . _:b668379067 . _:b674016235 . _:b668379066 . _:b674016647 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b674016234 . _:b668379047 . _:b666093272 . _:b665970787 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b668379207 . _:b668379045 . _:b668379043 . _:b662809660 . _:b674348456 . _:b668379040 . _:b662809661 . _:b666092825 . _:b662809662 . _:b668379054 . _:b662809663 . _:b662809656 . _:b662809657 . _:b678849946 . _:b662809658 . _:b662809712 . _:b678849947 . _:b662809659 . _:b668379049 . _:b662809652 . _:b662809653 . _:b662809716 . _:b662809654 . _:b662809717 . _:b662809655 . _:b663277753 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b662809648 . _:b662809649 . _:b662809650 . _:b674348327 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b662809651 . _:b662809726 . _:b662809644 . _:b662809727 . _:b662809645 . _:b662809724 . _:b662809646 . _:b662809725 . _:b662809647 . _:b665795535 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b662809640 . _:b662809698 . _:b662809699 . _:b665122348 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b662809642 . _:b662809643 . _:b662809636 . _:b662809637 . _:b674016306 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b662809638 . _:b668716937 . _:b662809639 . _:b665122388 "1"^^ . _:b662809632 . _:b668378609 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665122389 "1"^^ . _:b662809633 . _:b662809634 . _:b665122102 . _:b663276327 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b662809635 . _:b662809629 . _:b662809711 . _:b662809630 . _:b663277903 . _:b678849544 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b662810071 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b675160790 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b668379049 . _:b663277669 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b668379048 . _:b668379086 . _:b665795446 _:b665795447 . _:b668379085 . _:b665795606 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b668379085 . _:b678850075 . _:b668379033 . _:b665795446 _:b665795451 . _:b665121892 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b668379032 . _:b668379034 . _:b668379081 . _:b665795453 _:b665795454 . _:b668379031 . _:b665970721 _:b665970720 . _:b668379076 . _:b665970722 _:b665970721 . _:b665795453 _:b665795458 . _:b665459033 . _:b665458954 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665459244 . _:b662809724 . _:b668379080 . _:b665122291 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b662809725 . _:b662809726 . _:b662809727 . _:b668379079 . _:b665459243 . _:b662809720 . _:b665795593 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b662809721 . _:b662809722 . _:b668379043 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b662809723 . _:b665795534 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b662809716 . _:b662809717 . _:b662809718 . _:b662809719 . _:b665459054 . _:b662809712 . _:b662809713 . _:b662809714 . _:b662809715 . _:b663277607 . _:b665857055 . _:b663277606 . _:b662809708 . _:b662809709 . _:b665970706 _:b665970707 . _:b665970697 _:b665970700 . _:b662809710 . _:b665970694 _:b665970693 . _:b665970701 _:b665970704 . _:b668379052 . _:b665970692 _:b665970694 . _:b662809711 . _:b665970695 _:b665970691 . _:b668379053 . _:b662809704 . _:b668379054 . _:b665857067 . _:b665857071 . _:b665970699 _:b665970698 . _:b665857040 . _:b662809705 . _:b665857066 . _:b665857070 . _:b665857041 . _:b662809706 . _:b665857043 . _:b662809707 . _:b665857042 . _:b668378684 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665970696 _:b665970695 . _:b662809700 . _:b668379050 . _:b665970700 _:b665970699 . _:b665970712 _:b665970713 . _:b662809701 . _:b668379041 . _:b668379051 . _:b665970703 _:b665970702 . _:b662809702 . _:b665857069 . _:b662809703 . _:b665970690 _:b665970696 . _:b665857044 . _:b665857068 . _:b662809696 . _:b665970691 _:b665970692 . _:b662809697 . _:b665857036 . _:b665970709 _:b665970708 . _:b665857033 . _:b665970704 _:b665970703 . _:b662809698 . _:b665857032 . _:b665970710 _:b665970709 . _:b665857034 . _:b662809699 . _:b665857037 . _:b662809692 . _:b665459059 . _:b668379064 . _:b665857077 . _:b665857039 . _:b662809693 . _:b665857035 . _:b665857038 . _:b668379082 . _:b662809694 . _:b668379083 . _:b662809695 . _:b665857078 . _:b662809688 . _:b668379060 . _:b665857079 . _:b665970719 _:b665970722 . _:b668379081 . _:b662809689 . _:b665970718 _:b665970712 . _:b665970707 _:b665970710 . _:b662809690 . _:b674016278 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b678849820 . _:b662809691 . _:b665970717 _:b665970716 . _:b665857448 . _:b668379084 . _:b662809684 . _:b665970718 _:b665970717 . _:b665857027 . _:b665970713 _:b665970715 . _:b662809685 . _:b665857031 . _:b662809686 . _:b662809687 . _:b665176933 "requested by Melanie Courtot" . _:b665970715 _:b665970714 . _:b665970711 _:b665970718 . _:b662809680 . _:b666092785 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665857030 . _:b665459324 . _:b665857025 . _:b662809681 . _:b665459325 . _:b678849813 . _:b662809682 . _:b665177074 . _:b665857074 . _:b663277816 . _:b665459326 . _:b662809683 . _:b665857028 . _:b665857029 . _:b665459327 . _:b665970907 _:b665970910 . _:b668379060 . _:b665970903 _:b665970902 . _:b662809676 . _:b663277818 . _:b665459320 . _:b668379061 . _:b662809677 . _:b665857026 . _:b665459321 . _:b662809678 . _:b668379046 . _:b665459322 . _:b662809679 . _:b668379052 . _:b665857024 . _:b668379047 . _:b665459323 . _:b662809672 . _:b665857073 . _:b665459316 . _:b662809673 . _:b665857072 . _:b665122293 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665857075 . _:b665459317 . _:b662809674 . _:b665459318 . _:b662809675 . _:b665970909 _:b665970908 . _:b674016303 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665459319 . _:b662809668 . _:b665970910 _:b665970909 . _:b665970901 _:b665970904 . _:b665459312 . _:b662809669 . _:b665970880 _:b665970879 . _:b665459313 . _:b662809670 . _:b665857076 . _:b665459314 . _:b662809671 . _:b665970904 _:b665970903 . _:b665459315 . _:b662809664 . _:b665857045 . _:b665459308 . _:b662809665 . _:b665459309 . _:b675160548 . _:b662809666 . _:b665857047 . _:b665459310 . _:b665857064 . _:b662809667 . _:b665857046 . _:b665970900 _:b665970901 . _:b665459311 . _:b665970881 _:b665970880 . _:b665857065 . _:b665970887 _:b665970886 . _:b665459304 . _:b674348789 . _:b678850014 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665459305 . _:b665970886 _:b665970885 . _:b665459306 . _:b665795580 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665459307 . _:b665857051 . _:b665857062 . _:b665857059 . _:b665459300 . _:b665857052 . _:b665857050 . _:b665459301 . _:b674016381 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665857057 . _:b665459302 . _:b665970884 _:b665970887 . _:b665857056 . _:b665459303 . _:b665857416 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665857053 . _:b665459296 . _:b665857048 . _:b665793938 . _:b668379025 . _:b665857063 . _:b665459297 . _:b668378993 . _:b665857049 . _:b665793939 . _:b665459298 . _:b668378992 . _:b665857058 . _:b665970906 _:b665970907 . _:b665857060 . _:b665857061 . _:b665857054 . _:b665459299 . _:b665793937 . _:b665459292 . _:b668378994 . _:b665459293 . _:b665970669 . _:b665459294 . _:b665793940 . _:b665459295 . _:b665121942 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665459288 . _:b665970936 _:b665970933 . _:b665970932 _:b665970936 . _:b665459289 . _:b668379067 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665970936 _:b665970935 . _:b665459291 . _:b665459284 . _:b665176521 . _:b678849834 . _:b665459285 . _:b675160991 . _:b665459286 . _:b665459287 . _:b668716348 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665970935 _:b665970934 . _:b665970913 _:b665970914 . _:b665970931 _:b665970930 . _:b665459281 . _:b665970931 _:b665970928 . _:b665459282 . _:b665970672 . _:b665970930 _:b665970929 . _:b665459283 . _:b678849827 . _:b665122010 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b674348817 . _:b665459278 . _:b665459279 . _:b665970914 _:b665970917 . _:b665970925 _:b665970924 . _:b665970926 _:b665970925 . _:b665795166 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b668378989 . _:b668378988 . _:b668378995 . _:b668378991 . _:b662809748 . _:b668378990 . _:b665122500 . _:b665970927 _:b665970931 . _:b665970916 _:b665970915 . _:b665970917 _:b665970916 . _:b665970923 _:b665970926 . _:b662809744 . _:b665459379 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665459388 . _:b662809745 . _:b665459389 . _:b662809746 . _:b665459390 . _:b662809747 . _:b665459391 . _:b662809740 . _:b665459384 . _:b662809741 . _:b665459385 . _:b662809742 . _:b665459386 . _:b662809743 . _:b665459387 . _:b662809736 . _:b665459380 . _:b662809737 . _:b665459381 . _:b662809738 . _:b665176491 . _:b665459382 . _:b662809739 . _:b665459383 . _:b662809732 . _:b665459376 . _:b662809733 . _:b665459208 _:b665459213 . _:b665459377 . _:b665459208 _:b665459209 . _:b662809734 . _:b665793572 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b666093164 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b665459215 _:b665459216 . _:b665459215 _:b665459220 . _:b665459378 . _:b662809735 . _:b665176588 . _:b665459379 . _:b662809728 . _:b665795191 . _:b665459372 . _:b662809729 . _:b665122261 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665459373 . _:b662809730 . _:b665459374 . _:b662809731 . _:b665459375 . _:b665795709 _:b665795708 . _:b665459368 . _:b665795710 _:b665795709 . _:b665795196 . _:b665459369 . _:b665795197 . _:b665459370 . _:b665459371 . _:b665459364 . _:b665459201 _:b665459206 . _:b665459201 _:b665459202 . _:b665795192 . _:b665459365 . _:b665970847 _:b665970846 . _:b665795193 . _:b665970845 _:b665970848 . _:b665459366 . _:b665795194 . _:b665459367 . _:b662809659 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665795195 . _:b665795707 _:b665795710 . _:b668379053 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665459360 . _:b665459361 . _:b665459362 . _:b665459363 . _:b665857440 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b674348512 . _:b665459356 . _:b665857434 . _:b665970853 _:b665970862 . _:b665795188 . _:b665459357 . _:b663276368 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665970857 _:b665970856 . _:b665857432 . _:b665459358 . _:b665122458 "1"^^ . _:b665970858 _:b665970857 . _:b665970859 _:b665970858 . _:b665970856 _:b665970855 . _:b665459359 . _:b665122457 "1"^^ . _:b665857433 . _:b665970860 _:b665970859 . _:b665459352 . _:b665122456 "1"^^ . _:b665970861 _:b665970860 . _:b665970875 _:b665970881 . _:b665795693 _:b665795692 . _:b665459353 . _:b665970848 _:b665970847 . _:b665176519 . _:b665795680 _:b665795679 . _:b665857447 . _:b665795193 . _:b665459354 . _:b665857446 . _:b665795194 . _:b665459355 . _:b665857440 . _:b665857448 . _:b665795706 _:b665795707 . _:b665970862 _:b665970861 . _:b665795681 _:b665795687 . _:b665459348 . _:b665795692 _:b665795691 . _:b665857431 . _:b665857426 . _:b678849913 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665459349 . _:b665795683 _:b665795682 . _:b665857425 . _:b665459350 . _:b665122450 "1"^^ . _:b665970871 _:b665970872 . _:b665459351 . _:b665122449 "1"^^ . _:b665970855 _:b665970854 . _:b665857430 . _:b665459344 . _:b665857424 . _:b665795687 _:b665795686 . _:b665970866 _:b665970867 . _:b662809674 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665459345 . _:b665857429 . _:b665459346 . _:b665795686 _:b665795685 . _:b675160421 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b678849780 . _:b665795684 _:b665795683 . _:b665857428 . _:b665795690 _:b665795693 . _:b665795685 _:b665795684 . _:b665459347 . _:b665857427 . _:b665459340 . _:b665970877 _:b665970876 . _:b674016665 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665459341 . _:b665122443 "1"^^ . _:b678850081 . _:b665795664 _:b665795663 . _:b665970879 _:b665970878 . _:b665459342 . _:b665795668 _:b665795667 . _:b665970865 _:b665970869 . _:b665459343 . _:b665970878 _:b665970877 . _:b665459336 . _:b665795167 . _:b665459337 . _:b665795176 . _:b665795666 _:b665795665 . _:b665795667 _:b665795666 . _:b665970873 _:b665970871 . _:b665795166 . _:b665459338 . _:b665795177 . _:b665970874 _:b665970873 . _:b665795165 . _:b665459339 . _:b665459154 . _:b665970870 _:b665970874 . _:b665795164 . _:b665459332 . _:b665795665 _:b665795664 . _:b665459585 _:b665459590 . _:b665459585 _:b665459586 . _:b665795163 . _:b665459333 . _:b665970868 _:b665970866 . _:b665857409 . _:b665795679 _:b665795677 . _:b665857411 . _:b665795181 . _:b665459334 . _:b665970869 _:b665970868 . _:b665857410 . _:b665795182 . _:b674348819 . _:b668378709 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665459335 . _:b665857408 . _:b662809916 . _:b665795676 _:b665795680 . _:b665459328 . _:b662809919 . _:b665857412 . _:b665459329 . _:b662809918 . _:b665795674 _:b665795672 . _:b662809917 . _:b665459330 . _:b665857413 . _:b665459331 . _:b665793932 . _:b665122437 "1"^^ . _:b665795671 _:b665795675 . _:b665795675 _:b665795674 . _:b668378578 . _:b665970987 _:b665970986 . _:b668378579 . _:b668378576 . _:b668378577 . _:b675160573 . _:b665795171 . _:b668378582 . _:b668378583 . _:b668378580 . _:b665971004 _:b665971008 . _:b678849532 . _:b668378581 . _:b665857415 . _:b665795170 . _:b668378586 . _:b665795659 _:b665795668 . _:b668378587 . _:b668378584 . _:b665857414 . _:b678849533 . _:b668378585 . _:b665795169 . _:b668378590 . _:b668378591 . _:b674348535 . _:b668378588 . _:b668378589 . _:b678849534 . _:b665795168 . _:b668378562 . _:b665970988 _:b665970987 . _:b665970989 _:b665970988 . _:b668378563 . _:b668378560 . _:b668378561 . _:b668378566 . _:b668378567 . _:b665795653 _:b665795652 . _:b668378564 . _:b668378565 . _:b668378570 . _:b665795654 _:b665795653 . _:b668378571 . _:b668378568 . _:b668378569 . _:b665970988 _:b665970985 . _:b668378574 . _:b668378575 . _:b678850025 . _:b665857419 . _:b668378572 . _:b668378573 . _:b668378610 . _:b668378611 . _:b668378608 . _:b668378609 . _:b665795677 _:b665795678 . _:b668378614 . _:b665857421 . _:b668378615 . _:b668378612 . _:b668378613 . _:b665795165 . _:b674348499 . _:b668378618 . _:b668378619 . _:b668378616 . _:b668378617 . _:b665793936 . _:b668378622 . _:b665795166 . _:b665793920 . _:b668378623 . _:b665857417 . _:b668378620 . _:b668378621 . _:b665795167 . _:b668378594 . _:b665970984 _:b665970989 . _:b668378595 . _:b665857416 . _:b668378592 . _:b665795672 _:b665795673 . _:b668378593 . _:b665121907 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b674348502 . _:b668378598 . _:b665970990 _:b665970993 . _:b665795661 _:b665795660 . _:b668378599 . _:b668378596 . _:b668378597 . _:b665793935 . _:b668378602 . _:b665857423 . _:b665795651 _:b665795654 . _:b665857418 . _:b668378603 . _:b665795663 _:b665795662 . _:b668378600 . _:b665857420 . _:b668378601 . _:b665857422 . _:b668378606 . _:b668378607 . _:b668378604 . _:b668378605 . _:b665971179 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665795662 _:b665795661 . . _:b665971007 _:b665971006 . _:b665857443 . _:b665971006 _:b665971005 . _:b665970995 _:b665971003 . _:b665971001 _:b665971000 . _:b665793942 . _:b665971002 _:b665971001 . _:b665971003 _:b665971002 . _:b665793941 . _:b665971000 _:b665970999 . _:b665857441 . _:b665970999 _:b665970998 . _:b665857435 . _:b665857439 . _:b674348509 . _:b665793941 . _:b665970998 _:b665970997 . _:b668378554 . _:b665970997 _:b665970996 . _:b668378555 . _:b665857408 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b668378552 . _:b665857442 . _:b665970992 _:b665970991 . _:b668378553 . _:b668378558 . _:b668378559 . _:b674348330 . _:b668378556 . _:b668378557 . _:b665793937 . _:b674348331 . _:b665857438 . _:b665793926 . _:b665857444 . _:b665857437 . _:b665793927 . _:b663277878 . _:b665795250 . _:b665857436 . _:b665857445 . _:b665970993 _:b665970992 . _:b665793930 . _:b665793931 . _:b668716363 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665795211 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665793928 . _:b665793897 . _:b665793929 . _:b665795256 . _:b665970953 _:b665970957 . _:b666092764 . _:b665795257 . _:b666092765 . . _:b665122114 . _:b666092763 . . _:b662810057 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665970957 _:b665970956 . _:b665793908 . _:b678849535 . _:b665793909 . _:b665970957 _:b665970954 . _:b678849534 . _:b665793916 . _:b665793910 . _:b665970956 _:b665970955 . _:b678849533 . _:b678849532 . _:b678849531 . _:b678849530 . _:b665793906 . _:b665122121 . _:b665793907 . _:b668378591 . _:b665970948 _:b665970949 . _:b665121999 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b668378588 . _:b665459396 . _:b678849898 . _:b665459397 . _:b665795261 . _:b665795262 . _:b665795263 . _:b665459392 . _:b665459393 . _:b665793902 . _:b665795217 . _:b665459394 . _:b665793903 . _:b665793941 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665459395 . _:b678849875 . _:b665971069 _:b665971068 . _:b665971059 _:b665971065 . _:b668378576 . _:b665971068 _:b665971067 . _:b665971064 _:b665971060 . _:b665795223 . _:b665971065 _:b665971064 . _:b665971063 _:b665971062 . _:b665971056 _:b665971055 . _:b665971066 _:b665971069 . _:b665793916 . _:b665971061 _:b665971063 . _:b665793917 . _:b668378597 . _:b665793908 . _:b665176384 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665857071 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665971051 _:b665971050 . _:b665795526 . _:b665795799 _:b665795798 . _:b665795794 _:b665795791 . _:b665795798 _:b665795797 . _:b665795206 . _:b665795207 . _:b665971042 _:b665971045 . _:b665971052 _:b665971051 . _:b665793881 . _:b665795793 _:b665795792 . _:b665795208 . _:b665795794 _:b665795793 . _:b665971055 _:b665971054 . _:b665795795 _:b665795794 . _:b674348661 . _:b665795209 . _:b662810072 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b666093059 . _:b665795804 _:b665795803 . _:b665795805 _:b665795804 . _:b665795213 . _:b665795807 _:b665795806 . _:b665971060 _:b665971061 . _:b665971041 _:b665971040 . _:b665857418 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665795806 _:b665795805 . _:b675160791 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b678849746 . _:b665971049 _:b665971052 . _:b665971044 _:b665971043 . _:b665971053 _:b665971056 . _:b665971045 _:b665971044 . _:b665795796 _:b665795799 . _:b665795803 _:b665795802 . _:b678849749 . _:b665795801 _:b665795809 . _:b665971031 _:b665971032 . _:b665971028 _:b665971029 . _:b668378962 . _:b668378963 . _:b665793845 . _:b668378960 . _:b668378961 . _:b668378966 . _:b665459068 . _:b668378967 . _:b665793844 . _:b668378964 . _:b668378965 . _:b668378970 . _:b668378971 . _:b662809941 . _:b668378968 . _:b665793847 . _:b665857478 . _:b668378969 . _:b662809942 . _:b668378974 . _:b668378975 . _:b662809964 . _:b678849753 . _:b668378972 . _:b665971031 _:b665971033 . _:b665793846 . _:b662809940 . _:b668378973 . _:b668378946 . _:b668378947 . _:b665793849 . _:b668378944 . _:b668378945 . _:b665971024 _:b665971025 . _:b668378950 . _:b668378951 . _:b665793848 . _:b668378948 . _:b665971024 _:b665971026 . _:b668378949 . _:b665121940 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b668378954 . _:b665795790 _:b665795795 . _:b668378955 . _:b662809937 . _:b678849756 . _:b668378952 . _:b666093058 . _:b668378953 . _:b662809938 . _:b668378958 . _:b668378959 . _:b665793850 . _:b668378956 . _:b665971026 _:b665971027 . _:b668378957 . _:b668378994 . _:b668379078 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b668378995 . _:b662809939 . _:b668378992 . _:b668378993 . _:b668378998 . _:b668378999 . _:b668378996 . _:b665971039 _:b665971038 . _:b668378997 . _:b668379002 . _:b668379003 . _:b662809963 . _:b668379000 . _:b662809933 . _:b668379001 . _:b668379006 . _:b668379007 . _:b662809932 . _:b668379004 . _:b668379005 . _:b662809935 . _:b668378978 . _:b668378979 . _:b668378976 . _:b662810028 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665971035 _:b665971036 . _:b668378977 . _:b665971008 _:b665971007 . _:b668378982 . _:b668378983 . _:b662809934 . _:b668378980 . _:b668378981 . _:b668378986 . _:b665971033 _:b665971034 . _:b668378987 . _:b666092782 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b668716710 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b668378984 . _:b668378985 . _:b668378990 . _:b668378991 . _:b668378988 . _:b668378989 . _:b662809931 . _:b668378898 . _:b668378899 . _:b668378896 . _:b665795837 _:b665795839 . _:b668378897 . _:b662809928 . _:b668378902 . _:b665971070 _:b665971073 . _:b665971010 _:b665971012 . _:b668378903 . _:b662809930 . _:b668378900 . _:b668378901 . _:b668378906 . _:b665793492 . _:b668378907 . _:b665793851 . _:b662809925 . _:b668378904 . _:b668378905 . _:b668378910 . _:b665793491 . _:b668378911 . _:b665971010 _:b665971011 . _:b668378908 . _:b668378909 . _:b665795837 _:b665795838 . _:b668378882 . _:b665971012 _:b665971013 . _:b665793490 . _:b668378883 . _:b662809927 . _:b668378880 . _:b668378881 . _:b662809924 . _:b668378886 . _:b665795275 . _:b665793489 . _:b668378887 . _:b668378884 . _:b662809926 . _:b668378885 . _:b665795274 . _:b668378890 . _:b665793488 . _:b668378891 . _:b665857334 . _:b665795834 _:b665795835 . _:b665971014 _:b665971015 . _:b668378888 . _:b668378889 . _:b668378894 . _:b668378895 . _:b662809920 . _:b668378892 . _:b665795832 _:b665795833 . _:b668378893 . _:b668378930 . _:b668378931 . _:b662809923 . _:b668378928 . _:b665793889 . _:b668378929 . _:b665971019 _:b665971020 . _:b665971017 _:b665971019 . _:b668378934 . _:b668378935 . _:b668378932 . _:b674348313 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665793888 . _:b668378933 . _:b662809921 . _:b668378938 . _:b665971017 _:b665971018 . _:b668378939 . _:b665857338 . _:b668378936 . _:b668378937 . _:b665795830 _:b665795832 . _:b668378942 . _:b665795830 _:b665795831 . _:b668378943 . _:b668378940 . _:b665793890 . _:b668378941 . _:b665795276 . _:b668378914 . _:b668378915 . _:b668378912 . _:b668378913 . _:b665795825 _:b665795826 . _:b668378918 . _:b668378919 . _:b668378916 . _:b668378917 . _:b668378922 . _:b668378923 . _:b666093129 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b668378920 . _:b665793887 . _:b668378921 . _:b668378926 . _:b665971021 _:b665971022 . _:b668378927 . _:b665795827 _:b665795828 . _:b668378924 . _:b665857340 . _:b662809707 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b668378925 . _:b668379090 . _:b668379091 . _:b665795816 _:b665795818 . _:b668379088 . _:b668379089 . _:b665857342 . _:b668379094 . _:b665857343 . _:b668379095 . _:b668379092 . _:b668379093 . _:b675160324 . _:b668379098 . _:b665795823 _:b665795825 . _:b668379099 . _:b665795818 _:b665795819 . _:b665795823 _:b665795824 . _:b668379096 . _:b668379097 . _:b668379102 . _:b665971073 _:b665971072 . _:b668379103 . _:b665857336 . _:b668379100 . _:b665795816 _:b665795817 . _:b668379101 . _:b665971079 _:b665971078 . _:b668379074 . _:b665857337 . _:b668379075 . _:b665971080 _:b665971087 . _:b668379072 . _:b668379073 . _:b675160321 . _:b668379078 . _:b668379079 . _:b665122111 . _:b668379076 . _:b665795808 _:b665795807 . _:b668379077 . _:b665795810 _:b665795814 . _:b668379082 . _:b665857339 . _:b665971078 _:b665971077 . _:b668379083 . _:b668379080 . _:b665795820 _:b665795821 . _:b668379081 . _:b668379086 . _:b668379087 . _:b668379084 . _:b665458922 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b668379085 . _:b665857333 . _:b668379122 . _:b668379123 . _:b665794062 . _:b668379120 . _:b668379121 . _:b668379126 . _:b668379127 . _:b668379124 . _:b668379125 . _:b668379130 . _:b665971082 _:b665971084 . _:b668379131 . _:b665857335 . _:b665971076 _:b665971079 . _:b668379128 . _:b668379129 . _:b668379134 . _:b665857332 . _:b668379135 . _:b668379132 . _:b668379133 . _:b665795809 _:b665795808 . _:b668379106 . _:b665971086 _:b665971085 . _:b665971087 _:b665971081 . _:b665971084 _:b665971083 . _:b668379107 . _:b674348658 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b668379104 . _:b668379105 . _:b668379110 . _:b668379111 . _:b665857329 . _:b668379108 . _:b665971087 _:b665971086 . _:b674348759 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b668379109 . _:b668379114 . _:b665795814 _:b665795813 . _:b668379115 . _:b668379112 . _:b665795812 _:b665795811 . _:b668379113 . _:b665857330 . _:b665795813 _:b665795812 . _:b668379118 . _:b668379119 . _:b668379116 . _:b665971075 _:b665971076 . _:b668379117 . _:b668379026 . _:b668379027 . _:b668379024 . _:b668379025 . _:b668379030 . _:b668379031 . _:b668379028 . _:b668379029 . _:b668379034 . _:b668379035 . _:b668379032 . _:b668379033 . _:b665795715 _:b665795714 . _:b668379038 . _:b668379039 . _:b662810044 . _:b668379036 . _:b668379037 . _:b668379010 . _:b674016721 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b668379011 . _:b662810045 . _:b668379008 . _:b665793905 . _:b665971091 _:b665971090 . _:b668379009 . _:b668379014 . _:b668379015 . _:b662810046 . _:b668379012 . _:b665793904 . _:b668379013 . _:b668379018 . _:b665795720 _:b665795723 . _:b668379019 . _:b662810047 . _:b668379016 . _:b665795716 _:b665795715 . _:b668379017 . _:b665971090 _:b665971089 . _:b668379022 . _:b668379023 . _:b666093277 . _:b668379020 . _:b662810040 . _:b668379021 . _:b668379058 . _:b668379059 . _:b662810041 . _:b668379056 . _:b668379057 . _:b668379062 . _:b665971081 _:b665971082 . _:b668379063 . _:b662810042 . _:b668379060 . _:b665795722 _:b665795721 . _:b668379061 . _:b662810230 . _:b668379066 . _:b668379067 . _:b662810043 . _:b668379064 . _:b668379065 . _:b668379070 . _:b662809688 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b668379071 . _:b662810036 . _:b668379068 . _:b665971088 _:b665971091 . _:b665795723 _:b665795722 . _:b668379069 . _:b668379042 . _:b668379043 . _:b662810037 . _:b668379040 . _:b668379041 . _:b668379046 . _:b668379047 . _:b662810038 . _:b668379044 . _:b668379045 . _:b668379050 . _:b668379051 . _:b662810039 . _:b668379048 . _:b668379049 . _:b674016639 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b668379054 . _:b668379055 . _:b665857039 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b668379052 . _:b665795713 _:b665795716 . _:b662810032 . _:b668379053 . _:b665857368 . _:b668378706 . _:b665857380 . _:b665857360 . _:b668378707 . _:b665857382 . _:b662810033 . _:b668378704 . _:b668378705 . _:b668378710 . _:b665857383 . _:b668378711 . _:b662810034 . _:b668378708 . _:b665857378 . _:b668378709 . _:b665459564 _:b665459565 . _:b668378714 . _:b665857376 . _:b668378715 . _:b662810035 . _:b668378712 . _:b665795732 _:b665795731 . _:b668378713 . _:b665857377 . _:b665795712 _:b665795713 . _:b665795738 _:b665795742 . _:b668378718 . _:b665857381 . _:b668378719 . _:b662810028 . _:b668378716 . _:b668378717 . _:b668378690 . _:b665857493 . _:b668378691 . _:b662810029 . _:b668378688 . _:b668378689 . _:b668378694 . _:b668378695 . _:b665176408 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b668378692 . _:b665795731 _:b665795730 . _:b662810030 . _:b668378693 . _:b668378698 . _:b668378699 . _:b662810031 . _:b668378696 . _:b668378697 . _:b665857379 . _:b668378702 . _:b668378703 . _:b662810024 . _:b668378700 . _:b665795719 _:b665795720 . _:b665857391 . _:b668378701 . _:b665459564 _:b665459569 . _:b668378738 . _:b668378739 . _:b662810025 . _:b668378736 . _:b665459571 _:b665459572 . _:b668378737 . _:b668378742 . _:b668378743 . _:b662810026 . _:b668378740 . _:b668378741 . _:b668378746 . _:b665795742 _:b665795739 . _:b668378747 . _:b665793528 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b668378744 . _:b662810027 . _:b665459571 _:b665459576 . _:b668378745 . _:b668378750 . _:b665857388 . _:b668378751 . _:b662810020 . _:b668378748 . _:b665857386 . _:b665795741 _:b665795740 . _:b668378749 . _:b665795729 _:b665795732 . _:b668378722 . _:b665795742 _:b665795741 . _:b668378723 . _:b662810021 . _:b668378720 . _:b665857387 . _:b665795733 _:b665795737 . _:b668378721 . _:b668378726 . _:b665795736 _:b665795735 . _:b668378727 . _:b662810022 . _:b668378724 . _:b668378725 . _:b665795737 _:b665795734 . _:b668378730 . _:b665857384 . _:b665795737 _:b665795736 . _:b665857385 . _:b668378691 . _:b668378731 . _:b665857488 . _:b662810023 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b668378728 . _:b665795839 _:b665795840 . _:b662810023 . _:b668378729 . _:b665857367 . _:b668378734 . _:b668378735 . _:b662810016 . _:b668378732 . _:b665857398 . _:b668378733 . _:b668378642 . _:b668378643 . _:b662810017 . _:b668378640 . _:b665857399 . _:b668378641 . _:b668378646 . _:b665857392 . _:b668378665 . _:b668378647 . _:b662810018 . _:b668378644 . _:b665857397 . _:b668378645 . _:b668378650 . _:b668378651 . _:b668378664 . _:b662810019 . _:b668378648 . _:b668378649 . _:b668378654 . _:b665857352 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b668378692 . _:b668378655 . _:b665857495 . _:b665857394 . _:b665459578 _:b665459579 . _:b668378652 . _:b665857395 . _:b662810012 . _:b665459578 _:b665459583 . _:b668378653 . _:b668378626 . _:b665459011 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b668378627 . _:b665857357 . _:b662810013 . _:b668378624 . _:b668378625 . _:b665857356 . _:b668378630 . _:b665857353 . _:b668378631 . _:b662810014 . _:b668378628 . _:b665857393 . _:b668378629 . _:b665857354 . _:b665857359 . _:b668378634 . _:b665857496 . _:b668378635 . _:b662810015 . _:b668378632 . _:b668378633 . _:b668378638 . _:b665857358 . _:b668378663 . _:b668378639 . _:b662810008 . _:b668378636 . _:b668378637 . _:b668378674 . _:b668378675 . _:b668378662 . _:b662810009 . _:b668378672 . _:b665857349 . _:b668378673 . _:b668378678 . _:b668378679 . _:b668378676 . _:b668378677 . _:b665121924 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b668378682 . _:b668378683 . _:b662810011 . _:b668378680 . _:b668378681 . _:b665857355 . _:b668378686 . _:b665857351 . _:b668378687 . _:b662810004 . _:b668378684 . _:b668378685 . _:b668378658 . _:b668378659 . _:b662810005 . _:b668378656 . _:b668378657 . _:b668378662 . _:b665795759 _:b665795763 . _:b668378615 . _:b668378663 . _:b662810006 . _:b668378660 . _:b668378661 . _:b668378666 . _:b668378667 . _:b668378614 . _:b662810007 . _:b668378664 . _:b665971072 _:b665971071 . _:b668378665 . _:b668378670 . _:b668378671 . _:b665857405 . _:b668378668 . _:b668378669 . _:b665176550 . _:b668378834 . _:b665857406 . _:b668378835 . _:b662810001 . _:b668378832 . _:b665857345 . _:b668378833 . _:b668378838 . _:b665857348 . _:b668378839 . _:b662810002 . _:b668378836 . _:b665857400 . _:b665857404 . _:b668378837 . _:b665857402 . _:b668378842 . _:b668378843 . _:b662810003 . _:b668378840 . _:b665857401 . _:b665857403 . _:b668378841 . _:b665857347 . _:b668378846 . _:b665795754 _:b665795755 . _:b668378847 . _:b668378844 . _:b668378845 . _:b668378818 . _:b665857407 . _:b668378819 . _:b668378816 . _:b668378817 . _:b665176557 . _:b665857344 . _:b668378822 . _:b668378823 . _:b662809998 . _:b675160431 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b668378710 . _:b668378820 . _:b668378821 . _:b668378826 . _:b668378827 . _:b662809999 . _:b668378711 . _:b668378824 . _:b665857352 . _:b668378695 . _:b668378825 . _:b668378830 . _:b665857346 . _:b668378831 . _:b668378828 . _:b668378829 . _:b668378866 . _:b668378867 . _:b668378864 . _:b665857350 . _:b668378865 . _:b668378870 . _:b668378871 . _:b668378868 . _:b668378869 . _:b668378874 . _:b668378875 . _:b668378872 . _:b665857396 . _:b668378691 . _:b668378873 . _:b668378878 . _:b668378879 . _:b668378617 . _:b666093123 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b668378876 . _:b668378877 . _:b668378850 . _:b668378851 . _:b668378616 . _:b668378848 . _:b668378849 . _:b668378854 . _:b668378855 . _:b665795763 _:b665795762 . _:b668378852 . _:b668378853 . _:b668378858 . _:b668716371 . _:b668378680 . _:b668378859 . _:b665795763 _:b665795760 . _:b668378856 . _:b668378857 . _:b668378862 . _:b668378863 . _:b668378860 . _:b668378717 . _:b665795762 _:b665795761 . _:b668378716 . _:b668378861 . _:b668378770 . _:b678849706 . _:b668716373 . _:b668378771 . _:b668378768 . _:b668378716 . _:b668378769 . _:b668378774 . _:b668716372 . _:b668378775 . _:b668378772 . _:b668378773 . _:b668378778 . _:b663276307 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b668378779 . _:b662810174 . _:b668378776 . _:b665857362 . _:b668378777 . _:b665857363 . _:b668716374 . _:b668378782 . _:b665857361 . _:b668378783 . _:b662810108 . _:b668378780 . _:b665857365 . _:b668378781 . _:b668378712 . _:b665857364 . _:b668378754 . _:b665857366 . _:b668378755 . _:b662810109 . _:b668378752 . _:b665857389 . _:b668378753 . _:b668378758 . _:b668378759 . _:b662810110 . _:b668378756 . _:b665857390 . _:b665857109 . _:b668378757 . _:b668378762 . _:b668378915 . _:b668378763 . _:b662810111 . _:b668378760 . _:b668378761 . _:b668378766 . _:b668378767 . _:b662810104 . _:b668378764 . _:b668378765 . _:b665857370 . _:b668378802 . _:b668378803 . _:b662810105 . _:b668378800 . _:b665857369 . _:b665857371 . _:b668378801 . _:b668378806 . _:b668378807 . _:b662810106 . _:b668378804 . _:b668378805 . _:b668378810 . _:b668378811 . _:b662810107 . _:b668378808 . _:b668378809 . _:b668378707 . _:b668378814 . _:b668378679 . _:b668378815 . _:b662810100 . _:b668378812 . _:b668378813 . _:b668378786 . _:b668378787 . _:b662810101 . _:b668378784 . _:b665857375 . _:b668378785 . _:b668378790 . _:b665459008 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b668378791 . _:b665857374 . _:b662810102 . _:b668378788 . _:b668378789 . _:b668378794 . _:b668378795 . _:b662810103 . _:b668378792 . _:b663277620 . _:b665857373 . _:b668378793 . _:b668378798 . _:b665857372 . _:b668378799 . _:b662810096 . _:b668378796 . _:b668378797 . _:b668716725 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b665176898 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674348763 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . "Alan Ruttenberg"@en . _:b662810097 . _:b662810098 . _:b662810099 . _:b668717002 . _:b662810092 . _:b662810093 . _:b668378714 . _:b662810094 . _:b668378715 . _:b662810095 . _:b668378712 . _:b662810088 . _:b678849769 . _:b668378901 . _:b668378713 . _:b662810089 . _:b662810090 . _:b662809704 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662810091 . _:b662809705 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662810084 . _:b668378656 . _:b662810085 . _:b665793930 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b662810086 . _:b665970840 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b662810087 . _:b662810080 . _:b662810081 . _:b668716356 "(forall (x) (if (TemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [100-001] " . _:b668378908 . _:b662810082 . _:b665971027 . _:b665793914 . _:b662810083 . _:b668716788 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b662810076 . _:b662810077 . _:b665793913 . _:b665793918 . _:b662810078 . _:b665857079 . _:b668378684 . _:b665793919 . _:b662810079 . _:b668378685 . _:b662810072 . _:b662810073 . _:b662810074 . _:b665971034 . _:b662810075 . _:b668378681 . _:b662810068 . _:b668378682 . _:b668378672 . _:b662810169 . _:b662810069 . _:b668378683 . _:b662810170 . _:b662810070 . _:b665793895 . _:b662810171 . _:b662810071 . _:b665793894 . _:b662810064 . _:b665793893 . _:b662810065 . _:b662810066 . _:b662810067 . _:b668378894 . _:b662810060 . _:b665971020 . _:b662810061 . _:b665793896 . _:b662810062 . _:b665459329 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b662810063 . _:b662810164 . _:b662810056 . _:b665793900 . _:b662810057 . _:b665793901 . _:b662810058 . _:b668378626 . _:b662810059 . _:b662810052 . _:b668716795 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b662810053 . _:b668378625 . _:b675160616 . _:b662810054 . _:b668378624 . _:b662810055 . _:b662810048 . _:b665971393 _:b665971394 . _:b662810049 . _:b662810050 . _:b662810051 . _:b665971395 _:b665971396 . _:b665971393 _:b665971395 . _:b675160749 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665971397 _:b665971398 . _:b668378678 . _:b662810146 . _:b665122458 . _:b665971400 _:b665971402 . _:b662810147 . _:b668378677 . _:b665122112 . _:b665971402 _:b665971403 . _:b662810142 . _:b665971400 _:b665971401 . _:b668378683 . _:b665857350 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b662810138 . _:b662810141 . _:b675160454 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665971404 _:b665971405 . _:b662810139 . _:b665122450 . _:b665122120 . _:b665176936 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b674016352 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665793508 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665793536 . _:b674016750 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665122158 . _:b674348881 . _:b668378659 . _:b662810076 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b662810121 . _:b678850146 . _:b662810131 . _:b668378663 . _:b663277749 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665122151 . _:b662810129 . _:b674016757 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668378669 . _:b665795841 . _:b665795842 . _:b665795840 . _:b662810233 . _:b674348728 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b662810234 . _:b668378640 . _:b662810235 . _:b662810236 . _:b674348289 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665793644 . _:b662810237 . _:b665122152 . _:b674348693 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b662810238 . _:b662810239 . _:b665795564 . _:b665795565 . _:b665795566 . _:b665795560 . _:b668378652 . _:b674348300 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665795561 . _:b665176465 "requested by Melanie Courtot" . _:b668378653 . _:b665795562 . _:b662810116 . _:b668378654 . _:b665795563 . _:b662810117 . _:b668378655 . _:b665793570 . _:b678849900 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665793571 . _:b665793568 . _:b662810112 . _:b678850119 . _:b665793569 . _:b662810221 . _:b666093324 . _:b668378627 . _:b662810113 . _:b662810222 . _:b678849632 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665971353 _:b665971358 . _:b662810114 . _:b668378628 . _:b662810223 . _:b662810115 . _:b668716350 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665793657 . _:b663276364 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665122380 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668378634 . _:b665971359 _:b665971362 . _:b665971357 _:b665971356 . _:b665793650 . _:b665971357 _:b665971354 . _:b665971358 _:b665971357 . _:b665971356 _:b665971355 . _:b665793561 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b668378639 . _:b674016296 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665971364 _:b665971372 . _:b665971369 _:b665971368 . _:b663277896 . _:b665459381 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665971370 _:b665971369 . _:b665971371 _:b665971370 . _:b665793539 . _:b665971368 _:b665971367 . _:b665795575 . _:b665971372 _:b665971371 . _:b674348825 . _:b665795535 . _:b665795576 . _:b665971375 _:b665971374 . . _:b665795577 . _:b665795534 . _:b668378637 . _:b665793573 . _:b665795533 . _:b665795578 . _:b665793572 . _:b668378638 . _:b665971361 _:b665971360 . _:b665793572 . _:b665795532 . _:b668378639 . _:b665971362 _:b665971361 . _:b665795582 . _:b665793568 . _:b665971367 _:b665971366 . _:b665122108 . _:b665971366 _:b665971365 . _:b674016270 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665971373 _:b665971377 . _:b665795540 . _:b665971390 _:b665971391 . _:b662810190 . _:b665795539 . _:b668378640 . _:b665795538 . _:b665971388 _:b665971389 . _:b665795557 . _:b668378641 . _:b665795537 . _:b678849781 . _:b668378642 . _:b662810177 . _:b665795536 . _:b668378643 . _:b665971386 _:b665971387 . _:b665793547 . _:b678849656 . _:b665795562 . _:b674348522 . _:b665971386 _:b665971388 . _:b662810074 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665971383 _:b665971384 . _:b665795563 . _:b665795265 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665971376 _:b665971375 . _:b665971381 _:b665971382 . _:b662810183 . _:b662810073 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665176435 . _:b665793548 . _:b665971379 _:b665971381 . _:b665793566 . _:b665795536 . _:b665793540 . _:b665793567 . _:b675160985 . _:b665793551 . _:b665793541 . _:b665971379 _:b665971380 . _:b665971377 _:b665971376 . _:b665971326 _:b665971323 . _:b668378630 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665793537 . _:b665793547 . _:b665971325 _:b665971324 . _:b665793538 . _:b665971326 _:b665971325 . _:b665793539 . _:b665795545 . _:b662810273 . _:b665795546 . _:b675161058 . _:b665971322 _:b665971326 . _:b662810112 . _:b665795550 . _:b665795551 . _:b665793558 . _:b665793559 . _:b668378722 . _:b668378721 . _:b665971301 _:b665971305 . _:b668378707 . _:b665793557 . _:b668378720 . _:b665971304 _:b665971303 . _:b665971305 _:b665971304 . _:b668378708 . _:b665971305 _:b665971302 . _:b665793562 . _:b665793563 . _:b668378709 . _:b665793560 . _:b665793561 . _:b668378696 . _:b665971296 _:b665971300 . _:b665970848 . _:b678850134 . _:b665122019 "1"^^ . _:b665971299 _:b665971298 . _:b665971317 _:b665971318 . _:b665795534 . _:b668378702 . _:b665970874 . _:b665795535 . _:b668378703 . _:b665971300 _:b665971297 . _:b665176959 . _:b665122217 . _:b674348871 . _:b665971300 _:b665971299 . _:b674348685 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b674348868 . _:b665122020 "1"^^ . _:b662810269 . _:b665971285 _:b665971284 . _:b665971286 _:b665971285 . _:b662810256 . _:b665793544 . _:b665971292 _:b665971295 . _:b665793545 . _:b674348878 . _:b665793550 . _:b674348700 . _:b665122066 . _:b665971347 . _:b665971269 _:b665971270 . _:b665793549 . _:b665971176 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665971283 _:b665971286 . _:b665971295 _:b665971294 . _:b665971275 _:b665971276 . _:b665970869 . _:b662810248 . _:b665971294 _:b665971293 . _:b662810249 . _:b674348699 . _:b662810271 . _:b663277614 . _:b662810251 . _:b662810252 . _:b662810253 . _:b665971276 _:b665971279 . _:b662810254 . _:b662810255 . _:b662810240 . _:b662810241 . _:b662809646 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665971282 _:b665971283 . _:b662810242 . _:b678849539 . _:b662810244 . _:b665121979 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b662810245 . _:b665971272 _:b665971271 . _:b662810246 . _:b665971273 _:b665971272 . _:b665176987 . _:b662810173 . _:b662810247 . _:b678850131 . _:b665459403 . _:b665971270 _:b665971273 . _:b665971278 _:b665971277 . _:b662810192 . _:b662809703 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665971279 _:b665971278 . _:b674348841 . _:b665122368 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b678850001 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665971242 _:b665971240 . _:b665794026 . _:b665971239 _:b665971243 . _:b665971243 _:b665971242 . _:b678850002 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b675160749 . _:b665971234 _:b665971238 . _:b675160767 . _:b665971247 _:b665971246 . _:b663277622 . _:b675160753 . _:b662810190 . _:b675160765 . _:b665971246 _:b665971245 . _:b675160759 . _:b663277640 . _:b674348834 . _:b674016388 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668716518 . _:b665794019 . _:b665971237 _:b665971235 . _:b662810179 . _:b665971238 _:b665971237 . _:b675160760 . _:b665971244 _:b665971250 . _:b665857049 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b668716525 . _:b675160762 . _:b665971240 _:b665971241 . _:b675160761 . _:b674348828 . _:b662810185 . _:b665971253 _:b665971256 . _:b675160763 . _:b675160764 . _:b665971256 _:b665971255 . _:b665971235 _:b665971236 . _:b675160766 . _:b665971248 _:b665971247 . _:b666092689 . _:b674348820 . _:b665971255 _:b665971254 . _:b674348821 . _:b665971250 _:b665971249 . _:b674348822 . _:b675160758 . _:b668378998 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665971249 _:b665971248 . _:b665793580 . _:b675160757 . _:b665793556 . _:b665793579 . _:b665793554 . _:b665793553 . _:b663277726 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b675160752 . _:b675160755 . _:b665459424 . _:b675160754 . _:b665793567 . _:b665971214 _:b665971217 . _:b674348815 . _:b665793565 . _:b675160748 . _:b675160751 . _:b675160750 . _:b675160745 . _:b666092690 . _:b665793562 . _:b665459429 . _:b675160747 . _:b665793561 . _:b665793560 . _:b675160744 . _:b665793543 . _:b678850115 . _:b674348920 . _:b665793541 . _:b678850091 . _:b678850118 . _:b665794013 . _:b678849555 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665971216 _:b665971215 . _:b663276207 . _:b665793536 . _:b665176989 . _:b678850084 . _:b678850122 . _:b665857177 . _:b665793550 . _:b675160806 . _:b665971217 _:b665971216 . _:b678850125 . _:b665793548 . _:b665971228 _:b665971227 . _:b665971229 _:b665971228 . _:b675160802 . _:b665971231 _:b665971230 . _:b675160803 . _:b665793545 . _:b665971230 _:b665971229 . _:b675160807 . _:b675160801 . _:b662809902 . _:b675160800 . _:b665971225 _:b665971224 . _:b675160814 . _:b665971222 _:b665971231 . _:b675160809 . _:b665971226 _:b665971225 . _:b674348904 . _:b665971227 _:b665971226 . _:b665971224 _:b665971223 . _:b674348905 . _:b663276210 . _:b675160812 . _:b674348906 . _:b675160813 . _:b674348907 . _:b675160810 . _:b665857127 . _:b674348922 . _:b665857126 . _:b674348534 . _:b662809648 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b675160808 . _:b674348924 . _:b674016690 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b674348896 . _:b663276317 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b663277676 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b674348897 . _:b675160770 . _:b674348898 . _:b674348899 . _:b674348900 . _:b675160782 . _:b665122478 . _:b666093154 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b674348902 . _:b665793575 . _:b675160783 . _:b665122479 . _:b675160775 . _:b674348903 . _:b675160829 . _:b665122476 . _:b674348888 . _:b665793573 . _:b665121848 . _:b662809900 . _:b675160831 . _:b674348889 . _:b675160771 . _:b674348890 . _:b675160830 . _:b665793571 . _:b665970780 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b674348891 . _:b665793570 . _:b675160768 . _:b675160773 . _:b674348892 . _:b675160769 . _:b675160772 . _:b665857124 . _:b674348893 . _:b675160774 . _:b662809904 . _:b665793693 . _:b674348895 . _:b675160824 . _:b675160825 . _:b662809998 . _:b675160827 . _:b665793580 . _:b665176361 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b675160826 . _:b665793578 . _:b678850078 . _:b674348884 . _:b662809880 . _:b674348885 . _:b674348886 . _:b675160828 . _:b665857373 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b662809882 . _:b675160777 . _:b674348887 . _:b662809883 . _:b675160820 . _:b674348872 . _:b675160817 . _:b662809884 . _:b675160816 . _:b665856993 . _:b675160818 . _:b674348873 . _:b675160778 . _:b675160776 . _:b662809885 . _:b674348362 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b674348874 . _:b675160779 . _:b675160821 . _:b662809886 . _:b665856994 . _:b675160823 . _:b665856987 . _:b662809887 . _:b675160780 . _:b665856992 . _:b675160819 . _:b665122489 . _:b675160822 . _:b665856995 . _:b662809872 . _:b665856984 . _:b662809873 . _:b665856989 . _:b665856996 . _:b665856985 . _:b675160781 . _:b665856988 . _:b675160786 . _:b675160784 . _:b675160787 . _:b662809875 . _:b665856990 . _:b662809876 . _:b665856997 . _:b665857002 . _:b665857000 . _:b665856980 . _:b665970893 . _:b662809877 . _:b665857003 . _:b675160785 . _:b662809878 . _:b675160790 . _:b675160811 . _:b665856986 . _:b665856982 . _:b662809879 . _:b675160815 . _:b675160791 . _:b665857001 . _:b662809864 . _:b665857006 . _:b675160788 . _:b675160789 . _:b662809865 . _:b665857007 . _:b662809866 . _:b665857004 . _:b675160798 . _:b662809867 . _:b675160793 . _:b665857005 . _:b675160799 . _:b662809868 . _:b665856991 . _:b675160792 . _:b675160796 . _:b665856974 . _:b662809869 . _:b665857014 . _:b665857009 . _:b665857015 . _:b675160797 . _:b662809870 . _:b675160804 . _:b674348394 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665857008 . _:b678849633 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665857012 . _:b665856973 . _:b662809871 . _:b675160805 . _:b665857013 . _:b675160794 . _:b675160795 . _:b665856968 . _:b665857010 . _:b665856971 . _:b665857011 . _:b665856970 . _:b665857022 . _:b665856964 . _:b666092754 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665856967 . _:b662809958 . _:b665857119 . _:b665856966 . _:b665857018 . _:b665856961 . _:b665857019 . _:b665856963 . _:b674348830 . _:b665857023 . _:b665857017 . _:b665856960 . _:b662809980 . _:b665857016 . _:b662809654 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b662809981 . _:b665795504 . _:b665857020 . _:b674348523 . _:b665857021 . _:b665856965 . _:b662809962 . _:b674348884 . _:b665122519 . _:b674348824 . _:b665856969 . _:b665856975 . "2022-11-07"^^ . _:b665122529 . _:b665970723 "per discussion with Barry Smith" . _:b665856976 . _:b665970863 . _:b665857338 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665856978 . _:b674016680 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665122089 "1"^^ . _:b665122088 "1"^^ . _:b665856977 . _:b668716633 . _:b665856979 . _:b668379006 . _:b665856983 . _:b674348841 . _:b668379007 . _:b663276475 . _:b665856981 . _:b663276477 . _:b665122081 "1"^^ . _:b665970736 "per discussion with Barry Smith" . _:b665122080 "1"^^ . _:b665122087 "1"^^ . _:b665795773 . _:b668378992 . _:b665856998 . _:b665856999 . _:b678850149 . _:b665970749 "per discussion with Barry Smith" . _:b668378996 . _:b665122074 "1"^^ . _:b668378997 . _:b675160827 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b674348836 . _:b662810015 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b663276488 . _:b668379003 . _:b674348843 . _:b662809945 . _:b665122472 . _:b665970891 . _:b662809946 . _:b665122275 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b663276481 . _:b665122068 "1"^^ . _:b665970777 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b668378980 . . _:b663276482 . . _:b668378981 . . _:b668378982 . . . . _:b666092668 . _:b662810017 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665793915 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . . _:b668716338 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665857372 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b678849924 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665177018 . _:b668378991 . _:b668378983 . _:b668378982 . . _:b674348679 . _:b668378981 . _:b674348678 . _:b668378980 . _:b674348677 . _:b666093184 . _:b668378979 . _:b665176770 . _:b674348533 . _:b674348676 . _:b668378978 . _:b665122521 . _:b674348675 . _:b665459344 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b663277897 . _:b663276520 . _:b665970790 "per discussion with Barry Smith" . _:b668378986 . _:b668378985 . _:b668378984 . _:b665122015 . _:b666093185 . _:b668378629 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b668378999 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b663277757 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665458959 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . . _:b675160750 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b662810010 . _:b665793875 . _:b665793874 . _:b665971149 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665793873 . _:b662810000 . _:b663277616 . _:b665176852 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665793872 . _:b665122036 . _:b665793886 . _:b668379065 . _:b665793885 . _:b665793882 . _:b662810208 . _:b668379071 . _:b665970754 "per discussion with Barry Smith" . _:b665793861 . _:b665793860 . _:b674348324 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665795734 . _:b663276323 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b675160812 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b663276387 . _:b665793856 . _:b678850127 . _:b665793871 . "Clint Dowland"@en . _:b665793870 . "Sivaram Arabandi"@en . _:b663276390 . _:b665793868 . _:b665793867 . _:b665793866 . _:b668379024 . _:b665793910 . _:b665795837 . _:b665795838 . _:b665795839 . _:b668379028 . _:b663276435 . _:b665793905 . _:b665795833 . _:b665795832 . _:b665795835 . _:b665793919 . _:b665971329 . _:b668379032 . _:b665795834 . _:b665793917 . _:b665795831 . _:b665795828 . _:b665793914 . _:b674348597 . _:b665795830 . _:b665176570 . _:b665793869 . _:b665795825 . _:b674348596 . _:b665793870 . _:b674016727 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b668379038 . _:b663276426 . _:b665793912 . _:b663276429 . _:b665795827 . _:b665793895 . _:b665176573 . _:b665795824 . _:b668379008 . _:b668716881 . _:b663276428 . _:b665795826 . _:b668379009 . _:b663276431 . _:b663277873 . _:b674348555 . _:b663276430 . _:b665795820 . _:b665793892 . _:b665971380 . _:b665795823 . _:b663277762 . _:b665793890 . _:b665795821 . _:b663277761 . _:b665793889 . _:b674348553 . _:b665795816 . _:b663276421 . _:b665793903 . _:b665795819 . . _:b668716889 . _:b665176582 . _:b665795818 . _:b663276420 . _:b665971387 . _:b665795817 . _:b665793901 . _:b675160841 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b668716895 . _:b665793899 . _:b668379021 . _:b665459253 . _:b668379022 . _:b665793896 . _:b668379023 . _:b668379012 . _:b668379091 . _:b668379090 . _:b668716331 . _:b668379089 . _:b674016311 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857380 . _:b668378679 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665177025 . _:b668379008 . _:b678850150 . _:b668379009 . _:b666093086 . _:b668716868 . _:b668379010 . _:b666092955 . _:b666093132 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b668379011 . _:b665971146 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b668716874 . _:b668716321 . _:b663277911 . _:b666093080 . _:b665857379 . _:b662810002 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b663277803 . _:b666093079 . _:b666093098 . _:b666093077 . _:b665857386 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b666093076 . _:b665122373 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b666093099 . _:b665176476 . _:b674348682 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665176574 . _:b668716312 . _:b666093100 . _:b666093073 . _:b665459493 . _:b674348551 . _:b666093101 . _:b666093072 . _:b666093103 . _:b666093089 . _:b666093102 . _:b668716307 . _:b666092760 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b666093074 . _:b668716316 . _:b665793553 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b668716309 . _:b666093107 . _:b666093106 . _:b666093069 . _:b666093070 . _:b668716304 . _:b666093110 . _:b665122309 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b666093111 . _:b666093066 . _:b668716921 . _:b666093108 . _:b666093067 . _:b666093109 . _:b668716315 . _:b678850203 . _:b668716308 . _:b666093114 . _:b666093118 . _:b666093116 . _:b674348763 . _:b666093117 . _:b666093119 . _:b666093112 . _:b666093115 . _:b674348661 . _:b665122315 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b666093113 . _:b663276506 . _:b668716288 . _:b666093151 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b668716298 . _:b663276376 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b662809711 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b663277877 . _:b668716301 . _:b668379076 . _:b674348651 . _:b668716293 . _:b665793842 . _:b668716302 . _:b668379077 . _:b678850196 . _:b668716900 . _:b665793841 . _:b668379078 . _:b665793840 . _:b665793855 . _:b668716297 . _:b666093037 . _:b665793854 . _:b666092908 . _:b674348963 . _:b666093104 . _:b678850189 . _:b666093105 . _:b665793850 . _:b668716294 . _:b665793849 . _:b668716303 . _:b668716819 . _:b662809641 . _:b665795223 . _:b668379072 . _:b665459009 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665795222 . _:b674348632 . _:b665176497 . _:b665176502 . _:b666093071 . _:b666093087 . _:b665459292 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674348613 . _:b666093096 . _:b665459393 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665795225 . _:b666093075 . _:b678850182 . _:b665795224 . _:b666093092 . _:b665793839 . _:b674348609 . _:b665795230 . _:b665122229 . _:b665795229 . _:b666093085 . _:b666093097 . _:b662809743 . _:b666093082 . _:b675160689 . _:b666093084 . _:b666093093 . _:b666093081 . _:b666093088 . _:b674348631 . _:b666093090 . _:b666093083 . _:b666093095 . _:b666093091 . _:b678849908 . _:b665795702 . _:b666093094 . _:b668379218 . _:b668379219 . _:b668379216 . _:b668379217 . _:b668379222 . _:b668379223 . _:b668379220 . _:b668379221 . _:b662809631 . _:b668379226 . _:b668379227 . _:b668379224 . _:b668379225 . _:b666093145 . _:b668379230 . _:b666093146 . _:b666093158 . _:b668379231 . _:b668379228 . _:b668379229 . _:b666093147 . _:b668379202 . _:b666093144 . _:b665856983 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b668379203 . _:b666093153 . _:b666093149 . _:b668379200 . _:b668379201 . _:b668379206 . _:b668379207 . _:b666093148 . _:b668379204 . _:b666093152 . _:b666093150 . _:b668379205 . _:b665176332 . _:b668379210 . _:b666093157 . _:b668379211 . _:b668379208 . _:b666093159 . _:b668379209 . _:b668379214 . _:b666093156 . _:b668379215 . _:b666093154 . _:b668379212 . _:b668379213 . _:b675160381 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b666093155 . _:b668379250 . _:b666093138 . _:b668379251 . _:b668379248 . _:b668379249 . _:b668379254 . _:b668379255 . _:b668379252 . _:b666093160 . _:b668379253 . _:b665970807 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b666093143 . _:b668379258 . _:b668379259 . _:b668379256 . _:b668716812 . _:b668379257 . _:b665459006 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b668379262 . _:b666093142 . _:b668379263 . _:b665795248 . _:b666093137 . _:b666093139 . _:b678849762 . _:b668716851 . _:b668379260 . _:b666093141 . _:b668379261 . _:b668379234 . _:b668379235 . _:b666093140 . _:b668379232 . _:b668379233 . _:b668379238 . _:b668379239 . _:b674348316 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b668379236 . _:b663277760 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668379237 . _:b665176324 . _:b668379242 . _:b662809611 . _:b668379243 . _:b665795255 . _:b668379240 . _:b668379241 . _:b668379246 . _:b662809612 . _:b668379247 . _:b668379244 . _:b668379245 . _:b668379154 . _:b668379155 . _:b668379152 . _:b663276513 . _:b668379153 . _:b668379158 . _:b668379159 . _:b665795258 . _:b668379156 . _:b668379157 . _:b668379162 . _:b668379163 . _:b666093133 . _:b668379160 . _:b665795259 . _:b668379161 . _:b668379166 . _:b668379167 . _:b665795256 . _:b668379164 . _:b665122131 . _:b668379165 . _:b668379138 . _:b668379139 . _:b666093175 . _:b668379136 . _:b665795257 . _:b668379137 . _:b668379142 . _:b662809633 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b675160857 . _:b668379143 . _:b668379140 . _:b666093174 . _:b668379141 . _:b668379146 . _:b674348665 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b668379147 . _:b675160856 . _:b668379144 . _:b666093173 . _:b675160859 . _:b668379145 . _:b668379150 . _:b668379151 . _:b666093172 . _:b668379148 . _:b665795260 . _:b668379149 . _:b665176350 . _:b668379186 . _:b665122362 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b668379187 . _:b668379184 . _:b668379185 . _:b668379190 . _:b668379191 . _:b668379188 . . _:b665176362 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b668379189 . _:b668379194 . _:b665122323 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b668379195 . _:b668379192 . _:b668379193 . _:b668379198 . _:b668379199 . _:b668379196 . _:b668379197 . _:b675160860 . _:b668379170 . _:b668379171 . _:b668379168 . _:b668379169 . _:b668379174 . _:b668379175 . _:b668379172 . _:b668716833 . _:b668379173 . _:b668379178 . _:b666093126 . _:b668379179 . _:b662809810 . _:b666093183 . _:b668379176 . _:b665971394 . _:b668379177 . _:b666093177 . _:b668379182 . _:b666093127 . _:b668379183 . _:b668379180 . _:b675160858 . _:b666093176 . _:b668379181 . _:b675160848 . _:b668716838 . _:b666092816 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b675160849 . _:b663276311 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b668379048 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665795242 . _:b666093179 . _:b666093124 . _:b666093125 . _:b665795243 . _:b666093178 . _:b663277904 . _:b665971401 . _:b662809816 . _:b666093182 . _:b678849861 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666093123 . _:b675160846 . _:b668716841 . _:b675160843 . _:b666093122 . _:b678849862 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795247 . _:b666093120 . _:b675160841 . _:b666093121 . _:b665793546 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b666093181 . _:b675160840 . _:b666093180 "requested by Melanie Courtot" . _:b666093170 . _:b666093129 . _:b666093134 . . _:b662809823 . _:b662809804 . _:b666093135 . _:b666093171 . _:b675160847 . _:b666093131 . _:b666093132 . _:b666093169 . _:b675160842 . _:b675160844 . _:b666093180 . _:b675160845 . _:b666093130 . _:b666093168 . _:b668716466 . _:b665176903 . _:b666093128 . _:b668379282 . _:b668379283 . _:b666093163 . _:b668379280 . _:b668379281 . _:b666093164 . _:b675160839 . _:b668379286 . _:b666093162 . _:b668379287 . _:b668379284 . _:b668379285 . _:b668716478 . _:b668379288 . _:b668379289 . _:b668716479 . _:b668716471 . _:b668379266 . _:b668379267 . _:b665971389 . _:b668379264 . _:b668379265 . _:b668379270 . _:b666093166 . _:b675160835 . _:b668379271 . _:b666093167 . _:b668379268 . _:b668379269 . _:b666093161 . _:b675160836 . _:b668379274 . _:b668379275 . _:b675160834 . _:b666093136 . _:b668379272 . _:b666093165 . _:b668379273 . _:b668379278 . _:b668716467 . _:b668379279 . _:b668379276 . _:b668379277 . _:b668716468 . _:b662809821 . _:b675160837 . _:b665122277 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b662809748 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b675160832 . _:b666093151 . _:b675160833 . _:b666092781 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . . _:b675160838 . _:b668716449 . _:b668716993 . _:b663277667 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665793942 . _:b668716459 . _:b665793922 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665793940 . _:b668716460 . _:b668716998 . _:b665793939 . _:b668716462 . _:b668716463 . _:b663276271 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665793936 . _:b668716448 . _:b675160851 . _:b675160863 . _:b675160855 . _:b668717000 . _:b675160850 . _:b665793949 . _:b675160854 . _:b665793947 . _:b668716461 . _:b665122240 . _:b675160853 . _:b665793944 . _:b665122254 . _:b668716440 . _:b675160852 . _:b678849977 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b678849709 . _:b674348780 . _:b668716442 . _:b674348798 . _:b665793925 . _:b665793923 . _:b668716445 . _:b674348797 . _:b675160861 . _:b665793922 . _:b675160458 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b668716446 . _:b674348782 . _:b668716447 . _:b674348903 . _:b674348792 . _:b675160862 . _:b678850138 . _:b674348793 . _:b668716441 . _:b665793934 . _:b665176468 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665122258 . _:b665793931 . _:b665793930 . _:b663276250 . _:b662810301 . _:b665793929 . _:b668716439 . _:b674348789 . _:b662810080 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665459325 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b674348790 . _:b662810116 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b662810303 . _:b665971396 . _:b662810300 . _:b665122327 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b662810302 . _:b665459265 . _:b678849722 . _:b662810296 . _:b662810299 . _:b662810297 . _:b675160380 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b662809762 . _:b662810292 . _:b665459023 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b674016754 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b662810295 . _:b662810294 . _:b662810293 . _:b662810289 . _:b662809760 . _:b662809778 . _:b662810290 . _:b678849715 . _:b662810288 . _:b674348772 . _:b662809629 . _:b665971403 . _:b665177050 . _:b662809777 . _:b662810285 . _:b662810286 . _:b668716536 . _:b662809769 . _:b668716528 . _:b662810287 . _:b662809772 . _:b668716537 . _:b662809770 . _:b662809773 . _:b668716538 . _:b665793949 . _:b668716539 . _:b665793948 . _:b668716540 . _:b668716541 . _:b668716542 . _:b668716543 . _:b668716692 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b668716529 . _:b668716530 . _:b668716952 . _:b666093178 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b663277936 . _:b668716533 . _:b668716957 . _:b668716534 . _:b668716535 . _:b665122110 . _:b674016361 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b663277943 . _:b678849602 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665122109 . _:b678849603 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b668716524 . _:b662809752 . _:b665122107 . _:b668716525 . _:b668716519 . _:b668716514 . _:b663277950 . _:b668716515 . _:b668716523 . _:b674348649 . _:b668716516 . _:b668716517 . _:b665856981 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b668716518 . _:b668716979 . _:b665971025 . _:b668716504 . _:b668379246 . _:b668716497 . _:b668716977 . _:b668716507 . _:b674348892 . _:b668379243 . _:b663277929 . _:b668716508 . _:b665459376 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b668716509 . _:b668716563 . _:b668716511 . _:b665122111 . _:b668716503 . _:b668716496 . _:b668716986 . _:b665971032 . _:b662810109 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b668716498 . _:b668716984 . _:b668716991 . _:b668716501 . _:b668716502 . _:b668716510 . _:b665795198 . _:b665795199 . _:b668716488 . _:b668716480 . _:b674348515 . _:b668716489 . _:b668716961 . _:b665971011 . _:b665795190 . _:b668716490 . _:b665795189 . _:b662809852 . _:b668716491 . _:b668716492 . _:b662809853 . _:b668716493 . _:b662809854 . _:b668716494 . _:b665795185 . _:b668716495 . _:b665795184 . _:b668716970 . _:b665795199 . _:b668716481 . _:b665971018 . _:b665795197 . _:b665795196 . _:b668716484 . _:b665971232 . _:b665795195 . _:b668716485 . _:b668716486 . _:b668716487 . _:b675160422 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665971105 "per discussion with Barry Smith" . _:b665795135 . _:b668716624 . _:b668716631 . _:b674348467 . _:b665795171 . _:b668716629 . _:b665795170 . _:b665122152 . _:b665971118 "per discussion with Barry Smith" . _:b665795333 . _:b665795169 . _:b665793831 "per discussion with Barry Smith" . _:b674348455 . _:b665795168 . _:b668716634 . _:b668716861 . _:b668716735 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665795183 . _:b665122114 . _:b665795179 . _:b674348474 . _:b665795178 . _:b665122160 . _:b665122118 . _:b668716636 . _:b668716610 . _:b665122121 . _:b678849535 . _:b668716608 . _:b666093084 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665971123 "per discussion with Barry Smith" . _:b665121906 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b668716341 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b668716615 . _:b662809821 . _:b665793844 "per discussion with Barry Smith" . _:b665856962 . _:b665793875 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b668716323 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b662809808 . _:b665971260 . _:b668716617 . _:b663277594 . _:b668716622 . _:b674348472 . _:b662809814 . _:b674348292 . _:b674348461 . _:b662809800 . _:b663276282 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665459255 . _:b662809801 . _:b668716658 . _:b675160823 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b662809802 . _:b663276467 . _:b665122120 . _:b668716660 . _:b662810309 . _:b662810308 . _:b674016321 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b662810311 . _:b674348675 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665795275 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b662810310 . _:b662809795 . _:b668716664 . _:b665971092 "per discussion with Barry Smith" . _:b662810307 . _:b665122324 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b662810304 . _:b665122483 . _:b662810306 . _:b665122480 . _:b668716668 . _:b674348403 . . _:b668716640 . _:b665970955 . _:b665793526 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b668716647 . _:b665122490 . _:b665176960 . _:b663276460 . _:b675160831 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b668716651 . _:b674348411 . _:b665458883 . _:b674348413 . _:b665971217 . _:b663276246 . _:b674348891 . _:b665795721 . . _:b665122384 . _:b665971243 . _:b668716817 . _:b674016730 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b663277782 . _:b665459513 . . _:b665795716 . _:b665459514 . _:b665971262 . _:b665459515 . _:b665459516 . _:b665459517 . _:b665971238 . _:b665459518 . _:b665795723 . _:b665459519 . _:b674348390 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665793898 "per discussion with Barry Smith" . _:b665459114 . _:b678849533 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b668716552 . _:b665459501 . _:b674016223 . _:b665459502 . _:b668716867 . _:b665459107 . _:b665459503 . _:b665459449 . _:b665795271 . _:b678849972 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b663277743 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b668378920 . _:b674348472 . _:b668716592 . _:b665795269 . _:b675160766 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665459378 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665794089 . _:b665795268 . _:b678849971 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665793862 "per discussion with Barry Smith" . _:b665795265 . _:b665122405 . _:b665122435 . _:b665793857 "per discussion with Barry Smith" . _:b668716601 . _:b665795278 . _:b674348465 . _:b665795276 . _:b668716468 . _:b674016358 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665795273 . _:b665971159 "per discussion with Barry Smith" . _:b668379090 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665795278 . _:b665795277 . _:b668716583 . _:b674348459 . _:b668378696 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b663277592 . _:b665795708 . _:b678849758 . _:b665176621 . _:b675160472 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665459470 . _:b674348451 . _:b674348961 . _:b674348962 . _:b668716588 . _:b674348452 . _:b674348960 . _:b665459457 . _:b674348453 . _:b665795700 . _:b665795797 . _:b665795701 . _:b665795702 . _:b674348957 . _:b674348958 . _:b674348959 . _:b665459463 . _:b666093134 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b674348953 . _:b674348952 . _:b674348955 . _:b674348446 . _:b674348954 . _:b665970960 . _:b665795695 . _:b665122130 . _:b665122131 . _:b665122128 . _:b665122129 . _:b674348951 . _:b665122134 . _:b665122135 . _:b665122132 . _:b665122133 . _:b674348948 . _:b665970945 . _:b665122138 . _:b665122139 . _:b674348950 . _:b665795800 . _:b665122136 . _:b665122137 . _:b665122142 . _:b668716887 . _:b665122143 . _:b674348945 . _:b665122140 . _:b665122141 . _:b665122114 . _:b665122115 . _:b665122112 . _:b665122113 . _:b665122118 . _:b665122119 . _:b674348947 . _:b665122116 . _:b678849608 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b665122117 . _:b674348944 . _:b665970949 . _:b665122122 . _:b665122123 . _:b665122120 . _:b674348946 . _:b665122121 . _:b665122126 . _:b665459553 . _:b665122127 . _:b665122124 . _:b665122125 . _:b665122162 . _:b665795221 . _:b674348940 . _:b665122163 . _:b665795660 . _:b665795678 . _:b665122160 . _:b665122161 . _:b665970952 . _:b665122166 . _:b665122167 . _:b674348943 . _:b665122164 . _:b665122165 . _:b674348428 . _:b665122170 . _:b666092701 . _:b665122171 . _:b665795219 . _:b665122168 . _:b674348429 . _:b665122169 . _:b674348941 . _:b666092718 . _:b665122174 . _:b665795218 . _:b665122175 . _:b665122172 . _:b665795677 . _:b665122173 . _:b665122146 . _:b668716894 . _:b665122147 . _:b674348936 . _:b666092706 . _:b665122144 . _:b666092703 . _:b665122145 . _:b665795662 . _:b665122150 . _:b665122151 . _:b666092700 . _:b674348939 . _:b674348424 . _:b665122148 . _:b665122149 . _:b665122154 . _:b665122155 . _:b674348938 . _:b665122152 . _:b665795672 . _:b674348937 . _:b665122153 . _:b665122158 . _:b665795230 . _:b665122159 . _:b665795673 . _:b665122156 . _:b666092697 . _:b665122157 . _:b665122066 . _:b665122067 . _:b665122064 . _:b665122065 . _:b674348423 . _:b666092698 . _:b665122070 . _:b665459073 . _:b665122071 . _:b665795228 . _:b665122068 . _:b665122069 . _:b665857546 . _:b665122074 . _:b665122075 . _:b665122072 . _:b665122073 . _:b666092713 . _:b665122078 . _:b665122079 . _:b666092716 . _:b665122076 . _:b665122077 . _:b665122050 . _:b674348420 . _:b665795225 . _:b665122051 . _:b665122048 . _:b665122049 . _:b666092715 . _:b674348421 . _:b665122054 . _:b665795224 . _:b665122055 . _:b665122052 . _:b665122053 . _:b665795669 . _:b665122058 . _:b665122059 . _:b665122056 . _:b665122057 . _:b665795670 . _:b665122062 . _:b665176302 . _:b665122063 . _:b666092712 . _:b665122060 . _:b665122061 . _:b665122098 . _:b674348536 . _:b665122099 . _:b665122096 . _:b665122097 . _:b665122102 . _:b674348537 . _:b665795204 . _:b665122103 . _:b666092714 . _:b665122100 . _:b665122101 . _:b665122106 . _:b674348538 . _:b665795203 . _:b665122107 . _:b665122104 . _:b665122105 . _:b665122110 . _:b665795202 . _:b665122111 . _:b665122108 . _:b665122109 . _:b665122082 . _:b665795201 . _:b665122083 . _:b665122080 . _:b665122081 . _:b665122086 . _:b665795200 . _:b665122087 . _:b665122084 . _:b665122085 . _:b665122090 . _:b665795215 . _:b665122091 . _:b665122088 . _:b665122089 . _:b665122094 . _:b665795214 . _:b665122095 . _:b665122092 . _:b665122093 . _:b665122258 . _:b674348594 . _:b674348528 . _:b665122259 . _:b665122256 . _:b665122257 . _:b665122262 . _:b674348529 . _:b668716693 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665459549 . _:b665122263 . _:b665122260 . _:b665122261 . _:b665122266 . _:b674348530 . _:b665795211 . _:b665122267 . _:b665795652 . _:b665122264 . _:b665122265 . _:b665122270 . _:b674348531 . _:b665122271 . _:b665122268 . _:b665122269 . _:b665122242 . _:b665459536 . _:b665122243 . _:b665122240 . _:b666092730 . _:b665122241 . _:b665122246 . _:b674348533 . _:b666092731 . _:b665122247 . _:b666092729 . _:b665122244 . _:b666092733 . _:b665122245 . _:b665122250 . _:b674348534 . _:b666092732 . _:b678849532 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665122251 . _:b666092734 . _:b665122248 . _:b665122249 . _:b665122254 . _:b674348535 . _:b665795254 . _:b665122255 . _:b665122252 . _:b665122253 . _:b665122290 . _:b674348520 . _:b665122291 . _:b665122288 . _:b665122289 . _:b666092720 . _:b674348521 . _:b665122294 . _:b665795768 . _:b665795252 . _:b665122295 . _:b665122292 . _:b665122293 . _:b665795769 . _:b674348522 . _:b665122298 . _:b665795251 . _:b665122299 . _:b665122296 . _:b665122297 . _:b665795770 . _:b674348523 . _:b665122302 . _:b665122303 . _:b665122300 . _:b665122301 . _:b665795771 . _:b674348524 . _:b665122274 . _:b665459528 . _:b665122275 . _:b665122272 . _:b665122273 . _:b665795772 . _:b665122278 . _:b665459529 . _:b665122279 . _:b665795248 . _:b666092723 . _:b665122276 . _:b665122277 . _:b665176589 . _:b674348526 . _:b665122282 . _:b665795773 . _:b665795263 . _:b665122283 . _:b665459551 . _:b665122280 . _:b665121993 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665122281 . _:b665122286 . _:b674348527 . _:b674348306 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665459531 . _:b665122287 . _:b665122284 . _:b665122285 . _:b665795775 . _:b665122194 . _:b665459532 . _:b665122195 . _:b665122192 . _:b665122193 . _:b665122198 . _:b665459533 . _:b665122199 . _:b665795260 . _:b666092735 . _:b665122196 . _:b665122197 . _:b665122202 . _:b665459534 . _:b665122203 . _:b665795259 . _:b666092728 . _:b665122200 . _:b663276319 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665122201 . _:b665122206 . _:b674348515 . _:b665459535 . _:b665122207 . _:b665795258 . _:b665122204 . _:b665122205 . _:b665122178 . _:b674348516 . _:b665459520 . _:b665122179 . _:b665122176 . _:b666093176 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665122177 . _:b665795764 . _:b674348517 . _:b665122182 . _:b665459521 . _:b665122183 . _:b665122180 . _:b665122181 . _:b665121946 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b674348518 . _:b665122186 . _:b665795765 . _:b665459522 . _:b665122187 . _:b665795239 . _:b666092725 . _:b665122184 . _:b665122185 . _:b665857015 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b674348519 . _:b665122190 . _:b665795766 . _:b666092721 . _:b665122191 . _:b666092724 . _:b665122188 . _:b665122189 . _:b666092722 . _:b674348504 . _:b665122226 . _:b665795767 . _:b665459524 . _:b665122227 . _:b666092727 . _:b665122224 . _:b665795752 . _:b665122225 . _:b665122230 . _:b674348505 . _:b665459525 . _:b665122231 . _:b666092726 . _:b665122228 . _:b665122521 . _:b668716276 . _:b665122229 . _:b665795753 . _:b665122234 . _:b665459526 . _:b665122235 . _:b665122232 . _:b665122520 . _:b668716277 . _:b665122233 . _:b666092717 . _:b665122238 . _:b665795754 . _:b665459527 . _:b665122239 . _:b665795234 . _:b663276457 . _:b665122236 . _:b665122237 . _:b665122210 . _:b665122211 . _:b665122208 . _:b668716287 . _:b665122209 . _:b665122214 . _:b665459472 . _:b665122215 . _:b665795232 . _:b666092719 . _:b665122212 . _:b665122213 . _:b668716280 . _:b665122218 . _:b665122219 . _:b665122216 . _:b665122217 . _:b668716281 . _:b665122222 . _:b665795246 . _:b665122223 . _:b665122220 . _:b665122221 . _:b665121874 . _:b665121875 . _:b665121872 . _:b665121873 . _:b665121878 . _:b665121879 . _:b665121876 . _:b666092708 . _:b665121877 . _:b665121882 . _:b665795243 . _:b665121883 . _:b665121880 . _:b665121881 . _:b665121886 . _:b666092710 . _:b665121887 . _:b666092711 . _:b665121884 . _:b665121885 . _:b668716286 . _:b665121858 . _:b665795241 . _:b665121859 . _:b665121856 . _:b665121857 . _:b665121862 . _:b665121863 . _:b665121860 . _:b666092704 . _:b665121861 . _:b665121866 . _:b668716674 . _:b665121867 . _:b665795428 . _:b666092705 . _:b665121864 . _:b663276262 . _:b665122527 . _:b678849955 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b674348503 . _:b665121865 . _:b665121870 . _:b665121871 . _:b665795431 . _:b665121868 . _:b665121869 . _:b665121906 . _:b666092707 . _:b665121907 . _:b665459470 . _:b665121904 . _:b666092702 . _:b665121905 . _:b665121910 . _:b668716679 . _:b665121911 . _:b663276261 . _:b665121908 . _:b665121909 . _:b665121914 . _:b665121915 . _:b665177041 . _:b665121912 . _:b665121913 . _:b665121918 . _:b665121919 . _:b665121916 . _:b665121917 . _:b665121890 . _:b665121891 . _:b665121888 . _:b665121889 . _:b666092764 . _:b665121894 . _:b665121895 . _:b665121892 . _:b665121893 . _:b665121898 . _:b668716682 . _:b665459459 . _:b665121899 . _:b665177045 . _:b665121896 . _:b665121897 . _:b665121902 . _:b665121903 . _:b665121900 . _:b665121901 . _:b662809740 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b674348296 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665177048 . _:b674348394 . _:b668716686 . _:b668716269 . _:b665795643 . _:b668716270 . _:b666092783 . _:b665459465 . _:b665122089 . _:b666092782 . _:b666092757 . _:b666092758 . _:b665121842 . _:b665121843 . _:b665121840 . _:b665121841 . _:b665121846 . _:b665121847 . _:b665121844 . _:b666092787 . _:b665121845 . _:b665795721 . _:b665121850 . _:b665121851 . _:b665121848 . _:b665121849 . _:b665121854 . _:b665121855 . _:b666092789 . _:b665121852 . _:b665121853 . _:b675160417 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665122081 . _:b674016900 . _:b678849492 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666092785 . _:b678849493 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666092784 . _:b675160475 . _:b665121884 . _:b665121838 . _:b665121839 . _:b675160483 . _:b665122002 . _:b675160474 . _:b666092791 . _:b675160494 . _:b675160486 . _:b675160482 . _:b665122003 . _:b666092786 . _:b665122000 . _:b666092788 . _:b665122001 . _:b665122006 . _:b675160481 . _:b666092790 . _:b675160485 . _:b665122007 . _:b665122004 . _:b665122005 . _:b675160477 . _:b665122010 . _:b675160472 . _:b666092736 . _:b665122011 . _:b665122008 . _:b665795714 . _:b665122009 . _:b665122014 . _:b675160478 . _:b665122015 . _:b665122012 . _:b665122013 . _:b662809577 . _:b665121986 . _:b665121987 . _:b674348592 . _:b665121984 . _:b675160479 . _:b675160473 . _:b665121985 . _:b662809576 . _:b675160476 . _:b665121990 . _:b665121991 . _:b665121988 . _:b665121989 . _:b665121994 . _:b675160484 . _:b665121995 . _:b665121992 . _:b665121993 . _:b674348593 . _:b665122376 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665121998 . _:b665121999 . _:b665177038 . _:b665121996 . _:b665121997 . _:b665122034 . _:b665122035 . _:b674348588 . _:b665122032 . _:b665122033 . _:b665122038 . _:b665122039 . _:b665122036 . _:b675160470 . _:b674348591 . _:b665122037 . _:b665122042 . _:b666092738 . _:b674348590 . _:b665122043 . _:b665122040 . _:b666092799 . _:b675160471 . _:b674348589 . _:b665122041 . _:b666092737 . _:b666092739 . _:b666092794 . _:b675160493 . _:b665122046 . _:b665122047 . _:b674348585 . _:b665122044 . _:b666092793 . _:b674348586 . _:b665122045 . _:b665176601 . _:b675160492 . _:b665122018 . _:b665122019 . _:b665122016 . _:b674348584 . _:b665121885 . _:b665122017 . _:b665122022 . _:b665122023 . _:b665122020 . _:b665122021 . _:b666092798 . _:b665122026 . _:b665122027 . _:b666092792 . _:b665122024 . _:b666092743 . _:b665122025 . _:b665122030 . _:b675160457 . _:b665122031 . _:b675160459 . _:b674348581 . _:b666092742 . _:b675160456 . _:b665122028 . _:b666092797 . _:b674348582 . _:b665122029 . _:b665121938 . _:b665121939 . _:b665121936 . _:b665121937 . _:b666092796 . _:b665121942 . _:b666092741 . _:b665121943 . _:b674348583 . _:b666092795 . _:b665121940 . _:b666092740 . _:b665121941 . _:b665121946 . _:b675160458 . _:b666092748 . _:b665121947 . _:b666092750 . _:b665121944 . _:b665121954 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665121945 . _:b665121950 . _:b665121951 . _:b666092751 . _:b674348577 . _:b665121948 . _:b666092746 . _:b665121949 . _:b665121922 . _:b666092744 . _:b674348576 . _:b665121923 . _:b665121889 . _:b665121908 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665121920 . _:b665121921 . _:b674348579 . _:b666092745 . _:b665121926 . _:b666092749 . _:b665121927 . _:b665121924 . _:b668716856 . _:b665121863 . _:b665176829 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665121925 . _:b665121930 . _:b668378721 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665121931 . _:b674348578 . _:b665121928 . _:b668716857 . _:b665121929 . _:b668716849 . _:b665121934 . _:b675160448 . _:b665121935 . _:b665971037 . _:b668716858 . _:b665121932 . _:b662809589 . _:b665121933 . _:b665121970 . _:b675160449 . _:b665121971 . _:b665121968 . _:b668716859 . _:b665121969 . _:b674348575 . _:b665121974 . _:b665122297 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b668716690 . _:b665121975 . _:b666092747 . _:b665121972 . _:b675160452 . _:b668716860 . _:b665121973 . _:b674348572 . _:b666092759 . _:b665121978 . _:b665121979 . _:b674348574 . _:b665121976 . _:b668716861 . _:b665122232 . _:b665121977 . _:b665121982 . _:b675160450 . _:b665121983 . _:b674348569 . _:b665459197 . _:b668716862 . _:b665121980 . _:b665122103 . _:b666092777 . _:b665795284 _:b665795283 . _:b665121981 . _:b666092779 . _:b665121954 . _:b665121955 . _:b666092778 . _:b675160454 . _:b668716863 . _:b665121952 . _:b665795285 _:b665795284 . _:b665121953 . _:b675160451 . _:b665176970 . _:b674016385 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665121958 . _:b665121959 . _:b674348571 . _:b665459199 . _:b675160453 . _:b668716848 . _:b665121956 . _:b666092776 . _:b666092756 . _:b666092754 . _:b674348568 . _:b665121957 . _:b665459196 . _:b665121962 . _:b665121963 . _:b665121960 . _:b675160455 . _:b674348570 . _:b665459198 . _:b665121961 . _:b666092755 . _:b666092780 . _:b665121966 . _:b665121967 . _:b665121964 . _:b668716850 . _:b665121965 . _:b666092781 . _:b666092752 . _:b666092753 . _:b674348567 . _:b665459195 . _:b666092773 . _:b666092766 . _:b665795292 _:b665795291 . _:b665795282 _:b665795285 . _:b666092774 . _:b668716853 . _:b665795293 _:b665795292 . _:b666092767 . _:b666092760 . _:b668716854 . _:b666092765 . _:b662809593 . _:b666092768 . _:b666092772 . _:b665795295 _:b665795294 . _:b666092770 . _:b668716855 . _:b666092769 . _:b666092771 . _:b666092762 . _:b666092763 . _:b665795294 _:b665795293 . _:b668716722 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b666092775 . _:b675160461 . _:b665795290 _:b665795299 . _:b666092761 . _:b675160460 . _:b665857291 . _:b668716835 . _:b675160463 . _:b665795800 . _:b675160462 . _:b668378611 . _:b663277880 . _:b668378612 . _:b668716893 . _:b668378613 . _:b665857287 . _:b665176965 . _:b668716847 . _:b668716832 . _:b668716840 . _:b675160490 . _:b665121860 . _:b668379104 . _:b675160466 . _:b675160488 . _:b675160491 . _:b675160465 . _:b668716836 . _:b665176925 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665122481 . _:b668716837 . _:b675160469 . _:b675160464 . _:b665122562 . _:b665122563 . _:b675160468 . _:b665122560 . _:b665122561 . _:b668378622 . _:b665122566 . _:b665122567 . _:b665122564 . _:b665122565 . _:b668378623 . _:b665122570 . _:b665122571 . _:b665121871 . _:b675160467 . _:b665122568 . _:b665122569 . _:b665122574 . _:b665122575 . _:b665122572 . _:b665122573 . _:b668716818 . _:b665795710 . _:b675160489 . _:b674348902 . _:b665795784 . _:b668716828 . _:b675160480 . _:b665122489 . _:b674348310 . _:b665795785 . _:b665795324 _:b665795323 . _:b665176577 . _:b668716829 . "Bjoern Peters"@en . _:b674348309 . _:b665795786 . _:b665176792 . _:b674348308 . _:b665795787 . _:b665795312 _:b665795318 . _:b668716831 . _:b674348307 . _:b675160487 . _:b665176580 . _:b668716816 . _:b674348306 . _:b665795802 . _:b665795323 _:b665795322 . _:b668716817 . _:b665795804 . _:b665795308 _:b665795309 . _:b665177069 . _:b665795595 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665795776 . _:b665795777 . _:b665795704 . _:b665795321 _:b665795324 . _:b665795778 . _:b665795318 _:b665795317 . _:b668716830 . _:b665795779 . _:b665795316 _:b665795315 . _:b665795317 _:b665795316 . _:b665795780 . _:b668716808 . _:b665122477 . _:b674016274 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b668716809 . _:b665795314 _:b665795313 . _:b665795782 . _:b665795315 _:b665795314 . _:b665795783 . _:b665121885 . _:b668716811 . _:b665795384 . _:b665795303 _:b665795304 . _:b665177042 . _:b665795365 . _:b665795385 . _:b668716814 . _:b665795305 _:b665795303 . _:b668716815 . _:b665795306 _:b665795305 . _:b668378701 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665795302 _:b665795306 . _:b665795310 _:b665795308 . _:b665795296 _:b665795295 . _:b665458974 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b668716810 . _:b665795311 _:b665795310 . _:b665795298 _:b665795297 . _:b665795299 _:b665795298 . _:b674348322 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665176800 . _:b663277872 . _:b663277596 . _:b665795297 _:b665795296 . _:b668716920 . _:b668378615 . _:b668716305 . _:b665795383 . _:b678849586 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b668378614 . _:b665795404 . _:b668716923 . _:b668378613 . _:b665970888 . _:b668716924 . _:b665795307 _:b665795311 . _:b668378612 . _:b668716310 . _:b665971038 . _:b668716925 . _:b665795173 "per discussion with Barry Smith" . _:b668378611 . _:b668716926 . _:b668716918 . _:b668378610 . _:b665459238 . _:b668716927 . _:b668378609 . _:b665793925 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b668716912 . _:b668716913 . _:b668716313 . _:b668716914 . _:b665122386 . _:b665459260 . _:b665122387 . _:b665122384 . _:b668716915 . _:b665122385 . _:b665122390 . _:b665459261 . _:b665122391 . _:b665122388 . _:b668716916 . _:b665122389 . _:b665122394 . _:b665122395 . _:b674348280 . _:b665122392 . _:b668716917 . _:b665122393 . _:b665122398 . _:b668716317 . _:b665459443 . _:b665122399 . _:b665122396 . _:b665122397 . _:b668716504 . _:b665122370 . _:b665122371 . _:b665122368 . _:b668716919 . _:b665122369 . _:b668378617 . _:b668716291 . _:b665122374 . _:b665122375 . _:b665176818 . _:b668716904 . _:b665122372 . _:b665122373 . _:b668378616 . _:b665122378 . _:b665122379 . _:b665122376 . _:b668716905 . _:b665122377 . _:b668716897 . _:b665122382 . _:b668716289 . _:b665971041 . _:b665122383 . _:b665122380 . _:b668716906 . _:b665122381 . _:b665122418 . _:b665459242 . _:b665122419 . _:b665122416 . _:b668716907 . _:b665795352 . _:b665122417 . _:b665122422 . _:b668716295 . _:b665795540 . _:b665122423 . _:b665122420 . _:b668716908 . _:b665122421 . _:b665122426 . _:b665795539 . _:b665122427 . _:b665122424 . _:b668716909 . _:b665122425 . _:b665122430 . _:b665795538 . _:b665122431 . _:b665122428 . _:b668716910 . _:b665122429 . _:b665122402 . _:b665795537 . _:b665122403 . _:b665122400 . _:b668716911 . _:b665795191 "per discussion with Barry Smith" . _:b665122401 . _:b665122406 . _:b668716299 . _:b665122407 . _:b662809839 . _:b665122404 . _:b665122405 . _:b665122410 . _:b665122411 . _:b665122408 . _:b665122409 . _:b665122414 . _:b665122415 . _:b665122412 . _:b668716898 . _:b665795186 "per discussion with Barry Smith" . _:b665122413 . _:b665122322 . _:b665122323 . _:b665122320 . _:b668716899 . _:b665122321 . _:b665122326 . _:b665971054 . _:b665122327 . _:b665795548 . _:b665122324 . _:b665795345 . _:b665122325 . _:b665177057 . _:b665122330 . _:b665795547 . _:b665122331 . _:b665122328 . _:b665122329 . _:b665122334 . _:b665122142 . _:b665122335 . _:b665122332 . _:b668716902 . _:b665122333 . _:b665122306 . _:b665122307 . _:b668378977 . _:b665122304 . _:b668716903 . _:b665122305 . _:b665122310 . _:b665971050 . _:b665122311 . _:b665795567 . _:b665122308 . _:b665122309 . _:b665122314 . _:b665122315 . _:b665795568 . _:b665122312 . _:b665122313 . _:b665122318 . _:b665122319 . _:b665122316 . _:b665122317 . _:b665122354 . _:b665122355 . _:b665122352 . _:b665122353 . _:b668716785 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665122358 . _:b665122359 . _:b665122356 . _:b665122357 . _:b665122362 . _:b665122363 . _:b665122360 . _:b668716893 . _:b665122361 . _:b665122366 . _:b665970899 . _:b665122367 . _:b665122364 . _:b668716894 . _:b665795339 . _:b665122365 . _:b665122338 . _:b665122339 . _:b665122336 . _:b665122337 . _:b665122342 . _:b675160834 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665122343 . _:b665122340 . _:b668716880 . _:b665122341 . _:b668716888 . _:b665122346 . _:b665122347 . _:b665122344 . _:b665122115 . _:b665122345 . _:b665122350 . _:b665122351 . _:b665122348 . _:b665122254 . _:b665122349 . _:b665122514 . _:b665122515 . _:b665122512 . _:b668716883 . _:b665122513 . _:b665122518 . _:b665122519 . _:b665122516 . _:b668716884 . _:b665122517 . _:b668716892 . _:b665122522 . _:b665122523 . _:b665122520 . _:b668716885 . _:b665122521 . _:b665122526 . _:b665122527 . _:b665122524 . _:b668716886 . _:b665122525 . _:b665795331 . _:b665122498 . _:b665122499 . _:b665122496 . _:b668716887 . _:b665122497 . _:b668716794 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665795332 . _:b665122502 . _:b665122503 . _:b665122500 . _:b665122501 . _:b665795333 . _:b665122506 . _:b665122507 . _:b665122504 . _:b668716873 . _:b665122505 . _:b665122510 . _:b665122511 . _:b665122508 . _:b665122509 . _:b668716866 . _:b665122546 . _:b665795573 . _:b665122547 . _:b665122544 . _:b675160443 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665122545 . _:b665122550 . _:b665795572 . _:b665122551 . _:b665122548 . _:b668716876 . _:b665122549 . _:b665795435 . _:b668716932 . _:b665122554 . _:b665795571 . _:b665122555 . _:b665122552 . _:b668716877 . _:b665122553 . _:b665122558 . _:b665795570 . _:b665122559 . _:b665459225 . _:b668716878 . _:b665122556 . _:b665122557 . _:b665122530 . _:b665795569 . _:b665122531 . _:b665122528 . _:b665122529 . _:b665122534 . _:b665795568 . _:b665122535 . _:b665795433 . _:b665122532 . _:b668716864 . _:b665122533 . _:b668716872 . _:b665122538 . _:b665795583 . _:b665122539 . _:b665459226 . _:b668716865 . _:b665122536 . _:b665122537 . _:b665122542 . _:b665122543 . _:b665122540 . _:b665122253 . _:b665122541 . _:b665122450 . _:b665122451 . _:b665122448 . _:b668716867 . _:b665122449 . _:b665122454 . _:b666092715 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665122455 . _:b665795580 . _:b665122452 . _:b665122453 . _:b665122458 . _:b665122459 . _:b665122456 . _:b665122457 . _:b665122462 . _:b665122463 . _:b665122460 . _:b668716870 . _:b665122461 . _:b665122434 . _:b665122435 . _:b665122432 . _:b668716871 . _:b665122433 . _:b668716879 . _:b665122438 . _:b668716499 . _:b665459079 . _:b665122439 . _:b665122436 . _:b665795160 "per discussion with Barry Smith" . _:b665122437 . _:b665122442 . _:b665795559 . _:b665122443 . _:b665122440 . _:b665122441 . _:b665122446 . _:b665795558 . _:b665122447 . _:b665122444 . _:b665122445 . _:b665122482 . _:b665122483 . _:b665122480 . _:b665122481 . _:b665122486 . _:b665122487 . _:b665122484 . _:b665122485 . _:b665122490 . _:b674348520 . _:b665122491 . _:b665122488 . _:b665970922 . _:b665122489 . _:b665122494 . _:b665795554 . _:b665122495 . _:b665122492 . _:b675160380 . _:b665122493 . _:b665122466 . _:b665795553 . _:b665122467 . _:b665122464 . _:b665122465 . _:b665122470 . _:b665795552 . _:b665122471 . _:b665122468 . _:b665122469 . _:b665122474 . _:b665122475 . _:b663276348 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665122472 . _:b665970978 . _:b665122473 . _:b665122478 . _:b668716505 . _:b665795566 . _:b665122479 . _:b665122476 . _:b675160381 . _:b665122477 . _:b665795565 . _:b675160382 . _:b665795564 . _:b675160383 . _:b665795529 . _:b665122004 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b675160376 . _:b675160378 . _:b674016764 . _:b675160379 . _:b668716482 . _:b675160375 . _:b665795431 . _:b665459123 . _:b665795416 . _:b662810167 . _:b665795417 . _:b665795418 . _:b665459392 . _:b668716960 . _:b674348570 . _:b665795408 . _:b665795409 . _:b665970929 . _:b665795410 . _:b675160954 . _:b668716969 . _:b665795411 . _:b668716531 . _:b665795413 . _:b665795414 . _:b665795415 . _:b665857294 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795400 . _:b668716956 . _:b665857295 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b674348282 . _:b665795401 . _:b665795159 _:b665795158 . _:b668716949 . _:b665795402 . _:b665795152 _:b665795151 . _:b665795155 _:b665795149 . _:b665795403 . _:b665795158 _:b665795157 . _:b668716959 . _:b665795404 . _:b668716944 . _:b665459290 . _:b666092763 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b668716945 . _:b665795406 . _:b665795155 _:b665795154 . _:b668716946 . _:b665795407 . _:b675160419 . _:b675160401 . _:b668716947 . _:b675160418 . _:b668716955 . _:b665795143 _:b665795144 . _:b665795154 _:b665795153 . _:b675160416 . _:b668716948 . _:b675160417 . _:b675160422 . _:b668716950 . _:b665459280 . _:b675160423 . _:b665795395 . _:b675160413 . _:b668716951 . _:b665795396 . _:b675160414 . _:b668716936 . _:b675160406 . _:b675160421 . _:b665795397 . _:b665795149 _:b665795150 . _:b675160420 . _:b668716937 . _:b675160424 . _:b665795398 . _:b675160430 . _:b665856998 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b675160431 . _:b668716938 . _:b668716448 . _:b665795399 . _:b668716512 . _:b668716939 . _:b665795136 _:b665795135 . _:b665795156 _:b665795159 . _:b665795512 . _:b665122130 . _:b668716940 . _:b675160428 . _:b675160403 . _:b675160402 . _:b668716941 . _:b675160429 . _:b665795347 . _:b675160400 . _:b675160405 . _:b668716942 . _:b665122375 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665795493 . _:b675160425 . _:b675160427 . _:b662810046 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b675160404 . _:b668716943 . _:b678849557 . _:b675160426 . _:b665795137 _:b665795136 . _:b668716928 . _:b665795335 . _:b678849556 . _:b668716929 . _:b675160439 . _:b678849555 . _:b665793853 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b668716930 . _:b665795140 _:b665795139 . _:b665795144 _:b665795147 . _:b665795489 . _:b678849554 . _:b668716520 . _:b675160397 . _:b665795141 _:b665795140 . _:b668716931 . _:b665176642 . _:b675160437 . _:b678849553 . _:b665176643 . _:b668716932 . _:b665795148 _:b665795155 . _:b668716526 . _:b675160399 . _:b665176640 . _:b668716933 . _:b665795146 _:b665795145 . "James A. Overton"@en . _:b665795150 _:b665795152 . _:b668716934 . _:b665176641 . _:b665795354 . _:b665176646 . _:b675160434 . _:b668716935 . _:b675160432 . _:b665795147 _:b665795146 . _:b665176647 . _:b675160433 . _:b674348262 . _:b675160395 . _:b665856971 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665795138 _:b665795141 . _:b665176644 . _:b675160438 . _:b665459484 . _:b674348263 . _:b665176645 . _:b665795511 . _:b665176650 . _:b675160440 . _:b665795227 "per discussion with Barry Smith" . _:b675160444 . _:b665176651 . _:b675160445 . _:b675160388 . _:b675160389 . _:b665176648 . _:b665795112 _:b665795111 . _:b675160443 . _:b665459453 . _:b675160385 . _:b665795134 _:b665795137 . _:b665795113 _:b665795112 . _:b665176649 . _:b665459477 . _:b665176654 . _:b675160386 . _:b675160441 . _:b668716443 . _:b665795110 _:b665795113 . _:b665176655 . _:b665795128 _:b665795129 . _:b665176652 . _:b665795119 _:b665795118 . _:b675160384 . _:b665176653 . _:b675160398 . _:b665122150 . _:b665176658 . _:b674348227 . _:b665176659 . _:b675160396 . _:b675160390 . _:b665176656 . _:b675160446 . _:b665795107 _:b665795106 . _:b665795352 . _:b665176657 . _:b675160447 . _:b675160442 . _:b674348228 . _:b665176662 . _:b665795341 . _:b665176663 . _:b675160391 . _:b665176660 . _:b665176661 . _:b665795117 _:b665795120 . _:b675160393 . _:b665795109 _:b665795108 . _:b675160435 . _:b674348244 . _:b665795133 _:b665795132 . _:b665176664 . _:b675160436 . _:b675160392 . _:b665795121 _:b665795124 . _:b665795132 _:b665795128 . _:b674348240 . _:b665795129 _:b665795131 . _:b665793556 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b675160394 . _:b665970696 . _:b665795131 _:b665795130 . _:b665795127 _:b665795133 . _:b668378845 . _:b665971307 . _:b665795120 _:b665795119 . _:b665795124 _:b665795123 . _:b675160407 . _:b662810243 . _:b675160408 . _:b668716464 . _:b675160409 . _:b665795123 _:b665795122 . _:b675160411 . _:b675160410 . _:b666093185 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668716469 . _:b665857065 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665795579 . _:b668378785 . _:b675160412 . _:b675160415 . _:b662810250 . _:b668716472 . _:b668716498 . _:b665122511 . _:b665795477 . _:b665795476 . _:b668716450 . _:b665793552 . _:b662809943 "2023-12-20T04:22:41.004492"^^ . _:b665970704 . _:b665793720 . _:b665122019 . _:b665795543 . _:b665793558 . _:b665795542 . _:b665793559 . _:b665795545 . _:b665795544 . _:b666092781 . _:b665795547 . _:b665176578 . _:b665795546 . _:b665176579 . _:b665176576 . _:b668716837 . _:b662810117 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665795548 . _:b665176577 . _:b665122484 . _:b665176582 . _:b665176583 . _:b665176580 . _:b665176581 . _:b665176944 . _:b665121958 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b665793496 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665176586 . _:b665970722 . _:b665176587 . _:b665795549 . _:b665176584 . _:b665795456 _:b665795457 . _:b665176585 . _:b668379021 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665176590 . _:b665459449 . _:b665176591 . _:b665795458 _:b665795459 . _:b665795463 _:b665795464 . _:b665459450 . _:b665971263 . _:b665176588 . _:b665459451 . _:b665793578 . _:b665176589 . _:b665795461 _:b665795462 . _:b665795461 _:b665795463 . _:b665793577 . _:b665176594 . _:b665793563 . _:b665793576 . _:b665176595 . _:b665793564 . _:b665176592 . _:b665793565 . _:b665176593 . _:b665795465 _:b665795466 . _:b665176598 . _:b668716600 . _:b665176599 . _:b665122331 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665176596 . _:b665795470 _:b665795471 . _:b665795468 _:b665795470 . _:b665176597 . _:b665459444 . _:b665795468 _:b665795469 . _:b665176602 . _:b668716587 . _:b665176603 . _:b668716580 . _:b665176600 . _:b665176601 . _:b668716590 . _:b665795478 _:b665795477 . _:b665795476 _:b665795475 . _:b665176606 . _:b665176607 . _:b668716576 . _:b668716591 . _:b665176604 . _:b675160623 . _:b668716577 . _:b665795472 _:b665795473 . _:b665176605 . _:b668716578 . _:b668716586 . _:b665176610 . _:b668716579 . _:b665176611 . _:b665176608 . _:b668716581 . _:b665795486 _:b665795489 . _:b665176609 . _:b668716582 . _:b665176614 . _:b665176615 . _:b668716568 . _:b665795541 . _:b665176612 . _:b668716569 . _:b662809747 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665176613 . _:b668716570 . _:b665459426 . _:b665795481 _:b665795480 . _:b665122499 . _:b674016698 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665459278 . _:b668716571 . _:b665176618 . _:b665795479 _:b665795482 . _:b665459427 . _:b665795482 _:b665795481 . _:b665176619 . _:b668716572 . _:b666092809 . _:b668379065 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665176616 . _:b668716573 . _:b665176617 . _:b668716574 . _:b665459422 . _:b668379070 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665795531 . _:b665795498 _:b665795500 . _:b668716575 . _:b665176622 . _:b666092810 . _:b665795517 _:b665795524 . _:b665176623 . _:b668716560 . _:b665795518 _:b665795519 . _:b665459418 . _:b665795490 _:b665795493 . _:b665795500 _:b665795499 . _:b665795512 _:b665795513 . _:b665176620 . _:b668716561 . _:b665459522 . _:b665459421 . _:b665459419 . _:b665176621 . _:b668716562 . _:b666092812 . _:b665795501 _:b665795497 . _:b665176626 . _:b668716563 . _:b665795488 _:b665795487 . _:b666092813 . _:b665176627 . _:b668716564 . _:b665795502 _:b665795501 . _:b674348939 . _:b666092802 . _:b668716565 . _:b665176624 . _:b665176625 . _:b668716566 . _:b665458885 . _:b666092800 . _:b663276498 . _:b665176630 . _:b668716567 . _:b666092811 . _:b666092801 . _:b665176631 . _:b665795489 _:b665795488 . _:b665795503 _:b665795506 . _:b665176628 . _:b665795496 _:b665795502 . _:b665795519 _:b665795521 . _:b663277612 . _:b665176629 . _:b668716554 . _:b665795492 _:b665795491 . _:b665795493 _:b665795492 . _:b668716555 . _:b665176634 . _:b665970961 . _:b668716556 . _:b665176635 . _:b666092803 . _:b666092807 . _:b665795516 _:b665795515 . _:b665176632 . _:b668716557 . _:b668716549 . _:b665795507 _:b665795510 . _:b668716558 . _:b665176633 . _:b665795497 _:b665795498 . _:b665176638 . _:b668716559 . _:b665176639 . _:b668716544 . _:b665458895 . _:b665795515 _:b665795514 . _:b668716545 . _:b665176636 . _:b666092806 . _:b665176637 . _:b668716546 . _:b666092805 . _:b665176770 . _:b668716547 . _:b666092804 . _:b665176771 . _:b668716548 . _:b665795107 . _:b665176768 . _:b665459401 . _:b665795513 _:b665795516 . _:b665795509 _:b665795508 . _:b665176769 . _:b668716550 . _:b666093150 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665795510 _:b665795509 . _:b665176774 . _:b668716551 . _:b665459411 . _:b665795108 . _:b665176775 . _:b665795505 _:b665795504 . _:b665176772 . _:b665795506 _:b665795505 . _:b668716657 . _:b665176773 . _:b666092815 . _:b665459409 . _:b668716667 . _:b665176778 . _:b666092814 . _:b666092808 . _:b665176779 . _:b665176776 . _:b665795124 . _:b665176777 . _:b668716670 . _:b668716662 . _:b665459089 . _:b665459483 . _:b668716671 . _:b665176782 . _:b665176783 . _:b668716656 . _:b665176492 . _:b665176780 . _:b665795120 . _:b665176781 . _:b668716666 . _:b665176786 . _:b668716529 . _:b665176787 . _:b665459095 . _:b665176784 . _:b665176785 . _:b665795524 _:b665795518 . _:b668716663 . _:b665176790 . _:b665459083 . _:b665176791 . _:b665176788 . _:b665176789 . _:b665121928 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665176794 . _:b666092816 . _:b665176795 . _:b666093125 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665857434 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665176792 . _:b668716645 . _:b665459102 . _:b665176793 . _:b668716646 . _:b665795523 _:b665795522 . _:b665176798 . _:b665971233 . _:b665795521 _:b665795520 . _:b665176799 . _:b665176796 . _:b668716649 . _:b665176797 . _:b668716650 . _:b665795524 _:b665795523 . _:b665176802 . _:b665795527 _:b665795526 . _:b665176803 . _:b665795525 _:b665795528 . _:b665176800 . _:b665176801 . _:b665176806 . _:b668716517 . _:b668716655 . _:b665795528 _:b665795527 . _:b665176807 . _:b665176804 . _:b666093136 . _:b665970973 . _:b665176805 . _:b665176810 . _:b662810091 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665176811 . _:b674348766 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665459100 . _:b665176808 . _:b665176809 . _:b665176814 . _:b665176815 . _:b668716524 . _:b665176812 . _:b665970942 . _:b678849530 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665176813 . _:b665176818 . _:b665970946 . _:b665176819 . _:b665176816 . _:b668378877 . _:b666093148 . _:b665176817 . _:b668716638 . _:b666093149 . _:b665176822 . "An information artifact is, loosely, a dependent continuant or its bearer that is created as the result of one or more intentional processes. Examples: uniprot, the english language, the contents of this document or a printout of it, the temperature measurements from a weather balloon. For more information, see the project home page at https://github.com/information-artifact-ontology/IAO"@en . _:b668716639 . _:b665176823 . _:b663276329 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665176820 . _:b662809874 . _:b665176821 . _:b665176826 . _:b674348529 . _:b665176827 . _:b668378874 . _:b674016531 . _:b665176824 . _:b668378652 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665176825 . _:b662809881 . _:b668716321 . _:b665176830 . _:b666093131 . _:b665176831 . _:b666093130 . _:b665176828 . _:b666093129 . _:b665795673 . _:b665176829 . _:b668716446 . _:b666093128 . _:b666093135 . _:b665795652 . _:b674348507 . _:b665795368 _:b665795365 . _:b674348504 . _:b665795364 _:b665795368 . _:b678849953 . _:b665459581 . _:b674348897 . _:b665795390 _:b665795394 . _:b665971406 "2024-09-29T19:47:06.911446"^^ . _:b678849952 . _:b663277634 . _:b678849955 . _:b665795368 _:b665795367 . _:b665459583 . _:b665459580 . _:b678849954 . _:b665795373 _:b665795372 . _:b665459582 . _:b665795385 _:b665795386 . _:b665459576 . _:b674348498 . _:b665795373 _:b665795370 . _:b665795360 _:b665795363 . _:b665459579 . _:b665795372 _:b665795371 . _:b678849997 . _:b665795274 . _:b665795362 _:b665795361 . _:b665459577 . _:b665795363 _:b665795362 . _:b665459572 . _:b668378625 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b666093154 . _:b665795172 . _:b674348501 . _:b665459575 . _:b665459574 . _:b665459573 . _:b665459041 . _:b665795369 _:b665795373 . _:b665459569 . _:b666093153 . _:b665459570 . _:b665459568 . _:b665795367 _:b665795366 . _:b675160992 . _:b665459056 . _:b678849600 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665459057 . _:b665795162 . _:b665459565 . _:b665459566 . _:b665459048 . _:b663277633 . _:b666093162 . _:b665459049 . _:b678850000 . _:b665459567 . _:b665459052 . _:b666093163 . _:b678850001 . _:b663276475 . _:b678849985 . _:b665793673 . _:b666093161 . _:b666093166 . _:b665459051 . _:b668378735 . _:b666093164 . _:b665857055 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b666093165 . _:b678849969 . _:b666093142 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b678850007 . _:b678850006 . _:b665793895 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665971323 . _:b678850006 . _:b668716700 . _:b678849970 . _:b665122097 . _:b668716278 . _:b666093141 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b678850002 . _:b665795350 _:b665795351 . _:b665458955 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665971330 . _:b674348731 . _:b668716282 . _:b678850002 . _:b668716690 . _:b665793877 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b678850003 . _:b668378656 . _:b665795338 _:b665795341 . _:b665122102 . _:b668378657 . _:b674348732 . _:b678849962 . _:b665459031 . _:b678850004 . _:b668716672 . _:b678850005 . _:b665795341 _:b665795340 . _:b668716681 . _:b665795142 . _:b674348711 . _:b665795143 . _:b665795340 _:b665795339 . _:b668716676 . _:b668716685 . _:b665459451 . _:b668716678 . _:b674348714 . _:b665176766 . _:b668716267 . _:b674348713 . _:b668716492 . _:b665176767 . _:b674348712 . _:b665459039 . _:b668716673 . _:b665176764 . _:b665795347 _:b665795346 . _:b668716265 . _:b674348718 . _:b665793441 . _:b678849972 . _:b665176765 . _:b674348719 . _:b665176898 . _:b678849973 . _:b668716271 . _:b665795346 _:b665795345 . _:b665176899 . _:b678849974 . _:b668716684 . _:b665176896 . _:b678849981 . _:b678849975 . _:b668716677 . _:b668716873 . _:b665795343 _:b665795344 . _:b665795337 _:b665795338 . _:b665176897 . _:b665176902 . _:b665122090 . _:b665176903 . _:b665795344 _:b665795347 . _:b665176900 . _:b678849971 . _:b668716353 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b674016643 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665176901 . _:b665795353 _:b665795352 . _:b665795351 _:b665795354 . _:b665176906 . _:b665795354 _:b665795353 . _:b663277852 . _:b665176907 . _:b675160462 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665176904 . _:b665795454 _:b665795455 . _:b678849969 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665176905 . _:b665795441 _:b665795445 . _:b665176910 . _:b665176911 . _:b665176908 . _:b665459131 . _:b665795451 _:b665795452 . _:b665176909 . _:b665459132 . _:b665795449 _:b665795450 . _:b678849967 . _:b665176914 . _:b665795555 "per discussion with Barry Smith" . _:b665459133 . _:b665176915 . _:b665795447 _:b665795448 . _:b665176912 . _:b668378608 . _:b665795440 _:b665795439 . _:b665176913 . _:b665795444 _:b665795443 . _:b665795445 _:b665795444 . _:b675160585 . _:b665176918 . _:b674348736 . _:b665176919 . _:b665795560 "per discussion with Barry Smith" . _:b674348737 . _:b665795447 _:b665795449 . _:b665176916 . _:b665795443 _:b665795442 . _:b674348397 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b665176917 . _:b665793862 . _:b678849607 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665176922 . _:b665793863 . _:b665176923 . _:b665176920 . _:b665121955 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b674348746 . _:b678849982 . _:b674348889 . _:b665176921 . _:b668716344 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b674348747 . _:b665176926 . _:b665795434 _:b665795433 . _:b665971069 . _:b674348744 . _:b665795435 _:b665795434 . _:b665793847 . _:b665176927 . _:b674348745 . _:b678849981 . _:b665793868 . _:b665795436 _:b665795435 . _:b665793848 . _:b665176924 . _:b665795437 _:b665795436 . _:b678849973 . _:b665795427 _:b665795430 . _:b665176925 . _:b665795439 _:b665795438 . _:b665176930 . _:b665795424 _:b665795423 . _:b674348748 . _:b665795425 _:b665795422 . _:b665176931 . _:b665795438 _:b665795437 . _:b674348749 . _:b665793864 . _:b674016395 . _:b665793852 . _:b665176928 . _:b665795426 _:b665795425 . _:b665793865 . _:b665793853 . _:b678849946 . _:b665176929 . _:b668716425 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665795432 _:b665795440 . _:b665793866 . _:b665176934 . _:b665793867 . _:b665795425 _:b665795424 . _:b665176935 . _:b665176932 . _:b665795429 _:b665795428 . _:b665176933 . _:b665795430 _:b665795429 . _:b665176938 . _:b674016592 . _:b665176939 . _:b665176936 . _:b666092811 "requested by Melanie Courtot" . _:b665176937 . _:b665176942 . _:b665176943 . _:b678849968 . _:b665176940 . _:b665176941 . _:b665459100 . _:b665176946 . _:b665176947 . _:b665793836 . _:b665176944 . _:b678849909 . _:b665793837 . _:b665176945 . _:b665793838 . _:b665176950 . _:b665795421 _:b665795426 . _:b678849911 . _:b665176951 . _:b678849910 . _:b663277606 . _:b665176948 . _:b665971342 . _:b665795529 "per discussion with Barry Smith" . _:b678849913 . _:b665795394 _:b665795391 . _:b663277607 . _:b665176949 . _:b678849912 . _:b665176954 . _:b678849915 . _:b665459093 . _:b665176955 . _:b678849914 . _:b666093086 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665795393 _:b665795392 . _:b662809722 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665971257 . _:b665176952 . _:b665795394 _:b665795393 . _:b665857340 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665176953 . _:b665971291 . _:b665795542 "per discussion with Barry Smith" . _:b665459080 . _:b665176958 . _:b665459081 . _:b665176959 . _:b665795233 . _:b665795271 . _:b665176956 . _:b665793839 . _:b665795270 . _:b665795326 . _:b665795270 . _:b665176957 . _:b665793838 . _:b665793837 . _:b665176834 . _:b665795234 . _:b665793836 . _:b678849916 . _:b665176835 . _:b665971315 . _:b665795217 . _:b665793835 . _:b665176832 . _:b665795266 . _:b665459087 . _:b665795216 . _:b665795160 . _:b665793834 . _:b665176833 . _:b665459589 . _:b665795219 . _:b665459588 . _:b665176838 . _:b665459591 . _:b665795218 . _:b665176839 . _:b665459074 . _:b665459590 . _:b665176836 . _:b665795454 _:b665795456 . _:b665176837 . _:b665795795 . _:b665176842 . _:b665459587 . _:b665176843 . _:b665459584 . _:b665459586 . _:b665176840 . _:b665795308 . _:b665795789 . _:b665459079 . _:b665793842 . _:b665176841 . _:b665795309 . _:b665176590 . _:b665795788 . _:b665459181 . _:b665176846 . _:b665793841 . _:b665793840 . _:b665176847 . _:b665795304 . _:b665176844 . _:b665176845 . _:b665176850 . _:b665459183 . _:b665176851 . _:b665795303 . _:b665971298 . _:b665176848 . _:b662809594 . _:b665176849 . _:b662809595 . _:b665795264 . _:b665176854 . _:b665795300 . _:b665795265 . _:b665176855 . _:b665458925 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665795301 . _:b665970993 . _:b665176852 . _:b665795236 . _:b665176853 . _:b665856925 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795237 . _:b666092765 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665176858 . _:b665856926 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665795238 . _:b665176859 . _:b665795239 . _:b665795245 . _:b665176856 . _:b665857424 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665176857 . _:b663277692 . _:b665176862 . _:b665176599 . _:b663277693 . _:b665176863 . _:b665795235 . _:b663277694 . _:b665176860 . _:b665459179 . _:b663277695 . _:b665176861 . _:b663277688 . _:b665176866 . _:b678849947 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b663277689 . _:b665176867 . _:b663277690 . _:b665176864 . _:b663277691 . _:b665176865 . _:b663277684 . _:b665176870 . _:b663277685 . _:b665176871 . _:b665795283 . _:b665795266 . _:b663277686 . _:b665176868 . _:b665793888 . _:b665795267 . _:b663277687 . _:b665176869 . _:b665795231 . _:b663277680 . _:b665176874 . _:b663277681 . _:b665176875 . _:b665795261 . _:b665459022 . _:b663277682 . _:b665176872 . _:b663277683 . _:b665176873 . _:b665795268 . _:b663277676 . _:b665176878 . _:b665793894 . _:b668716770 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665459161 . _:b665795269 . _:b663277677 . _:b665176879 . _:b665459162 . _:b663277678 . _:b665176876 . _:b665459163 . _:b665795291 . _:b663277679 . _:b665176877 . _:b665795293 . _:b665459164 . _:b663277672 . _:b665176882 . _:b665459165 . _:b663277673 . _:b665176883 . _:b665459166 . _:b663277674 . _:b665176880 . _:b663277675 . _:b665176881 . _:b665459152 . _:b663277668 . _:b665176886 . _:b663277669 . _:b665176887 . _:b665795249 . _:b665459154 . _:b663277670 . _:b665176884 . _:b665795237 . _:b665459155 . _:b665795703 . _:b663276516 . _:b663277671 . _:b665176885 . _:b665971157 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665177058 . _:b665459156 . _:b663277664 . _:b665176890 . _:b665459157 . _:b663277665 . _:b665176891 . _:b665459158 . _:b663277666 . _:b665176888 . _:b665795210 . _:b665459159 . _:b663277667 . _:b665176889 . _:b665793877 . _:b665459144 . _:b663277660 . _:b665176894 . _:b665793878 . _:b665459145 . _:b663277661 . _:b665176895 . _:b665793879 . _:b665459146 . _:b663277662 . _:b665176892 . _:b665793880 . _:b665459147 . _:b663277663 . _:b665176893 . _:b665459148 . _:b663277656 . _:b665177026 . _:b665459149 . _:b663277657 . _:b665177027 . _:b665459150 . _:b663277658 . _:b665177024 . _:b665793884 . _:b665459151 . _:b663277659 . _:b665177025 . _:b663277652 . _:b665177030 . _:b666092809 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665795232 . _:b665121956 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665177031 . _:b663277654 . _:b665177028 . _:b665176830 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b663277655 . _:b665177029 . _:b666092807 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b663277648 . _:b665177034 . _:b663277649 . _:b665177035 . _:b674016594 . _:b665793859 . _:b665795190 . _:b674016595 . _:b674016592 . _:b674016593 . _:b663277650 . _:b665177032 . _:b674016598 . _:b665795189 . _:b674016599 . _:b665795226 . _:b674016596 . _:b665459143 . _:b674016597 . _:b663277651 . _:b665177033 . _:b674016602 . _:b665795188 . _:b674016603 . _:b674016600 . _:b678849926 . _:b674016601 . _:b663277644 . _:b665177038 . _:b674016606 . _:b665795187 . _:b674016607 . _:b665122006 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b678849925 . _:b674016604 . _:b674016605 . _:b663277645 . _:b665177039 . _:b674016578 . _:b665795186 . _:b674016579 . _:b674016576 . _:b678849924 . _:b665971065 . _:b674016577 . _:b663277646 . _:b665177036 . _:b674016582 . _:b665793864 . _:b674016583 . _:b665122388 . _:b678849923 . _:b674016580 . _:b674016581 . _:b663277647 . _:b665177037 . _:b674016586 . _:b665793865 . _:b674016587 . _:b674016584 . _:b678849922 . _:b674016585 . _:b674016590 . _:b665177042 . _:b674016591 . _:b674016588 . _:b674016589 . _:b663277641 . _:b665177043 . _:b674016626 . _:b674016627 . _:b674016624 . _:b665795246 . _:b674016625 . _:b663277642 . _:b665177040 . _:b674016630 . _:b674016631 . _:b674016628 . _:b674016629 . _:b674016634 . _:b665177041 . _:b674016635 . _:b674016632 . _:b674016633 . _:b674016638 . _:b665177046 . _:b674016639 . _:b674016636 . _:b665795245 . _:b674016637 . _:b674016610 . _:b668716414 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b665177047 . _:b674016611 . _:b674016608 . _:b674016609 . _:b674016614 . _:b665177044 . _:b674016615 . _:b674016612 . _:b674016613 . _:b674016618 . _:b665177045 . _:b674016619 . _:b674016616 . _:b674016617 . _:b674016622 . _:b665177050 . _:b665795180 . _:b674016623 . _:b674016620 . _:b674016621 . _:b674016530 . _:b665177051 . _:b674016531 . _:b674016528 . _:b674016529 . _:b674016534 . _:b665177048 . _:b674016535 . _:b674016532 . _:b666092800 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674016533 . _:b674016538 . _:b665177049 . _:b665176313 . _:b674016539 . _:b674016536 . _:b674016537 . _:b663277756 . _:b665177054 . _:b674016542 . _:b674016543 . _:b674016540 . _:b674016541 . _:b663277757 . _:b665177055 . _:b674016514 . _:b665122480 . _:b674016515 . _:b674016512 . _:b674016513 . _:b663277758 . _:b665177052 . _:b674016518 . _:b665793947 . _:b674016519 . _:b674016516 . _:b674016517 . _:b663277759 . _:b665177053 . _:b674016522 . _:b665793946 . _:b665176309 . _:b674016523 . _:b674016520 . _:b668716324 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b674016521 . _:b663277752 . _:b665177058 . _:b674016526 . _:b665793945 . _:b665122483 . _:b674016527 . _:b674016524 . _:b674016525 . _:b663277753 . _:b665177059 . _:b674016562 . _:b674016563 . _:b674016560 . _:b674016561 . _:b663277754 . _:b665177056 . _:b674016566 . _:b674016567 . _:b665795749 . _:b674016564 . _:b674016565 . _:b663277755 . _:b665177057 . _:b674016570 . _:b674016571 . _:b662809726 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b674016568 . _:b674016569 . _:b663277748 . _:b665177062 . _:b674016574 . _:b665122487 . _:b674016575 . _:b674016572 . _:b674016573 . _:b663277749 . _:b665177063 . _:b674016546 . _:b674016547 . _:b674016544 . _:b665971073 . _:b674016545 . _:b663277750 . _:b665177060 . _:b674016550 . _:b674016551 . _:b665971079 . _:b674016548 . _:b665795745 . _:b665793539 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b674016549 . _:b663277751 . _:b665177061 . _:b674016554 . _:b665122490 . _:b674016555 . _:b674016552 . _:b674016553 . _:b663277744 . _:b665177066 . _:b674016558 . _:b674016559 . _:b674016556 . _:b674016557 . _:b663277745 . _:b665177067 . _:b674016722 . _:b674016723 . _:b665795173 . _:b674016720 . _:b674016721 . _:b663277746 . _:b665177064 . _:b674016726 . _:b674016727 . _:b668716524 . _:b662810087 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b674016724 . _:b665795757 . _:b665793824 . _:b674016725 . _:b663277747 . _:b665177065 . _:b674016730 . _:b674016731 . _:b665795175 . _:b674016728 . _:b674016729 . _:b663277740 . _:b665177070 . _:b674016734 . _:b665459081 . _:b674016735 . _:b665795174 . _:b674016732 . _:b674016733 . _:b678849976 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b662809677 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665177071 . _:b674016706 . _:b663277741 . _:b674016707 . _:b665795177 . _:b674016704 . _:b674016705 . _:b663277742 . _:b665177068 . _:b674016710 . _:b674016711 . _:b665795176 . _:b674016708 . _:b674016709 . _:b663277743 . _:b665177069 . _:b674016714 . _:b674016715 . _:b665795179 . _:b674016712 . _:b674016713 . _:b663277736 . _:b665177074 . _:b674016718 . _:b674016719 . _:b665795178 . _:b674016716 . _:b674016717 . _:b663277737 . _:b665177075 . _:b674016754 . _:b674016755 . _:b674016752 . _:b666093150 . _:b674016753 . _:b663277738 . _:b665177072 . _:b674016758 . _:b663277955 . _:b665795726 . _:b674016759 . _:b674016756 . _:b674016757 . _:b663277739 . _:b665177073 . _:b674016762 . _:b674016763 . _:b674016760 . _:b674016761 . _:b665459220 . _:b665177078 . _:b674016766 . _:b663277732 . _:b674016767 . _:b674016764 . _:b674016765 . _:b663277733 . _:b665177079 . _:b674016738 . _:b674016739 . _:b674016736 . _:b674016737 . _:b663277734 . _:b665177076 . _:b674016742 . _:b674016743 . _:b665459221 . _:b674016740 . _:b674016741 . _:b663277735 . _:b665177077 . _:b674016746 . _:b674016747 . _:b674016744 . _:b665971091 . _:b668378720 "requested by Melanie Courtot" . _:b674016745 . _:b665459216 . _:b665177082 . _:b674016750 . _:b663277728 . _:b674016751 . _:b674016748 . _:b674016749 . _:b663277729 . _:b665177083 . _:b674016658 . _:b665459219 . _:b665795455 . _:b674016659 . _:b674016656 . _:b674016657 . _:b665459218 . _:b665177080 . _:b674016662 . _:b665795718 . _:b663277730 . _:b674016663 . _:b665795452 . _:b665459217 . _:b674016660 . _:b674016661 . _:b665795454 . _:b665459213 . _:b665177081 . _:b674016666 . _:b663277731 . _:b674016667 . _:b665459214 . _:b674016664 . _:b674016665 . _:b665795449 . _:b663277724 . _:b665177086 . _:b674016670 . _:b665459212 . _:b674016671 . _:b674016668 . _:b674016669 . _:b663277725 . _:b665177087 . _:b674016642 . _:b674016643 . _:b674016640 . _:b674016641 . _:b665795451 . _:b663277726 . _:b665177084 . _:b674016646 . _:b674016647 . _:b665795448 . _:b674016644 . _:b674016645 . _:b665459209 . _:b665177085 . _:b665795450 . _:b674016650 . _:b663277727 . _:b674016651 . _:b665459210 . _:b674016648 . _:b674016649 . _:b663277720 . _:b665176962 . _:b674016654 . _:b674016655 . _:b674016652 . _:b674016653 . _:b665459211 . _:b665176963 . _:b674016690 . _:b663277721 . _:b674016691 . _:b674016688 . _:b665793932 . _:b665795447 . _:b674016689 . _:b663277722 . _:b665176960 . _:b674016694 . _:b674016695 . _:b674016692 . _:b665793933 . _:b674016693 . _:b663277723 . _:b665176961 . _:b674016698 . _:b665971324 . _:b674016699 . _:b665459205 . _:b674016696 . _:b665793934 . _:b674016697 . _:b665459204 . _:b665176966 . _:b674016702 . _:b663277716 . _:b674016703 . _:b675160624 . _:b665459207 . _:b674016700 . _:b674016701 . _:b663277717 . _:b668378994 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665176967 . _:b674016674 . _:b674016675 . _:b663277899 . _:b674016672 . _:b674016673 . _:b665459206 . _:b665176964 . _:b674016678 . _:b663277718 . _:b674016679 . _:b674016676 . _:b665793823 . _:b674016677 . _:b663277719 . _:b665176965 . _:b674016682 . _:b665793921 . _:b674016683 . _:b665122007 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b674016680 . _:b674016681 . _:b663277712 . _:b665176970 . _:b674016686 . _:b674016687 . _:b665459203 . _:b674016684 . _:b674016685 . _:b663277713 . _:b665176971 . _:b674016338 . _:b674016339 . _:b665459200 . _:b674016336 . _:b674016337 . _:b665459202 . _:b665176968 . _:b674016342 . _:b663277714 . _:b674016343 . _:b674016340 . _:b674016341 . _:b663277715 . _:b665176969 . _:b674016346 . _:b674016347 . _:b674016344 . _:b674016345 . _:b663277708 . _:b665176974 . _:b674016350 . _:b674016351 . _:b674016348 . _:b674016349 . _:b663277709 . _:b665176975 . _:b674016322 . _:b665793927 . _:b674016323 . _:b674016320 . _:b674016321 . _:b663277710 . _:b665176972 . _:b674016326 . _:b665793928 . _:b674016327 . _:b674016324 . _:b674016325 . _:b665793468 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665176973 . _:b674016330 . _:b663277711 . _:b674016331 . _:b674016328 . _:b674016329 . _:b663277704 . _:b665176978 . _:b674016334 . _:b674016335 . _:b674016332 . "James Malone"@en . _:b674016333 . _:b663277705 . _:b665176979 . _:b674016370 . _:b674016371 . _:b674016368 . _:b665793802 . _:b674016369 . _:b662810195 "1"^^ . _:b663277706 . _:b665176976 . _:b674016374 . _:b674016375 . _:b674016372 . _:b662810194 "1"^^ . _:b674016373 . _:b663277707 . _:b665176977 . _:b674016378 . _:b674016379 . _:b674016376 . _:b662810193 "1"^^ . _:b674016377 . _:b663277700 . _:b665176982 . _:b674016382 . _:b674016383 . _:b668378791 . _:b674016380 . _:b674016381 . _:b663277701 . _:b675160602 . _:b665176983 . _:b674016354 . _:b674016355 . _:b674016352 . _:b674016353 . _:b663277702 . _:b674016849 . _:b665176980 . _:b674016358 . _:b674016359 . _:b674016356 . _:b674016357 . _:b663277703 . _:b665176981 . _:b674016362 . _:b674016363 . _:b674016360 . _:b674016361 . _:b663277696 . _:b665176986 . _:b674016366 . _:b665177067 . _:b674016367 . _:b674016364 . _:b674016365 . _:b663277697 . _:b675160397 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665176987 . _:b674016274 . _:b674016275 . _:b674016272 . _:b662810187 "1"^^ . _:b674016273 . _:b665458908 . _:b665176984 . _:b674016278 . _:b663277698 . _:b674016279 . _:b674016276 . _:b662810186 "1"^^ . _:b674016277 . _:b665857403 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665176985 . _:b674016282 . _:b663277699 . _:b674016283 . _:b674016280 . _:b674016281 . _:b674016286 . _:b665176990 . _:b674016287 . _:b674016284 . _:b674016285 . _:b674016258 . _:b665176991 . _:b674016259 . _:b674016256 . _:b674016257 . _:b674016262 . _:b675160593 . _:b665176988 . _:b674016263 . _:b674016260 . _:b674016261 . _:b674016266 . _:b665176989 . _:b674016267 . _:b674016264 . _:b674016265 . _:b674016270 . _:b675160599 . _:b665176994 . _:b674016271 . _:b674016268 . _:b674016269 . _:b674016306 . _:b665176995 . _:b674016307 . _:b674016304 . _:b674016305 . _:b674016310 . _:b665176992 . _:b674016311 . _:b674016308 . _:b674016309 . _:b674016314 . _:b675160596 . _:b665176993 . _:b674016315 . _:b674016312 . _:b674016313 . _:b674016318 . _:b665176998 . _:b674016319 . _:b674016316 . _:b674016317 . _:b674016290 . _:b665176999 . _:b674016291 . _:b674016288 . _:b674016289 . _:b674016294 . _:b665176996 . _:b674016295 . _:b674016292 . _:b674016293 . _:b674016298 . _:b665176997 . _:b674016299 . _:b674016296 . _:b674016297 . _:b665177034 . _:b665177002 . _:b674016302 . _:b674016303 . _:b674016300 . _:b662810180 "1"^^ . _:b674016301 . _:b674016466 . _:b665177003 . _:b674016467 . _:b674016464 . _:b674016465 . _:b674016470 . _:b665177000 . _:b662809798 . _:b674016471 . _:b674016468 . _:b674016469 . _:b674016474 . _:b665177001 . _:b674016475 . _:b665971103 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b674016472 . _:b674016473 . _:b674016478 . _:b665177006 . _:b674016479 . _:b674016476 . _:b674016477 . _:b674016450 . _:b665177007 . _:b674016451 . _:b674016448 . _:b674016449 . _:b674016454 . _:b665177004 . _:b674016455 . _:b674016452 . _:b662810174 "1"^^ . _:b674016453 . _:b674016458 . _:b665177005 . _:b674016459 . _:b665794042 . _:b674016456 . _:b674016457 . _:b674016462 . _:b665177010 . _:b674016463 . _:b674016460 . _:b674016461 . _:b674016498 . _:b665177011 . _:b674016499 . _:b674016496 . _:b674016497 . _:b674016502 . _:b665177008 . _:b674016503 . _:b674016500 . _:b674016501 . _:b674016506 . _:b665177009 . _:b674016507 . _:b663276349 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b674016504 . _:b674016505 . _:b674016510 . _:b663276324 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665177014 . _:b674016511 . _:b674016508 . _:b674016509 . _:b674016482 . _:b665177015 . _:b674016483 . _:b674016480 . _:b674016481 . _:b674016486 . _:b665177012 . _:b674016487 . _:b674016484 . _:b674016485 . _:b674016490 . _:b668716886 . _:b665177013 . _:b674016491 . _:b674016488 . _:b674016489 . _:b674016494 . _:b665177018 . _:b674016495 . _:b674016492 . _:b675160788 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b674016493 . _:b674016402 . _:b665177019 . _:b674016403 . _:b674016400 . _:b674016401 . _:b674016406 . _:b665177016 . _:b674016407 . _:b674016404 . _:b665122264 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b674016405 . _:b674016410 . _:b665177017 . _:b674016411 . _:b674016408 . _:b674016409 . _:b674016414 . _:b668716893 . _:b665177022 . _:b674016415 . _:b674016412 . _:b674016413 . _:b674016386 . _:b665177023 . _:b674016387 . _:b674016384 . _:b674016385 . _:b674016390 . _:b665177020 . _:b674016391 . _:b674016388 . _:b674016389 . _:b674016394 . _:b665177021 . _:b674016395 . _:b674016392 . _:b674016393 . _:b674016398 . _:b674016399 . _:b674016396 . _:b674016397 . _:b674016434 . _:b674016435 . _:b665795226 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b674016432 . _:b674016433 . _:b674016438 . _:b674016439 . _:b674016436 . _:b674016437 . _:b674016442 . _:b674016443 . _:b674016440 . _:b674016441 . _:b674016446 . _:b668716783 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b674016447 . _:b674016444 . _:b674016445 . _:b674016418 . _:b674016419 . _:b674016416 . _:b674016417 . _:b674016422 . _:b674016423 . _:b674016420 . _:b674016421 . _:b674016426 . _:b674016427 . _:b674016424 . _:b674016425 . _:b674016430 . _:b665970788 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b674016431 . _:b674016428 . _:b674016429 . _:b666093092 "per discussion with Barry Smith" . _:b665458856 . _:b665176990 . _:b666093097 "per discussion with Barry Smith" . _:b665970798 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665970799 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b663277760 . "Information Artifact Ontology (IAO)" . _:b665458855 . _:b665458868 . _:b662810126 "1"^^ . _:b662810125 "1"^^ . _:b665793467 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665971314 . _:b668716898 . _:b665795472 . _:b665971318 . _:b675160984 . _:b665795473 . _:b666092759 . _:b665795468 . _:b674348890 . _:b665971321 . _:b665458872 . _:b665795471 . _:b665795470 . _:b665795469 . _:b665795465 . _:b665176569 . _:b665795466 . _:b665795464 . _:b665176457 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b666092762 . _:b665970700 . _:b665176575 . _:b666092761 . _:b666092760 . _:b665795461 . _:b678849604 . _:b665795462 . _:b666092766 . _:b665176572 . _:b666092767 . _:b665795463 . _:b665857145 . _:b665176460 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665795457 . _:b662810095 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665795456 . _:b665795459 . _:b663277855 . _:b665795458 . . _:b665970710 . _:b666093066 "per discussion with Barry Smith" . _:b678849638 . _:b665794075 . _:b678849637 . _:b674348873 . _:b678849637 . _:b665970734 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b678849585 . _:b665176527 . _:b674016329 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b678849584 . _:b674348528 . _:b666093079 "per discussion with Barry Smith" . _:b668716366 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b675160465 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b678849586 . _:b674348876 . _:b678849633 . _:b674348867 . _:b665971311 . _:b665971268 . _:b678849583 . _:b674348870 . _:b663277868 . _:b666092784 . _:b668379089 "requested by Melanie Courtot" . _:b666092785 . _:b678849547 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665856976 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b663277857 . _:b674016850 . _:b674016851 . _:b674348898 . _:b674016848 . _:b674016849 . _:b674016854 . _:b674016855 . _:b674016852 . _:b674016853 . _:b674016858 . _:b674016859 . _:b674016856 . _:b666093169 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674016857 . _:b674016862 . _:b666092794 . _:b674016863 . _:b663277861 . _:b674016860 . _:b678849612 . _:b674016861 . _:b678849632 . _:b674016834 . _:b666092795 . _:b674016835 . _:b674016832 . _:b678849613 . _:b674016833 . _:b663276304 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b668716815 . _:b674016838 . _:b666092792 . _:b674016839 . _:b674016836 . _:b674016837 . _:b674016842 . _:b678849604 . _:b666092793 . _:b674016843 . _:b663277862 . _:b674016840 . _:b674016841 . _:b678849631 . _:b674016846 . _:b678849605 . _:b674016847 . _:b674016844 . _:b674016845 . _:b674016882 . _:b678849612 . _:b678849606 . _:b674016883 . _:b668379034 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b674016880 . _:b674016881 . _:b674016886 . _:b666092796 . _:b674016887 . _:b674016884 . _:b674016885 . _:b674016890 . _:b666092797 . _:b674016891 . _:b665122296 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b674016888 . _:b665122459 . _:b674016889 . _:b674016894 . _:b674016895 . _:b674016892 . _:b674016893 . _:b674016866 . _:b678849602 . _:b674016867 . _:b674016864 . _:b674016865 . _:b674016870 . _:b678849603 . _:b674016871 . _:b674016868 . _:b674016869 . _:b674016874 . _:b674016875 . _:b674016872 . _:b674016873 . _:b674016878 . _:b674016879 . _:b666092772 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674016876 . _:b674016877 . _:b674016786 . _:b674016787 . _:b666092773 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674016784 . _:b665121895 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b674016785 . _:b663276300 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674016790 . _:b674016791 . _:b674016788 . _:b674016789 . _:b674016794 . _:b674016795 . _:b665458920 . _:b674016792 . _:b674016793 . _:b674016798 . _:b674016799 . _:b674016796 . _:b674016797 . _:b674016770 . _:b663277690 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b674016771 . _:b674016768 . _:b666092779 . _:b674016769 . _:b674016774 . _:b674016775 . _:b674016772 . _:b674016773 . _:b674016778 . _:b674016779 . _:b674016776 . _:b674016777 . _:b674016782 . _:b674016783 . _:b674016780 . _:b674016781 . _:b678849975 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674016818 . _:b678849628 . _:b674016819 . _:b674016816 . _:b674016817 . _:b674016822 . _:b674016823 . _:b674016820 . _:b666092780 . _:b674016821 . _:b674016826 . _:b674016827 . _:b674016824 . _:b674016825 . _:b674016830 . _:b674016831 . _:b674016828 . _:b674016829 . _:b674016802 . _:b663277900 . _:b674016803 . _:b674016800 . _:b674016801 . _:b674016806 . _:b674016807 . _:b674016804 . _:b674348343 . _:b674016805 . _:b674016810 . _:b665857036 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674016811 . _:b674016808 . _:b674348342 . _:b674016809 . _:b663276308 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b674016814 . _:b674016815 . _:b674016812 . _:b674016813 . _:b665857035 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b674348345 . _:b678849616 . _:b668379174 . _:b674348344 . _:b674348350 . _:b665458910 . _:b674348349 . _:b668379181 . _:b666093133 "per discussion with Barry Smith" . _:b678849577 . _:b678849601 . _:b678849600 . _:b674016914 . _:b674016915 . _:b674016912 . _:b674016913 . _:b674016918 . _:b674016919 . _:b674016916 . _:b663277718 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b674016917 . _:b674016922 . _:b674016923 . _:b674016920 . _:b674016921 . _:b674016926 . _:b674016927 . _:b665122466 . _:b674016924 . _:b674016925 . _:b665970894 . _:b674016898 . _:b674016899 . _:b674016896 . _:b665458890 . _:b674016897 . _:b674016902 . _:b674016903 . _:b663276370 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b674016900 . _:b665458891 . _:b674016901 . _:b674016906 . _:b674016907 . _:b665122471 . _:b674016904 . _:b674016905 . _:b666092742 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b674016910 . _:b674016911 . _:b674016908 . _:b674016909 . _:b668379025 . _:b674016946 . _:b674016947 . _:b674016944 . _:b674016945 . _:b668379026 . _:b674016950 . _:b665459347 . _:b674016951 . _:b674016948 . _:b674016949 . _:b674016952 . _:b674348368 . _:b674016930 . _:b674016931 . _:b674016928 . _:b674016929 . _:b674016934 . _:b678849593 . _:b674016935 . _:b674016932 . _:b674016933 . _:b674016938 . _:b665459348 . _:b674016939 . _:b674016936 . _:b674348375 . _:b674016937 . _:b674016942 . _:b674016943 . _:b674016940 . _:b674016941 . _:b674348378 . _:b674348379 . _:b674348376 . _:b674348377 . _:b663276335 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665970938 . _:b674348380 . _:b678849606 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674348664 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b678849547 . _:b668716416 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b674348362 . _:b674348363 . _:b665459343 . _:b662809596 _:b662809602 . _:b665459342 . _:b678849634 . _:b665459341 . _:b678849598 . _:b674348367 . _:b678849635 . _:b665459340 . _:b678849599 . _:b665459378 . _:b678849633 . _:b678849541 . _:b665459376 . _:b678849540 . _:b665459377 . _:b678849543 . _:b678849636 . _:b665971168 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b678849542 . _:b665857367 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b678849545 . _:b662809598 _:b662809600 . _:b678849544 . _:b665971167 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665176298 . _:b674016397 . _:b666092717 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665176299 . _:b678849546 . _:b665176297 . _:b665176302 . _:b665176303 . _:b665176300 . _:b665176301 . _:b665176306 . _:b678849621 . _:b678849645 . _:b665176307 . _:b678849644 . _:b665176304 . _:b678849619 . _:b665176305 . _:b665459360 . _:b678849618 . _:b665176310 . _:b665459361 . _:b665459366 . _:b665176311 . _:b662809846 . _:b665176308 . _:b665795746 . _:b665176309 . _:b665795747 . _:b678849630 . _:b665459365 . _:b665176314 . _:b675160420 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665795744 . _:b665176315 . _:b665176312 . _:b678849627 . _:b665176313 . _:b663276433 . _:b678849626 . _:b665176318 . _:b678849625 . _:b665459374 . _:b665176319 . _:b665795757 . _:b665459375 . _:b665176316 . _:b665176317 . _:b678849606 . _:b665459373 . _:b662809795 . _:b663277708 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b663277701 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b662809796 . _:b678849601 . _:b678849615 . _:b678849613 . _:b665971362 . _:b663277735 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b678849610 . _:b678849608 . _:b668379094 . _:b662809793 . _:b665459113 . _:b665971406 . _:b675160675 _:b675160676 . _:b675160675 _:b675160680 . _:b675160786 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b662809919 . _:b678849638 . _:b665459152 . _:b665795634 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665793624 . _:b675160615 . _:b678849636 . _:b665176600 . _:b678849635 . _:b665176796 . _:b678849632 . _:b665121962 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b675160682 _:b675160683 . _:b675160682 _:b675160687 . _:b678849645 . _:b665794132 _:b665794133 . _:b678849643 . _:b668379091 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b663277693 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665794134 _:b665794135 . _:b665794132 _:b665794134 . _:b678849640 . _:b665794129 _:b665794130 . _:b665176806 . _:b665794143 _:b665794144 . _:b678849557 . _:b678849556 . _:b678849578 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665176516 . _:b665794141 _:b665794142 . _:b678849552 . _:b668716802 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665794139 _:b665794140 . _:b678849567 . _:b665857404 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b678849566 . _:b665857405 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665794139 _:b665794141 . _:b665794136 _:b665794137 . _:b678849919 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b678849564 . _:b665794114 _:b665794113 . _:b665794115 _:b665794114 . _:b678849563 . _:b678849562 . _:b662809788 . _:b668378665 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665794116 _:b665794115 . _:b665794118 _:b665794120 . _:b665176386 . _:b665794118 _:b665794119 . _:b665176387 . _:b665176384 . _:b665970928 . _:b665176385 . _:b665176578 . _:b665794122 _:b665794123 . _:b665794127 _:b665794128 . _:b678849538 . _:b665176390 . _:b678849537 . _:b665794120 _:b665794121 . _:b665176391 . _:b665970933 . _:b678849536 . _:b665794125 _:b665794127 . _:b665176388 . _:b678849551 . _:b665176389 . _:b668716331 . _:b678849550 . _:b665176394 . _:b665794112 _:b665794116 . _:b665794125 _:b665794126 . _:b665176395 . _:b668378983 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665176392 . _:b675160723 . _:b666092756 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b665176393 . _:b678849546 . _:b665176398 . _:b665971133 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b678849545 . _:b665176399 . _:b665970864 . _:b675160668 _:b675160669 . _:b665176396 . _:b678849591 . _:b665794095 _:b665794094 . _:b665176397 . _:b665176402 . _:b665176403 . _:b678849588 . _:b665176400 . _:b665176401 . _:b675160668 _:b675160673 . _:b678849586 . _:b665176406 . _:b678849585 . _:b675160661 _:b675160666 . _:b665176407 . _:b665176404 . _:b678849599 . _:b675160661 _:b675160662 . _:b665176405 . _:b665176410 . _:b665795559 . _:b678849597 . _:b665794092 _:b665794097 . _:b665176411 . _:b665795558 . _:b665970921 . _:b662809718 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b665794108 _:b665794107 . _:b665794098 _:b665794101 . _:b665176408 . _:b665794109 _:b665794108 . _:b665795557 . _:b678849595 . _:b665176409 . _:b665795556 . _:b665794111 _:b665794110 . _:b665793908 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665176414 . _:b665795555 . _:b678849579 . _:b665176415 . _:b665795789 . _:b665794110 _:b665794109 . _:b678849592 . _:b665176412 . _:b678849581 . _:b665176413 . _:b665794105 _:b665794104 . _:b666093122 . _:b678849580 . _:b665176418 . _:b675160380 . _:b666093123 . _:b665794103 _:b665794111 . _:b665794106 _:b665794105 . _:b663277731 . _:b665794107 _:b665794106 . _:b665176419 . _:b675160381 . _:b666093120 . _:b678849582 . _:b665176416 . _:b675160382 . _:b666093121 . _:b663277733 . _:b663277721 . _:b678849571 . _:b663277723 . _:b665794096 _:b665794095 . _:b665176417 . _:b675160383 . _:b666093126 . _:b663277722 . _:b665794100 _:b665794099 . _:b678849570 . _:b665794096 _:b665794093 . _:b665176422 . _:b675160376 . _:b665794101 _:b665794100 . _:b666093127 . _:b663277720 . _:b663277729 . _:b678849569 . _:b665176423 . _:b666093124 . _:b665795797 . _:b663277728 . _:b678849568 . _:b663277724 . _:b665176420 . _:b675160378 . _:b666093125 . _:b665176421 . _:b675160379 . _:b666093130 . _:b663277735 . _:b663277725 . _:b663277730 . _:b663277732 . _:b678849582 . _:b665793455 . _:b665176426 . _:b666093131 . _:b663277734 . _:b663277717 . _:b678849581 . _:b665176427 . _:b665794097 _:b665794096 . _:b666093128 . _:b663277718 . _:b665176424 . _:b666093129 . _:b674016215 . _:b663277712 . _:b663277714 . _:b663277716 . _:b665176425 . _:b675160375 . _:b674016218 . _:b666093134 . _:b665856991 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b674016219 . _:b663277713 . _:b678849578 . _:b674016216 . _:b663277715 . _:b678849565 . _:b674016217 . _:b665176430 . _:b674016222 . _:b666093135 . _:b674016223 . _:b674016220 . _:b674016221 . _:b678849566 . _:b665176431 . _:b675160775 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b666093132 . _:b663277719 . _:b665176428 . _:b665176557 . _:b666093133 . _:b665176429 . _:b666093138 . _:b665794061 _:b665794065 . _:b665176434 . _:b666093139 . _:b663277747 . _:b665176435 . _:b674016242 . _:b666093136 . _:b663277751 . _:b674016243 . _:b674016240 . _:b674348691 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b666092762 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b674016241 . _:b665176432 . _:b674016246 . _:b666093137 . _:b674016247 . _:b674016244 . _:b674016245 . _:b665176433 . _:b674016250 . _:b666093142 . _:b674016251 . _:b674016248 . _:b663277708 . _:b674016249 . _:b665176438 . _:b674016254 . _:b666093143 . _:b674016255 . _:b674016252 . _:b674016253 . _:b665176439 . _:b674016226 . _:b666093140 . _:b674016227 . _:b674016224 . _:b665793454 . _:b674348863 . _:b674016225 . _:b665176550 . _:b663277750 . _:b665176436 . _:b674016230 . _:b666093141 . _:b663277632 . _:b674016231 . _:b674016228 . _:b674016229 . _:b665176437 . _:b674016234 . _:b666093146 . _:b663277749 . _:b674016235 . _:b674016232 . _:b674016233 . _:b665176442 . _:b674016238 . _:b666093147 . _:b663277748 . _:b674016239 . _:b666093122 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b674016236 . _:b674016237 . _:b665176443 . _:b666093144 . _:b665176440 . _:b666093145 . _:b668378722 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665176441 . _:b666093150 . _:b665176446 . _:b666093151 . _:b665794064 _:b665794063 . _:b665176447 . _:b665794065 _:b665794062 . _:b666093148 . _:b663277701 . _:b663277719 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665176444 . _:b666093149 . _:b663277702 . _:b663277759 . _:b665176445 . _:b666093154 . _:b663277758 . _:b665971331 . _:b665176322 . _:b666093155 . _:b663277752 . _:b663277753 . _:b663277703 . _:b665176323 . _:b665794065 _:b665794064 . _:b663277586 . _:b666093152 . _:b665794056 _:b665794057 . _:b665176320 . _:b666093153 . _:b665176321 . _:b666093158 . _:b663277754 . _:b665176326 . _:b675160971 . _:b666093159 . _:b663277700 . _:b663277698 . _:b665793433 . _:b665176327 . _:b666093156 . _:b668716495 . _:b663277699 . _:b665176324 . _:b666093157 . _:b665176325 . _:b675160968 . _:b666093162 . _:b663277696 . _:b663277756 . _:b663277697 . _:b665176330 . _:b675160340 . _:b666093163 . _:b663277757 . _:b663277710 . _:b665176331 . _:b675160341 . _:b666093160 . _:b663277746 . _:b665793776 "2024-09-28T11:27:06.064106"^^ . _:b663277711 . _:b665176328 . _:b666093161 . _:b663277704 . _:b663277709 . _:b663277744 . _:b665176329 . _:b666093166 . _:b663277755 . _:b665176334 . _:b665857034 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b666093167 . _:b663277745 . _:b663277706 . _:b663277707 . _:b665176335 . _:b675160962 . _:b666093164 . _:b665793826 _:b665793820 . _:b665176332 . _:b666093165 . _:b663277705 . _:b665176333 . _:b665793827 _:b665793830 . _:b666092769 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b666093170 . _:b665176338 . _:b678849916 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b666093171 . _:b665176339 . _:b666093168 . _:b663277743 . _:b665793825 _:b665793824 . _:b663277738 . _:b665176336 . _:b675160965 . _:b666093169 . _:b665793583 . _:b665793826 _:b665793825 . _:b663277737 . _:b665176337 . _:b666093174 . _:b665793582 . _:b665177059 . _:b665176342 . _:b666093175 . _:b665970850 . _:b663277742 . _:b665176343 . _:b666093172 . _:b663277736 . _:b675160993 . _:b665176340 . _:b666093173 . _:b663277741 . _:b665793829 _:b665793828 . _:b665176341 . _:b666093178 . _:b663277630 . _:b665793830 _:b665793829 . _:b663277740 . _:b665176346 . _:b666093179 . _:b663277739 . _:b665176347 . _:b666093176 . _:b665176344 . _:b666093177 . _:b663277727 . _:b665176345 . _:b666093182 . _:b663277726 . _:b665176350 . _:b666093183 . _:b665176351 . _:b666093180 . _:b665176348 . _:b675161006 . _:b666093181 . _:b665176349 . _:b666093058 . _:b674016738 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665176354 . _:b675160444 . _:b666093059 . _:b665176355 . _:b675160445 . _:b666093056 . _:b668716536 . _:b665176352 . _:b675160446 . _:b666093057 . _:b665176353 . _:b675160447 . _:b666093062 . _:b665176358 . _:b675160440 . _:b666093063 . _:b665176359 . _:b675160441 . _:b666093060 . _:b665176356 . _:b675160442 . _:b666093061 . _:b665176357 . _:b675160443 . _:b666093066 . _:b665176781 . _:b675160419 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665795151 . _:b665176362 . _:b675160436 . _:b666093067 . _:b665856957 . _:b665176363 . _:b675160437 . _:b666093064 . _:b665176360 . _:b675160438 . _:b666093065 . _:b662809586 _:b662809589 . _:b665793795 _:b665793794 . _:b665176361 . _:b675160439 . _:b666093070 . _:b665176777 . _:b665793814 _:b665793815 . _:b662810288 . _:b665176366 . _:b675160432 . _:b666093071 . . _:b668716485 . _:b665793794 _:b665793793 . _:b665176367 . _:b675160433 . _:b666093068 . _:b665795142 . _:b665176364 . _:b675160434 . _:b666093069 . _:b662809592 _:b662809591 . _:b665176365 . _:b675160435 . _:b666093074 . _:b662809593 _:b662809592 . _:b665793805 _:b665793808 . _:b678850056 . _:b668716486 . _:b665176370 . _:b675160428 . _:b666093075 . _:b665176371 . _:b675160429 . _:b666093072 . _:b662809590 _:b662809593 . _:b665176368 . _:b675160430 . _:b666093073 . _:b665793800 _:b665793802 . _:b663276401 . _:b665793820 _:b665793821 . _:b665176369 . _:b675160431 . _:b666093078 . _:b662809588 _:b662809587 . _:b665793798 _:b665793804 . _:b665176374 . _:b675160424 . _:b666093079 . _:b662809589 _:b662809588 . _:b665793802 _:b665793801 . _:b665176375 . _:b675160425 . _:b666093076 . _:b665793803 _:b665793799 . _:b665793804 _:b665793803 . _:b665176372 . _:b675160426 . _:b666093077 . _:b665176373 . _:b675160427 . _:b665793807 _:b665793806 . _:b666093082 . _:b665176378 . _:b675160420 . _:b666093083 . _:b665176379 . _:b675160421 . _:b666093080 . _:b665793792 _:b665793795 . _:b668716483 . _:b665176376 . _:b675160422 . _:b666093081 . _:b662809597 _:b662809598 . _:b665793808 _:b665793807 . _:b665176377 . _:b675160423 . _:b666093086 . _:b665793812 _:b665793811 . _:b665176382 . _:b675160416 . _:b666093087 . _:b662809578 _:b662809577 . "Albert Goldfain"@en . _:b665795145 . _:b665176383 . _:b675160417 . _:b666093084 . _:b662809576 _:b662809575 . _:b665176380 . _:b675160418 . _:b666093085 . _:b665176381 . _:b675160419 . _:b666093090 . _:b665176514 . _:b675160412 . _:b665793811 _:b665793810 . _:b666093091 . _:b665793799 _:b665793800 . _:b662809581 _:b662809580 . _:b665176515 . _:b675160413 . _:b666093088 . _:b662809582 _:b662809581 . _:b665176512 . _:b675160414 . _:b666093089 . _:b665793821 _:b665793823 . _:b665176513 . _:b675160415 . _:b666093094 . _:b665793823 _:b665793822 . _:b665176518 . _:b675160408 . _:b666093095 . _:b665793809 _:b665793812 . _:b665176519 . _:b675160409 . _:b666093092 . _:b665176516 . _:b675160410 . _:b665793819 _:b665793826 . _:b666093093 . _:b665176517 . _:b675160411 . _:b666093098 . _:b665793817 _:b665793816 . _:b665176522 . _:b675160404 . _:b665793815 _:b665793818 . _:b666093099 . _:b665793818 _:b665793817 . _:b665176523 . _:b675160405 . _:b666093096 . _:b662809579 _:b662809582 . _:b665176520 . _:b675160406 . _:b666093097 . _:b668716713 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665176521 . _:b675160407 . _:b666093102 . _:b665176526 . _:b675160400 . _:b666093103 . _:b665176527 . _:b675160401 . _:b666093100 . _:b665176524 . _:b675160402 . _:b666093101 . _:b663276429 . _:b665176525 . _:b675160403 . _:b666093106 . _:b665176530 . _:b675160396 . _:b666093107 . _:b663277760 . _:b665176531 . _:b675160397 . _:b666093104 . _:b665176528 . _:b675160398 . _:b666093105 . _:b663277623 . _:b663276258 . _:b665176529 . _:b675160399 . _:b666093110 . _:b675160407 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665176534 . _:b675160392 . _:b666093111 . _:b663277892 . _:b665176535 . _:b675160393 . _:b666093108 . _:b674016766 . _:b665176532 . _:b675160394 . _:b666093109 . _:b665176533 . _:b675160395 . _:b666093114 . _:b665176538 . _:b675160388 . _:b666093115 . _:b675161037 _:b675161038 . _:b665176539 . _:b675160389 . _:b665176328 . _:b666093112 . _:b665176536 . _:b675160390 . _:b666093113 . _:b665176537 . _:b675160391 . _:b666093118 . _:b665176542 . _:b675160384 . _:b666093119 . _:b665176543 . _:b675160385 . _:b666093116 . _:b663277626 . _:b665176540 . _:b675160670 . _:b675160386 . _:b666093117 . _:b675161037 _:b675161042 . _:b665176541 . _:b666093250 . _:b663277611 . _:b675160667 . _:b665176546 . _:b666093251 . _:b665176547 . _:b665793467 . _:b666093248 . _:b665176544 . _:b675161030 _:b675161031 . _:b665857514 . _:b665793468 . _:b666093249 . _:b665176545 . _:b675160667 . _:b665793469 . _:b665176338 . _:b666093254 . _:b665176550 . _:b675161030 _:b675161035 . _:b666093255 . _:b675160670 . _:b665176551 . _:b666093252 . _:b675160665 . _:b678850142 . _:b665176548 . _:b666093253 . _:b665793493 . _:b665176549 . _:b675160663 . _:b666093258 . _:b665793494 . _:b668716478 . _:b665176554 . _:b666093259 . _:b665793495 . _:b665176555 . _:b666093256 . _:b666093011 "2024-10-06T20:00:47.157951"^^ . _:b665176552 . _:b666093257 . _:b675161051 _:b675161052 . _:b678849550 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b665121910 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665176553 . _:b666093262 . _:b675160663 . _:b665176558 . _:b666093263 . _:b665176559 . _:b666093260 . _:b675160681 . _:b665176556 . _:b666093261 . _:b665857568 . _:b675160686 . _:b678849949 . _:b665176557 . _:b666093266 . _:b665795603 . _:b678849948 . _:b665176562 . _:b675160684 . _:b675160492 . _:b666093267 . _:b665795602 . _:b678849951 . _:b665176563 . _:b675160493 . _:b666093264 . _:b665793496 . _:b678849950 . _:b665176560 . _:b675160494 . _:b666093265 . _:b665793497 . _:b675160684 . _:b665176561 . _:b666093270 . _:b665793498 . _:b665176566 . _:b675160488 . _:b666093271 . _:b675161051 _:b675161056 . _:b665793499 . _:b665176567 . _:b675160681 . _:b675160489 . _:b665970790 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b666093268 . _:b675161044 _:b675161049 . _:b665176564 . _:b675160490 . _:b666093269 . _:b665795635 . _:b665176565 . _:b675160491 . _:b666093274 . _:b675160679 . _:b675161044 _:b675161045 . _:b665176570 . _:b675160484 . _:b666093275 . _:b674348521 . _:b675160674 . _:b665176571 . _:b675160677 . _:b675160485 . _:b666093272 . _:b665795638 . _:b675160677 . _:b665176568 . _:b675160674 . _:b675160486 . _:b666093273 . _:b665176569 . _:b675160487 . _:b666093278 . _:b665795636 . _:b665176574 . _:b675160480 . _:b666093279 . _:b665121927 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b675160672 . _:b665795637 . _:b665176575 . _:b675160481 . _:b666093276 . _:b665176572 . _:b675160482 . _:b666093277 . _:b665176573 . _:b675160483 . _:b666093282 . _:b674016286 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665176450 . _:b675160476 . _:b666093283 . _:b665176451 . _:b675160477 . _:b666093280 . _:b665795497 . _:b663276431 . _:b665176448 . _:b675160478 . _:b666093281 . _:b665176449 . _:b675160479 . _:b666093286 . _:b665176454 . _:b675160472 . _:b666093287 . _:b665793725 . _:b665795508 . _:b665176455 . _:b675160473 . _:b666093284 . _:b665176452 . _:b675160474 . _:b666093285 . _:b675160688 . _:b665176453 . _:b675160475 . _:b666093290 . _:b665176458 . _:b675160468 . _:b666093291 . _:b665176459 . _:b675160469 . _:b666093288 . _:b665176456 . _:b675160470 . _:b666093289 . _:b666093100 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665176457 . _:b675160471 . _:b666093294 . _:b665176462 . _:b675160688 . _:b675160464 . _:b666093295 . _:b674016369 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665176463 . _:b675160465 . _:b666093292 . _:b665176460 . _:b675160466 . _:b665793471 . _:b666093293 . _:b665795588 . _:b665176461 . _:b675160467 . _:b665793470 . _:b666093298 . _:b665857010 . _:b665176466 . _:b675160460 . _:b665793469 . _:b666093299 . _:b665857011 . _:b665176467 . _:b675160461 . _:b665793468 . _:b666093296 . _:b665795585 . _:b665176464 . _:b675160462 . _:b665793467 . _:b666093297 . _:b665795411 . _:b678849907 . _:b665176465 . _:b675160463 . _:b665793466 . _:b666093302 . _:b678849906 . _:b665795587 . _:b665176470 . _:b675160456 . _:b665793465 . _:b666093303 . _:b678849905 . _:b665795586 . _:b665176471 . _:b675160457 . _:b666093300 . _:b678849904 . _:b665176468 . _:b675160458 . _:b666093301 . _:b665795630 . _:b665970954 . _:b678849919 . _:b665176469 . _:b675160459 . _:b666093306 . _:b665176474 . _:b675160452 . _:b666093307 . _:b665176475 . _:b675160453 . _:b666093304 . _:b665176472 . _:b675160454 . _:b666093305 . _:b678849915 . _:b665176473 . _:b675160455 . _:b665793525 . _:b666093310 . _:b665122124 . _:b678849914 . _:b665176478 . _:b675160448 . _:b665793473 . _:b666093311 . _:b665795130 . _:b665176479 . _:b675160449 . _:b665793472 . _:b665795644 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b666093308 . _:b665176476 . _:b675160450 . _:b665857013 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b666093309 . _:b665176477 . _:b675160451 . _:b666093186 . _:b665971043 . _:b665176482 . _:b666093187 . _:b665176483 . _:b666093184 . _:b663277661 . _:b665795614 . _:b665176480 . _:b665795634 . _:b666093185 . _:b665795618 . _:b665795520 . _:b665795615 . _:b665176481 . _:b666093190 . _:b662809915 _:b662809916 . _:b665176486 . _:b666093191 . _:b663277663 . _:b665176487 . _:b665795633 . _:b666093188 . _:b665176484 . _:b675160870 . _:b666093189 . _:b665176485 . _:b666093194 . _:b665176490 . _:b666093195 . _:b675160771 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b663277652 . _:b674348295 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665176522 . _:b665176491 . _:b665795606 . _:b666093192 . _:b665176488 . _:b665793508 . _:b666093193 . _:b663277655 . _:b663277654 . _:b665176489 . _:b665793509 . _:b666093198 . _:b665793983 _:b665793989 . _:b663277674 . _:b665176494 . _:b665793510 . _:b665857399 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665176566 . _:b666093199 . _:b663277675 . _:b663277673 . _:b663277648 . _:b665793963 _:b665793962 . _:b663277677 . _:b665176495 . _:b665793511 . _:b665795640 . _:b666093196 . _:b663277676 . _:b663277678 . _:b663277649 . _:b662809915 _:b662809920 . _:b665793964 _:b665793963 . _:b665176492 . _:b665793965 _:b665793964 . _:b665795639 . _:b666093197 . _:b665458947 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665176493 . _:b666093202 . _:b663277651 . _:b665795639 . _:b665793979 _:b665793980 . _:b665793967 _:b665793966 . _:b665176591 . _:b663277664 . _:b665176498 . _:b666093203 . _:b665971290 . _:b665793953 _:b665793956 . _:b665176499 . _:b665793515 . _:b666093200 . _:b663277682 . _:b663277645 . _:b665793966 _:b665793965 . _:b663277681 . _:b663277683 . _:b665176496 . _:b666093201 . _:b665176497 . _:b666093206 . _:b663277647 . _:b665793974 _:b665793975 . _:b665795635 . _:b665793961 _:b665793970 . _:b665176502 . _:b665793955 _:b665793954 . _:b666093207 . _:b663277644 . _:b665795600 . _:b665176503 . _:b665793519 . _:b666093204 . _:b665795601 . _:b663277687 . . _:b665176500 . _:b666093205 . _:b663277686 . _:b663277641 . _:b665176501 . _:b666093210 . _:b663277642 . _:b665793956 _:b665793955 . _:b663277685 . _:b665176506 . _:b665793490 . _:b666093211 . _:b663277684 . _:b665176507 . _:b666093208 . _:b663277692 . _:b663277694 . _:b665176504 . _:b666093209 . _:b663277695 . _:b663277690 . _:b665176505 . _:b666093214 . _:b663277688 . _:b665795595 . _:b663277689 . _:b665176510 . _:b666093215 . _:b663277693 . _:b665793981 _:b665793979 . _:b665176511 . _:b665793495 . _:b666093212 . _:b665793982 _:b665793981 . _:b665793973 _:b665793977 . _:b665176508 . _:b665793976 _:b665793974 . _:b665793496 . _:b666093213 . _:b665176509 . _:b665793977 _:b665793976 . _:b666093218 . _:b675160423 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665795628 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b666093219 . _:b663277691 . _:b666093216 . _:b666093217 . _:b665793968 _:b665793967 . _:b666093222 . _:b665459295 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b666093223 . _:b665793978 _:b665793982 . _:b665971159 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b666093220 . _:b666093221 . _:b665795614 . _:b665793970 _:b665793969 . _:b665795604 . _:b666093226 . _:b665795605 . _:b665176928 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b666093227 . _:b665795606 . _:b663277680 . _:b665793969 _:b665793968 . _:b665458971 . _:b666093224 . _:b665795607 . _:b666093225 . _:b665458970 . _:b665794009 _:b665794012 . _:b662809898 _:b662809897 . _:b666093230 . _:b666093231 . _:b665793478 . _:b665795611 . _:b662809899 _:b662809898 . _:b666093228 . _:b665793479 . _:b666093229 . _:b662809890 _:b662809895 . _:b678849902 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b666093234 . _:b665458973 . _:b663277646 . _:b662809903 _:b662809902 . _:b666093235 . _:b665458972 . _:b666093232 . _:b665793483 . _:b665795612 . _:b663277662 . _:b665794012 _:b665794011 . _:b666093233 . _:b665794015 _:b665794018 . _:b665793484 . _:b665795526 . _:b665795608 . _:b663276459 . _:b666093238 . _:b663277650 . _:b663277667 . _:b666093239 . _:b666093236 . _:b662809895 _:b662809894 . _:b668378733 . _:b666093237 . _:b665794011 _:b665794010 . _:b665795522 . _:b665795591 . _:b662809893 _:b662809892 . _:b666093242 . _:b663276212 . _:b665793694 . _:b662809896 _:b662809899 . _:b662809894 _:b662809893 . _:b665122068 . _:b662809901 _:b662809909 . _:b666093243 . _:b663277679 . _:b666093366 _:b666093367 . _:b666093240 . _:b663277672 . _:b662809894 _:b662809891 . _:b663277657 . _:b666093241 . _:b663277660 . _:b665793986 _:b665793985 . _:b662809918 _:b662809919 . _:b665793987 _:b665793986 . _:b666093366 _:b666093371 . _:b662809916 _:b662809918 . _:b666093246 . _:b665795594 . _:b663277659 . _:b662809916 _:b662809917 . _:b666093247 . _:b665795593 . _:b666093244 . _:b665793985 _:b665793984 . _:b663277669 . _:b665795592 . _:b663277668 . _:b666093245 . _:b663277665 . _:b663277656 . _:b665176995 . _:b663277898 . _:b663277666 . _:b665795598 . _:b663277671 . _:b666093378 . _:b662809913 _:b662809912 . _:b668716404 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665793992 _:b665793995 . _:b666093373 _:b666093374 . _:b665795599 . _:b665793988 _:b665793987 . _:b666093379 . _:b665793989 _:b665793988 . _:b662809910 _:b662809914 . _:b663277658 . _:b663277670 . _:b662809914 _:b662809913 . _:b662809912 _:b662809911 . _:b666093376 . _:b665458995 . _:b666093377 . _:b665793994 _:b665793993 . _:b662809904 _:b662809903 . _:b662809908 _:b662809907 . _:b662809909 _:b662809908 . _:b665793995 _:b665793994 . _:b666093380 . _:b674016480 . _:b666093373 _:b666093378 . _:b665794014 _:b665794015 . _:b665857458 . _:b665794008 _:b665794009 . _:b662809906 _:b662809905 . _:b662809907 _:b662809906 . _:b665458996 . _:b662809905 _:b662809904 . _:b665794044 _:b665794043 . _:b665459003 . _:b665793784 . _:b665794035 _:b665794039 . _:b665794044 _:b665794041 . _:b665459006 . _:b662809863 _:b662809862 . _:b665793698 . _:b665459007 . _:b665794043 _:b665794042 . _:b678850007 . _:b665459004 . _:b666093352 _:b666093353 . _:b666093352 _:b666093357 . _:b666093092 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b666093359 _:b666093364 . _:b666093359 _:b666093360 . _:b662809862 _:b662809861 . _:b665459005 . _:b674016655 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b678850005 . _:b662809863 _:b662809860 . _:b665458978 . _:b665794040 _:b665794044 . _:b678850004 . _:b665794039 _:b665794038 . _:b665121969 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665793806 . _:b665970872 . _:b665794038 _:b665794037 . _:b665122325 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665795616 . _:b665458977 . _:b665794039 _:b665794036 . _:b678850001 . _:b665795617 . _:b665459515 . _:b665794034 _:b665794033 . _:b665795554 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b662809859 _:b662809863 . _:b678850014 . _:b668716764 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665794021 _:b665794022 . _:b674016475 . _:b665794033 _:b665794032 . _:b665122279 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b678850012 . _:b665794024 _:b665794023 . _:b665795626 . _:b668716763 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665794025 _:b665794024 . _:b665795375 . _:b665795627 . _:b674016468 . _:b665795624 . _:b678850009 . _:b665794022 _:b665794025 . _:b665795625 . _:b665458990 . _:b665458870 . _:b665458991 . _:b665795511 . _:b662809929 _:b662809930 . _:b662809929 _:b662809934 . _:b678849990 . _:b665177037 . _:b665795628 . _:b665795629 . _:b678849988 . _:b665794017 _:b665794016 . _:b665458866 . _:b665794018 _:b665794017 . _:b674016434 . _:b678849987 . _:b662809826 "1"^^ . _:b662809825 "1"^^ . _:b662809824 "1"^^ . _:b665794031 _:b665794034 . _:b678849984 . _:b665795378 . _:b665857069 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b678849999 . _:b662809922 _:b662809927 . _:b662809922 _:b662809923 . _:b665795377 . _:b678849996 . _:b665795514 . _:b678849995 . _:b662809818 "1"^^ . _:b665459549 . _:b678849994 . _:b665795499 . _:b662809817 "1"^^ . _:b665795388 . _:b665793653 _:b665793656 . _:b665793645 _:b665793646 . _:b674016331 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b662809978 _:b662809977 . _:b662809972 _:b662809975 . _:b662809979 _:b662809978 . _:b665793656 _:b665793655 . _:b662809966 _:b662809967 . _:b662809975 _:b662809974 . _:b665176826 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b662809811 "1"^^ . _:b662809970 _:b662809966 . _:b665459546 . _:b665177043 . _:b665459008 . _:b662809976 _:b662809979 . _:b662809974 _:b662809973 . _:b662809936 _:b662809941 . _:b662809936 _:b662809937 . _:b665793648 _:b665793647 . _:b665793655 _:b665793654 . _:b665177040 . _:b665177068 . _:b662809971 _:b662809970 . _:b665177046 . _:b665793639 _:b665793640 . _:b665793649 _:b665793648 . _:b662809969 _:b662809968 . _:b665795603 . _:b662809981 _:b662809982 . _:b662809967 _:b662809969 . _:b665793642 _:b665793641 . _:b662809961 _:b662809960 . _:b665795601 . _:b665795417 . _:b662809959 _:b662809962 . _:b662809962 _:b662809961 . _:b665793643 _:b665793642 . _:b665795615 . _:b665857525 . _:b666093314 . _:b662809955 _:b662809958 . _:b668379024 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b678850014 . _:b662809805 "1"^^ . _:b666093315 . _:b678850013 . _:b665795612 . _:b666093312 . _:b666093313 . _:b665795610 . _:b666093318 . _:b666093319 . _:b665795608 . _:b665793652 _:b665793653 . _:b666093316 . _:b665458953 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665795647 . _:b666093317 . _:b662809957 _:b662809956 . _:b665793646 _:b665793649 . _:b665795646 . _:b665795590 . _:b666093322 . _:b674016853 . _:b665793640 _:b665793643 . _:b662809958 _:b662809957 . _:b665970963 . _:b665794102 . _:b666093323 . _:b662809965 _:b662809971 . _:b665795588 . _:b666093320 . _:b665795587 . _:b666093321 . _:b665794099 . _:b668378816 . _:b665793616 _:b665793615 . _:b666093326 . _:b662809941 _:b662809942 . _:b665793620 _:b665793619 . _:b666093327 . _:b665971290 . _:b665795584 . _:b666093324 . _:b665795599 . _:b666093325 . _:b662809937 _:b662809938 . _:b665793618 _:b665793617 . _:b662809948 _:b662809951 . _:b665793619 _:b665793618 . _:b666093330 . _:b665857384 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665795597 . _:b665793993 . _:b665793605 _:b665793606 . _:b666093331 . _:b668716700 . _:b662809939 _:b662809940 . _:b662809937 _:b662809939 . _:b665793617 _:b665793616 . _:b666093328 . _:b678849940 . _:b662809950 _:b662809949 . _:b666093329 . _:b678849939 . _:b665795594 . _:b666093334 . _:b678849938 . _:b662809951 _:b662809950 . _:b665795593 . _:b666093335 . _:b665795428 . _:b665793610 _:b665793611 . _:b678849937 . _:b666093332 . _:b665458992 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b678849936 . _:b666093333 . _:b678849951 . _:b665793600 _:b665793599 . _:b674016528 . _:b665795638 . _:b665970970 . _:b665971340 . _:b666093338 . _:b662809945 _:b662809944 . _:b665793625 _:b665793624 . _:b678849950 . _:b665795637 . _:b665793623 _:b665793626 . _:b666093339 . _:b665793626 _:b665793625 . _:b674016355 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b662809947 _:b662809946 . _:b666093336 . _:b666093337 . _:b662809923 _:b662809925 . _:b678849947 . _:b665795634 . _:b662809982 _:b662809985 . _:b666093342 . _:b662809920 _:b662809921 . _:b665793662 _:b665793665 . _:b665970773 . _:b666093343 . _:b662809923 _:b662809924 . _:b665795632 . _:b665793601 _:b665793600 . _:b666093340 . _:b665970774 . _:b662809927 _:b662809928 . _:b665795647 . _:b665793614 _:b665793620 . _:b666093341 . _:b665793609 _:b665793613 . _:b666093346 . _:b662809925 _:b662809926 . _:b678849926 . _:b665795645 . _:b666093347 . _:b668716697 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b678849925 . _:b665793607 _:b665793605 . _:b666093344 . _:b666093345 . _:b665793604 _:b665793608 . _:b665177054 . _:b665795642 . _:b668716433 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b666093350 . _:b662809930 _:b662809931 . _:b668378725 . _:b666093351 . _:b678849921 . _:b665793608 _:b665793607 . _:b665795640 . _:b666093348 . _:b662809930 _:b662809932 . _:b678849920 . _:b665795623 . _:b665793613 _:b665793612 . _:b666093349 . _:b662809934 _:b662809935 . _:b678849935 . _:b665794102 . _:b678849901 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b666093354 . _:b665857508 . _:b665795621 . _:b662809932 _:b662809933 . _:b666093355 . _:b665794106 . _:b678849933 . _:b665794088 . _:b665795620 . _:b665793612 _:b665793610 . _:b666093352 . _:b665794089 . _:b678849932 . _:b666093353 . _:b678849931 . _:b666093358 . _:b666092710 "per discussion with Barry Smith" . _:b665795617 . _:b665794104 . _:b666093359 . _:b666093356 . _:b662809985 _:b662809984 . _:b666093357 . _:b678849975 . _:b666093362 . _:b662809990 _:b662809989 . _:b662809988 _:b662809990 . _:b665795629 . _:b662809756 "1"^^ . _:b662809994 _:b662809997 . _:b666093363 . _:b665793718 . _:b665794080 . _:b662809757 "1"^^ . _:b665795628 . _:b666093360 . _:b665793592 _:b665793601 . _:b665971297 . _:b665794081 . _:b665795627 . _:b666093361 . _:b662809992 _:b662809991 . _:b665794082 . _:b665459300 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b662809993 _:b662809987 . _:b666093366 . _:b662809993 _:b662809992 . _:b678849970 . _:b666093367 . _:b665794084 . _:b666093364 . _:b665794085 . _:b678849968 . _:b666093365 . _:b662809997 _:b662809996 . _:b665794086 . _:b666093370 . _:b665794087 . _:b678849982 . _:b666093371 . _:b665971302 . _:b665794072 . _:b662809986 _:b662809993 . _:b666093368 . _:b662809996 _:b662809995 . _:b665794073 . _:b665793596 _:b665793595 . _:b665121897 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b662809987 _:b662809988 . _:b665793597 _:b665793596 . _:b666093369 . _:b665970730 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b665794074 . _:b678849979 . _:b666093374 . _:b665793599 _:b665793598 . _:b665794075 . _:b666093375 . _:b665459317 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b678849977 . _:b678849934 . _:b666093372 . _:b665793584 _:b665793587 . _:b665793598 _:b665793597 . _:b665970764 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665794077 . _:b678849935 . _:b666093373 . _:b665794078 . _:b665794079 . _:b675160764 . _:b665793594 _:b665793593 . _:b665793595 _:b665793594 . _:b678849957 . _:b666092723 "per discussion with Barry Smith" . _:b666093131 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b675160765 . _:b665793951 . _:b675160766 . _:b665794066 . _:b678849955 . _:b675160767 . _:b665971219 . _:b678849954 . _:b665794067 . _:b675160760 . _:b665794068 . _:b675160761 . _:b666092728 "per discussion with Barry Smith" . _:b665794069 . _:b675160762 . _:b665793587 _:b665793586 . _:b665794070 . _:b662809600 _:b662809599 . _:b675160763 . _:b665794071 . _:b678849966 . _:b665794056 . _:b665793586 _:b665793585 . _:b662809601 _:b662809597 . _:b675160757 . _:b678849964 . _:b675160758 . _:b675160759 . _:b665177051 . _:b675160752 . _:b665795420 . _:b678849961 . _:b675160753 . _:b678849960 . _:b675160754 . _:b662809742 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b674016351 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b675160755 . _:b675160748 . _:b675160749 . _:b675160750 . _:b675160751 . _:b665970941 . _:b675160744 . _:b675160745 . _:b665794054 . _:b675160747 . _:b665794055 . _:b665970832 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665795177 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b668378804 . _:b668378811 . _:b668378847 . . _:b666092697 "per discussion with Barry Smith" . . _:b674348494 . _:b665459384 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b662809984 _:b662809983 . _:b678849978 . _:b665793751 _:b665793752 . _:b678849979 . _:b665176894 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b665793749 _:b665793750 . _:b665793749 _:b665793751 . _:b665176895 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b678849983 . _:b665793746 _:b665793745 . _:b665793747 _:b665793746 . _:b665793745 _:b665793744 . _:b665793758 _:b665793759 . _:b665793756 _:b665793758 . _:b665793756 _:b665793757 . _:b678849959 . _:b678849958 . _:b665793728 _:b665793727 . _:b674016627 . _:b665793753 _:b665793754 . _:b668378655 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665793952 . _:b675160709 . _:b675160710 . _:b678849961 . _:b678849960 . _:b665793731 _:b665793730 . _:b678849966 . _:b678849687 . _:b666092738 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665793743 _:b665793747 . _:b668716401 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665793732 _:b665793731 . _:b675160828 . _:b678849965 . _:b675160829 . _:b675160830 . _:b665793737 _:b665793736 . _:b675160831 . _:b674016809 . _:b675160824 . _:b665793738 _:b665793737 . _:b665793739 _:b665793738 . _:b665794070 . _:b665793736 _:b665793735 . _:b665793734 _:b665793742 . _:b675160825 . _:b665793740 _:b665793739 . _:b665793741 _:b665793740 . _:b675160826 . _:b675160827 . _:b675160820 . _:b665793729 _:b665793732 . _:b675160821 . _:b665793742 _:b665793741 . _:b665793706 . _:b665793790 _:b665793789 . _:b675160822 . _:b665857331 . _:b675160637 . _:b675160823 . _:b665793791 _:b665793790 . _:b675160816 . _:b675160817 . _:b665793781 _:b665793784 . _:b675160818 . _:b666093111 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b675160819 . _:b675160812 . _:b665793784 _:b665793783 . _:b675160813 . _:b675160814 . _:b678849984 . _:b675160815 . _:b665793780 _:b665793779 . _:b675160808 . _:b665793783 _:b665793782 . _:b675160809 . _:b678849991 . _:b675160810 . _:b665793778 _:b665793777 . _:b665793788 _:b665793791 . _:b675160811 . _:b675160804 . _:b678849994 . _:b675160805 . _:b678849995 . _:b675160806 . _:b665794004 . _:b678849992 . _:b675160807 . _:b665793770 _:b665793771 . _:b665857326 . _:b678849993 . _:b675160800 . _:b665793770 _:b665793772 . _:b675160801 . _:b665857030 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b675160802 . _:b665793774 _:b665793775 . _:b678849996 . _:b675160803 . _:b665793772 _:b665793773 . _:b665176583 . _:b675160796 . _:b675160797 . _:b666092764 "per discussion with Barry Smith" . _:b665177018 . _:b675160798 . _:b665793763 _:b665793765 . _:b665793760 _:b665793761 . _:b663277801 . _:b675160799 . _:b675160792 . _:b665793763 _:b665793764 . _:b675160793 . _:b665793767 _:b665793768 . _:b675160794 . _:b675160802 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665793765 _:b665793766 . _:b675160795 . _:b665459048 . _:b675160788 . _:b675160789 . _:b665971099 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b675160790 . _:b675160791 . _:b675160784 . _:b665793687 _:b665793688 . _:b665793665 _:b665793664 . _:b675160785 . _:b675160786 . _:b665793669 _:b665793668 . _:b675161032 . _:b675160787 . _:b675161039 . _:b665793670 _:b665793669 . _:b675160780 . _:b675161036 . _:b675160781 . _:b665793670 _:b665793667 . _:b665793675 _:b665793672 . _:b665793786 . _:b675160782 . _:b675161034 . _:b665793674 _:b665793673 . _:b675161036 . _:b665459336 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b675160783 . _:b675161039 . _:b675160776 . _:b675161032 . _:b665793671 _:b665793675 . _:b665793675 _:b665793674 . _:b678849773 . _:b675160777 . _:b665857005 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665793666 _:b665793670 . _:b675160778 . _:b675160779 . _:b663276351 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665793667 . _:b675160772 . _:b675160773 . _:b665177025 . _:b675160774 . _:b675160775 . _:b675160768 . _:b675160769 . _:b675160770 . _:b675160771 . _:b665121957 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b675161055 . _:b675161050 . _:b675161053 . _:b675161053 . _:b675161050 . _:b665793695 _:b665793694 . _:b665459076 . _:b665971147 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665793692 _:b665793696 . _:b675161048 . _:b662810215 . _:b665857199 . _:b675161046 . _:b675160789 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b668378626 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b675161043 . _:b675161043 . _:b674016720 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665857575 . _:b675161046 . _:b665793723 _:b665793728 . _:b675161041 . _:b663276402 . _:b665793696 _:b665793695 . _:b668716328 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b674016357 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665793696 _:b665793693 . _:b668379170 . _:b666092731 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b675161057 . _:b662810069 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b674016700 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665793726 _:b665793725 . _:b665793727 _:b665793724 . _:b665793727 _:b665793726 . _:b675161057 . _:b666092643 . _:b675160860 . _:b665176984 . _:b675160861 . _:b675160862 . _:b666092646 . _:b675160863 . _:b663277713 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b666092647 . _:b675160856 . _:b666092644 . _:b675160857 . _:b665459014 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665795357 . _:b666092645 . _:b675160858 . _:b674348821 . _:b665793664 _:b665793663 . _:b666092650 . _:b675160859 . _:b665793773 . _:b675160852 . _:b666092651 . _:b665793772 . _:b666092648 . _:b675160853 . _:b665793775 . _:b666092649 . _:b675160854 . _:b665793774 . _:b666092654 . _:b675160855 . _:b663276483 . _:b666092655 . _:b675160848 . _:b663276480 . _:b666092652 . _:b675160849 . _:b665795349 . _:b665793771 . _:b666092653 . _:b675160850 . _:b665793768 . _:b665793770 . _:b666092658 . _:b675160851 . _:b665793765 . _:b666092659 . _:b675160844 . _:b665795128 . _:b666092656 . _:b675160845 . _:b665793767 . _:b666092657 . _:b675160846 . _:b665793764 . _:b663276490 . _:b665793766 . _:b675160847 . _:b666092662 . _:b665794094 . _:b666092663 . _:b675160840 . _:b665793760 . _:b666092660 . _:b675160841 . _:b665793763 . _:b668716920 . _:b666092661 . _:b675160842 . _:b666092666 . _:b675160843 . _:b668379180 . _:b665793761 . _:b675160402 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b668379219 . _:b665971264 . _:b666092667 . _:b675160836 . _:b665793756 . _:b666092664 . _:b675160837 . _:b668379163 . _:b665793759 . _:b675160838 . _:b666092665 . _:b665793758 . _:b666092670 . _:b675160839 . _:b665793757 . _:b665793753 . _:b666092671 . _:b675160832 . _:b665793754 . _:b665793752 . _:b675160833 . _:b666092668 . _:b666092669 . _:b675160834 . _:b662810162 . _:b675160835 . _:b668379157 . _:b665793749 . _:b665793750 . _:b665793751 . _:b665459078 . _:b668379102 . _:b674016258 . _:b665970972 . _:b662809602 _:b662809601 . _:b662810157 . _:b665795546 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b674016663 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b662809618 _:b662809619 . _:b665970674 . _:b662809605 _:b662809604 . _:b662809606 _:b662809605 . _:b663276437 . _:b662809613 _:b662809616 . _:b665795596 "per discussion with Barry Smith" . _:b662810165 . _:b675160501 . _:b662809609 _:b662809608 . _:b662810164 . _:b662809607 _:b662809610 . _:b662809610 _:b662809609 . _:b675160433 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b662809603 _:b662809606 . _:b662809615 _:b662809614 . _:b665795574 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b662809625 _:b662809628 . _:b665459533 . _:b662809616 _:b662809615 . _:b662809621 _:b662809620 . _:b674016726 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b662809623 _:b662809622 . _:b665857543 . _:b663276492 . _:b662809619 _:b662809621 . _:b665121942 . _:b665793945 . _:b665121943 . _:b662809617 _:b662809624 . _:b662809628 _:b662809627 . _:b665793843 . _:b665970947 . _:b674016615 . _:b662809627 _:b662809626 . _:b663277703 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b662809612 _:b662809613 . _:b662809624 _:b662809618 . _:b662809624 _:b662809623 . _:b665970944 . _:b665793833 . _:b665970950 . _:b665857581 . _:b662809815 _:b662809814 . _:b662809809 _:b662809808 . _:b662809810 _:b662809809 . _:b662809820 _:b662809823 . _:b665458966 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b662809822 _:b662809821 . _:b662809823 _:b662809822 . _:b678850011 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b662809813 _:b662809816 . _:b665795139 . _:b665857574 . _:b674016625 . _:b668378614 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b662809792 _:b662809791 . _:b662809816 _:b662809815 . _:b662809806 _:b662809807 . _:b662809812 _:b662809813 . _:b674348847 . _:b662809793 _:b662809792 . _:b665793795 . _:b662809807 _:b662809810 . _:b666092738 . _:b665122338 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b662810111 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b666092739 . _:b666092736 . _:b666092737 . _:b666092742 . _:b666092743 . _:b666092740 . _:b665795157 . _:b665793813 . _:b665793635 . _:b666092741 . _:b665793814 . _:b666092746 . _:b674016844 . _:b668716899 . _:b662809819 _:b662809820 . _:b666092747 . _:b665459240 . _:b666092744 . _:b665795153 . _:b666092745 . _:b666092750 . _:b665122334 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b666092751 . _:b665459236 . _:b674016837 . _:b666092748 . _:b666092749 . _:b666092754 . _:b666092755 . _:b666092752 . _:b666092753 . _:b662809842 _:b662809839 . _:b666092758 . _:b665970778 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b674016803 . _:b666092759 . _:b665121976 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b666092756 . _:b662809841 _:b662809840 . _:b666092757 . _:b662809842 _:b662809841 . _:b666092762 . _:b665857438 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b666092763 . _:b666092760 . _:b675160354 . _:b666092761 . _:b662809829 _:b662809832 . _:b666092766 . _:b665795420 . _:b666092767 . _:b662809832 _:b662809831 . _:b666092764 . _:b662809854 _:b662809855 . _:b666092765 . _:b662809837 _:b662809836 . _:b666092770 . _:b666092771 . _:b662809837 _:b662809834 . _:b665795419 . _:b666092768 . _:b662809836 _:b662809835 . _:b666092769 . _:b666092774 . . _:b674348963 . _:b666092775 . _:b665971241 . _:b666092772 . _:b665794012 . _:b662809831 _:b662809830 . _:b666092773 . _:b662809833 _:b662809837 . _:b666092778 . _:b662809838 _:b662809842 . _:b665795185 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b666092779 . _:b665794036 . _:b666092776 . _:b666092777 . _:b668716864 . _:b666092782 . _:b675160618 . _:b666092753 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b666092783 . _:b665794006 . _:b665857156 . _:b666092780 . _:b666092781 . _:b666092786 . _:b666092787 . _:b668716905 . _:b666092784 . _:b666092785 . _:b666092790 . _:b666092791 . _:b663277590 . _:b666092788 . _:b666092789 . _:b665795426 . _:b665176586 . _:b666092794 . _:b674016682 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b663277587 . _:b666092795 . _:b665970686 _:b665970685 . _:b666092792 . _:b666092793 . _:b665970687 _:b665970686 . _:b666092798 . _:b665794023 . _:b665970673 _:b665970676 . _:b666092799 . _:b665795448 . _:b665795455 . _:b666092796 . _:b665795452 . _:b665970682 _:b665970681 . _:b666092797 . . _:b666092674 . _:b665970683 _:b665970682 . _:b666092675 . _:b666093138 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665795450 . _:b665795452 . _:b674348628 . _:b666092672 . _:b665795455 . _:b665795448 . _:b665970672 _:b665970671 . _:b666092673 . _:b665970680 _:b665970683 . _:b665970676 _:b665970675 . _:b666092678 . _:b666092679 . _:b662809759 _:b662809768 . _:b666092676 . _:b662809700 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665970684 _:b665970687 . _:b666092677 . _:b665856922 . _:b678849577 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665122266 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b666092682 . _:b668379206 . _:b665970675 _:b665970674 . _:b662809753 _:b662809752 . _:b666092683 . _:b662809751 _:b662809754 . _:b662809754 _:b662809753 . _:b666092680 . _:b665793482 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b666092681 . _:b665856918 . _:b662809790 _:b662809793 . _:b666092686 . _:b674016724 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665794018 . _:b678849840 . _:b666092687 . _:b662809768 _:b662809767 . _:b678849837 . _:b666092684 . _:b662809774 _:b662809772 . _:b666092685 . _:b666092690 . _:b678849839 . _:b665176880 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b678849836 . _:b662809775 _:b662809774 . _:b666092691 . _:b678849838 . _:b665794025 . _:b665970670 _:b665970669 . _:b666092688 . _:b666092689 . _:b678849832 . _:b662809762 _:b662809761 . _:b662809763 _:b662809762 . _:b666092694 . _:b678849835 . _:b666092695 . _:b678849833 . _:b666092692 . _:b662809761 _:b662809760 . _:b662809767 _:b662809766 . _:b666092693 . _:b678849828 . _:b666092698 . _:b678849831 . _:b662809766 _:b662809765 . _:b662810112 . _:b662809764 _:b662809763 . _:b678849830 . _:b666092699 . _:b662809765 _:b662809764 . _:b678849829 . _:b666092696 . _:b678849825 . _:b662809777 _:b662809778 . _:b662809771 _:b662809775 . _:b678849826 . _:b665793980 . _:b666092697 . _:b678849824 . _:b666092702 . _:b662809776 _:b662809780 . _:b666092703 . _:b666092700 . _:b678849821 . _:b665793979 . _:b678849822 . _:b665793962 . _:b662809781 _:b662809787 . _:b666092701 . _:b665793964 . _:b662809772 _:b662809773 . _:b678849823 . _:b666092706 . _:b662809785 _:b662809784 . _:b665459297 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b662810114 . _:b666092707 . _:b665793974 . . _:b662809786 _:b662809785 . _:b662809787 _:b662809786 . _:b665793975 . _:b666092704 . _:b662809784 _:b662809783 . _:b678849817 . _:b665794087 . _:b662809783 _:b662809782 . _:b666092705 . _:b678849816 . _:b678849819 . _:b662810113 . _:b666092710 . _:b665793971 . _:b665459145 . _:b678849818 . _:b666092711 . _:b662809780 _:b662809779 . _:b665793972 . _:b665458930 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665795205 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b666092708 . _:b665971339 . _:b666092709 . _:b678849815 . _:b666092714 . _:b662809779 _:b662809777 . _:b678849814 . _:b666092715 . _:b666092712 . _:b662810115 . _:b666092713 . _:b668716551 . _:b666092718 . _:b666092719 . _:b662810116 . _:b665971142 . _:b666092716 . _:b665971143 . _:b666092717 . _:b668716852 . _:b666092722 . _:b666092723 . _:b666092720 . _:b662810117 . _:b666092721 . _:b665857139 . _:b666092726 . _:b665795380 . _:b668378856 . _:b665793954 . _:b666092727 . _:b665856982 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b666092724 . _:b666092725 . _:b668716847 . _:b666092730 . _:b665795376 . _:b665121984 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b666092731 . _:b665857089 . _:b666092728 . _:b666092729 . _:b666092734 . _:b665795388 . _:b666092735 . _:b666092732 . _:b666092733 . _:b668716855 . _:b666092866 . _:b678849899 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b668716854 . _:b666092867 . _:b666092864 . _:b666092865 . _:b668379058 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . . _:b665971310 . _:b666092870 . _:b666092871 . _:b666092868 . _:b665176845 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b666092869 . _:b678849642 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b666092874 . _:b666092875 . _:b666092872 . _:b668379148 . _:b666092873 . _:b675160776 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b666092878 . _:b665793831 . _:b666092879 . _:b665971201 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b666092876 . _:b666092877 . _:b666092882 . _:b665970685 . _:b666092883 . _:b666092880 . _:b663276493 . _:b675160613 . _:b666092881 . _:b666092886 . _:b665970681 . _:b666092887 . _:b678849964 . _:b666092884 . _:b668378689 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b666092885 . _:b678849962 . _:b665177061 . _:b666092890 . _:b678849963 . _:b675160963 . _:b665971313 . _:b668379030 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b666092891 . _:b663277887 . _:b668378995 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b666092888 . _:b666092983 _:b666092988 . _:b666092983 _:b666092984 . _:b665971319 . _:b666092889 . _:b675160966 . _:b662810030 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b666092894 . . _:b666092895 . _:b665971316 . _:b666092892 . _:b665970921 . _:b674016489 . _:b666092893 . _:b675160970 . _:b666092898 . _:b668378829 . _:b665177090 . _:b666092899 . _:b674016490 . _:b665177091 . _:b666092896 . _:b675160973 . _:b665177088 . _:b666092897 . _:b666092990 _:b666092991 . _:b665177089 . _:b666092902 . _:b665177094 . _:b666092903 . _:b666092990 _:b666092995 . _:b678849591 . _:b665177095 . _:b666092900 . _:b678849590 . _:b665177092 . _:b666092901 . _:b678849589 . _:b665177093 . _:b668378571 . _:b666092906 . _:b663276508 . _:b674016483 . _:b665177098 . _:b666092907 . _:b665177099 . _:b666092904 . _:b674016485 . _:b665177096 . _:b666092905 . _:b665793411 _:b665793410 . _:b665177097 . _:b666092910 . _:b665793430 _:b665793431 . _:b678849592 . _:b665177102 . _:b666092911 . _:b665793409 _:b665793408 . _:b666092908 . _:b665177103 . _:b665793415 _:b665793414 . _:b665793423 _:b665793426 . _:b666092909 . _:b665177100 . _:b668378572 . _:b665177101 . _:b678849596 . _:b666092914 . _:b665793414 _:b665793413 . _:b665177106 . _:b678849597 . _:b665793810 . _:b666092915 . _:b665794016 . _:b662809588 . _:b665793419 _:b665793422 . _:b666092912 . _:b665177107 . _:b674016835 "1"^^ . _:b665459448 . _:b665177104 . _:b666092913 . _:b674016834 "1"^^ . _:b665177105 . _:b666092918 . _:b665793701 . _:b674016833 "1"^^ . _:b665177110 . _:b666093004 _:b666093005 . _:b666092919 . _:b665793412 _:b665793415 . _:b668379260 _:b668379259 . _:b662809592 . _:b668379262 _:b668379263 . _:b665177111 . _:b666092916 . _:b662809599 . _:b665177108 . _:b666092917 . _:b674016496 . _:b665177109 . _:b666092922 . _:b665794023 . _:b665177114 . _:b666092923 . _:b665793421 _:b665793420 . _:b665177115 . _:b666092920 . _:b665793422 _:b665793421 . _:b674016827 "1"^^ . _:b665177112 . _:b666093004 _:b666093009 . _:b666092921 . _:b665794010 . _:b674016826 "1"^^ . _:b668379258 _:b668379257 . _:b665177113 . _:b668379259 _:b668379258 . _:b666092926 . _:b666092997 _:b666093002 . _:b665177118 . _:b668379255 _:b668379254 . _:b666092927 . _:b665793431 _:b665793433 . _:b665177119 . _:b668379256 _:b668379260 . _:b666092924 . _:b662809960 . _:b666092997 _:b666092998 . _:b665793425 _:b665793424 . _:b662809575 . _:b668379254 _:b668379253 . _:b665177116 . _:b666092925 . _:b665793426 _:b665793425 . _:b668379252 _:b668379251 . _:b665793436 _:b665793439 . _:b668379253 _:b668379252 . _:b675160792 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665177117 . _:b666092802 . _:b665177122 . _:b666092803 . _:b665795485 . _:b668379250 _:b668379249 . _:b665177123 . _:b668379251 _:b668379250 . _:b665971118 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b666092800 . _:b662809956 . _:b665793438 _:b665793437 . _:b665177120 . _:b666092801 . _:b665794002 . _:b665177121 . _:b666092806 . _:b665794003 . _:b668379249 _:b668379248 . _:b662809577 . _:b665793439 _:b665793438 . _:b665177126 . _:b666092807 . _:b668379240 _:b668379237 . _:b665794004 . _:b678849622 . _:b665177127 . _:b666092804 . _:b668379236 _:b668379241 . _:b668379241 _:b668379240 . _:b678849623 . _:b665177124 . _:b666092805 . _:b665793429 _:b665793435 . _:b665793433 _:b665793432 . _:b666092810 . _:b665177125 . _:b668379240 _:b668379239 . _:b662809581 . _:b665795334 . _:b665793434 _:b665793430 . _:b666092811 . _:b665177130 . _:b665793435 _:b665793434 . _:b674016820 "1"^^ . _:b668379245 _:b668379244 . _:b665176886 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b678849626 . _:b665177131 . _:b666092808 . _:b678849627 . _:b665177128 . _:b666092809 . _:b665793448 _:b665793447 . _:b678849624 . _:b665793449 _:b665793448 . _:b666092814 . _:b665177129 . _:b668379244 _:b668379243 . _:b678849625 . _:b666092815 . _:b668717002 . _:b665793446 _:b665793449 . _:b666092812 . _:b665793997 . _:b665795471 . _:b665793452 _:b665793454 . _:b665177132 . _:b666092813 . _:b665795466 . _:b674016814 "1"^^ . _:b665795469 . _:b665177133 . _:b666092818 . _:b675160625 . _:b665795469 . _:b665795466 . _:b666092819 . _:b668379247 _:b668379255 . _:b666092816 . _:b665793440 _:b665793443 . _:b665793454 _:b665793453 . _:b666092817 . _:b665795464 . _:b668379242 _:b668379245 . _:b665793443 _:b665793442 . _:b665793450 _:b665793457 . _:b666092822 . _:b668379239 _:b668379238 . _:b665795462 . _:b666092823 . _:b665793442 _:b665793441 . _:b665459418 . _:b666092820 . _:b665795459 . _:b668378844 . . _:b666092821 . _:b668379200 _:b668379201 . _:b666092826 . _:b666092827 . _:b665795459 . _:b666092824 . _:b678849610 . _:b665793458 _:b665793461 . _:b666092825 . _:b665795462 . _:b666092830 . _:b665795457 . _:b665793451 _:b665793452 . _:b668379049 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b666092831 . _:b678849609 . _:b678849614 . _:b665795228 . _:b666092828 . _:b678849615 . _:b666092829 . _:b665795226 . _:b666092834 . _:b665795227 . _:b666092835 . _:b666092832 . _:b666092833 . _:b666092838 . _:b665793460 _:b665793459 . _:b674348527 . _:b665795473 . _:b665793461 _:b665793460 . _:b666092839 . _:b665793457 _:b665793451 . _:b665793456 _:b665793455 . _:b666092836 . _:b666092837 . _:b665794063 . _:b665793585 . _:b668378661 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b666092842 . _:b665793445 _:b665793446 . _:b666092843 . _:b675160598 . _:b665793457 _:b665793456 . _:b666092840 . _:b665793595 . _:b666092841 . _:b668716633 "2024-12-13T02:09:50.003075"^^ . _:b665795473 . _:b666092846 . _:b666092847 . _:b668379205 _:b668379209 . _:b665793593 . _:b668379208 _:b668379207 . _:b666092844 . _:b668379209 _:b668379206 . _:b668379209 _:b668379208 . _:b666092845 . _:b665122326 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b666092850 . _:b666092851 . _:b668379262 _:b668379264 . _:b665459446 . _:b666092848 . _:b666092849 . _:b666092854 . _:b665857314 . _:b666092855 . _:b678849604 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b666092852 . _:b674348452 . _:b668379177 _:b668379176 . _:b666092853 . _:b668379175 _:b668379178 . _:b668379178 _:b668379177 . _:b666092858 . _:b666092859 . _:b668379182 _:b668379181 . _:b666092856 . _:b668379183 _:b668379180 . _:b666092857 . _:b668379183 _:b668379182 . _:b668379168 _:b668379167 . _:b666092862 . _:b665857206 . _:b666092863 . _:b675160406 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b674348762 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b666092860 . _:b666092861 . _:b665176426 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b666092994 . _:b668379169 _:b668379168 . _:b665176427 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b666092995 . _:b665459176 . _:b666092992 . _:b665459179 . _:b675160850 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665459308 . _:b666092993 . _:b665459307 . _:b666092998 . _:b665459306 . _:b668379179 _:b668379183 . _:b666092999 . _:b665459305 . _:b666092996 . _:b665459304 . _:b666092997 . _:b668379184 _:b668379188 . _:b675160594 . _:b666093002 . _:b678849956 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b666093003 . _:b674016583 . _:b665122437 . _:b666093000 . _:b674016256 . _:b675160597 . _:b666093001 . _:b665793776 . _:b666093006 . _:b666093007 . _:b662809936 . _:b666093004 . _:b668379188 _:b668379185 . _:b675160601 . _:b666093005 . _:b668379188 _:b668379187 . _:b668716773 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665970962 . _:b666093010 . _:b666093011 . _:b675160604 . _:b666093008 . _:b666093009 . _:b665177073 . _:b668379187 _:b668379186 . _:b666093014 . _:b662809929 . _:b666093015 . _:b665793733 . _:b666093012 . _:b668379139 _:b668379138 . _:b668379158 _:b668379159 . _:b666093013 . _:b666093018 . _:b668379138 _:b668379137 . _:b668378636 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b666093019 . _:b666093016 . _:b663277642 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b666093017 . _:b668379152 _:b668379153 . _:b666093022 . _:b665793730 . _:b666093023 . _:b668379165 _:b668379166 . _:b666093020 . _:b666093021 . _:b662809922 . _:b665794067 . _:b666093026 . _:b666093027 . _:b666093024 . _:b666093025 . _:b666093030 . _:b663276234 . _:b668379136 _:b668379139 . _:b666093031 . _:b666092723 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b666093028 . _:b666093029 . _:b665793654 . _:b678849594 . _:b668379156 _:b668379155 . _:b668716273 . _:b666093034 . _:b678849595 . _:b666093035 . _:b666093032 . _:b665793641 . _:b678849593 . _:b666093033 . _:b668379155 _:b668379154 . _:b666093038 . _:b666093039 . _:b665795533 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b666093036 . _:b668379166 _:b668379169 . _:b666093037 . _:b666093042 . _:b668379153 _:b668379156 . _:b665793647 . _:b666093043 . _:b666093040 . _:b665795116 . _:b665793633 . _:b666093041 . _:b668379161 _:b668379160 . _:b665793634 . _:b668379159 _:b668379162 . _:b668379162 _:b668379161 . _:b666093046 . _:b665793635 . _:b666093047 . _:b666093044 . _:b666093045 . _:b665794144 . _:b665793865 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b666093050 . _:b665794141 . _:b666093051 . _:b666093048 . _:b663276367 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b668716633 . _:b665794143 . _:b665857198 . _:b666093049 . _:b665794140 . _:b665970895 . _:b665794142 . _:b666093054 . _:b663276242 . _:b666093055 . _:b665793628 . _:b665794136 . _:b666093052 . _:b665794139 . _:b666093053 . _:b666092930 . _:b665794137 . _:b666092931 . _:b665794132 . _:b666092928 . _:b666093072 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b674348325 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b665794135 . _:b666092929 . _:b665971210 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665794134 . _:b666092934 . _:b665794133 . _:b665459362 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665794129 . _:b666092935 . _:b665794130 . _:b675160982 . _:b665794128 . _:b666092932 . _:b665459163 . _:b675160744 "per discussion with Barry Smith" . _:b666092933 . _:b666092938 . _:b665794125 . _:b666092939 . _:b665794126 . _:b666092936 . _:b662810305 _:b662810306 . _:b662810305 _:b662810310 . _:b665794127 . _:b666092937 . _:b675160757 "per discussion with Barry Smith" . _:b666092942 . _:b668378635 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665794121 . _:b666092943 . _:b665793610 . _:b665794120 . _:b665793611 . _:b666092940 . _:b665794123 . _:b663276260 . _:b678850088 . _:b666092941 . _:b665970749 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b665794122 . _:b666092946 . _:b665793606 . _:b666092947 . _:b666092944 . _:b665794119 . _:b666092945 . _:b665793602 . _:b665794118 . _:b666092950 . _:b665793605 . _:b665793603 . _:b666092951 . _:b666092948 . _:b665795179 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b666092949 . _:b678850081 . _:b666092954 . _:b666092955 . _:b665793720 . _:b666092952 . _:b665176594 . _:b666092953 . _:b665121965 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b666092958 . _:b665971341 . _:b666092959 . _:b666092956 . _:b666092957 . _:b675160994 . _:b674016294 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b666092962 . _:b666092963 . _:b665793712 . _:b678850075 . _:b666092960 . _:b665793713 . _:b666092961 . _:b666092966 . _:b674016689 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665793715 . _:b665857458 . _:b666092967 . _:b665793716 . _:b666092964 . _:b662809915 . _:b665793717 . _:b666092965 . _:b665793718 . _:b666092970 . _:b665793719 . _:b666092971 . _:b665793704 . _:b678850067 . _:b666092968 . _:b665793705 . _:b665176604 . _:b678850068 . _:b666092969 . _:b665122312 . _:b665793706 . _:b678850069 . _:b666092974 . _:b666092975 . _:b665857274 "2024-09-28T14:17:44.204644"^^ . _:b665793708 . _:b666092972 . _:b665793709 . _:b668716902 . _:b666092973 . _:b665793710 . _:b665857174 . _:b665857455 . _:b666092978 . _:b665793711 . _:b665856975 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b666092979 . _:b666092976 . _:b665122311 . _:b665793697 . _:b666092977 . _:b665793698 . _:b666092982 . _:b665793699 . _:b678850062 . _:b665857210 . _:b666092983 . _:b665793700 . _:b666092980 . _:b668379264 _:b668379265 . _:b665793701 . _:b665857358 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b666092981 . _:b674016484 . _:b665793702 . _:b666092986 . _:b665793703 . _:b668379266 _:b668379267 . _:b666092987 . _:b668379271 _:b668379272 . _:b665857497 . _:b666092984 . _:b668379269 _:b668379270 . _:b675160967 . _:b665857496 . _:b666092985 . _:b668379269 _:b668379271 . _:b665857499 . _:b666092990 . _:b662810306 _:b662810308 . _:b665857498 . _:b666092991 . _:b666092988 . _:b662810306 _:b662810307 . _:b662810308 _:b662810309 . _:b666092989 . _:b668379273 _:b668379274 . _:b665857503 . _:b662810310 _:b662810311 . . _:b668379278 _:b668379279 . _:b665857489 . _:b668379276 _:b668379278 . _:b665795139 . _:b665857488 . _:b668379276 _:b668379277 . _:b668379287 _:b668379288 . _:b675160892 . _:b665793685 . _:b668379285 _:b668379286 . _:b675160893 . _:b665793686 . _:b665793687 . _:b665857494 . _:b675160888 . _:b668379283 _:b668379285 . _:b675160811 "per discussion with Barry Smith" . _:b668379280 _:b668379281 . _:b675160875 . _:b675160877 . _:b665122493 . _:b668379283 _:b668379284 . _:b675160364 . _:b675160887 . _:b678850167 . _:b678850152 . _:b678850153 . _:b678850171 . _:b675160884 . _:b665795782 . _:b678850154 . _:b675160885 . _:b665793576 . _:b678850169 . _:b663276380 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665794021 . _:b668716816 . _:b665177072 . _:b678850144 . _:b678850145 . _:b678850146 . _:b665795283 . _:b678850147 . _:b662810291 _:b662810292 . _:b663277654 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b675160987 . _:b678850149 . _:b662810291 _:b662810296 . _:b678850150 . _:b675160775 "per discussion with Barry Smith" . _:b678850151 . _:b678850136 . _:b665793837 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b678850137 . _:b678849524 . _:b665857183 . _:b675160867 . _:b675160770 "per discussion with Barry Smith" . _:b678850138 . _:b678850139 . _:b678850140 . _:b678850142 . _:b665121914 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b662810298 _:b662810303 . _:b662810298 _:b662810299 . _:b678850143 . _:b665794006 . _:b674016313 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b665794008 . _:b678850131 . _:b678850132 . _:b678850133 . _:b678850134 . _:b678850135 . . _:b665794014 . _:b678850120 . _:b666093107 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b678850121 . _:b665793791 . _:b665793779 . _:b665857341 . _:b674016440 . _:b665793778 . _:b674348594 . _:b662810284 _:b662810285 . _:b678849946 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b663276375 "requested by Melanie Courtot" . _:b668379261 . _:b665793649 . _:b662810284 _:b662810289 . _:b662810263 _:b662810262 . _:b662810265 _:b662810268 . _:b665793737 . _:b662810262 _:b662810261 . _:b678850119 . _:b662810263 _:b662810260 . _:b665795164 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665795548 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665793637 . _:b666092791 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665793656 . _:b662810268 _:b662810267 . _:b665793735 . . _:b662810270 _:b662810278 . _:b662810259 _:b662810264 . _:b665857120 . _:b663276309 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b662810267 _:b662810266 . _:b668379171 "1"^^ . _:b668379170 "1"^^ . _:b662810264 _:b662810263 . _:b678850077 . _:b662810281 _:b662810280 . _:b662810287 _:b662810288 . _:b662810282 _:b662810281 . _:b665856985 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665793654 . _:b662810283 _:b662810282 . _:b662810279 _:b662810283 . _:b662810285 _:b662810287 . _:b668379172 "1"^^ . _:b662810272 _:b662810271 . _:b665795304 . _:b668379163 "1"^^ . _:b665795843 "2024-09-28T11:59:22.516033"^^ . _:b662810285 _:b662810286 . _:b662809744 . _:b665793643 . _:b662810274 _:b662810273 . _:b662810275 _:b662810274 . _:b678850071 . _:b675160936 . _:b662809745 . _:b662810273 _:b662810272 . _:b665793733 . _:b675160571 . _:b668379164 "1"^^ . _:b662810278 _:b662810277 . _:b662810303 _:b662810304 . _:b662810276 _:b662810275 . _:b662810277 _:b662810276 . _:b665795531 . _:b662809741 . _:b675160929 . _:b662810301 _:b662810302 . _:b668379157 "1"^^ . _:b662809742 . _:b662810299 _:b662810300 . _:b662809730 . _:b665857086 . _:b662810299 _:b662810301 . _:b662810296 _:b662810297 . _:b662809729 . _:b662810292 _:b662810293 . _:b662809728 . _:b668379151 "1"^^ . _:b662809734 . _:b662809731 . _:b662810294 _:b662810295 . _:b662810292 _:b662810294 . _:b665176561 . _:b665458927 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b662809732 . _:b675160923 . _:b662810289 _:b662810290 . _:b662809743 . _:b662809733 . _:b678850088 . _:b665857374 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b674348680 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b662810223 _:b662810224 . _:b662809735 . _:b662810232 _:b662810229 . _:b675160915 . _:b665176605 . _:b662810228 _:b662810232 . _:b675160916 . _:b678850083 . _:b675160917 . _:b662809738 . _:b662810232 _:b662810231 . _:b662809737 . _:b662809740 . _:b662809736 . _:b662809739 . _:b662810231 _:b662810230 . _:b675160981 . _:b675160910 . _:b678850090 . _:b674016753 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665176549 . _:b662809747 . _:b668379143 . _:b662809746 . _:b675160873 . _:b665793462 . _:b663276502 . _:b665857119 . _:b665459592 "2024-09-15T04:09:27.573677"^^ . _:b663277595 . _:b665176556 . _:b665857391 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b662810211 _:b662810210 . _:b662809748 . _:b674016316 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b662810211 _:b662810208 . _:b662810210 _:b662810209 . _:b674348642 . _:b668716394 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b675160870 . _:b675160464 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b668716395 "An entity a is an object aggregate if and only if there is a mutually exhaustive and pairwise disjoint partition of a into objects " . _:b662810192 _:b662810191 . _:b662809661 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b662810202 _:b662810206 . _:b675160858 . _:b674016859 . _:b662810181 _:b662810182 . _:b674016858 . _:b665857089 . _:b675161015 . _:b662810207 _:b662810211 . _:b675160913 . _:b675161000 . _:b662810206 _:b662810203 . _:b675160912 . _:b675161001 . _:b675161019 . _:b665176478 . _:b662810205 _:b662810204 . _:b675161002 . _:b662810206 _:b662810205 . _:b675160914 . _:b665793836 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b674348641 . _:b662810188 _:b662810189 . _:b662810201 _:b662810200 . _:b675161017 . _:b662810200 _:b662810199 . _:b662810198 _:b662810201 . _:b675160918 . _:b662810179 _:b662810178 . _:b674016852 . _:b665971333 . _:b675160992 . _:b675160904 . _:b675160993 . _:b674016854 . _:b662810178 _:b662810177 . _:b675160994 . _:b675160995 . _:b675160909 . _:b662810189 _:b662810192 . _:b668378832 . _:b675160997 . _:b675160911 . _:b663277662 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b675160998 . _:b675160999 . _:b662810184 _:b662810183 . _:b668378835 . _:b675160984 . _:b662810185 _:b662810184 . _:b665176412 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b675160985 . _:b662810182 _:b662810185 . _:b675160986 . _:b674016865 . _:b675160987 . _:b675160988 . _:b662810191 _:b662810190 . _:b668379005 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b675160903 . _:b665857129 . _:b675160990 . _:b662810176 _:b662810179 . _:b665857128 . _:b675160991 . _:b662810153 _:b662810152 . _:b665857130 . _:b662810150 _:b662810156 . _:b662810154 _:b662810153 . _:b662810155 _:b662810154 . _:b662810152 _:b662810151 . _:b662810156 _:b662810155 . _:b675160979 . _:b662810144 _:b662810143 . _:b675160980 . _:b665857134 . _:b675160981 . _:b662810145 _:b662810149 . _:b675160982 . _:b674348620 . _:b665857120 . _:b675160983 . _:b665795339 . _:b665122283 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b675160968 . _:b678849549 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b675160969 . _:b674016763 . _:b665857125 . _:b662810159 _:b662810162 . _:b665857127 . _:b662810148 _:b662810146 . _:b665459323 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b662810149 _:b662810148 . _:b668378825 . _:b674016691 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b668378828 . _:b668379145 . _:b675160967 . _:b662810146 _:b662810147 . _:b674348860 . _:b662810161 _:b662810160 . _:b674016897 . _:b668378811 . _:b662810162 _:b662810161 . _:b662810175 _:b662810176 . _:b665176401 . _:b665176402 . _:b662809629 . _:b662809634 . _:b662809630 . _:b665793724 . _:b665970971 . _:b668378680 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b662809638 . _:b675160989 . _:b675160925 . _:b662810120 _:b662810123 . _:b665122339 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b662809644 . _:b662810141 _:b662810142 . _:b662810122 _:b662810121 . _:b662809646 . . _:b662809645 . _:b662810123 _:b662810122 . _:b665857489 . _:b662809647 . _:b678849843 . _:b675160919 . _:b665793464 . _:b668716775 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b662810135 _:b662810134 . _:b678849844 . _:b663276531 . _:b665857642 . _:b662810134 _:b662810133 . _:b662810132 _:b662810131 . _:b662810133 _:b662810132 . _:b665971332 . _:b662809648 . _:b678849802 . _:b665857212 . _:b668379282 . _:b662810130 _:b662810129 . _:b662810131 _:b662810130 . _:b678849800 . _:b662809652 . _:b665176593 . _:b662810143 _:b662810141 . _:b662810128 _:b662810137 . _:b662809650 . _:b662810140 _:b662810144 . _:b665857205 . _:b668379275 . _:b665857635 . _:b678849973 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665176358 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b662809662 . _:b662809663 . _:b662809661 . _:b662810137 _:b662810136 . _:b665793688 . _:b665793700 . _:b662809657 . _:b675160630 . _:b668378850 . _:b662809656 . _:b662810136 _:b662810135 . _:b662809659 . _:b662809658 . _:b674016322 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b675160936 . _:b674348631 . _:b662809655 . _:b668379268 . _:b662809653 . _:b662809654 . _:b674348896 . _:b662809660 . _:b665793444 . _:b662809649 . _:b675160931 . _:b665793445 . _:b662809651 . _:b674016246 . _:b665794005 . _:b674348634 . _:b662809640 . _:b674348619 . _:b678849798 . _:b665122206 . _:b662809643 . _:b662809642 . _:b675160938 . _:b662809636 . _:b665793409 . _:b665459419 . _:b662809637 . _:b665793422 . _:b662809639 . _:b665793410 . _:b675160632 . . _:b666093184 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b662809633 . _:b675160633 . _:b665122345 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665793417 . _:b662809635 . _:b662809632 . _:b678850010 . _:b675160996 . _:b662809689 . _:b662809690 . _:b678849908 . _:b674016384 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b675160624 . _:b662809698 . _:b675160625 . _:b665793426 . _:b662809699 . _:b675160626 . _:b662809697 . _:b674348478 . _:b663277769 . _:b675160628 . _:b678849898 . _:b675160629 . _:b675160630 . _:b665857628 . _:b675160631 . _:b674348640 . _:b675160616 . _:b675160617 . _:b674016685 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b675160618 . _:b675160619 . _:b668716530 . _:b662809717 . _:b665857621 . _:b675160621 . _:b662809716 . _:b665794145 . _:b675160622 . _:b675160623 . _:b662809718 . _:b678849587 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b662809719 . _:b675160589 . _:b665176418 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b675160610 . _:b668378941 . _:b663277721 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b662809715 . _:b668378940 . _:b675160611 . _:b662809714 . _:b675160612 . _:b678849860 . _:b675160613 . _:b668379004 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b675160614 . _:b662809723 . _:b675160615 . _:b662809720 . _:b662809722 . _:b675160600 . _:b662809667 . _:b678849856 . _:b662809668 . _:b662809721 . _:b665177062 . _:b665793712 . _:b665795168 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b662809665 . _:b662809664 . _:b662809724 . _:b662809666 . _:b665795771 . _:b662809727 . _:b678849878 . _:b662809670 . _:b662809671 . _:b662809669 . _:b662809726 . _:b678849879 . _:b662809725 . _:b662809675 . _:b662809712 . _:b675160598 . _:b674348900 . _:b662809674 . _:b662809713 . _:b675160599 . _:b662809673 . _:b662809679 . _:b662809672 . _:b663277852 . _:b668378820 . _:b662809678 . _:b662809676 . _:b662809677 . _:b662809686 . _:b662809707 . _:b662809687 . _:b665176377 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b662809684 . _:b662809685 . _:b665459229 . _:b665458889 . _:b662809705 . _:b662809680 . _:b662809682 . _:b662809706 . _:b665794047 . _:b662809683 . _:b675160744 . _:b665857179 . _:b662809709 . _:b662809704 . _:b662809711 . _:b662809710 . _:b662809681 . _:b662809708 . _:b662809695 . _:b665857182 . _:b665793685 . _:b662809693 . _:b665458881 . _:b662809691 . _:b662809692 . _:b662809700 . _:b674016394 . _:b662809702 . _:b662809701 . _:b662809696 . _:b662809703 . _:b662809688 . _:b662809694 . _:b662810016 . _:b662810012 . _:b662810011 . _:b662810017 . _:b662809586 . _:b662810009 . _:b662810008 . _:b662809587 . _:b666093261 . _:b665458907 . _:b662809597 . _:b662809590 . _:b662810005 . _:b662810004 . _:b662809591 . _:b665857570 . _:b662810021 . _:b665793474 . _:b666093254 . _:b662810006 . _:b662810019 . _:b662810030 . _:b665795563 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b662810031 . _:b662810001 . _:b662809596 . _:b662810002 . _:b662810032 . _:b662809598 . _:b666093248 . _:b662809998 . _:b662810033 . _:b662810035 . _:b674016415 . _:b662809999 . _:b662810034 . _:b675160691 . _:b662810039 . _:b662810038 . _:b675160614 . _:b675160692 . _:b662810042 . _:b662810043 . _:b665122313 . _:b662810040 . _:b662810041 . _:b665857285 . _:b665122315 . _:b675160650 . _:b665122314 . _:b662810046 . _:b665857186 . _:b662809579 . _:b662810044 . _:b665122316 . _:b665971289 "1"^^ . _:b662809580 . _:b675160648 . _:b662810047 . _:b665795787 . _:b662810045 . _:b665971288 "1"^^ . _:b665857189 . _:b665793843 . _:b665856989 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665121921 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b665971281 "1"^^ . _:b665971280 "1"^^ . _:b674348259 . _:b678849945 . _:b665971287 "1"^^ . _:b678849944 . _:b674016420 . _:b662810036 . _:b668378779 . _:b674016320 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665793975 . _:b675160627 . _:b662810037 . _:b665971274 "1"^^ . _:b678849937 . _:b662810025 . _:b678849936 . _:b668716417 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b675160999 . _:b678849939 . _:b662810027 . _:b668716533 . _:b678849938 . _:b662810026 . _:b662810003 . _:b678849941 . _:b666093096 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b678849940 . _:b662810028 . _:b678849943 . _:b678849942 . _:b662810007 . _:b678850044 . _:b675160620 . _:b662810013 . _:b662810024 . _:b662810020 . _:b674348907 . _:b678850045 . _:b675160646 . _:b662810022 . _:b674348366 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b662810015 . _:b668379225 . _:b662810023 . _:b678849918 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665971268 "1"^^ . . _:b678850040 . _:b665793652 . _:b668716391 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b678850027 . _:b678850029 . _:b662810029 . _:b662810014 . _:b662810018 . _:b678850039 . _:b662810085 . _:b662810072 . _:b662810084 . _:b665458972 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665793954 . _:b678850036 . _:b662810086 . _:b678850037 . _:b662810087 . _:b678849957 . _:b678849956 . _:b662810075 . _:b662810083 . _:b662810078 . _:b662810077 . _:b662810074 . _:b662810073 . _:b675160756 . _:b662810076 . _:b662810079 . _:b678849976 . _:b678849977 . _:b663276246 . _:b662810089 . _:b662810091 . _:b662810088 . _:b665793637 . _:b663276231 . _:b662810070 . _:b665795783 . _:b665793639 . _:b675160746 . _:b662810092 . _:b662810065 . _:b668716447 . _:b662810090 . _:b663276243 . _:b662810069 . _:b662810071 . _:b665795289 . _:b665857503 . _:b662810058 . _:b678850019 . _:b662810059 . _:b665793645 . _:b662810107 . _:b678849918 . _:b678849919 . _:b662810106 . _:b678849916 . _:b662810105 . _:b662810109 . _:b674016466 "1"^^ . _:b662810104 . _:b678849917 . _:b662810108 . _:b678849911 . _:b674016465 "1"^^ . _:b662809697 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665795239 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b678849910 . _:b668378708 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b674016464 "1"^^ . _:b665121911 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b675160708 . _:b665793606 . _:b678849909 . _:b662810055 . _:b675160704 . _:b662810054 . _:b678849985 . _:b665795740 . _:b662810052 . _:b678849986 . _:b663276252 . _:b674016458 "1"^^ . _:b662810053 . _:b678849987 . _:b674016457 "1"^^ . _:b662810048 . _:b668379198 . _:b662810050 . _:b678849988 . _:b678849989 . _:b662810049 . _:b665971219 "1"^^ . _:b662810051 . _:b662810111 . _:b678849990 . _:b678849893 . _:b662810110 . _:b662810098 . _:b662810062 . _:b662810099 . _:b675160726 . _:b662810100 . _:b674016451 "1"^^ . _:b662810097 . _:b665971220 "1"^^ . _:b678850009 . _:b675160727 . _:b662810060 . _:b678850008 . _:b666093160 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b662810061 . _:b662810102 . _:b662810096 . _:b662810103 . _:b662810056 . _:b662810063 . _:b662810057 . _:b665857345 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b662810101 . _:b665970754 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b678849896 . _:b678849900 . _:b678849899 . _:b662810093 . _:b662810068 . _:b678849896 . _:b674348906 . _:b662810095 . _:b662810094 . _:b662810066 . _:b662810067 . _:b678849897 . _:b668378782 . _:b662810064 . _:b674016445 "1"^^ . _:b662810081 . _:b665857473 . _:b662810080 . _:b662810082 . _:b668379213 . _:b675160612 . _:b665795162 . _:b675160729 . _:b678849862 . _:b678849861 . _:b665121905 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674016384 . _:b665795508 . _:b674016385 . _:b668378636 . _:b668378635 . _:b668378634 . _:b668379289 . _:b678849861 . _:b663276512 . _:b668378633 . _:b674016387 . _:b668378632 . _:b674016386 . _:b678849862 . _:b678849714 . _:b665856945 . _:b678849971 . _:b678849702 . _:b678849974 . _:b674016388 . _:b678849969 . _:b678849721 . _:b678849972 . _:b665458935 . _:b665122353 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b678849945 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665458934 . _:b678849980 . _:b665176946 . _:b663276509 . _:b678849983 . _:b678849976 . _:b678849978 . _:b674016396 "1"^^ . _:b675160983 . _:b678849956 . _:b675160481 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b674016397 "1"^^ . _:b678849719 . _:b665793415 . _:b668378961 . _:b678849958 . _:b675160545 . _:b662809610 . _:b665458938 . _:b678849952 . _:b668378966 . _:b665458937 . _:b665458936 . _:b666093171 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665793585 . _:b678849539 . _:b665971140 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b678849963 . _:b678849965 . _:b668378969 . _:b678849708 . _:b678849967 . _:b662809602 . _:b668378973 . _:b668378947 . _:b668378645 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b678849941 . _:b668378945 . _:b668716756 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665459509 . _:b668378951 . _:b675160377 . _:b675160515 . _:b662809628 . _:b674348272 . _:b668378955 . _:b678849948 . _:b668716428 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b678849650 . _:b668379194 . _:b668379197 . _:b674348700 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b668716760 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b678849922 . _:b665857022 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b678849658 . _:b674348273 . _:b678849660 . _:b678849927 . _:b678849923 . _:b665793728 . _:b678849934 . _:b678849928 . _:b674348251 . _:b665122280 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b678849920 . _:b678849921 . _:b665794091 . _:b675160357 . _:b675160543 . _:b675160358 . _:b668378804 . _:b665857452 . _:b665794099 . _:b675160335 . _:b675160323 . _:b675160322 . _:b668379201 . _:b668378897 . _:b665857104 . _:b665970841 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b668379077 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b668379204 . _:b668378902 . _:b674348694 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b662810139 . _:b668716642 . _:b675160339 . _:b665794048 . _:b678849576 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665794049 . _:b668378904 . _:b674016280 . _:b668378911 . _:b675160489 . _:b674016282 . _:b674016283 . _:b674016288 . _:b668378909 . _:b674016276 . _:b665794059 . _:b674016277 . _:b674016279 . _:b674016292 . _:b674016273 . _:b678850000 . _:b674016290 . _:b678849712 . _:b674016275 . _:b674016302 . _:b668716786 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b666092703 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b674016303 . _:b674016272 . _:b674016301 . _:b674016305 . _:b678850003 . _:b674016304 . _:b674016306 . _:b678850010 . _:b674016269 . _:b678850013 . _:b668378888 . _:b674016270 . _:b678850015 . _:b668378895 . _:b674016310 . _:b674016309 . _:b678850008 . _:b674016311 . _:b678849719 . _:b675160375 "per discussion with Barry Smith" . _:b665795278 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b678850011 . _:b678849706 . _:b674016315 . _:b674016314 . _:b665857382 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b678849989 . _:b674016313 . _:b674016319 . _:b674016312 . _:b678849991 . _:b668378934 . _:b674016318 . _:b674016316 . _:b665177024 . _:b674016317 . _:b678849698 . _:b668378938 . _:b678849699 . _:b665970966 . _:b665177029 . _:b665793682 . _:b678849700 . _:b678850208 . _:b665793787 . _:b668716308 . _:b665793681 . _:b678849998 . _:b678850209 . _:b675160958 . _:b665458946 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b666093297 . _:b678850204 . _:b665793684 . _:b668378620 . _:b665459178 . _:b665122274 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b678850207 . _:b668378621 . _:b665121970 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b678850206 . _:b668378622 . _:b678850205 . _:b678849589 . _:b678850201 . _:b668378623 . _:b678850202 . _:b665793690 . _:b665793688 . _:b678850200 . _:b668378616 . _:b678849693 . _:b674016307 . _:b668378617 . _:b674016308 . _:b668378918 . _:b678850197 . _:b665793691 . _:b668378619 . _:b678850198 . _:b675160562 . _:b668378916 . _:b668378612 . . _:b678850199 . _:b678849587 . _:b675160550 . _:b668378923 . _:b668378613 . _:b674016297 . _:b678849594 . _:b678849596 . _:b668378614 . _:b675160971 . _:b674016296 . _:b665857567 . _:b668378921 . _:b678850193 . _:b668378615 . _:b674016299 . _:b665793636 . _:b674016274 . _:b678849598 . _:b678850192 . _:b678850195 . _:b674016298 . _:b675160569 . _:b668378927 . _:b668378609 . _:b674348944 . _:b678850194 . _:b665122507 . _:b668378610 . _:b674348716 . _:b668378611 . _:b665793678 . _:b674016278 . _:b674348717 . _:b665857540 . _:b674016295 . _:b678850191 . _:b668379014 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b678849676 . _:b675160960 . _:b678850188 . _:b674348715 . _:b678849572 . _:b678850190 . _:b665971036 . _:b668378606 . _:b674016293 . _:b674016284 . _:b674348951 . _:b678850185 . _:b674016294 . _:b668378607 . _:b665971033 . . _:b675160965 . _:b678849675 . _:b674016286 . _:b678850187 . _:b665176869 . _:b678850184 . _:b675160964 . _:b665971035 . _:b674016300 . _:b665971032 . _:b678850186 . _:b674016289 . _:b674016285 . _:b665176870 . _:b665971034 . _:b678849670 . _:b674016287 . _:b678849671 . _:b675160567 . _:b674016291 . _:b665971028 . _:b674016357 . _:b678850183 . _:b668379099 . _:b665971031 . _:b674016347 . _:b674016356 . _:b678849667 . _:b665971029 . _:b674016358 . _:b678849668 . _:b674348958 . _:b665971024 . _:b674016345 . _:b678849583 . _:b674016359 . _:b674016346 . _:b675160360 . _:b668378556 . _:b665971027 . _:b665971026 . _:b674016349 . _:b668378557 . _:b665971025 . _:b674016355 . _:b674016351 . _:b674016344 . _:b674016766 "1"^^ . _:b665971021 . _:b678849784 . _:b675160387 . _:b674016350 . _:b665971022 . _:b674016354 . _:b665793721 . _:b674016348 . _:b678849785 . _:b665971020 . _:b678849579 . _:b675160556 . _:b674016765 "1"^^ . _:b665795199 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665793722 . _:b674016363 . _:b665971017 . _:b674016360 . _:b665971018 . _:b674016362 . _:b665857579 . _:b674348937 . _:b678849559 . _:b678849553 . _:b665971019 . _:b678849558 . _:b674016361 . _:b674016340 . _:b665458859 . _:b674016342 . _:b668716408 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b668378838 . _:b678849776 . _:b665971013 . _:b678849554 . _:b674016341 . _:b674016336 . _:b674016343 . _:b665971012 . _:b678849777 . _:b665971015 . _:b678849778 . _:b674016329 . _:b675161003 . _:b665971123 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665971014 . _:b674016330 . _:b678849565 . _:b678849780 . _:b678849781 . _:b662809910 . _:b674016375 . _:b665971011 . _:b678849782 . _:b665971010 . _:b678849783 . _:b674348250 . _:b678849552 . _:b678849768 . _:b668378572 . _:b675160498 . _:b678849769 . _:b675160958 . _:b678849550 . _:b678849770 . _:b674016378 . _:b678849551 . _:b678849771 . _:b674016377 . _:b678849548 . _:b678849542 . _:b668379120 . _:b674016376 . _:b674016380 . _:b678849549 . _:b678849773 . _:b674016379 . _:b678849774 . _:b665857360 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665857552 . _:b678849547 . _:b678849775 . _:b668379125 . _:b668378571 . _:b678849540 . _:b674016326 . _:b678849541 . _:b665795537 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b674348271 . _:b678849762 . _:b675160442 "per discussion with Barry Smith" . _:b674016327 . _:b675160506 . _:b678849763 . _:b675160508 . _:b674016324 . _:b674016325 . _:b678849764 . _:b675160388 "per discussion with Barry Smith" . _:b668379128 . _:b665857083 . _:b678849765 . _:b662809897 . _:b674016381 . _:b674016320 . _:b674016322 . _:b678849766 . _:b662809890 . _:b674016323 . _:b678849767 . _:b674348262 . _:b678849752 . _:b662809900 . _:b674016382 . _:b668378684 . _:b674016321 . _:b674016335 . _:b674016370 . _:b668378685 . _:b668379106 . _:b668378686 . _:b675160748 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b674016369 . _:b674016333 . _:b668378687 . _:b662809888 . _:b662809896 . _:b674016368 . _:b668378680 . _:b662809889 . _:b674016331 . _:b668378681 . _:b674016374 . _:b665177132 . _:b674016371 . _:b662809901 . _:b668378682 . _:b674016332 . _:b662809891 . _:b674016372 . _:b668378683 . _:b665177129 . _:b662809892 . _:b674016383 . _:b675160375 . _:b668378676 . _:b674016328 . _:b674016373 . _:b674016334 . _:b668378677 . _:b665177131 . _:b674016364 . _:b665177128 . _:b668378678 . _:b665177130 . _:b668378679 . _:b662809880 . _:b668378672 . _:b665177124 . _:b674016367 . _:b665795786 . _:b662809881 . _:b674016338 . _:b668378673 . _:b678849750 . _:b665177127 . _:b675160406 "per discussion with Barry Smith" . _:b662809882 . _:b674016339 . _:b674016366 . _:b668378674 . _:b674348265 . _:b678849751 . _:b662809883 . _:b674016365 . _:b674016337 . _:b665177125 . _:b665177017 . _:b668378675 . _:b665459259 . _:b662809884 . _:b668378668 . _:b665177120 . _:b675160401 "per discussion with Barry Smith" . _:b662809885 . _:b668378669 . _:b665177123 . _:b662809886 . _:b674016352 . _:b668378670 . _:b665177122 . _:b662809887 . _:b665177121 . _:b668378671 . _:b674016353 . _:b665177117 . _:b668378618 . _:b662809872 . _:b665177118 . _:b668378664 . _:b665177116 . _:b662809873 . _:b678849639 . _:b668378665 . _:b662809874 . _:b668378666 . _:b662809875 . _:b665857555 . _:b668378667 . _:b665177113 . _:b665459251 . _:b662809876 . _:b678849634 . _:b665177114 . _:b665122421 . _:b668378660 . _:b678849641 . _:b662809877 . _:b668378661 . _:b674016672 . _:b674016665 . _:b665177115 . _:b668378608 . _:b662809878 . _:b678849644 . _:b665857558 . _:b662810229 . _:b668378662 . _:b674016673 . _:b665857226 . _:b674016675 . _:b662809879 . _:b668378663 . _:b665177109 . _:b674016667 . _:b662809864 . _:b678849646 . _:b674016674 . _:b665122290 "(forall (x y t) (if (and (SpatialRegion x) (continuantPartOfAt y x t)) (SpatialRegion y))) // axiom label in BFO2 CLIF: [036-001] " . _:b668378656 . _:b665177108 . _:b674016666 . _:b662809865 . _:b678849641 . _:b665177111 . _:b668378657 . _:b665857354 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b662809866 . _:b668378658 . _:b674016679 . _:b674016668 . _:b665177110 . _:b662809867 . _:b674016678 . _:b662809859 . _:b668378659 . _:b665857220 . _:b665857072 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b662809868 . _:b678849642 . _:b668378652 . _:b662809869 . _:b665177107 . _:b665857589 . _:b674016682 . _:b668378653 . _:b674016664 . _:b674016660 . _:b665459277 . _:b674016683 . _:b662809870 . _:b678849620 . _:b668378654 . _:b665177106 . _:b662809871 . _:b674016680 . _:b668378655 . _:b674016662 . _:b674016681 . _:b668378594 . _:b678849622 . _:b674348531 . _:b662809856 . _:b674016663 . _:b668378648 . _:b665857219 . _:b668378603 . _:b662809857 . _:b674016686 . _:b668378649 . _:b668378596 . _:b662809858 . _:b668378650 . _:b674016669 . _:b674016684 . _:b674016658 . _:b668378651 . _:b665795194 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b662809860 . _:b674016687 . _:b668378644 . _:b674016685 . _:b662809861 . _:b663277737 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665857597 . _:b668378645 . _:b674016695 . _:b668378646 . _:b674016694 . _:b668378647 . _:b674016652 . _:b674016692 . _:b668378602 . _:b668378640 . _:b674016693 . _:b668378595 . _:b675160560 . _:b662809977 . _:b678849631 . _:b668378641 . _:b674016690 . _:b674016688 . _:b674016651 . _:b674016649 . _:b668378642 . _:b674016689 . _:b674016648 . _:b674016691 . _:b668378778 . _:b668378643 . _:b662809980 . _:b665857548 . _:b662809972 . _:b668378636 . _:b668378599 . _:b662809981 . _:b678849629 . _:b668378637 . _:b674016645 . _:b678849602 . _:b674016702 . _:b668378638 . _:b665121945 . _:b674016644 . _:b668378585 . _:b662809983 . _:b678849605 . _:b678849603 . _:b665857551 . _:b668378639 . _:b665121944 . _:b675160567 . _:b662809976 . _:b674016700 . _:b668378632 . _:b665121947 . _:b674016646 . _:b674016952 . _:b678849607 . _:b668378633 . _:b665121946 . _:b674016701 . _:b668378588 . _:b668378580 . _:b678849600 . _:b668378634 . _:b668378589 . _:b675160554 . _:b674016696 . _:b665970828 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b668378635 . _:b674016641 . _:b674016703 . _:b674016697 . _:b668378628 . _:b674016642 . _:b668378591 . _:b662809973 . _:b668378629 . _:b668378584 . _:b662809982 . _:b665857546 . _:b668378630 . _:b674016698 . _:b665857547 . _:b668378631 . _:b674016699 . _:b678849614 . _:b665857544 . _:b668378624 . _:b674016643 . _:b665857587 . _:b668378625 . _:b668378626 . _:b668378581 . _:b675160546 . _:b678849609 . _:b662809955 . _:b668378627 . _:b668378590 . _:b675160547 . _:b662809956 . _:b674016647 . _:b675160548 . _:b678849611 . _:b665857557 . _:b675161056 . _:b674348708 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b674016653 . _:b662809966 . _:b665857201 . _:b662809959 . _:b674016655 . _:b675161057 . _:b674348582 . _:b662809960 . _:b668378563 . _:b675161052 . _:b668378564 . _:b675161055 . _:b674016654 . _:b675161054 . _:b668378574 . _:b675161053 . _:b675161049 . _:b675160940 . _:b675161050 . _:b668378567 . _:b674348589 . _:b662809965 . _:b674016656 . _:b675161048 . _:b675160541 . _:b668378568 . _:b665795764 . _:b662809967 . _:b665122332 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b675161045 . _:b665794046 . _:b675160589 . _:b675161046 . _:b666092727 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b674016657 . _:b675160504 . _:b675161047 . _:b675160591 . _:b668378573 . _:b675161041 . _:b668378575 . _:b675161040 . _:b675161043 . _:b674348735 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b674016661 . _:b675161042 . _:b674016659 . _:b674016676 . _:b674016670 . _:b675161039 . _:b674348568 . _:b674016677 . _:b675160524 . _:b675161036 . _:b674016671 . _:b675161038 . _:b665857180 . _:b678849567 . _:b662809948 . _:b675161033 . _:b668378724 . _:b675160501 . _:b663277692 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b662809949 . _:b668378725 . _:b675160523 . _:b675161035 . _:b674016733 . _:b675161032 . _:b674348575 . _:b665857176 . _:b675161034 . _:b675160602 . _:b668378720 . _:b675160518 . _:b674016735 . _:b668378721 . _:b675160519 . _:b674016734 . _:b675161031 . _:b668378722 . _:b674348348 . _:b668378723 . _:b675160515 . _:b668378716 . _:b665795608 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674348346 . _:b675160516 . _:b674016721 . _:b674016747 . _:b668378717 . _:b665795568 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674348347 . _:b674016720 . _:b668378718 . _:b678849576 . _:b675160595 . _:b674016746 . _:b674016722 . _:b675160764 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b668378719 . _:b674016749 . _:b674016745 . _:b674016744 . _:b668378712 . _:b674016748 . _:b668378713 . _:b675160596 . _:b668378714 . _:b668378715 . _:b668378708 . _:b674016712 . _:b668378709 . _:b678849569 . _:b668716371 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665121930 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668378710 . _:b678849568 . _:b674016755 . _:b668378711 . _:b678849571 . _:b665857134 . _:b668378704 . _:b678849570 . _:b668378705 . _:b678849573 . _:b665459316 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b674016756 . _:b668378706 . _:b678849572 . _:b674016715 . _:b668378707 . _:b678849575 . _:b674016717 . _:b674016718 . _:b674016714 . _:b674016713 . _:b668378700 . _:b678849574 . _:b674016716 . _:b674016719 . _:b674348393 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b668379069 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b674348538 . _:b668378701 . _:b675160540 . _:b665971258 . _:b668378702 . _:b675160543 . . _:b668378737 . _:b668378703 . _:b674016757 . _:b675160542 . _:b668378696 . _:b662809899 . _:b674016710 . _:b668378697 . _:b665793828 . _:b668378698 . _:b678849852 . _:b674016705 . _:b668378699 . _:b665971263 . _:b674016709 . _:b674016711 . _:b668378692 . _:b674016752 . _:b668378693 . _:b665793824 . _:b668378694 . _:b675160535 . _:b674016708 . _:b668378695 . _:b675160634 . _:b675160534 . _:b678849587 . _:b668378688 . _:b675160833 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b662810305 . _:b668378751 . _:b668378689 . _:b674016706 . _:b674016707 . _:b668378690 . _:b678849588 . _:b665459331 . _:b668378691 . _:b665857188 . _:b666093380 "2024-10-06T20:00:48.173204"^^ . _:b665459330 . _:b674016704 . _:b665459333 . _:b663276330 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b674016754 . _:b665459332 . _:b678849608 . _:b668379010 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665857070 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665795780 . _:b678849527 . _:b668378849 . _:b662810042 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b674016753 . _:b665971240 . _:b665176834 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b665971241 . _:b668379005 . _:b668379004 . _:b665971232 . _:b668379003 . _:b674016725 . _:b665971233 . _:b665971236 . _:b668379002 . _:b668378730 . _:b674016724 . _:b668379001 . _:b674016726 . _:b674016727 . _:b665971235 . _:b662810010 . _:b674016751 . _:b674016723 . _:b675160379 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b674016750 . _:b678849607 . _:b668716539 . _:b674016738 . _:b674016739 . _:b674016729 . _:b674016740 . _:b674016737 . _:b674016731 . _:b662810000 . _:b674016728 . _:b668716540 . _:b665793799 . _:b674016736 . _:b674016742 . _:b674348610 . _:b674016732 . _:b674016743 . _:b674348611 . _:b674016730 . _:b674016741 . _:b674348608 . _:b665857157 . _:b674348609 . _:b665857149 "1"^^ . _:b678849616 . _:b674348614 . _:b665857148 "1"^^ . _:b678849617 . _:b674348615 . _:b668716533 . _:b674348612 . _:b678849618 . _:b668716535 . _:b678849619 . _:b674348613 . _:b678849620 . _:b662809986 . _:b674348618 . _:b678849621 . _:b662809995 . _:b665857136 "1"^^ . _:b674348619 . _:b662809988 . _:b674348616 . _:b665971215 . _:b665857142 "1"^^ . _:b674348617 . _:b674348622 . _:b674348623 . _:b665971225 . "Gwen Frishkoff"@en . _:b668379230 . _:b674348620 . _:b675160545 . _:b678849640 . _:b674348621 . _:b675160544 . _:b662809994 . _:b674348626 . _:b662809987 . _:b674348627 . _:b665793810 . _:b674348624 . _:b675160549 . _:b674348625 . _:b674348630 . _:b665971223 . _:b662809991 . _:b674348631 . _:b674348628 . _:b674348629 . _:b675160551 . _:b678849639 . _:b674348634 . _:b678849793 . _:b674348635 . _:b665459107 . _:b674348632 . _:b665122304 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b674348633 . _:b674348638 . _:b675160688 . _:b665793660 . _:b674348639 . _:b674348636 . _:b675160685 . _:b663276518 . _:b674348637 . _:b674348339 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b675160687 . _:b674348642 . _:b675160684 . _:b674348643 . _:b665971327 . _:b675160686 . _:b674348640 . _:b662810066 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665459114 . _:b665795259 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b674348641 . _:b675160680 . _:b674348646 . _:b675160683 . _:b665971315 . _:b674348647 . _:b675160681 . _:b674348644 . _:b665794093 . _:b665971316 . _:b674348645 . _:b675160676 . _:b665971317 . _:b665857259 . _:b674348650 . _:b675160679 . _:b674348651 . _:b675160678 . _:b675160677 . _:b674348648 . _:b675160673 . _:b675160674 . _:b674348649 . _:b675160672 . _:b675160914 . _:b674348654 . _:b674348655 . _:b674348652 . _:b675160669 . _:b662809979 . _:b675160670 . _:b665857274 . _:b674348653 . _:b674348658 . _:b675160671 . _:b674348659 . _:b662810298 . _:b674348656 . _:b675160665 . _:b674348657 . _:b675160664 . _:b675160667 . _:b668716406 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b674348662 . _:b665857252 . _:b674348663 . _:b675160666 . _:b665970771 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b674348660 . _:b662809971 . _:b668379263 . _:b674348661 . _:b675160663 . _:b665857088 "1"^^ . _:b674348666 . _:b662810291 . _:b675160662 . _:b674348667 . _:b665122575 . _:b666093179 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665857273 . _:b674348664 . _:b666092928 . _:b674348665 . _:b663276501 . _:b674348670 . _:b674348671 . _:b674348668 . _:b668378839 . _:b674348669 . _:b674348546 . _:b662809997 . _:b666092815 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b663276388 . _:b674348547 . . _:b674348544 . _:b665794057 . _:b665857266 . _:b665857087 "1"^^ . _:b674348545 . _:b662810284 . _:b674348550 . _:b674348551 . _:b668716797 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665971284 . _:b674348548 . _:b675160733 . _:b674348549 . _:b675160884 . _:b674348554 . _:b674016215 . _:b674348555 . _:b674348552 . _:b678849529 . _:b674348553 . _:b668378818 . _:b674348558 . _:b674348559 . _:b674348556 . _:b665795131 . _:b668716370 . _:b668716371 . _:b674348557 . _:b674016217 . _:b665971277 . _:b668716368 . _:b668716369 . _:b665793437 . _:b668716374 . _:b668716375 . _:b674348562 . _:b668716372 . _:b668716373 . _:b668716378 . _:b668716379 . _:b674348563 . _:b668716376 . _:b668716377 . _:b668716382 . _:b668716383 . _:b674348560 . _:b668716380 . _:b665971264 . _:b668716381 . _:b668716354 . _:b665793659 . _:b668716355 . _:b674348561 . _:b674016221 . _:b668716352 . _:b665971265 . _:b668716353 . _:b668716358 . _:b665793589 . _:b668716359 . _:b674348566 . _:b668716356 . _:b668716357 . _:b668716362 . _:b668716363 . _:b674348567 . _:b668716360 . _:b668716361 . _:b668716366 . _:b668716367 . _:b674348564 . _:b668716364 . _:b668716365 . _:b668716402 . _:b668716403 . _:b674348565 . _:b668716400 . _:b668716401 . _:b668716406 . _:b668716407 . _:b674348570 . _:b668716404 . _:b668716405 . _:b668716410 . _:b668716411 . _:b674348571 . _:b665971271 . _:b662810199 . _:b668716408 . _:b668716409 . _:b668716414 . _:b668716415 . _:b674348568 . _:b668716412 . _:b668716413 . _:b668716386 . _:b665793651 . _:b668716387 . _:b674348569 . _:b668716384 . _:b668716385 . _:b668716390 . _:b668716391 . _:b674348574 . _:b668716388 . _:b668716389 . _:b668716394 . _:b668716395 . _:b674348575 . _:b668378641 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b668716392 . _:b665857439 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b668716393 . _:b668716398 . _:b668716399 . _:b674348572 . _:b668716396 . _:b668716397 . _:b668716306 . _:b668716307 . _:b674348573 . _:b668716304 . _:b668716305 . _:b668716310 . _:b668716311 . _:b674348578 . _:b668378870 . _:b668716308 . _:b668716309 . _:b668716314 . _:b668716315 . _:b674348579 . _:b668716312 . _:b668716313 . _:b668716318 . _:b668716319 . _:b674348576 . _:b668716316 . _:b665794069 . _:b665971365 . _:b668716317 . _:b668716290 . _:b668716291 . _:b675160912 . _:b674348577 . _:b668378875 . _:b662810205 . _:b668716288 . _:b668716289 . _:b668716294 . _:b674016638 . _:b665971153 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b668716295 . _:b674348582 . _:b668716292 . _:b674016346 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b668716293 . _:b668716298 . _:b668716299 . _:b674348583 . _:b674016639 . _:b668716296 . _:b668716297 . _:b668716302 . _:b674348331 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b668716303 . _:b674348580 . "Melanie Courtot"@en . _:b668716300 . _:b662810178 . _:b668716301 . _:b678849509 . _:b662809641 . _:b668716338 . _:b668716339 . _:b674348581 . _:b674016241 . _:b668378879 . _:b668716336 . _:b665971367 . _:b668716337 . _:b678849510 . _:b668716342 . _:b668716343 . _:b674348586 . _:b668716340 . _:b668716341 . _:b668716346 . _:b668716347 . _:b674348587 . _:b668716344 . _:b668716345 . _:b668716350 . _:b668716351 . _:b674348584 . _:b663277730 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b668716348 . _:b668378940 . _:b668716349 . _:b668716322 . _:b668716323 . _:b674348585 . _:b674016245 . _:b668716320 . _:b668378941 . _:b668716321 . _:b668716326 . _:b668716327 . _:b674348590 . _:b668378700 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b668716324 . _:b668716325 . _:b668716330 . _:b668716331 . _:b674348591 . _:b668716328 . _:b668716329 . _:b668716334 . _:b668716335 . _:b674348588 . _:b668716332 . _:b668716333 . _:b665795345 . _:b668716498 . _:b668716499 . _:b674348589 . _:b674016249 . _:b665793567 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b668716496 . _:b668716497 . _:b668716502 . _:b668716503 . _:b674348594 . _:b665971206 . _:b662810184 . _:b668716500 . _:b668716501 . _:b668716506 . _:b668716507 . _:b674348595 . _:b674016255 . _:b662810191 . _:b668716504 . _:b668716505 . _:b668716510 . _:b668716511 . _:b674348592 . _:b668716508 . _:b668716509 . _:b678849487 . _:b668716482 . _:b678849475 . _:b668716483 . _:b674348593 . _:b668716480 . _:b668716481 . _:b668716486 . _:b678849474 . _:b668716487 . _:b678850093 . _:b674348598 . _:b668716484 . _:b668716485 . _:b668716490 . _:b668716491 . _:b674348599 . _:b668716488 . _:b665971363 . _:b668716489 . _:b668716494 . _:b668716495 . _:b674348596 . _:b668716492 . _:b668716493 . _:b668716530 . _:b662809617 . _:b674348597 . _:b668716531 . _:b668716528 . _:b668716529 . _:b662809626 . _:b668716534 . _:b668716535 . _:b674348602 . _:b665459312 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b668716532 . _:b668716533 . _:b668716538 . _:b662809619 . _:b674348603 . _:b668716539 . _:b662810231 . _:b668716536 . _:b668716537 . _:b668716542 . _:b668716543 . _:b674348600 . _:b665793722 . _:b668716540 . _:b665857246 _:b665857247 . _:b668716541 . _:b668716514 . _:b668716515 . _:b674348601 . _:b668716512 . _:b668716513 . _:b668716518 . _:b668716519 . _:b678850085 . _:b674348606 . _:b674016228 . _:b668716516 . _:b665857246 _:b665857251 . _:b668716517 . _:b662809631 . _:b668716522 . _:b668716523 . _:b674348607 . _:b668378769 . _:b668716520 . _:b668716521 . _:b668716526 . _:b665459049 . _:b674348604 . _:b668716527 . _:b668716524 . _:b668716525 . _:b678850040 . _:b678849491 . _:b668716434 . _:b662809625 . _:b674348605 . _:b668716435 . _:b668716432 . _:b668716433 . _:b662809618 . _:b668716438 . _:b668716439 . _:b674348738 . _:b674016232 . _:b665857326 . _:b668716436 . _:b665794081 . _:b668716437 . _:b668716442 . _:b668716443 . _:b674348739 . _:b674016239 . _:b668716440 . _:b668716441 . _:b668716446 . _:b668716447 . _:b674348736 . _:b668716444 . _:b668716445 . _:b668716418 . _:b665122299 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668716419 . _:b674348737 . _:b665857253 _:b665857258 . _:b665971345 . _:b668716416 . _:b668716417 . _:b662809622 . _:b668716422 . _:b668716423 . _:b674348742 . _:b665857322 . _:b665795545 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665971346 . _:b668716420 . _:b668716421 . _:b668716426 . _:b668716427 . _:b674348743 . _:b665857253 _:b665857254 . _:b665971347 . _:b668716424 . _:b668716425 . _:b662809608 . _:b668716430 . _:b668716431 . _:b674348740 . _:b674348491 . _:b662810210 . _:b665971348 . _:b668716428 . _:b668716429 . _:b668716466 . _:b666092745 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b674348741 . _:b665793679 . _:b668716467 . _:b668716464 . _:b665971349 . _:b668716465 . _:b678850019 . _:b668716470 . _:b668716471 . _:b674348746 . _:b668716468 . _:b674348624 . _:b665971350 . _:b668716469 . _:b662809611 . _:b668716474 . _:b662809603 . _:b674348747 . _:b665793677 . _:b668716475 . _:b668716472 . _:b668716473 . _:b662809612 . _:b668716478 . _:b668716479 . _:b674348744 . _:b668716476 . _:b665971336 . _:b668716477 . _:b668716450 . _:b668716451 . _:b674348745 . _:b668716448 . _:b668716449 . _:b662809614 . _:b668716454 . _:b665857260 _:b665857261 . _:b674348750 . _:b668716455 . _:b668716452 . _:b665971338 . _:b668716453 . _:b668716458 . _:b662809607 . _:b674348751 . _:b668716459 . _:b668716456 . _:b665971339 . _:b668716457 . _:b668716462 . _:b668379284 . _:b668716463 . _:b674348748 . _:b668716460 . _:b665971340 . _:b668716461 . _:b666092710 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b668378759 . _:b674348749 . _:b665971341 . _:b665971197 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b674348754 . _:b665971342 . _:b674348755 . _:b665971343 . _:b662809604 . _:b665857260 _:b665857265 . _:b674348752 . _:b668378756 . _:b665857448 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665971328 . _:b665857267 _:b665857268 . _:b662809613 . _:b674348753 . _:b665971329 . _:b665971335 . _:b665793680 . _:b674348758 . _:b665971330 . _:b665857267 _:b665857272 . _:b674348759 . _:b665971331 . _:b674348756 . _:b665971332 . _:b674348757 . _:b662810129 . _:b665971333 . _:b665971207 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b674348762 . _:b665971334 . _:b674348763 . _:b665971335 . _:b665794054 . _:b674348760 . _:b665793690 . _:b674348761 . _:b665971267 . _:b674348766 . _:b665459548 . _:b674348767 . _:b674348764 . _:b668378807 . _:b674348765 . _:b668379270 . _:b674348770 . _:b674348771 . _:b662810143 . _:b665971286 . _:b674348768 . _:b665795650 . _:b665970920 "1"^^ . _:b674348769 . _:b665795649 . _:b674348774 . . _:b668379277 . _:b674348775 . _:b674348772 . _:b668378711 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b674348773 . _:b674348778 . _:b668378813 . _:b674348779 . _:b674348776 . _:b668379004 . _:b674016784 . _:b665970912 "1"^^ . _:b674348777 . _:b668379005 . _:b665970919 "1"^^ . _:b668378786 . _:b674348782 . _:b668379006 . _:b674348311 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665970918 "1"^^ . _:b674348783 . _:b668379007 . _:b674348780 . _:b662810122 . _:b668379000 . _:b665857297 . _:b674348781 . _:b668379001 . _:b674016789 . _:b674348786 . _:b668379002 . _:b665971284 . _:b674348787 . _:b668379003 . _:b665970905 "1"^^ . _:b665857308 . _:b674348784 . _:b665971273 . _:b668378996 . _:b674348785 . _:b668378997 . _:b665970911 "1"^^ . _:b674348790 . _:b665794051 . _:b668378998 . _:b674348791 . _:b668378999 . _:b668378792 . _:b674348788 . _:b668378992 . _:b668716274 . _:b668716275 . _:b674348789 . _:b668378799 . _:b662810161 . _:b668378993 . _:b668716272 . _:b665795152 . _:b668716273 . _:b665970899 "1"^^ . _:b668716278 . _:b665794050 . _:b674348794 . _:b668716279 . _:b668716276 . _:b668378994 . _:b665971279 . _:b668716277 . _:b668716282 . _:b665459139 . _:b674348795 . _:b668716283 . _:b668716280 . _:b668378995 . _:b668716281 . _:b665795691 . _:b668716286 . _:b668716287 . _:b674348792 . _:b668716284 . _:b668378988 . _:b665795198 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668716285 . _:b665794053 . _:b674348793 . _:b668378989 . _:b674348798 . _:b665794059 . _:b668378990 . _:b668716266 . _:b668716267 . _:b674348799 . _:b668378991 . _:b668716265 . _:b668716270 . _:b668716271 . _:b674348796 . _:b668716268 . _:b668378984 . _:b668716269 . _:b665794057 . _:b674348797 . _:b668378985 . _:b665794028 . _:b668378932 . _:b674348674 . _:b668378986 . _:b665459027 . _:b668378933 . _:b674348675 . _:b665793667 . _:b665794060 . _:b674348672 . _:b665793730 . _:b668378980 . _:b668378943 . _:b674348673 . _:b668378981 . _:b668378936 . _:b674348678 . _:b668378982 . _:b668378937 . _:b674348679 . _:b668378983 . _:b665795153 . _:b674348676 . _:b668378976 . _:b665459342 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b674348677 . _:b665794020 . _:b674348682 . _:b668378978 . _:b665793672 . _:b674348683 . _:b662810151 . _:b668378979 . _:b668378942 . _:b674348680 . _:b674348681 . _:b674348686 . _:b662810148 . _:b674348687 . _:b668378975 . _:b674348684 . _:b668716882 . _:b668716883 . _:b674348685 . _:b668716880 . _:b668716881 . _:b668716886 . _:b668716887 . _:b674348690 . _:b668716884 . _:b668716885 . _:b668716890 . _:b668716891 . _:b674348691 . _:b668716888 . _:b668716889 . _:b668716894 . _:b668716895 . _:b674348688 . _:b668716892 . _:b668716893 . _:b668716866 . _:b665970784 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b668716867 . _:b674348689 . _:b668716864 . _:b674348956 . _:b668716865 . _:b668716870 . _:b668716871 . _:b674348694 . _:b665857074 "requested by Melanie Courtot" . _:b668716868 . _:b668716869 . _:b668716874 . _:b668716875 . _:b674348695 . _:b668716872 . _:b665794097 . _:b668716873 . _:b668716878 . _:b662809776 . _:b674348692 . _:b668716879 . _:b668716876 . _:b668716877 . _:b668716914 . _:b674348399 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668716915 . _:b674348693 . _:b668716912 . _:b668716913 . _:b668716918 . _:b666093137 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b674348698 . _:b668716919 . _:b668716916 . _:b668716917 . _:b668716922 . _:b668378925 . _:b668716923 . _:b674348699 . _:b668716920 . _:b668716921 . _:b662809788 . _:b668378926 . _:b668716926 . _:b668716927 . _:b674348696 . _:b668716924 . _:b674348949 . _:b668716925 . _:b662809789 . _:b668716898 . _:b662809781 . _:b674348697 . _:b668716899 . _:b668716896 . _:b663277863 . _:b668716897 . _:b668716902 . _:b668716903 . _:b674348702 . _:b668716900 . _:b665794091 . _:b663277860 . _:b668716901 . _:b662809791 . _:b668716906 . _:b668716907 . _:b674348703 . _:b668716904 . _:b665794090 . _:b668716905 . _:b668716910 . _:b668716911 . _:b674348700 . _:b668716908 . _:b668716909 . _:b662809777 . _:b668716818 . _:b668716819 . _:b674348701 . _:b668716816 . _:b668716817 . _:b662809778 . _:b668716822 . _:b668716823 . _:b674348706 . _:b668716820 . _:b668379207 . _:b668716821 . _:b665971092 . _:b668716826 . _:b668716827 . _:b674348707 . _:b668716824 . _:b668716825 . _:b668716830 . _:b668716831 . _:b674348704 . _:b668716828 . _:b663277870 . _:b668716829 . _:b668716802 . _:b665176651 _:b665176656 . _:b674348705 . _:b668716803 . _:b668716800 . _:b665795500 . _:b668716801 . _:b668716806 . _:b662809790 . _:b674348710 . _:b668716807 . _:b668716804 . _:b665970994 . _:b668716805 . _:b668716810 . _:b668716811 . _:b674348711 . _:b668716808 . _:b674348942 . _:b668716809 . _:b668716814 . _:b668716815 . _:b674348708 . _:b668716812 . _:b668716813 . _:b662809769 . _:b668716850 . _:b668716851 . _:b674348709 . _:b668716848 . _:b668716849 . _:b665970850 "1"^^ . _:b678849701 . _:b668716854 . _:b662809770 . _:b668716855 . _:b674348714 . _:b668716852 . _:b668716853 . _:b665970851 "1"^^ . _:b668716858 . _:b665176651 _:b665176652 . _:b674348715 . _:b668716859 . _:b668716856 . _:b668716857 . _:b666092816 . _:b662809772 . _:b668716862 . _:b668716863 . _:b674348712 . _:b662810310 . _:b668379068 . _:b668716860 . _:b668716861 . _:b665793946 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665857149 . _:b668716834 . _:b662809773 . _:b668716835 . _:b674348713 . _:b665970773 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b668379069 . _:b668716832 . _:b668716833 . _:b668716838 . _:b668378887 . _:b668716839 . _:b674348718 . _:b665795371 . _:b674348935 . _:b668379070 . _:b668716836 . _:b665176644 _:b665176649 . _:b662810308 . _:b668716837 . _:b668716842 . _:b668716843 . _:b674348719 . _:b668716758 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b668716840 . _:b668379071 . _:b668716841 . _:b668378851 . _:b668716846 . _:b668716847 . _:b674348716 . _:b665793936 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665176644 _:b665176645 . _:b668379064 . _:b668716844 . _:b668716845 . _:b663276466 . _:b674348717 . _:b668379065 . _:b674348722 . _:b668379066 . _:b662809771 . _:b674348723 . _:b668379067 . _:b665970996 . _:b663276471 . _:b674348720 . _:b665970976 . _:b668379060 . _:b668716994 . _:b665176937 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b668716995 . _:b674348721 . _:b668716992 . _:b668379061 . _:b665970977 . _:b668716993 . _:b668716998 . _:b668716999 . _:b674348726 . _:b668716996 . _:b668379062 . _:b665970978 . _:b668716997 . _:b668717002 . _:b674348727 . _:b668717000 . _:b668379063 . _:b665970979 . _:b665970964 . _:b666092804 . _:b668717001 . _:b662809752 . _:b665857155 "1"^^ . _:b674348724 . _:b666093182 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b668379056 . _:b665970998 . _:b665970980 . _:b668378858 . _:b674348725 . _:b665795817 . _:b668379057 . _:b665970981 . _:b665795474 . _:b674348730 . _:b668379058 . _:b678849650 . _:b662809755 . _:b674348731 . _:b668379059 . _:b662809756 . _:b665857188 . _:b674348728 . _:b668379052 . _:b665795821 . _:b666092801 . _:b662809757 . _:b674348729 . _:b665795821 . _:b668379053 . _:b665970969 . _:b666092771 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b662809758 . _:b665176658 _:b665176663 . _:b665176658 _:b665176659 . _:b665857157 "1"^^ . _:b674348734 . _:b665970970 . _:b668379054 . _:b662809751 . _:b674348735 . _:b665857156 "1"^^ . _:b665795819 . _:b665970971 . _:b668379055 . _:b666092812 . _:b674348732 . _:b665970972 . _:b668379048 . _:b665795817 . _:b666092811 . _:b668716946 . _:b668716947 . _:b674348733 . _:b668716944 . _:b668379049 . _:b665970973 . _:b668716945 . _:b666092814 . _:b668716950 . _:b668716951 . _:b674348866 . _:b668716948 . _:b668379050 . _:b665970974 . _:b668716949 . _:b668716954 . _:b668716955 . _:b674348867 . _:b668716952 . _:b668379051 . _:b668716953 . _:b668716958 . _:b668716959 . _:b674348864 . _:b668716956 . _:b668379044 . _:b665970960 . _:b668716957 . _:b666092809 . _:b662809749 . _:b668716930 . _:b668716931 . _:b674348865 . _:b668716928 . _:b668379045 . _:b665970961 . _:b668716929 . _:b662809750 . _:b668716934 . _:b668716935 . _:b674348870 . _:b668716932 . _:b668379046 . _:b665970962 . _:b668716933 . _:b675160955 . _:b668716938 . _:b662809759 . _:b674348871 . _:b668716939 . _:b668716936 . _:b668379047 . _:b665970963 . _:b668716937 . _:b668716942 . _:b668716943 . _:b674348868 . _:b663276459 . _:b668716940 . _:b668379040 . _:b665970964 . _:b668716941 . _:b668716978 . _:b668716979 . _:b674348869 . _:b668716976 . _:b668379041 . _:b665970965 . _:b665795838 . _:b668716977 . _:b668716982 . _:b668716983 . _:b674348874 . _:b668716980 . _:b668379042 . _:b665970966 . _:b668716981 . _:b668716986 . _:b668716987 . _:b674348875 . _:b665795835 . _:b668379043 . _:b665970967 . _:b668716984 . _:b668716985 . _:b668716990 . _:b668716991 . _:b674348872 . _:b668716988 . _:b668379036 . _:b668716989 . _:b668716962 . _:b668716963 . _:b674348873 . _:b668716960 . _:b668379037 . _:b668716961 . _:b668716966 . _:b668716967 . _:b674348878 . _:b668716964 . _:b668379038 . _:b665795835 . _:b668716965 . _:b668716970 . _:b668716971 . _:b674348879 . _:b668716968 . _:b668379039 . _:b668716969 . _:b668716974 . _:b668716975 . _:b674348876 . _:b665795838 . _:b668379032 . _:b668716972 . _:b668716973 . _:b668378987 . _:b668716626 . _:b665795833 . _:b674348877 . _:b668716627 . _:b668716624 . _:b668379033 . _:b665176637 _:b665176638 . _:b668716625 . _:b668716630 . _:b668716631 . _:b674348882 . _:b665795824 . _:b668379034 . _:b665970958 . _:b668716628 . _:b665795831 . _:b668716629 . _:b668716634 . _:b668716635 . _:b674348883 . _:b668716632 . _:b668379035 . _:b665970959 . _:b665795828 . _:b668716633 . _:b668716638 . _:b668716639 . _:b674348880 . _:b668716636 . _:b668379028 . _:b668716637 . _:b668716610 . _:b668716611 . _:b674348881 . _:b668716608 . _:b668379029 . _:b668716609 . _:b668716614 . _:b665795826 . _:b674348886 . _:b665970946 . _:b668716615 . _:b665795828 . _:b668379030 . _:b668716612 . _:b668716613 . _:b668378977 . _:b665795792 . _:b668716618 . _:b668716619 . _:b674348887 . _:b665795831 . _:b668379031 . _:b665970947 . _:b668716616 . _:b665176637 _:b665176642 . _:b668716617 . _:b665795824 . _:b662809848 . _:b668716622 . _:b668716623 . _:b674348884 . _:b668716620 . _:b668379024 . _:b665970948 . _:b668716621 . _:b662809849 . _:b668716658 . _:b668716659 . _:b674348885 . _:b668716656 . _:b668379025 . _:b668716657 . _:b662809850 . _:b674348537 . _:b668716662 . _:b668716663 . _:b674348890 . _:b668716660 . _:b668379026 . _:b668716661 . _:b662809851 . _:b668716666 . _:b668716667 . _:b674348891 . _:b668716664 . _:b668379027 . _:b668716665 . _:b662809852 . _:b668716670 . _:b668716671 . _:b674348888 . _:b662810262 . _:b668379020 . _:b668716668 . _:b665857441 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b668716669 . _:b662809853 . _:b668379151 . _:b668716642 . _:b668716643 . _:b674348889 . _:b668716640 . _:b668379021 . _:b668716641 . _:b668716387 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b668378968 . _:b662809854 . _:b668716646 . _:b668716647 . _:b674348894 . _:b668716644 . _:b668379022 . _:b668716645 . _:b662809855 . _:b668716650 . _:b668716651 . _:b674348895 . _:b662810267 . _:b668379023 . _:b668716648 . _:b668716649 . _:b662809840 . _:b668716654 . _:b668716655 . _:b674348892 . _:b668716652 . _:b668379016 . _:b668716653 . _:b668716562 . _:b668378963 . _:b668716563 . _:b674348893 . _:b668716560 . _:b668379017 . _:b668716561 . _:b668378972 . _:b668716566 . _:b668716567 . _:b674348898 . _:b668716564 . _:b668379018 . _:b668716565 . _:b675161004 . _:b662809843 . _:b668378965 . _:b668716570 . _:b668716571 . _:b674348899 . _:b662810271 . _:b668379019 . _:b668716568 . _:b668716569 . _:b668378775 . _:b662809844 . _:b668716574 . _:b668716575 . _:b674348896 . _:b668716572 . _:b668379012 . _:b668716573 . _:b665971040 . _:b662809845 . _:b668716546 . _:b668716547 . _:b674348897 . _:b668716544 . _:b668379013 . _:b668716545 . _:b668378960 . _:b662809846 . _:b668716550 . _:b668716551 . _:b674348902 . _:b668716548 . _:b668379014 . _:b662809681 . _:b665971052 . _:b668716549 . _:b662809847 . _:b668716554 . _:b668716555 . _:b674348903 . _:b668716552 . _:b668379015 . _:b668716553 . _:b668379080 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b668716558 . _:b668716559 . _:b674348900 . _:b668716556 . _:b668379008 . _:b662809683 . _:b668716557 . _:b668716594 . _:b668378971 . _:b668716595 . _:b674348901 . _:b668716592 . _:b668379009 . _:b662809682 . _:b668716593 . _:b668378964 . _:b662809834 . _:b668716598 . _:b668716599 . _:b674348906 . _:b668716596 . _:b668379010 . _:b668716597 . _:b675161012 . _:b662809835 . _:b668716602 . _:b668716603 . _:b674348907 . _:b665857175 . _:b668716600 . _:b668379011 . _:b662809684 . _:b665795567 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668716601 . _:b668716606 . _:b668716607 . _:b674348904 . _:b668716604 . _:b668716605 . _:b668716578 . _:b662809829 . _:b674348905 . _:b668716579 . _:b668716576 . _:b668716577 . _:b668716582 . _:b668378944 . _:b668716583 . _:b674348910 . _:b668716580 . _:b668716581 . _:b662809839 . _:b668716586 . _:b668716587 . _:b674348911 . _:b668716584 . _:b668716585 . _:b668378954 . _:b662809824 . _:b668716590 . _:b668716591 . _:b674348908 . _:b668716588 . _:b668716589 . _:b662809825 . _:b668379212 . _:b668716754 . _:b662809833 . _:b674348909 . _:b668716755 . _:b668716752 . _:b668716753 . _:b666093148 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b668716758 . _:b662809826 . _:b668716759 . _:b674348914 . _:b668716756 . _:b665971056 . _:b668716757 . _:b668378957 . _:b662809827 . _:b668378949 . _:b668716762 . _:b668716763 . _:b674348915 . _:b668716760 . _:b668716761 . _:b668378958 . _:b662809828 . _:b668716766 . _:b668716767 . _:b674348912 . _:b668716764 . _:b668716765 . _:b668716738 . _:b668716739 . _:b674348913 . _:b668716736 . _:b668716737 . _:b668716742 . _:b662809838 . _:b674348918 . _:b665857178 . _:b668716743 . _:b668716740 . _:b668716741 . _:b668716746 . _:b668378953 . _:b668716747 . _:b674348919 . _:b668716744 . _:b668716745 . _:b668716750 . _:b668716751 . _:b674348916 . _:b668716748 . _:b668716749 . _:b662809817 . _:b668716786 . _:b668716787 . _:b674348917 . _:b665857177 . _:b662810289 . _:b668716784 . _:b668716785 . _:b662809818 . _:b668716790 . _:b668716791 . _:b674348922 . _:b668716788 . _:b665857557 . _:b665795522 . _:b668716789 . _:b662809819 . _:b668716794 . _:b668716795 . _:b674348923 . _:b668716792 . _:b668716793 . _:b668378950 . _:b668716798 . _:b668716799 . _:b674348920 . _:b662810294 . _:b668716796 . _:b668716797 . _:b675160962 . _:b663276510 . _:b662809821 . _:b668378959 . _:b668716770 . _:b662809813 . _:b674348921 . _:b668716771 . _:b668716768 . _:b668716769 . _:b668716774 . _:b668378578 . _:b674348926 . _:b668716775 . _:b668716772 . _:b668716773 . _:b668716778 . _:b668716779 . _:b674348927 . _:b668716776 . _:b668716777 . _:b675160961 . _:b662809808 . _:b668716782 . _:b668378576 . _:b674348924 . _:b668716783 . _:b668716780 . _:b668716781 . _:b668716690 . _:b674348657 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b668716691 . _:b674348925 . _:b668716688 . _:b668716689 . _:b663277688 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b668716694 . _:b668378582 . _:b674348802 . _:b668716695 . _:b662810296 . _:b668716692 . _:b668716693 . _:b675160972 . _:b662809811 . _:b668716698 . _:b668716699 . _:b674348803 . _:b662810303 . _:b668716696 . _:b668716697 . _:b662809812 . _:b668716702 . _:b663277661 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b674348800 . _:b668716703 . _:b662809820 . _:b668716700 . _:b663276287 . _:b668716701 . _:b668716674 . _:b668716675 . _:b674348801 . _:b662810301 . _:b668716672 . _:b668716673 . _:b662809814 . _:b675160329 . _:b668716678 . _:b668378586 . _:b674348806 . _:b668716679 . _:b668716676 . _:b668716677 . _:b668716682 . _:b668716683 . _:b674348807 . _:b668716680 . _:b668716681 . _:b662809800 . _:b668716686 . _:b668716687 . _:b674348804 . _:b668716684 . _:b668716685 . _:b666092810 . _:b662809801 . _:b668716722 . _:b668716723 . _:b674348805 . _:b668716720 . _:b668716721 . _:b666092809 . _:b662809802 . _:b668716726 . _:b668716727 . _:b674348810 . _:b668716724 . _:b665795521 . _:b668716725 . _:b662809803 . _:b668716730 . _:b668716731 . _:b674348811 . _:b668716728 . _:b668716729 . _:b662809804 . _:b668716734 . _:b668716735 . _:b674348808 . _:b668716732 . _:b668716733 . _:b662809805 . _:b668716706 . _:b668716707 . _:b674348809 . _:b668716704 . _:b668716705 . _:b662809806 . _:b668716710 . _:b668716711 . _:b674348814 . _:b668716708 . _:b668716709 . _:b668716714 . _:b668716715 . _:b674348815 . _:b668716712 . _:b668716713 . _:b665970770 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b668716718 . _:b668716719 . _:b674348812 . _:b668716716 . _:b668716717 . _:b675160331 . _:b674348813 . _:b663276488 . _:b665971039 . _:b674348516 . _:b662809794 . _:b674348818 . _:b662810280 . _:b665857549 . _:b662809795 . _:b668378565 . _:b674348819 . _:b662810268 . _:b662810287 . _:b662809796 . _:b674348816 . _:b668379092 . _:b674348573 . _:b662809797 . _:b674348817 . _:b668379093 . _:b662809798 . _:b674348822 . _:b665857545 . _:b668379094 . _:b662809799 . _:b668378569 . _:b674348823 . _:b662809807 . _:b662809939 . _:b663276482 . _:b674348820 . _:b668379088 . _:b674348821 . _:b668378853 . _:b668379089 . _:b678849747 . _:b665857518 . _:b674348826 . _:b665857589 . _:b668379090 . _:b674348827 . _:b665857588 . _:b668379091 . _:b665857220 . _:b674348824 . _:b663276485 . _:b668379084 . _:b675160565 . _:b674348825 . _:b662809941 . _:b668379085 . . _:b674348830 . _:b668379086 . _:b662809673 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b674348831 . _:b668379087 . _:b674348566 . _:b674348828 . _:b662809946 . _:b668379080 . _:b674348829 . _:b668379081 . _:b668379026 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b678849755 . _:b674348834 . _:b662809944 . _:b668379082 . _:b674348835 . _:b668379083 . _:b665857228 . _:b674348832 . _:b662809950 . _:b668379076 . _:b674348833 . _:b665857443 "requested by Melanie Courtot" . _:b668379077 . _:b674348838 . _:b668379078 . _:b665793441 . _:b674348839 . _:b668379079 . _:b674348836 . _:b668379072 . _:b665793455 . _:b674348837 . _:b668379073 . _:b674348842 . _:b662809920 . _:b668379074 . _:b674348843 . _:b662809927 . _:b668379075 . _:b668716904 . _:b674348840 . _:b678850111 . _:b674348841 . _:b662809925 . _:b678849743 . _:b674348846 . _:b668716909 . _:b675160549 . _:b674348847 . _:b675160550 . _:b668378592 . _:b674348844 . _:b668716908 . _:b665176886 . _:b663276291 . _:b674348845 . _:b665176887 . _:b663276290 . _:b665857526 . _:b675160552 . _:b674348850 . _:b663276289 . _:b668378597 . _:b674348851 . _:b665176885 . _:b663276288 . _:b665971104 . _:b674348848 . _:b662809934 . _:b665793459 . _:b674348849 . _:b674348854 . _:b662809932 . _:b668378854 . _:b674348855 . _:b665857595 . _:b675160558 . _:b668378600 . _:b674348852 . _:b665857218 . _:b662809970 . _:b674348853 . _:b668716902 . _:b674348858 . _:b662809968 . _:b674348859 . _:b668378604 . _:b674348856 . _:b668716389 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b662809974 . _:b674348857 . _:b665793577 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b674348862 . _:b674348863 . _:b668379122 . _:b674348860 . _:b662809978 . _:b674348861 . _:b678849787 . _:b668716769 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b663276479 . _:b674348587 . _:b678849786 . _:b674348512 . _:b668379134 . _:b668379135 . _:b668379127 . _:b668716915 . _:b663277948 . _:b665177092 . _:b668379123 . _:b668379124 . _:b665971094 . _:b666093032 . _:b666093128 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665177094 . _:b665857526 "1"^^ . _:b662809957 . _:b674348580 . _:b663277941 . _:b665857525 "1"^^ . _:b668379105 . _:b665857524 "1"^^ . _:b665793430 . _:b668379115 . _:b662809961 . _:b663277888 . _:b668379116 . _:b666093031 . _:b668379118 . _:b668379119 . _:b665857518 "1"^^ . _:b668379104 . _:b665857517 "1"^^ . _:b665971074 . _:b665794036 . _:b665971075 . _:b663277934 . _:b666092879 . _:b665794041 . _:b665177090 . _:b665857505 "1"^^ . _:b665795596 . _:b668379117 . _:b665795597 . _:b665857511 "1"^^ . _:b666093032 . _:b678850156 . _:b665795595 . _:b668379096 . _:b663277927 . _:b668379098 . _:b666093031 . _:b665795761 . _:b668379101 . _:b668379102 . _:b665795842 . _:b668379103 . _:b668716947 . _:b678850164 . _:b665795842 . _:b678849671 . _:b665121935 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b668378554 . _:b668379097 . _:b668379245 . _:b668378552 . _:b665795840 . _:b665793851 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b678850010 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665122226 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b666092892 . _:b668378558 . _:b665122227 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b675160519 . _:b665795395 . _:b662809862 . _:b668379095 . _:b665794029 . _:b666092885 . _:b674348598 . _:b665857171 . _:b662809770 . _:b674348595 . _:b678850114 . _:b662810051 . _:b662810050 . _:b662810053 . _:b678850113 . _:b666093181 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b662809911 . _:b662810052 . _:b665122302 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b678850124 . _:b675160606 . _:b665971106 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674348255 . _:b674348930 . _:b674348931 . _:b665795418 . _:b674348928 . _:b662809918 . _:b674348929 . _:b674348934 . _:b665176366 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b674348935 . _:b674348932 . _:b663277927 _:b663277932 . _:b674348933 . _:b663277927 _:b663277928 . _:b665857456 "1"^^ . _:b674348938 . _:b665857457 "1"^^ . _:b674348939 . _:b674348936 . _:b674348937 . _:b662809893 . _:b674348942 . _:b674348943 . _:b665793487 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b674348940 . _:b662809898 . _:b674348941 . _:b663277934 _:b663277935 . _:b674348946 . _:b665795765 . _:b674348947 . _:b663277934 _:b663277939 . _:b674348944 . _:b662809902 . _:b666092802 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b674348945 . _:b675160586 . _:b674348950 . _:b674348951 . _:b674016715 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b663277668 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b674348948 . _:b674348949 . _:b665857207 . _:b674348954 . _:b663277941 _:b663277946 . _:b674348955 . _:b674348952 . _:b663277941 _:b663277942 . _:b674348953 . _:b674348958 . _:b674348959 . _:b665795714 . _:b665459148 . _:b674348956 . _:b665971139 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665970837 . _:b674348957 . _:b674348962 . _:b674348963 . _:b663277948 _:b663277949 . _:b668716777 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b674348960 . _:b674348961 . _:b662810014 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b675160695 . _:b665793432 . _:b665793958 . _:b663277948 _:b663277953 . _:b668716400 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b675160959 . _:b665970735 . _:b665793453 . _:b665795176 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b668716398 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665970725 . _:b665121900 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665793796 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665793447 . _:b665793797 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665793444 . _:b668378736 . _:b668378746 . _:b675160498 . _:b665856928 . _:b668378747 . _:b668378749 . _:b668378750 . _:b665458942 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b678849724 . _:b665970705 . _:b665970706 . _:b665122369 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b666092745 . _:b665856939 . _:b666092744 . _:b668378748 . _:b666092746 . _:b678849716 . _:b668378729 . _:b666092737 . _:b666092739 . _:b668378732 . _:b666092663 . _:b666092738 . _:b668378733 . _:b666092662 . _:b666092741 . _:b668378734 . _:b666092740 . _:b668378735 . _:b666092743 . _:b665856957 . _:b674348255 . _:b668378728 . _:b666092742 . _:b668716546 . _:b665856953 . _:b668378726 . _:b675160741 . _:b668378727 . _:b675160375 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b675160737 . _:b675160862 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b666092757 . _:b666092663 . _:b668378906 . _:b666092662 . _:b665970904 . _:b666092758 . _:b675160348 . _:b666092777 . _:b666092778 . _:b675160976 . _:b662809984 . _:b668378899 . _:b665970910 . _:b665970898 . _:b665857079 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b662809989 . . _:b674348604 . _:b662809992 . _:b668378892 . _:b668716578 . _:b662809996 . _:b674348536 . _:b665970915 . _:b675160356 . _:b668378811 . _:b668378812 . _:b666092786 . _:b666092787 . _:b666092788 . _:b668378806 . _:b666092789 . _:b666092790 . _:b666092791 . _:b668378801 . _:b675160712 . _:b666092813 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b666092724 . _:b668378802 . _:b668378810 . _:b666092723 . _:b668378803 . _:b668378804 . _:b668378805 . _:b666092812 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b668378815 . _:b665121933 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b675160723 . _:b668378784 . _:b665122316 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b675160975 . _:b668378794 . _:b665970917 . _:b668378795 . _:b675160374 . _:b665857351 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b666092728 . _:b668378796 . _:b666092735 . _:b666092722 . _:b668378798 . _:b668378790 . _:b666092729 . _:b666092720 . _:b666092721 . _:b668378785 . _:b666092718 . _:b662810168 . _:b666092719 . _:b662810169 . _:b668378913 . _:b665795785 . _:b668378788 . _:b662810170 . _:b666092717 . _:b665971142 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b668378789 . _:b662810171 . _:b668378797 . _:b666092710 . _:b662810172 . _:b665971389 . _:b666092711 . _:b668378791 . _:b665971388 . _:b662810173 . _:b665971391 . _:b668378776 . _:b662810174 . _:b665970856 . _:b665971390 . _:b675160920 . _:b668378777 . _:b662810175 . _:b668378778 . _:b662810160 . _:b668716740 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b668378779 . _:b665971387 . _:b668378780 . _:b665970872 . _:b665971384 . _:b665971386 . _:b668378781 . _:b662810163 . _:b666092712 . _:b668378782 . _:b665971381 . _:b662810164 . _:b665970864 . _:b668378783 . _:b662810165 . _:b665970871 . _:b665971383 . _:b668378768 . _:b665970854 . _:b662810166 . _:b674348401 . _:b665857636 _:b665857641 . _:b665971380 . _:b662810167 . _:b674348400 . _:b665971382 . _:b665857636 _:b665857637 . _:b665970866 . _:b668378771 . _:b665970867 . _:b662810145 . _:b665971379 . _:b668378772 . _:b668378773 . _:b665121963 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b674016353 . _:b668378774 . _:b668378775 . _:b662810157 . _:b662810158 . _:b662810150 . _:b668378753 . _:b666092701 . _:b662810146 . _:b666092697 . _:b668378765 . _:b662810147 . _:b665122052 . _:b665970863 . _:b668378766 . _:b668378758 . _:b662809860 . _:b666092698 . _:b666092700 . _:b674016316 . _:b662810159 . _:b668378754 . _:b674016317 . _:b662810128 . _:b678849795 . _:b668378755 . _:b674016318 . _:b665459457 . _:b674016319 . _:b662810138 . _:b665122575 "2024-09-10T22:08:01.738023"^^ . _:b674016312 . _:b662810139 . _:b678849593 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b674016313 . _:b665970846 . _:b675160885 . _:b674016314 . _:b662810141 . _:b668378767 . _:b674016315 . _:b662810142 . _:b674016308 . _:b668378874 . _:b674016309 . _:b665176994 . _:b674016310 . _:b668378867 . _:b674016311 . _:b674348226 . _:b668378877 . _:b674016304 . _:b674348227 . _:b674016305 . _:b662810140 . _:b665177013 . _:b674016306 . _:b668378864 . _:b674016307 . _:b674348230 . _:b668378865 . _:b674016300 . _:b668378873 . _:b668378878 . _:b674348231 . _:b668378866 . _:b674016301 . _:b674016248 . _:b674348228 . _:b674016302 . _:b662810121 . _:b665795843 . _:b674348229 . _:b666092790 . _:b674016303 . _:b668378868 . _:b665857615 _:b665857616 . _:b665857615 _:b665857620 . _:b674348234 . _:b668378869 . _:b674016296 . _:b674016251 . _:b674016243 . _:b674348235 . _:b666092784 . _:b674016297 . _:b674016252 . _:b665970723 . _:b662810124 . _:b674348232 . _:b674016298 . _:b662810125 . _:b674348233 . _:b668378856 . _:b674016299 . _:b674016254 . _:b662810126 . _:b674348238 . "William Duncan"@en . _:b668378857 . _:b674016292 . _:b662810127 . _:b674016247 . _:b674348239 . _:b665857322 . _:b665177011 . _:b668378858 . _:b674016293 . _:b662810120 . _:b674348236 . _:b668378859 . _:b674016294 . _:b674348237 . _:b668378860 . _:b674016295 . _:b674348242 . _:b668378861 . _:b674016288 . _:b674348243 . _:b666092792 . _:b674016289 . _:b674016244 . _:b668378862 . _:b674348240 . _:b666092799 . _:b674016290 . _:b668378863 . _:b674016253 . _:b674348241 . _:b668378848 . _:b674016291 . _:b662810118 . _:b674348246 . _:b674348746 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b678849893 . _:b668378849 . _:b674016284 . _:b662810119 . _:b668716677 . _:b674348247 . _:b668378850 . _:b674016285 . _:b674348244 . _:b668378851 . _:b674016286 . _:b662810233 . _:b665177000 . _:b674348245 . _:b665857629 _:b665857630 . _:b668378852 . _:b674016287 . _:b662810234 . _:b674016226 . _:b674348250 . _:b678849889 . _:b666092775 . _:b674016280 . _:b668378853 . _:b662810235 . _:b674016227 . _:b674348251 . _:b666093177 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b662809623 . _:b666092768 . _:b668378854 . _:b662810236 . _:b662810228 . _:b674348248 . _:b668378855 . _:b674016282 . _:b674016237 . _:b662810237 . _:b674348249 . _:b666092772 . _:b674016283 . _:b665176946 "1"^^ . _:b666092770 . _:b662810238 . _:b674016230 . _:b674348254 . _:b662809620 . _:b666092773 . _:b674016276 . _:b668378841 . _:b665176947 "1"^^ . _:b662810239 . _:b674016231 . _:b665177006 . _:b675160607 . _:b674348255 . _:b665857629 _:b665857634 . _:b665857321 . _:b662809627 . _:b668378842 . _:b674016277 . _:b662810224 . _:b674348252 . _:b666092781 . _:b674016278 . _:b668378843 . _:b662810225 . _:b674348253 . _:b668378844 . _:b674016279 . _:b665458908 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b675160872 . _:b668378836 . _:b662809591 . _:b662810226 . _:b674348258 . _:b665857622 _:b665857623 . _:b678849905 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b674016272 . _:b668378845 . _:b662810227 . _:b674348259 . _:b668378846 . _:b674016273 . _:b674016236 . _:b674348256 . _:b666092777 . _:b674016274 . _:b668378847 . _:b665857622 _:b665857627 . _:b662810229 . _:b674348257 . _:b665459477 . _:b674016275 . _:b668378832 . _:b662810230 . _:b674016238 . _:b662809587 . _:b674348262 . _:b666092779 . _:b668378833 . _:b665176959 . _:b674348263 . _:b668378834 . _:b674016269 . _:b665459002 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b662810216 . _:b674348260 . _:b668379222 . _:b666092757 . _:b674016270 . _:b668378835 . _:b662810217 . _:b665122138 . _:b674348261 . _:b662809601 . _:b662810218 . _:b674348266 . _:b666092759 . _:b668378837 . _:b662810219 . _:b674348267 . _:b668378838 . _:b662810220 . _:b674348264 . _:b665176847 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b666092753 . _:b662810221 . _:b674348265 . _:b662809605 . _:b668378824 . _:b662810222 . _:b674348270 . _:b665459484 . _:b668378825 . _:b662810223 . _:b674348271 . _:b665176942 . _:b668378826 . _:b662810208 . _:b674348268 . _:b668378827 . _:b662810209 . _:b674348269 . _:b662809609 . _:b666092766 . _:b668378828 . _:b665970675 . _:b665176952 . _:b674348274 . _:b668378829 . _:b674016219 . _:b674348275 . _:b662809615 . _:b675160817 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b668378830 . _:b662810212 . _:b674016220 . _:b674348272 . _:b668378831 . _:b662810213 . _:b674348273 . _:b675160744 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b666092764 . _:b675160635 . _:b668378816 . _:b662810214 . _:b674348278 . _:b668378817 . _:b674016380 . _:b662810215 . _:b665970915 . _:b674348279 . _:b674016381 . _:b674348276 . _:b662810082 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b674016382 . _:b674348233 . _:b674348277 . _:b665176950 . _:b666092742 . _:b674016383 . _:b668378820 . _:b674348282 . _:b665857300 . _:b665970682 . _:b674016376 . _:b668378821 . _:b662810203 . _:b674348283 . _:b668378822 . _:b674016377 . _:b662810204 . _:b674348280 . _:b668378823 . _:b674016378 . _:b674348281 . _:b674016379 . _:b662809949 . _:b674348286 . _:b662810198 . _:b665970686 . _:b674016372 . _:b665122098 . _:b674348287 . _:b674016373 . _:b665970908 . _:b674348284 . _:b666092749 . _:b675160590 . _:b674016374 . _:b662810193 . _:b674348285 . _:b678849864 . _:b674016375 . _:b662810194 . _:b665857643 . _:b662810202 . _:b674016368 . _:b662810195 . _:b665856912 . _:b674016369 . _:b662810196 . _:b665856919 . _:b665970896 . _:b663276338 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b674016370 . _:b662810197 . _:b674016371 . _:b674016364 . _:b662810207 . _:b674016365 . _:b665856923 . _:b662810176 . _:b678849875 . _:b674016366 . _:b674016367 . _:b662810186 . _:b665970902 . _:b674016360 . _:b662810187 . _:b662810024 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b674016361 . _:b662810188 . _:b665793530 . _:b674016362 . _:b665971404 . _:b665970889 . _:b665970671 . _:b674016363 . _:b662810190 . _:b662810182 . _:b665793528 . _:b675160592 . _:b674016356 . _:b665459157 . _:b665971405 . _:b678849896 . _:b665176399 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665970669 . _:b675160593 . _:b674016357 . _:b665793529 . _:b678849897 . _:b665971400 . _:b674016358 . _:b662810177 . _:b674016359 . _:b665971403 . _:b665970894 . _:b665971402 . _:b674016352 . _:b665971401 . _:b665970895 . _:b665971397 . _:b674016353 . _:b662810180 . _:b665971398 . _:b674016354 . _:b662810181 . _:b665971396 . _:b662810189 . _:b674016355 . _:b675160603 . _:b668378606 . _:b665122091 . _:b674016348 . _:b668378607 . _:b662810183 . _:b665971393 . _:b674016349 . _:b666093114 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665971394 . _:b674016350 . _:b665856906 . _:b662809809 . _:b665971395 . _:b674016351 . _:b674016344 . _:b662809815 . _:b665176906 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b674016345 . _:b665459526 . _:b674016346 . _:b665459286 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b674016347 . _:b662810253 . _:b674016340 . _:b665856908 . _:b674016341 . _:b674348543 . _:b674016342 . _:b665856946 . _:b674016343 . _:b666093079 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674016336 . _:b665176383 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b674016337 . _:b665856951 . _:b662809822 . _:b674016338 . _:b678850116 . _:b666092779 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b674016339 . _:b674016332 . _:b665121990 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b674016333 . _:b662810279 . _:b674016334 . _:b678850112 . _:b665856954 . _:b674016335 . _:b662809792 . _:b674016328 . _:b665177011 . _:b674016329 . _:b674016330 . _:b678850124 . _:b665856958 . _:b674016331 . _:b668378657 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b674016324 . _:b674016325 . _:b674016326 . _:b665856930 . _:b674016327 . _:b665795180 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665795414 . _:b674016320 . _:b674016321 . _:b665177004 . _:b663277732 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b674016322 . _:b674016323 . _:b663277704 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b678849641 "zero dimension continuant fiat boundaries are not spatial points. Considering the example 'the quadripoint where the boundaries of Colorado, Utah, New Mexico, and Arizona meet' : There are many frames in which that point is zooming through many points in space. Whereas, no matter what the frame, the quadripoint is always in the same relation to the boundaries of Colorado, Utah, New Mexico, and Arizona."@en . _:b665856932 . _:b665176992 . _:b662809841 . _:b662810266 . _:b665856936 . _:b662810259 . _:b675160941 . _:b662810269 . _:b674348442 . _:b663276302 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b675160643 . _:b665176998 . _:b665856940 . _:b662810256 . _:b662810257 . _:b665176985 . _:b662810270 . _:b662810265 . _:b662810258 . _:b674348354 . _:b674348355 . _:b675160933 . _:b662810260 . _:b674348352 . _:b662810261 . _:b674348353 . _:b665793479 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b674348358 . _:b665176990 . _:b665176991 . _:b674348359 . _:b678850162 . _:b662810248 . _:b674348356 . _:b662810249 . _:b674348357 . _:b662810250 . _:b674348362 . _:b662810251 . _:b674348363 . _:b662810252 . _:b674348360 . _:b662809830 . _:b678850156 . _:b662810253 . _:b662809685 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b674348361 . _:b662810254 . _:b674348366 . _:b662810255 . _:b674348367 . _:b662810240 . _:b674348364 . _:b665793507 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b662810241 . _:b674348365 . _:b663276322 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b678850155 . _:b662810242 . _:b674348370 . _:b662810243 . _:b674348371 . _:b662810244 . _:b674348368 . _:b662810245 . _:b674348369 . _:b665176968 . _:b662810246 . _:b674348374 . _:b662809836 . _:b662810247 . _:b674348375 . _:b665795386 . _:b665176960 . _:b674348372 . _:b665121857 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665176967 . _:b674348373 . _:b665121858 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b674348378 . _:b674348379 . _:b665459129 . _:b665176962 . _:b674348376 . _:b665176963 . _:b674348377 . _:b665459135 . _:b674348382 . _:b665794113 . _:b674348383 . _:b662809680 . _:b665794114 . _:b674348380 . _:b665459132 . _:b665794115 . _:b674348381 . _:b662809753 . _:b665794116 . _:b674348386 . _:b666092759 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b674348387 . _:b665971218 . _:b674348384 . _:b665176418 . _:b665971221 . _:b674348385 . _:b665176419 . _:b674348390 . _:b665459126 . _:b662809679 . _:b674348391 . _:b665176417 . _:b665177072 . _:b674348388 . _:b662810102 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b674348389 . _:b665177073 . _:b665177074 . _:b674348394 . _:b665970838 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665177075 . _:b674348395 . _:b665177076 . _:b674348392 . _:b665970737 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665177077 . _:b674348393 . _:b674348398 . _:b674016388 . _:b674348399 . _:b665970919 . _:b674348396 . _:b678849787 . _:b665177065 . _:b674348397 . _:b665177066 . _:b674348402 . _:b674016384 . _:b665177067 . _:b674348403 . _:b665795350 . _:b674016385 . _:b665177068 . _:b674348400 . _:b674016386 . _:b665177069 . _:b674348401 . _:b674016387 . _:b665177070 . _:b674348406 . _:b674348407 . _:b662809779 . _:b675161006 . _:b665177056 . _:b674348404 . _:b665971257 . _:b665177057 . _:b674348405 . _:b665177058 . _:b674348410 . _:b665971259 . _:b665177059 . _:b674348411 . _:b678849742 . _:b665177060 . _:b674348408 . _:b662809782 . _:b665971261 . _:b665177061 . _:b674348409 . _:b665971260 . _:b665177062 . _:b674348414 . _:b665177063 . _:b674348415 . _:b665971262 . _:b674348412 . _:b674348235 . _:b674348413 . _:b674348290 . _:b665795335 . _:b665971251 . _:b674348291 . _:b674348288 . _:b665795337 . _:b662810044 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b674348289 . _:b665971252 . _:b665177054 . _:b674348294 . _:b674348624 . _:b665177055 . _:b674348295 . _:b662809799 . _:b674348292 . _:b665857344 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b674348293 . _:b678849744 . _:b665177042 . _:b674348298 . _:b666092810 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b678849745 . _:b662809760 . _:b665795343 . _:b665177043 . _:b674348299 . _:b665176846 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665177044 . _:b674348296 . _:b674348297 . _:b665122467 . _:b674348302 . _:b674348303 . _:b674348300 . _:b678849755 . _:b674348301 . _:b678849536 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b663276293 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b674348306 . _:b674348307 . _:b662809645 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b675160970 . _:b674348304 . _:b662809774 . _:b665176933 . _:b674348305 . _:b674348310 . _:b674348311 . _:b674348308 . _:b665177016 "1"^^ . _:b665459397 . _:b665458961 . _:b674348309 . _:b665458960 . _:b674348314 . _:b665458963 . _:b674348315 . _:b665458962 . _:b674348312 . _:b663277839 . _:b674348313 . _:b675160645 . _:b674348318 . _:b665794111 . _:b674348319 . _:b674348768 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b662809655 "Spatial region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the union of a spatial point and a spatial line that doesn't overlap the point, or two spatial lines that intersect at a single point. In both cases the resultant spatial region is neither 0-dimensional, 1-dimensional, 2-dimensional, or 3-dimensional."@en . _:b674348316 . _:b665177008 "1"^^ . _:b665122460 . _:b674348317 . _:b665177015 "1"^^ . _:b674348322 . _:b665794109 . _:b665177014 "1"^^ . _:b674348323 . _:b674348320 . _:b674348321 . _:b665795402 . _:b674348326 . _:b674348327 . _:b665177001 "1"^^ . _:b674348324 . _:b665857576 . _:b665793937 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b662809769 . _:b674348325 . _:b665177007 "1"^^ . _:b674348330 . _:b674348331 . _:b665793427 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665122269 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b674348328 . _:b665793428 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b674348329 . _:b665176995 "1"^^ . _:b674348334 . _:b665459407 . _:b674348335 . _:b674348332 . _:b668716709 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b674348333 . _:b665970751 . _:b674348338 . _:b665970750 . _:b674348339 . _:b665970749 . _:b665971266 . _:b674348336 . _:b674348337 . _:b665176622 . _:b674348342 . _:b674348343 . _:b665122000 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665176626 . _:b674348340 . _:b665176608 . _:b674016562 _:b674016563 . _:b678850070 . _:b674016562 _:b674016567 . _:b665176609 . _:b674348341 . _:b674348346 . _:b674348347 . _:b665795422 . _:b665176624 . _:b674348344 . _:b674348345 . _:b663277907 . _:b675160768 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b674348350 . _:b674348351 . _:b665176600 . _:b674348348 . _:b663277901 . _:b674348349 . _:b665176601 . _:b674016569 _:b674016570 . _:b674016569 _:b674016574 . _:b663277900 . _:b674348482 . _:b665176602 . _:b665795549 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b674348483 . _:b665176604 . _:b674348480 . _:b662809797 . _:b665176605 . _:b674348481 . _:b663277813 . _:b665795366 . _:b675160888 . _:b665176606 . _:b674348486 . _:b665176607 . _:b674348487 . _:b665176592 . _:b674348484 . _:b666093140 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665176469 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b666092768 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b674348485 . _:b665176593 . _:b665176594 . _:b674348490 . _:b665176595 . _:b674348491 . _:b674348488 . _:b666092808 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665176597 . _:b674348489 . _:b665176598 . _:b674348494 . _:b665856972 . _:b675160867 . _:b665176599 . _:b674348495 . _:b674016555 _:b674016560 . _:b674348492 . _:b674348493 . _:b665176586 . _:b674348498 . _:b663276343 . _:b674348499 . _:b665176587 . _:b675160621 . _:b665176588 . _:b674348496 . _:b665176589 . _:b674348497 . _:b675160717 . _:b665176590 . _:b674348502 . _:b674016555 _:b674016556 . _:b665793564 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665177126 _:b665177127 . _:b665176591 . _:b674348503 . _:b665794107 . _:b666092655 . _:b674348500 . _:b665176576 . _:b663276344 . _:b665794094 . _:b665794105 . _:b665177126 _:b665177131 . _:b674348501 . _:b674348506 . _:b665794108 . _:b674348507 . _:b663276348 . _:b665794110 . _:b674348504 . _:b663276349 . _:b665795359 . _:b675160354 . _:b674348505 . _:b663276323 . _:b674348510 . _:b674348511 . _:b665970753 . _:b665459284 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665459280 . _:b674348508 . _:b665970752 . _:b674348509 . _:b665971344 . _:b665970671 . _:b674348514 . _:b663276326 . _:b665970670 . _:b674348515 . _:b663276325 . _:b674348512 . _:b663276324 . _:b665971115 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b674348513 . _:b665177112 _:b665177113 . _:b668378991 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665177112 _:b665177117 . _:b663276330 . _:b674348518 . _:b663276331 . _:b674348519 . _:b674348516 . _:b665971337 . _:b674348517 . _:b674348905 . _:b674348522 . _:b675160372 . _:b674348523 . _:b665857501 . _:b674348520 . _:b674348521 . _:b675160725 . _:b665459518 . _:b674348526 . _:b665177119 _:b665177120 . _:b665177119 _:b665177124 . _:b675160368 . _:b674348527 . _:b674348524 . _:b665177105 _:b665177110 . _:b665177105 _:b665177106 . _:b674348525 . _:b674348530 . _:b674348531 . _:b663276295 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b668379202 . _:b674348677 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b666092659 . _:b674348528 . _:b665793990 . _:b668379203 . _:b674348529 . _:b665970687 . _:b668379200 . _:b674348534 . _:b668379201 . _:b674348535 . _:b668379206 . _:b674348532 . _:b674016638 . _:b668379207 . _:b674348533 . _:b665970683 . _:b674016639 . _:b665793997 . _:b668379204 . _:b674348538 . _:b668379205 . _:b674348539 . _:b668379210 . _:b674348536 . _:b665793998 . _:b668379211 . _:b674348537 . _:b668379192 . _:b668379184 . _:b668379208 . _:b674348542 . _:b668379193 . _:b668379209 . _:b674348543 . _:b665176819 . _:b668379194 . _:b675160743 . _:b668379214 . _:b674348540 . _:b668379195 . _:b668379215 . _:b674348541 . _:b663276358 . _:b668379196 . _:b668379212 . _:b674348418 . _:b663276359 . _:b668379197 . _:b668379213 . _:b674348419 . _:b663276356 . _:b668379198 . _:b668379218 . _:b674348229 . _:b674348416 . _:b663276357 . _:b668379199 . _:b668379219 . _:b674348417 . _:b668379216 . _:b674348422 . _:b675160395 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b668379185 . _:b665793995 . _:b668379217 . _:b674348226 . _:b674348423 . _:b663276360 . _:b668379186 . _:b668379222 . _:b674348420 . _:b663276361 . _:b668379223 . _:b674348421 . _:b675160343 . _:b668379220 . _:b674348426 . _:b666093111 . _:b668379189 . _:b668379221 . _:b665795379 . _:b674348427 . _:b666093104 . _:b668379190 . _:b668379226 . _:b674348424 . _:b668379191 . _:b668379227 . _:b674348425 . _:b668379224 . _:b662810008 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b674348430 . _:b665795382 . _:b668379225 . _:b674348431 . _:b668379230 . _:b674348428 . _:b668379231 . _:b674348429 . _:b666093118 . _:b668379180 . _:b668379228 . _:b665795386 . _:b674348434 . _:b668379181 . _:b668379229 . _:b674348435 . _:b668379234 . _:b665857158 . _:b674348432 . _:b668379175 . _:b668379235 . _:b665795389 . _:b674348433 . _:b668379232 . _:b674348438 . _:b674016604 . _:b668379233 . _:b674348439 . _:b665793568 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b668379170 . _:b668379238 . _:b674348436 . _:b666093093 . _:b668379171 . _:b668379179 . _:b674016550 . _:b668379239 . _:b663277861 . _:b674348437 . _:b665121889 . _:b668379172 . _:b668379236 . _:b674348442 . _:b668379173 . _:b668379237 . _:b674348443 . _:b668379174 . _:b668379242 . _:b665176568 . _:b674348440 . _:b662809733 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b668379243 . _:b663277857 . _:b674348441 . _:b666093092 . _:b674016603 . _:b668379160 . _:b668379240 . _:b674348446 . _:b674016722 . _:b668379153 . _:b668379241 . _:b674348447 . _:b668379246 . _:b674348444 . _:b668379163 . _:b668379247 . _:b663277869 . _:b674348445 . _:b668379164 . _:b668379244 . _:b674348450 . _:b666093097 . _:b674348885 . _:b668379165 . _:b668379245 . _:b674348451 . _:b675160435 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b666093090 . _:b668378827 . _:b668379250 . _:b674348448 . _:b666093091 . _:b668379167 . _:b668379159 . _:b668379251 . _:b674348449 . _:b666093088 . _:b674016291 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b666093098 . _:b668379152 . _:b668379248 . _:b674348454 . _:b666093089 . _:b674016576 _:b674016581 . _:b674016576 _:b674016577 . _:b668378824 . _:b668379249 . _:b665176517 . _:b674348455 . _:b666093086 . _:b668379154 . _:b668379185 . _:b668379254 . _:b674348452 . _:b666093087 . _:b668378830 . _:b674016537 . _:b668379255 . _:b674348453 . _:b668379252 . _:b678849962 "b is a specifically dependent continuant = Def. b is a continuant & there is some independent continuant c which is not a spatial region and which is such that b s-depends_on c at every time t during the course of b\u2019s existence. (axiom label in BFO2 Reference: [050-003])"@en . _:b675160964 . _:b674016530 . _:b665176518 . _:b674348458 . _:b675161046 . _:b668379157 . _:b668379253 . _:b674348459 . _:b668379158 . _:b674016540 . _:b668379166 . _:b668379258 . _:b674348456 . _:b665795768 . _:b666093079 . _:b668379259 . _:b674348457 . _:b668379144 . _:b668379136 . _:b675160960 . _:b668379256 . _:b674348462 . _:b668379145 . _:b668379257 . _:b674348463 . _:b675161053 . _:b668379146 . _:b674016528 . _:b668379262 . _:b675160934 . _:b674016536 . _:b674348460 . _:b668379147 . _:b674016529 . _:b668379263 . _:b665856962 . _:b674348461 . _:b666093080 . _:b668379148 . _:b668379260 . _:b675160972 . _:b674016541 . _:b665856963 . _:b674348466 . _:b668379149 . _:b674016531 . _:b668379261 . _:b665856960 . _:b674348467 . _:b665459093 . _:b668379150 . _:b674016532 . _:b668379138 . _:b665176515 . _:b674348464 . _:b665856961 . _:b666093081 . _:b668379151 . _:b668379139 . _:b674348770 . _:b665856966 . _:b674348465 . _:b665176767 . _:b668379136 . _:b674348769 . _:b665856967 . _:b674348470 . _:b665176766 . _:b668379137 . _:b674016700 . _:b668379137 . _:b665856964 . _:b674348471 . _:b674016520 . _:b674016701 . _:b668379142 . _:b662809675 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b674348468 . _:b665856965 . _:b674016521 . _:b674016702 . _:b668379143 . _:b665856970 . _:b674348469 . _:b668379140 . _:b674016703 . _:b674016522 . _:b668379140 . _:b665856971 . _:b674348474 . _:b668379141 . _:b674016696 . _:b674016523 . _:b668378855 . _:b668379141 . _:b665856968 . _:b674348475 . _:b668379142 . _:b674016697 . _:b674016524 . _:b668379173 . _:b668379146 . _:b665856969 . _:b674348472 . _:b675161032 . _:b668379143 . _:b674016698 . _:b674016525 . _:b668379147 . _:b665856974 . _:b674348473 . _:b668378833 . _:b674016699 . _:b674016526 . _:b668379144 . _:b665856975 . _:b675160918 . _:b674348478 . _:b674016527 . _:b674016692 . _:b668379145 . _:b675160919 . _:b665856972 . _:b674348479 . _:b666093066 . _:b674016693 . _:b674016512 . _:b668379150 . _:b665856973 . _:b674348476 . _:b674016513 . _:b674016694 . _:b668379151 . _:b675160921 . _:b665856978 . _:b674348477 . _:b675161039 . _:b666093070 . _:b674016695 . _:b674016514 . _:b668379148 . _:b668716340 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665856979 . _:b665970805 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b674016515 . _:b674016688 . _:b665459087 . _:b668379149 . _:b665856976 . _:b674016516 . _:b674016689 . _:b668379154 . _:b663276332 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665856977 . _:b668379180 . _:b674016690 . _:b674016517 . _:b668379155 . _:b665856982 . _:b674016518 . _:b674016691 . _:b668379152 . _:b665856983 . _:b666093069 . _:b674016684 . _:b674016519 . _:b666093067 . _:b668379153 . _:b675160927 . _:b665856980 . _:b674016685 . _:b668379158 . _:b665856981 . _:b666093173 . _:b674016686 . _:b668379159 . _:b665856986 . _:b666093168 . _:b674016687 . _:b668379156 . _:b674016626 . _:b665856987 . _:b674016635 . _:b674016680 . _:b668379157 . _:b665856984 . _:b674016681 . _:b668379162 . _:b674016628 . _:b665856985 . _:b674016682 . _:b668379163 . _:b675161010 . _:b668379256 . _:b662809580 . _:b665856990 . _:b666093170 . _:b674016683 . _:b668379160 . _:b665856991 . _:b665856952 . _:b674016676 . _:b668379161 . _:b665856988 . _:b674016677 . _:b668379166 . _:b665856989 . _:b666093181 . _:b674016678 . _:b668379243 . _:b668379167 . _:b665856994 . _:b674016679 . _:b668379164 . _:b675161004 . _:b674016634 . _:b668379236 . _:b665856995 . _:b666093183 . _:b674016672 . _:b674016627 . _:b668379165 . _:b665856992 . _:b668379246 . _:b674016673 . _:b668379170 . _:b665856993 . _:b665795735 . _:b674016674 . _:b668379171 . _:b665856998 . _:b666093180 . _:b674016675 . _:b668379232 . _:b665970746 "(forall (x t) (if (IndependentContinuant x) (exists (r) (and (SpatialRegion r) (locatedInAt x r t))))) // axiom label in BFO2 CLIF: [134-001] " . _:b666093178 . _:b668379168 . _:b668379247 . _:b665856999 . _:b668379233 . _:b674016668 . _:b674016631 . _:b668379169 . _:b675161003 . _:b665856996 . _:b665795728 . _:b678849506 . _:b668379234 . _:b674016669 . _:b668379174 . _:b668379242 . _:b665856997 . _:b668379235 . _:b674016670 . _:b674016617 . _:b668379175 . _:b665793418 . _:b665857002 . _:b665970968 . _:b674016671 . _:b668379172 . _:b665857003 . _:b666093159 . _:b674016664 . _:b668379237 . _:b665459017 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b668379173 . _:b665857000 . _:b668379238 . _:b674016665 . _:b674016620 . _:b668379178 . _:b674016612 . _:b665857001 . _:b665856953 . _:b666093153 . _:b674016666 . _:b674016621 . _:b668379179 . _:b665857006 . _:b668379224 . _:b674016667 . _:b668379176 . _:b665857007 . _:b665970975 . _:b674016660 . _:b674016623 . _:b668379225 . _:b668379177 . _:b665857004 . _:b668379226 . _:b674016661 . _:b668379182 . _:b675160641 . _:b674016616 . _:b665857005 . _:b668379227 . _:b674016662 . _:b668379183 . _:b665857010 . _:b668379228 . _:b674016663 . _:b668379180 . _:b665176510 . _:b665857011 . _:b668379229 . _:b674016656 . _:b668379181 . _:b665857008 . _:b668379230 . _:b674016657 . _:b668379186 . _:b665857009 . _:b666093161 . _:b675160990 . _:b674016658 . _:b674016613 . _:b668379231 . _:b668379187 . _:b675160503 . _:b666093097 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b665857014 . _:b665793933 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b678849524 . _:b665856931 . _:b668379216 . _:b674016659 . _:b668379184 . _:b674016622 . _:b665857015 . _:b668379217 . _:b674016652 . _:b665176831 . _:b668379185 . _:b665857012 . _:b668379218 . _:b674016653 . _:b668379190 . _:b665857013 . _:b668379219 . _:b674016654 . _:b668379191 . _:b665857018 . _:b678849520 . _:b665793466 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b674016655 . _:b668379220 . _:b668379188 . _:b665857019 . _:b668379221 . _:b674016648 . _:b668379189 . _:b674016595 . _:b665857016 . _:b666093142 . _:b674016649 . _:b668379222 . _:b668379194 . _:b674016596 . _:b665857017 . _:b666093137 . _:b668379223 . _:b665176821 . _:b668379195 . _:b665857022 . _:b674016606 . _:b674016651 . _:b668379192 . _:b665857023 . _:b666093141 . _:b674016644 . _:b666093139 . _:b668379193 . _:b674016599 . _:b665857020 . _:b666093148 . _:b674016645 . _:b668379210 . _:b668379198 . _:b674016600 . _:b665857021 . _:b668379211 . _:b674016646 . _:b668379199 . _:b665795160 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b666093150 . _:b674016647 . _:b668379212 . _:b668379196 . _:b674348881 . _:b668379213 . _:b668379197 . _:b668379205 . _:b666093144 . _:b674016641 . _:b668379214 . _:b665176440 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b674016660 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b668379215 . _:b674016642 . _:b674016605 . _:b666093146 . _:b674016643 . _:b668379200 . _:b668379201 . _:b674016607 . _:b668379202 . _:b668379206 . _:b668379203 . _:b665176801 . _:b665856906 . _:b666093126 . _:b668379204 . _:b665176802 . _:b665856907 . _:b668379206 . _:b668379207 . _:b665856910 . _:b666093122 . _:b665856911 . _:b674016756 . _:b665794007 . _:b665856908 . _:b674016757 . _:b665856909 . _:b665856914 . _:b665856915 . _:b666093135 . _:b674016752 . _:b665856912 . _:b666093128 . _:b674016753 . _:b674016588 . _:b665856913 . _:b678849495 . _:b674016754 . _:b674016589 . _:b665856918 . _:b674016755 . _:b674016703 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665856919 . _:b666093133 . _:b674016748 . _:b665793856 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665856916 . _:b678849635 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b674016749 . _:b665856917 . _:b674016750 . _:b665176783 . _:b665856922 . _:b662809713 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b674016751 . _:b675160449 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665856923 . _:b665459156 . _:b674016744 . _:b665856920 . _:b674016745 . _:b665856921 . _:b674016746 . _:b665176779 . _:b665856926 . _:b674016747 . _:b665856927 . _:b674016740 . _:b665856924 . _:b674016741 . _:b674348288 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665856925 . _:b674016742 . _:b665856930 . _:b674016743 . _:b665121944 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665856931 . _:b674016736 . _:b665856928 . _:b674016737 . _:b665856929 . _:b674016738 . _:b665856934 . _:b674016739 . _:b665856935 . _:b668378794 . _:b674016732 . _:b665856932 . _:b675160677 . _:b674016733 . _:b665856933 . _:b674016734 . _:b665856938 . _:b674016735 . _:b665856939 . _:b674016728 . _:b665856936 . _:b674016729 . _:b665856937 . _:b668378788 . _:b674016730 . _:b665856942 . _:b674016731 . _:b665856943 . _:b674016724 . _:b675160595 . _:b665856940 . _:b668379173 . _:b674016725 . _:b665856941 . _:b668379214 . _:b675160684 . _:b674016726 . _:b665459527 . _:b665176465 . _:b665856946 . _:b674016727 . _:b665856947 . _:b674016720 . _:b665856944 . _:b674016721 . _:b665856945 . _:b674016722 . _:b665856950 . _:b674016723 . _:b665856951 . _:b674016716 . _:b674348912 . _:b675160603 . _:b665856948 . _:b674016717 . _:b675160700 . _:b665856949 . _:b674016718 . _:b665856954 . _:b675160663 . _:b674016719 . _:b665856955 . _:b674016712 . _:b665856952 . _:b674016713 . _:b665970785 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665856953 . _:b674016714 . _:b665856958 . _:b674016715 . _:b665856959 . _:b674016708 . _:b665856956 . _:b674016709 . _:b665795413 . _:b665856957 . _:b674016710 . _:b668378801 . _:b674016711 . _:b668379189 . _:b665793878 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b675160670 . _:b674016704 . _:b665176363 . _:b675160591 . _:b674016705 . _:b668379266 . _:b674016706 . _:b668379267 . _:b674016707 . _:b668379264 . _:b668379265 . _:b666093113 . _:b668379270 . _:b666093112 . _:b665795561 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665176353 . _:b668379271 . _:b666093115 . _:b674016650 . _:b668379268 . _:b666093114 . _:b662810054 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b668379269 . _:b668379274 . _:b666093185 . _:b668379275 . _:b668379272 . _:b668379273 . _:b674016640 . _:b668379278 . _:b665856944 . _:b668379279 . _:b666093107 . _:b665856953 . _:b668379276 . _:b666093106 . _:b665857422 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b668379277 . _:b666093109 . _:b668379282 . _:b666093108 . _:b665856948 . _:b668379283 . _:b665122344 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b666093111 . _:b665856957 . _:b668379280 . _:b666093110 . _:b665856950 . _:b668379281 . _:b675160635 . _:b668379286 . _:b675160634 . _:b674016761 . _:b668379287 . _:b665856945 . _:b665459499 . _:b668379284 . _:b675160572 . _:b666093011 . _:b668379285 . _:b674016764 . _:b674348811 . _:b665459496 . _:b674016765 . _:b665856956 . _:b662810239 . _:b665856949 . _:b674016766 . _:b668379288 . _:b665459502 . _:b674016767 . _:b668379289 . _:b665971174 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b674016760 . . _:b665856929 . _:b675160564 . _:b665856939 . _:b675160698 . _:b665176333 . _:b666093127 . _:b674016758 . _:b665176334 . _:b666093126 . _:b665856942 . _:b665856934 . _:b674016759 . _:b663277597 . _:b665856943 . _:b665856928 . _:b662810235 . _:b666093146 . _:b666093147 . _:b665856938 . _:b665794088 . _:b665856935 . _:b665856916 . _:b665459505 . _:b675160806 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b675160637 . _:b665176532 . _:b665856917 . _:b665856918 . _:b678849931 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665795562 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b666093160 . _:b674348655 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665856921 . _:b665795269 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b665856922 . _:b665176538 . _:b665176867 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665176526 . _:b665795577 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b663277815 . _:b675160516 . _:b665856927 . _:b662810048 . _:b662810049 . _:b668378718 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b668716715 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b666093155 . _:b665857359 . _:b666093156 . _:b665857358 . _:b665971077 . _:b666093157 . _:b665857357 . _:b666093158 . _:b666093159 . _:b665857356 . _:b675160326 . _:b665176851 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665857355 . _:b666093179 . _:b666093178 . _:b665176543 . _:b665856910 . _:b665856911 . _:b665795529 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665176379 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b675160601 . _:b675160392 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665793474 . _:b665971124 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b668378846 . _:b674016850 . _:b674348602 . _:b665176835 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665176545 . _:b675161014 . _:b674016699 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b675160493 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665970673 . _:b665970674 . _:b668716800 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b674016334 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b662810138 . _:b665970680 . _:b674016839 . _:b665970681 . _:b665971154 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665176882 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b678850004 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665970684 . _:b665970685 . _:b665459037 . _:b674016845 . _:b665121947 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . . _:b674016281 . _:b665176500 . _:b665795647 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665176351 . _:b665971171 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b665176499 . _:b665176482 . _:b665176484 . _:b665971122 . _:b675160904 . _:b665971121 . _:b665176494 . _:b665971120 . _:b665176495 . _:b663277645 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b678849527 . _:b665176491 . _:b662809954 . _:b665795658 . _:b662810166 . _:b665176492 . _:b665856972 . _:b663277785 . _:b665795708 . _:b678849530 . _:b662809857 . _:b674016257 . _:b674016266 . _:b678849528 . _:b663277764 . _:b665856962 . _:b674016259 . _:b665857132 . _:b674016871 . _:b665793679 . _:b678849531 . _:b674016271 . _:b674016265 . _:b665971119 . _:b674016258 . _:b665793481 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665971118 . _:b665857527 . _:b665176474 . _:b662809895 . _:b674016262 . _:b674016791 . _:b674016788 . _:b665857053 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b665793715 . _:b678849493 . _:b668378622 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b662809889 . _:b678849492 . _:b665176378 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665176438 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b678849562 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b662809888 . _:b674016769 . _:b666093135 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665458910 . _:b666093028 . _:b665176853 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665793615 . _:b666093024 . _:b668378837 . _:b674016783 . _:b665970708 . _:b666093109 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665176574 . _:b665176575 . _:b665793624 . _:b674016818 . _:b678849493 . _:b665122374 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b678849492 . _:b666092862 . _:b666092917 . _:b665176547 "1"^^ . _:b665176546 "1"^^ . _:b665793617 . _:b665793618 . _:b665459278 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665793616 . _:b665793619 . _:b665121995 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b666092913 . _:b674016824 . _:b674016831 . _:b665176548 "1"^^ . _:b662810168 . _:b666092925 . _:b665176539 "1"^^ . _:b665793626 . _:b665459406 . _:b674016801 . _:b665793464 . _:b665459489 . _:b665176540 "1"^^ . _:b663276331 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665176536 . _:b674016330 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b665793621 . _:b665857304 . _:b666092903 . _:b663276504 . _:b674348470 . _:b665176533 "1"^^ . _:b668716767 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b666092896 . _:b665176543 . _:b665793620 . _:b674016440 . _:b675160573 . _:b674016441 . _:b665176527 "1"^^ . _:b674016442 . _:b665793629 . _:b665176530 . _:b674016443 . _:b665793628 . _:b674016444 . _:b668378976 . _:b668379224 . _:b674016445 . _:b674016446 . _:b666093263 . _:b666092820 . _:b674016288 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665795410 . _:b674016434 . _:b665176522 . _:b674348455 . _:b674016435 . _:b665176523 . _:b674016436 . _:b665176524 . _:b674348457 . _:b674016437 . _:b674016438 . _:b666093255 . _:b674016439 . _:b674016447 . _:b674016416 . _:b665795263 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665793663 . _:b674348463 . _:b674016428 . _:b665793600 . _:b665793601 . _:b665970802 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674016429 . _:b665176517 . _:b674016421 . _:b665795208 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b674016431 . _:b674016417 . _:b665176639 . _:b665459463 . _:b674016418 . _:b665176638 . _:b665793598 . _:b674016430 . _:b662810187 . . . _:b668378747 . . _:b674016409 . _:b674016410 . _:b662809866 . _:b674016412 . . _:b674016413 . _:b668379202 . _:b665122258 . _:b665795383 . _:b665458916 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665795115 . _:b674016411 . _:b675160761 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b665793694 . _:b674016392 . _:b663276283 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665176478 "1"^^ . _:b665176479 "1"^^ . _:b674016395 . _:b662809639 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b674016396 . _:b674016397 . _:b674016398 . _:b674016391 . _:b662810195 . _:b675160448 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b675160376 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b675160502 . _:b665793876 "A spatiotemporal region is an occurrent entity that is part of spacetime. (axiom label in BFO2 Reference: [095-001])"@en . _:b674016389 . _:b674016390 . _:b665176450 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b668378975 . _:b674016399 . _:b674016504 . _:b668378805 . _:b674016505 . _:b666092841 . _:b674016506 . . _:b674016507 . _:b674016499 . _:b674348542 . _:b674016508 . _:b665459387 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b674016509 . _:b674016510 . _:b674016511 . _:b674016496 . _:b674016497 . _:b668378812 . _:b674016498 . _:b666093281 . _:b674016920 . _:b674016927 . _:b674016500 . _:b666092728 "Temporal region doesn't have a closure axiom because the subclasses don't exhaust all possibilites. An example would be the mereological sum of a temporal instant and a temporal interval that doesn't overlap the instant. In this case the resultant temporal region is neither 0-dimensional nor 1-dimensional"@en . _:b674016501 . _:b665793594 . _:b668379193 . _:b665795398 . _:b674016488 . _:b668379199 . _:b674016489 . _:b663277755 "requested by Melanie Courtot" . _:b665793597 . _:b674016490 . _:b665793596 . _:b674016491 . _:b668379196 . _:b665793583 . _:b665793599 . _:b674016492 . _:b674016902 . _:b674016493 . _:b665793582 . _:b674016494 . _:b674016495 . _:b674016907 . _:b674016480 . _:b665176431 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b674016483 . _:b674016911 . _:b674016484 . _:b674016485 . _:b674016486 . _:b665795755 . _:b674016487 . _:b665793739 . _:b674348506 . _:b665793736 . _:b665793738 . _:b665793741 . _:b674016474 . _:b674016475 . _:b668378837 . _:b674016950 . _:b674016469 . _:b674016948 . _:b674016479 . _:b665793745 . _:b665176547 . _:b665793746 . _:b674016464 . _:b665793744 . _:b665793747 . _:b674016465 . _:b674016473 . _:b674016466 . _:b674016467 . _:b674016468 . _:b666093326 . _:b674016478 . _:b665122359 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b674016457 . _:b674016929 . _:b674016458 . _:b674016459 . _:b665793848 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b674016934 . _:b674016461 . _:b674016453 . _:b666093334 . _:b665795712 . _:b666093237 . _:b674016448 . _:b665971288 . _:b678849567 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b674016657 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b674016936 . _:b665795719 . _:b674016451 . _:b674016943 . _:b674016452 . _:b674016460 . _:b665176365 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674016941 . _:b674016454 . _:b665176664 . _:b665795767 . _:b665176661 . _:b665176663 . _:b665176660 . _:b665176662 . _:b665176656 . _:b674016597 . _:b665176659 . _:b675160699 . _:b665793742 . _:b665176657 . _:b665176652 . _:b665970849 . _:b674016601 . _:b665793740 . _:b665176655 . _:b665176654 . _:b665176653 . _:b665176649 . _:b665459383 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665176650 . _:b665176648 . _:b675160328 . _:b662810063 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665970852 . _:b666092957 . _:b666092956 . _:b662810258 . _:b674016579 . _:b665176645 . _:b665176646 . _:b668379208 . _:b665176647 . _:b665176641 . _:b665176640 . _:b665176643 . _:b674016581 . _:b665795484 . _:b665176642 . _:b662810266 . _:b665793664 . _:b665793665 . _:b668379248 . _:b674016586 . _:b665970897 . _:b665795779 . _:b665793509 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665857012 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b674016584 . _:b674016590 . _:b668379257 . _:b665795192 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665970888 . _:b674016624 . _:b665970891 . _:b665970890 . _:b665970893 . _:b663277858 . _:b674016629 . _:b666092868 . _:b665970892 . _:b663277859 . _:b665793638 . _:b665970755 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b663277856 . _:b665177036 . _:b668379239 . _:b675160580 . _:b674016632 . _:b665970883 . _:b666092963 . _:b665970882 . _:b663277869 . _:b675160585 . _:b665458914 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b674016636 . _:b674016610 . _:b675160461 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b674016608 . _:b666093022 . _:b674016686 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b662809739 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b674016614 . _:b668379244 . _:b668379155 . . _:b674016618 . _:b666092912 . _:b666092871 . _:b665795752 . _:b665176945 . _:b665857341 . _:b665793725 . _:b665458874 . _:b665458873 . _:b668379161 . _:b665793704 . _:b674348377 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b665176948 . _:b665795791 . _:b665857331 . _:b668379147 . _:b674016533 . _:b668379138 . _:b674016670 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b674016538 . _:b665794082 . _:b665857313 . _:b665857322 . _:b665795495 . _:b674016542 . _:b665795494 . _:b668716745 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b665857317 . _:b665857326 . _:b665970995 . _:b665857319 . _:b665857312 . _:b665459372 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665857314 . _:b665971155 . _:b663277701 . _:b665795638 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b663277607 . _:b662809803 . _:b665971154 . _:b663277606 . _:b665970994 . _:b668379187 . _:b665176984 . _:b665971004 . _:b665857325 . _:b663277702 . _:b665857318 . _:b665176987 . _:b665176986 . _:b663277721 . _:b665857304 . _:b665176989 . _:b665857296 . _:b665971157 . _:b663277722 . _:b665176988 . _:b668716346 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665176299 . _:b665971156 . _:b665176298 . _:b665857298 . _:b665971162 . _:b665970985 . _:b665176881 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b675160822 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665970986 . _:b665857308 . _:b665971161 . _:b665176979 . _:b665857311 . _:b665176978 . _:b665857303 . _:b665176983 . _:b665970991 . _:b663277607 . _:b665857297 . _:b674348554 . _:b665970976 . _:b674016560 . _:b663277606 . _:b665970984 . _:b665970977 . _:b674016567 . _:b665857307 . _:b665970978 . _:b665970979 . _:b674348557 . _:b674016565 . . _:b665970980 . _:b674348556 . _:b674348559 . _:b665970981 . _:b665970982 . _:b668379168 . _:b665970990 . _:b665857280 . _:b665970983 . _:b665176311 . _:b668379071 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b674348562 . _:b665970968 . _:b665970969 . _:b665970970 . _:b674016574 . _:b674348563 . _:b665970971 . _:b674348564 . _:b665795193 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665970972 . _:b674348565 . _:b674016572 . _:b665176978 . _:b665857286 . _:b665970973 . _:b665857287 . _:b665970974 . _:b668379176 . _:b665970975 . _:b663277730 . _:b665970960 . _:b668379182 . _:b663277731 . _:b665857290 . _:b665970961 . _:b674016551 . _:b663277732 . _:b665176985 . _:b665857291 . _:b665971187 . _:b665970962 . _:b663277733 . _:b663277734 . _:b665970963 . _:b665176315 . _:b663277735 . _:b665970964 . _:b665176986 . _:b665971190 . _:b665970965 . _:b665971191 . _:b663277754 . _:b665970966 . _:b665971188 . _:b663277753 . _:b665970967 . _:b665971189 . _:b668379087 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b678849936 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b665970952 . _:b662809845 . _:b665122109 . _:b665970954 . _:b674016558 . _:b665971192 . _:b665970955 . _:b665970958 . _:b665970959 . _:b665122051 . _:b665970944 . _:b678849618 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665970945 . _:b665970953 . _:b665970946 . _:b662809884 . _:b665970947 . _:b665970948 . _:b662809849 . _:b665971174 . _:b665970949 . _:b666093284 . _:b674348560 . _:b665971175 . _:b675160804 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665970950 . _:b663277686 . _:b665970951 . _:b665122059 . _:b665121909 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b666093283 . _:b665122058 . _:b665971179 . _:b662810098 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b663277901 . _:b666093281 . _:b665176993 . _:b665971067 . _:b666093294 . _:b665971059 . _:b665795704 . _:b674348558 . _:b665795706 . _:b665971061 . _:b663277693 . _:b665971180 . _:b665971071 . _:b668379215 . _:b665794126 . _:b665794123 . _:b663277909 . _:b665794066 . _:b665971066 . _:b674016654 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b675160350 . _:b675160535 . _:b665971060 . _:b668716704 . _:b665794123 . _:b668716702 . _:b663277668 . _:b663277667 . _:b665971070 . _:b668716706 . _:b665794126 . _:b668716701 . _:b665794121 . _:b665122056 . _:b665794119 . _:b668379220 . _:b668716705 . _:b662810215 . _:b668716696 . _:b665971042 . _:b674016387 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b668716707 . _:b668716699 . _:b665971043 . _:b662810213 . _:b668716698 . _:b665458862 . _:b662809694 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b668716711 . _:b665794119 . _:b666093115 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b668716692 . _:b668379227 . _:b665176908 "p is a process boundary =Def. p is a temporal part of a process & p has no proper temporal parts. (axiom label in BFO2 Reference: [084-001])"@en . _:b668716709 . _:b663277672 . _:b668716695 . _:b665794137 . _:b663277679 . _:b668716694 . _:b665794142 . _:b674348785 . _:b668716689 . _:b663277666 . _:b668716691 . _:b674348788 . _:b666092653 . _:b665971049 . _:b665794140 . _:b663277673 . _:b665971050 . _:b663277664 . _:b668716688 . _:b663277665 . _:b665176873 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b668716721 . _:b665794140 . _:b663277662 . _:b674348787 . _:b665971053 . _:b663277663 . _:b662809752 . _:b668716422 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674016762 . _:b665971054 . _:b662810216 . _:b668716722 . _:b665794137 . _:b668716720 . _:b665857602 . _:b663277661 . _:b668716723 . _:b665857603 . _:b663277654 . _:b665857600 . _:b668716724 . _:b665794135 . _:b663277655 . _:b665857601 . _:b665794130 . _:b665794133 . _:b665857606 . _:b665794133 . _:b665794130 . _:b668716725 . _:b665857607 . _:b668716730 . _:b668716728 . _:b662810226 . _:b668716731 . _:b665857604 . _:b665857605 . _:b665794128 . _:b665857610 . _:b665176414 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b668716729 . _:b665857611 . _:b668716734 . _:b663277656 . _:b665857608 . _:b668716735 . _:b665857609 . _:b668716732 . _:b668716733 . _:b665857614 . _:b665857615 . _:b665857612 . _:b665857613 . _:b668379280 . _:b666092729 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665857618 . _:b668379287 . _:b665857619 . _:b665794144 . _:b665857616 . _:b668379285 . _:b665857459 . _:b663276274 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665857617 . _:b665857622 . _:b665857469 . _:b665857623 . _:b665857470 . _:b665857620 . _:b665794144 . _:b663277645 . _:b665857621 . _:b665857456 . _:b665857626 . _:b665857457 . _:b663277641 . _:b665857627 . _:b665857458 . _:b665857624 . _:b665857625 . _:b668716726 . _:b663277642 . _:b663277644 . _:b665857630 . _:b665177064 . _:b668716727 . _:b665857631 . _:b668379266 . _:b663277748 . _:b665857628 . _:b674348783 . _:b665857471 . _:b665857629 . _:b668379264 . _:b674348781 . _:b668716715 . _:b666093043 . _:b665857634 . _:b668379271 . _:b665857449 . _:b674348769 . _:b674348770 . _:b665857635 . _:b674348784 . _:b665459302 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665857450 . _:b665177071 . _:b668716712 . _:b666093053 . _:b668716717 . _:b665857632 . _:b674348710 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b668716713 . _:b663277745 . _:b674348786 . _:b668716716 . _:b668716693 . _:b665857633 . _:b665857452 . _:b665793716 . _:b665857638 . _:b668716718 . _:b665857639 . _:b668716708 . _:b668379144 . _:b663277756 . _:b665857636 . _:b668379273 . _:b665857455 . _:b663277755 . _:b668716697 . _:b665857637 . _:b668716703 . _:b668716714 . _:b668716710 . _:b663277758 . _:b665857642 . _:b665857643 . _:b668379278 . _:b675160537 . _:b662809814 . _:b662809773 . _:b665857640 . _:b665857451 . _:b663277753 . _:b665857641 . _:b668716719 . _:b665176603 . _:b668716773 . _:b666093231 . _:b665793985 . _:b668716764 . _:b668716761 . _:b665793986 . _:b668716760 . _:b668716775 . _:b668716762 . _:b665793987 . _:b663277734 . _:b663276569 . _:b668716774 . _:b665793988 . _:b668716765 . _:b665793910 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b663277728 . _:b668716767 . _:b668716763 . _:b668716766 . _:b665176595 . _:b665795126 . _:b665795125 . _:b668716779 . _:b668716780 . _:b668716778 . _:b678849609 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b665176367 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665176596 . _:b665793984 . _:b665971104 . _:b668716755 . _:b665176920 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b675160811 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b668716781 . _:b663277736 . _:b668716759 . _:b668716776 . _:b663277743 . _:b668716777 . _:b663276562 . _:b668716782 . _:b666093063 . _:b665857538 . _:b663277719 . _:b666093272 . _:b665857539 . _:b668716748 . _:b666093059 . _:b665971088 . _:b663277712 . _:b665857536 . _:b668716749 . _:b663276555 . _:b665857537 . _:b663277714 . _:b663277716 . _:b665857542 . _:b663277717 . _:b665857543 . _:b668716795 . _:b668716799 . _:b665857540 . _:b668716794 . _:b666093265 . _:b668716798 . _:b663277725 . _:b665857541 . _:b668378624 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665793993 . _:b665857546 . _:b678849987 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665857547 . _:b665795482 . _:b665857544 . _:b665971089 . _:b663277721 . _:b665857545 . _:b668716797 . _:b665857550 . _:b674016924 _:b674016925 . _:b668716796 . _:b663277723 . _:b665857551 . _:b663276548 . _:b665122278 "b is an occurrent entity iff b is an entity that has temporal parts. (axiom label in BFO2 Reference: [079-001])"@en . _:b668716742 . _:b665857548 . _:b668716737 . _:b665122005 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b668716743 . _:b663277701 . _:b665857549 . _:b665971094 . _:b665857528 . _:b675160949 . _:b668716736 . _:b665857520 . _:b668716740 . _:b668716792 . _:b665857554 . _:b663277703 . _:b668716793 . _:b668716741 . _:b665857555 . _:b668378702 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665857552 . _:b665971081 . _:b674016924 _:b674016929 . _:b662809991 . _:b663277697 . _:b665857553 . _:b668716738 . _:b665857558 . _:b665176889 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b668716739 . _:b665857559 . _:b668716790 . _:b665857534 . _:b668716787 . _:b665971076 . _:b665857556 . _:b665971085 . _:b665857535 . _:b675160954 . _:b668716750 . _:b665971401 . _:b674016816 . _:b665857557 . _:b668716785 . _:b663277710 . _:b665857562 . _:b668716784 . _:b665857521 . _:b665857529 . _:b674016826 . _:b665857563 . _:b668716746 . _:b665971080 . _:b674016827 . _:b665971405 . _:b668716747 . _:b665857560 . _:b668716791 . _:b678849483 . _:b665971405 . _:b674016828 . _:b665459151 . _:b665857561 . _:b665971074 . _:b665857524 . _:b665971082 . _:b663277708 . _:b668716786 . _:b668716751 . _:b665857566 . _:b668716788 . _:b668716745 . _:b665971075 . _:b665857525 . _:b668716789 . _:b665971403 . _:b665857533 . _:b674016830 . _:b668716744 . _:b674016822 . _:b665857567 . _:b665857526 . _:b668716758 . _:b665971401 . _:b668716753 . _:b665794034 . _:b665857564 . _:b665971077 . _:b665857527 . _:b665794032 . _:b662809995 . _:b665971398 . _:b665857565 . _:b668378926 . _:b665794033 . _:b665857512 . _:b674016817 . _:b665857570 . _:b668716756 . _:b668378734 "1"^^ . _:b668716757 . _:b668716783 . _:b665857571 . _:b665857514 . _:b665971396 . _:b665971394 . _:b665857568 . _:b668716754 . _:b665857507 . _:b674016820 . _:b665971394 . _:b665857569 . _:b668378733 "1"^^ . _:b674016821 . _:b674016829 . _:b665857574 . _:b665857517 . _:b668716752 . _:b665857575 . _:b665857518 . _:b665971398 . _:b674016823 . _:b668716768 . _:b665857572 . _:b665857519 . _:b674016808 . _:b668716769 . _:b665857573 . _:b665857504 . _:b668716771 . _:b665793989 . _:b674016809 . _:b665857578 . _:b665857505 . _:b668716770 . _:b665857513 . _:b674016810 . _:b665857579 . _:b665857506 . _:b674016811 . _:b665857576 . _:b675160942 . _:b674016812 . _:b674016945 _:b674016950 . _:b674016945 _:b674016946 . _:b665857577 . _:b665857508 . _:b674016813 . _:b675160818 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665857582 . _:b668716772 . _:b674016814 . _:b665857583 . _:b674016815 . _:b665857580 . _:b665857511 . _:b674016800 . _:b665857581 . _:b665857496 . _:b665122313 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665857586 . _:b665857497 . _:b665857587 . _:b665857498 . _:b665857490 . _:b674016803 . _:b665857584 . _:b665857499 . _:b674016804 . _:b665857585 . _:b665857500 . _:b674016805 . _:b665857590 . _:b665857501 . _:b674016806 . _:b665857591 . _:b665857502 . _:b674016807 . _:b665857588 . _:b665857503 . _:b665857589 . _:b674348927 . _:b665857488 . _:b665795416 . _:b663277838 . _:b674016785 . _:b665857594 . _:b665857489 . _:b665793970 . _:b665857595 . _:b678849960 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665970818 . _:b665857592 . _:b665857491 . _:b665970819 . _:b665793951 . _:b675160846 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665857593 . _:b674016931 _:b674016932 . _:b674016797 . _:b665793969 . _:b665857598 . _:b665856935 . _:b674016798 . _:b674016790 . _:b665857599 . _:b674016931 _:b674016936 . _:b665857494 . _:b665970822 . _:b665857596 . _:b675160399 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665857495 . _:b665970823 . _:b665795135 . _:b665857597 . _:b665970820 . _:b663277830 . _:b665970821 . _:b674016786 . _:b674016787 . _:b665793967 . _:b665857476 . _:b665459125 . _:b662809818 . _:b666092740 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b674016938 _:b674016943 . _:b674016938 _:b674016939 . _:b674016799 . _:b668379116 . _:b663277609 . _:b674016768 . _:b665857472 . _:b665857473 . _:b665857481 . _:b674016778 . _:b674016779 . _:b663277620 . _:b674016781 . _:b665857477 . _:b674016782 . _:b663277689 . _:b665857478 . _:b663277688 . _:b665857080 . _:b662809729 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b665857618 . _:b668378692 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b663277690 . _:b665857081 . _:b663277760 . _:b663276280 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665459075 . _:b665857083 . _:b675160496 . _:b674016780 . _:b665459074 . _:b665794063 . _:b674348341 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b663277681 . _:b674348912 . _:b665857086 . _:b665793963 . _:b665857620 . _:b665857087 . _:b674016888 . _:b665857627 . _:b665121975 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b663277683 . _:b674016889 . _:b663277682 . _:b665793965 . _:b674016890 . _:b665857625 . _:b663277685 . _:b665857082 . _:b675160774 . _:b674016891 . _:b663277684 . _:b674016892 . _:b675160773 . _:b663277687 . _:b675160495 . _:b665793966 . _:b674016893 . _:b675160772 . _:b663277686 . _:b674016894 . _:b675160771 . _:b665971141 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665793968 . _:b662809826 . _:b674016895 . _:b675160770 . _:b674016880 . _:b665793952 . _:b666092965 . _:b674016881 . _:b665857602 . _:b674016882 . _:b675160871 . _:b674016883 . _:b665459072 . _:b674016884 . _:b665122366 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b674016885 . _:b665971128 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b668378587 . _:b674016886 . _:b665795281 . _:b674016887 . _:b665795280 . _:b666093380 . _:b666092939 . _:b665971285 . _:b665857611 . _:b674016873 . _:b674016874 . _:b674348923 . _:b674016875 . _:b674016263 . _:b665459084 . _:b674016876 . _:b665793719 . _:b674016868 . _:b674016877 . _:b668378579 . _:b674348925 . _:b674016878 . _:b674016260 . _:b674016879 . _:b674016267 . _:b665971293 . _:b674016864 . _:b674348926 . _:b674016865 . _:b674348803 . _:b668716791 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674016866 . _:b674016867 . _:b674348308 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665856990 . _:b674016869 . _:b665856989 . _:b674016870 . _:b674348804 . _:b665856988 . _:b674348805 . _:b674348806 . _:b668378605 . _:b665856987 . _:b674016856 . _:b665856986 . _:b674016857 . _:b665970735 . _:b662809889 . _:b674016858 . _:b665970720 . _:b674016859 . _:b674016860 . _:b665971272 . _:b674016861 . _:b665795322 . _:b674016862 . _:b665971278 . _:b674016863 . _:b665970725 . _:b674348802 . _:b674016848 . _:b665459361 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b674016849 . _:b665857634 . _:b662809897 . _:b665970712 . _:b665176918 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665857632 . _:b674016756 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b674016852 . _:b665857639 . _:b665121976 . _:b674016853 . _:b665970707 . _:b665122377 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b674016854 . _:b665970716 . _:b674016855 . _:b668379017 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665971384 . _:b665971391 . _:b665970711 . _:b665971387 . _:b665857641 . _:b674348286 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b674016843 . _:b674348811 . _:b665970705 . _:b665459067 . _:b665971389 . _:b665970713 . _:b674016844 . _:b665970706 . _:b665971387 . _:b665971391 . _:b665971384 . _:b674016838 . _:b665970708 . _:b665971325 . _:b665971382 . _:b674016833 . _:b665857145 . _:b665970719 . _:b665795396 . _:b674016834 . _:b665971299 . _:b665971380 . _:b674016842 . _:b665857138 . _:b674016835 . _:b666093119 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b674016836 . _:b665970698 . _:b665857148 . _:b665970690 . _:b665971380 . _:b674016837 . _:b665857149 . _:b665857150 . _:b665970692 . _:b674016847 . _:b665970702 . _:b665857136 . _:b666092957 . _:b665857144 . _:b665857562 . _:b663277638 . _:b665857137 . _:b662809857 . _:b665857139 . _:b665970697 . _:b674016470 . _:b665971304 . _:b663277634 . _:b678850106 . _:b665970691 . _:b665459127 . _:b665857142 . _:b665857143 . _:b665970701 . _:b665857151 . _:b675160976 . _:b665857128 . _:b665459130 . _:b674348850 . _:b665857129 . _:b665857121 . _:b674348851 . _:b665857130 . _:b665857536 . _:b665857131 . _:b665971158 . _:b665857132 . _:b665971216 . _:b665459134 . _:b665971159 . _:b665857133 . _:b665971223 . _:b665857541 . _:b665971350 . _:b674016476 . _:b665857134 . _:b665857135 . _:b665857120 . _:b674348852 . _:b674016449 . _:b666093034 . _:b668716431 "a two-dimensional continuant fiat boundary (surface) is a self-connected fiat surface whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [033-001])"@en . _:b665857122 . _:b674348807 . _:b665176992 . _:b674016455 . _:b665795748 . _:b665857125 . _:b665176865 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665857126 . _:b665795751 . _:b665857127 . _:b666093332 . _:b666093045 . _:b674348962 . _:b668378619 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665971160 . _:b663277759 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665795755 . _:b665795399 . _:b665857107 . _:b674016462 . _:b666093325 . _:b665795758 . _:b665857119 . _:b674016919 . _:b665857104 . _:b665857112 . _:b666093326 . _:b662810108 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665857593 . _:b662809966 . _:b675160830 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b674348370 . _:b674016502 . _:b674016317 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b665857108 . _:b674348371 . _:b665176385 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b674348368 . _:b665857598 . _:b674348369 . _:b674348374 . _:b665857109 . _:b674348375 . _:b674348372 . _:b674348373 . _:b674348378 . _:b674348379 . _:b665795264 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b674348376 . _:b674348377 . _:b665794048 . _:b674348382 . _:b674348383 . _:b674348380 . _:b674348381 . _:b674348354 . _:b674348355 . _:b674348352 . _:b665971303 . _:b674348353 . _:b674348358 . _:b678850012 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b674348359 . _:b674348356 . _:b674348357 . _:b674348362 . _:b674348363 . _:b665857090 . _:b674348360 . _:b674348361 . _:b665795392 . _:b674348366 . _:b674348367 . _:b674348364 . _:b674348365 . _:b674348402 . _:b665857100 . _:b665459243 . _:b674348403 . _:b674348400 . _:b674348401 . _:b678849978 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b674348406 . _:b665857101 . _:b674348407 . _:b665971255 . _:b674348404 . _:b674348405 . _:b674348410 . _:b674348411 . _:b674348408 . _:b674348409 . _:b674348414 . _:b665857103 . _:b674348415 . _:b674348412 . _:b665459137 . _:b674348413 . _:b665176470 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b674348386 . _:b665857088 . _:b674348387 . _:b674348384 . _:b674348385 . _:b674348390 . _:b674016481 . _:b665857089 . _:b674348391 . _:b674348388 . _:b674016906 . _:b674348389 . _:b674348394 . _:b674348395 . _:b674348392 . _:b662810039 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b674348393 . _:b674016899 . _:b674348398 . _:b674348399 . _:b674348396 . _:b678849923 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665459244 . _:b674348397 . _:b674348306 . _:b674348307 . _:b674348304 . _:b674016909 . _:b674348305 . _:b674348310 . _:b674348941 . _:b674348311 . _:b675160638 . _:b674348308 . _:b665122332 . _:b674348309 . _:b665122334 . _:b674348314 . _:b675160980 . _:b674348315 . _:b665857102 . _:b665122333 . _:b674348312 . _:b674348313 . _:b665122335 . _:b665122328 . _:b665794084 . _:b674348318 . _:b674348319 . _:b674348316 . _:b674016896 . _:b665122349 . _:b674348317 . _:b674348290 . _:b665857208 . _:b674348291 . _:b674348288 . _:b674016897 . _:b665122348 . _:b665122321 . _:b674348289 . _:b674016910 . _:b674016905 . _:b674348294 . _:b665857209 . _:b674348295 . _:b662809977 . _:b674016898 . _:b665122322 . _:b674348292 . _:b674348293 . _:b674348364 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b674348298 . _:b665857210 . _:b665122350 . _:b674348299 . _:b674348296 . _:b674348297 . _:b674348302 . _:b665857211 . _:b674348303 . _:b674348300 . _:b674016900 . _:b665122351 . _:b674348301 . _:b674348338 . _:b665857212 . _:b674348339 . _:b674348336 . _:b674016901 . _:b674348337 . _:b674348342 . _:b665857213 . _:b668378803 "1"^^ . _:b674348343 . _:b674348340 . _:b674348341 . _:b665122347 . _:b674348346 . _:b665857214 . _:b668378802 "1"^^ . _:b674348347 . _:b674348344 . _:b674348345 . _:b665122346 . _:b674348350 . _:b665857215 . _:b668378801 "1"^^ . _:b674348351 . _:b665971237 . _:b674348348 . _:b674348349 . _:b674348322 . _:b665857200 . _:b674348323 . _:b674348320 . _:b674348321 . _:b674348326 . _:b665857201 . _:b674348327 . _:b674348324 . _:b674348325 . _:b674348330 . _:b674016400 . _:b665122355 . _:b665857202 . _:b674348331 . _:b665971242 . _:b665122352 . _:b674348328 . _:b674348329 . _:b674348955 . _:b674348334 . _:b674016659 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665122354 . _:b665857203 . _:b674348335 . _:b674348332 . _:b674348333 . _:b674348498 . _:b665857204 . _:b674348499 . _:b674348496 . _:b674348497 . _:b674348502 . _:b665857205 . _:b668378795 "1"^^ . _:b665122353 . _:b674348503 . _:b663276378 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b674348500 . _:b674348501 . _:b674348506 . _:b678849476 . _:b665857206 . _:b668378794 "1"^^ . _:b674348507 . _:b674348504 . _:b674348505 . _:b674348510 . _:b665857207 . _:b674348511 . _:b665971245 . _:b674348508 . _:b665795423 . _:b674348509 . _:b674348482 . _:b665857192 . _:b674348483 . _:b674348480 . _:b674348481 . _:b674348486 . _:b678849473 . _:b674348487 . _:b674348484 . _:b674348485 . _:b665970872 . _:b674348490 . _:b674348491 . _:b674348488 . _:b674348489 . _:b674348494 . _:b665857195 . _:b674348495 . _:b665970865 . _:b674348492 . _:b674348493 . _:b665122367 . _:b674348530 . _:b674016414 . _:b665857196 . _:b674348531 . _:b674348528 . _:b674348529 . _:b674348534 . _:b665857197 . _:b674348535 . _:b674348532 . _:b674348533 . _:b674348538 . _:b665857198 . _:b674348539 . _:b665857190 . _:b674348948 . _:b674348536 . _:b674348537 . _:b674348542 . _:b665857199 . _:b674348543 . _:b662810127 . _:b674348540 . _:b674348541 . _:b665122362 . _:b674348514 . _:b665857184 . _:b674348515 . _:b665970870 . _:b674348512 . _:b665122307 . _:b674348513 . _:b674348518 . _:b665857185 . _:b665122306 . _:b674348519 . _:b665176804 . _:b674348516 . _:b665122361 . _:b674348517 . _:b665970864 . _:b674348522 . _:b665857186 . _:b674348523 . _:b674348520 . _:b674348521 . _:b665122360 . _:b665122305 . _:b674348526 . _:b665122311 . _:b665857187 . _:b665122304 . _:b674348527 . _:b674348524 . _:b662809870 . _:b674348525 . _:b665970866 . _:b674348434 . _:b665857188 . _:b668378788 "1"^^ . _:b665122366 . _:b674348435 . _:b674348432 . _:b665122363 . _:b674348433 . _:b665459283 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b674348438 . _:b665970867 . _:b665857189 . _:b674348439 . _:b665970875 . _:b674348436 . _:b665122310 . _:b674348437 . _:b665122364 . _:b674348442 . _:b665122308 . _:b674348443 . _:b674348440 . _:b674348441 . _:b665795280 . _:b665122309 . _:b674348446 . _:b665970772 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665857191 . _:b665122365 . _:b674348447 . _:b674348444 . _:b665122318 . _:b674348445 . _:b674348418 . _:b665857176 . _:b665122356 . _:b674348419 . _:b674348416 . _:b665122319 . _:b674348417 . _:b674348931 . _:b665795281 . _:b665970871 . _:b674016393 . _:b674348422 . _:b665857177 . _:b674348423 . _:b662810177 . _:b665857169 . _:b674348420 . _:b665971395 . _:b665793713 . _:b674348928 . _:b674348421 . _:b666092674 . _:b674348426 . _:b665122316 . _:b665857178 . _:b668378782 "1"^^ . _:b665122317 . _:b674348427 . _:b674348424 . _:b674348425 . _:b668716728 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b666092951 . _:b674348430 . _:b665857179 . _:b665122359 . _:b674348431 . _:b674348428 . _:b666092684 . _:b674348429 . _:b665970790 . _:b665122312 . _:b674348466 . _:b665857180 . _:b665122314 . _:b674348467 . _:b674348464 . _:b674348465 . _:b665122358 . _:b665970791 . _:b674348470 . _:b665857181 . _:b665122315 . _:b674348471 . _:b665176336 . _:b674348468 . _:b674348932 . _:b665795318 . _:b665122357 . _:b674348469 . _:b674348474 . _:b665857182 . _:b674348933 . _:b674348475 . _:b674348472 . _:b674348473 . _:b665970789 . _:b674348934 . _:b665122313 . _:b674348478 . _:b665857183 . _:b674348479 . _:b665970853 . _:b665971397 . _:b665122327 . _:b674348476 . _:b674348477 . _:b674348450 . _:b666092766 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b674348451 . _:b674348448 . _:b674348449 . _:b665122344 . _:b665970863 . _:b674348454 . _:b674348455 . _:b674348452 . _:b674348453 . _:b665122325 . _:b674348458 . _:b674016432 . _:b665122345 . _:b665857170 . _:b674348459 . _:b665971402 . _:b674348456 . _:b674348457 . _:b665970849 . _:b674348462 . _:b665857171 . _:b674348463 . _:b674348460 . _:b674348461 . _:b665122323 . _:b665970850 . _:b674016674 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665970851 . _:b665122324 . _:b665970852 . _:b665857174 . _:b665857175 . _:b665122326 . _:b665122320 . _:b665122339 . _:b665971404 . _:b665458991 "(forall (x) (if (Site x) (ImmaterialEntity x))) // axiom label in BFO2 CLIF: [034-002] " . _:b665122337 . _:b665122330 . _:b665122338 . _:b665122331 . _:b674348718 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665970843 . _:b665857165 . _:b665795296 . _:b665122341 . _:b665122329 . _:b665122343 . _:b665122336 . _:b665970844 . _:b665857166 . _:b665176899 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665122342 . _:b674016419 . _:b665122340 . _:b665176413 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b665459119 . _:b665970846 . _:b665857152 . _:b665857160 . _:b665795298 . _:b665795299 . _:b665857155 . _:b665795295 . _:b665795292 . _:b666092846 . _:b674016422 . _:b665857156 . _:b665857164 . _:b665795294 . _:b665795297 . _:b665857157 . _:b665857158 . _:b665970806 . _:b665857159 . _:b665970845 . _:b674016301 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b678849643 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665970805 . _:b665970810 . _:b665970811 . _:b675161000 . _:b668379223 . _:b665795322 . _:b665793470 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b668378993 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b668378648 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665793697 . _:b662810226 . _:b674016285 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665122376 . _:b665970787 . _:b665122377 . _:b665970786 . _:b674348722 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b674348242 . _:b674348243 . _:b665970785 . _:b674348240 . _:b674348241 . _:b674348246 . _:b674348247 . _:b674348832 . _:b674348244 . _:b674348245 . _:b674348250 . _:b665795314 . _:b674348251 . _:b674348248 . _:b674348249 . _:b665122375 . _:b674348254 . _:b674348255 . _:b665857279 . _:b665793541 "(forall (x) (if (ObjectAggregate x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y z) (and (Object y) (Object z) (memberPartOfAt y x t) (memberPartOfAt z x t) (not (= y z)))))) (not (exists (w t_1) (and (memberPartOfAt w x t_1) (not (Object w)))))))) // axiom label in BFO2 CLIF: [025-004] " . _:b674348252 . _:b674348253 . _:b674348226 . _:b674348227 . _:b665795315 . _:b674348230 . _:b674348231 . _:b665970788 . _:b665795316 . _:b674348228 . _:b674348229 . _:b674348234 . _:b674348235 . _:b674348839 . _:b665795317 . _:b674348232 . _:b674348233 . _:b665970937 . _:b674348238 . _:b674348239 . _:b674348236 . _:b665122373 . _:b674348237 . _:b665970938 . _:b665459158 . _:b674348274 . _:b674348275 . _:b674348272 . _:b665970792 . _:b674348273 . _:b665970939 . _:b674348278 . _:b674348279 . _:b674348276 . _:b665970793 . _:b674348277 . _:b662810214 . _:b665970940 . _:b674348282 . _:b665970932 . _:b674348283 . _:b674348280 . _:b665122374 . _:b665795632 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b674348281 . _:b665970941 . _:b674348286 . _:b674348287 . _:b674348284 . _:b674348285 . _:b665970942 . _:b674348258 . _:b674348259 . _:b674348256 . _:b674348257 . _:b674348319 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665122370 . _:b665970943 . _:b674348262 . _:b674348263 . _:b674348260 . _:b674348261 . _:b665970928 . _:b665122369 . _:b674348266 . _:b674348267 . _:b665795313 . _:b674348264 . _:b674348265 . _:b665970929 . _:b665122380 . _:b665122372 . _:b665122368 . _:b674348270 . _:b674348271 . _:b674348268 . _:b674348269 . _:b674348586 . _:b665857371 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665122371 . _:b675160772 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665122364 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665459140 . _:b665970933 . _:b665970934 . _:b665176833 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674348929 . _:b665971356 . _:b666092914 . _:b674348579 . _:b662810218 . _:b665122379 . _:b665970920 . _:b666092915 . _:b665122378 . _:b665970921 . _:b666092912 . _:b665177015 . _:b663277748 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665970922 . _:b665970914 . _:b674348824 . _:b666093301 . _:b674348826 . _:b665857232 . _:b666092925 . _:b665970912 . _:b665176768 . _:b665970913 . _:b665793894 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b674348882 . _:b674348883 . _:b675160719 . _:b674348880 . _:b674348881 . _:b665970915 . _:b674348886 . _:b665970923 . _:b674348887 . _:b674348884 . _:b662810142 . _:b674348885 . _:b674348890 . _:b674348891 . _:b665857241 . _:b674348888 . _:b674348889 . _:b674348894 . _:b674348895 . _:b674348892 . _:b665459131 . _:b674348893 . _:b665970918 . _:b674348866 . _:b674348867 . _:b668716802 . _:b665793501 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674348864 . _:b663277949 . _:b674348865 . _:b665970919 . _:b674348870 . _:b663277950 . _:b674348871 . _:b665970927 . _:b674348868 . _:b674348869 . _:b674348874 . _:b674348875 . _:b662809846 . _:b674348872 . _:b663277951 . _:b674348873 . _:b665970905 . _:b674348878 . _:b674348879 . _:b674348593 . _:b662809847 . _:b674348876 . _:b674348877 . _:b665970906 . _:b675160745 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b674348914 . _:b665857228 . _:b674348915 . _:b662809844 . _:b674348912 . _:b674348913 . _:b663277945 . _:b674348918 . _:b674348919 . _:b665857221 . _:b674348916 . _:b665971383 . _:b663277944 . _:b674348917 . _:b665970908 . _:b668716801 . _:b674348922 . _:b663277947 . _:b674348923 . _:b674348920 . _:b674348921 . _:b674348926 . _:b668716800 . _:b665857231 . _:b674348683 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b674348927 . _:b665970901 . _:b665971381 . _:b668716803 . _:b674348924 . _:b663277946 . _:b674348925 . _:b674348898 . _:b665857216 . _:b674348899 . _:b674348896 . _:b674348897 . _:b665970911 . _:b674348902 . _:b665857217 . _:b674348903 . _:b674348900 . _:b674348901 . _:b665970896 . _:b675160500 . _:b674348906 . _:b665857218 . _:b674348907 . _:b663277943 . _:b674348904 . _:b674348905 . _:b665970897 . _:b674348910 . _:b665857219 . _:b674348911 . _:b663277940 . _:b665857227 . _:b674348908 . _:b663277942 . _:b674348909 . _:b665970898 . _:b674348818 . _:b665857220 . _:b674348819 . _:b674348816 . _:b668716804 . _:b663277937 . _:b674348817 . _:b665970899 . _:b674348822 . _:b665970907 . _:b674348823 . _:b674348820 . _:b674348821 . _:b665970900 . _:b675160521 . _:b674348826 . _:b665857222 . _:b674348827 . _:b665971390 . _:b674348824 . _:b663277939 . _:b674348825 . _:b662810121 . _:b674348830 . _:b675160526 . _:b665857223 . _:b674348831 . _:b663277936 . _:b674348828 . _:b674348829 . _:b663277938 . _:b674348802 . _:b665970902 . _:b674348803 . _:b665971388 . _:b674348800 . _:b674348801 . _:b674348806 . _:b674348807 . _:b674348804 . _:b663277932 . _:b674348805 . _:b665970888 . _:b674348810 . _:b674348811 . _:b668716805 . _:b674348808 . _:b663277935 . _:b674348809 . _:b665970889 . _:b674348814 . _:b674348815 . _:b665971361 . _:b674348812 . _:b665794085 . _:b674348813 . _:b665458932 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b674348850 . _:b665970890 . _:b663277933 . _:b674348851 . _:b674348848 . _:b674348849 . _:b665970891 . _:b674348854 . _:b674348855 . _:b668716806 . _:b674348852 . _:b663277928 . _:b674348853 . _:b665970892 . _:b674348858 . _:b665970884 . _:b674348859 . _:b674348856 . _:b668716807 . _:b674348857 . _:b663277931 . _:b674348862 . _:b665970893 . _:b674348863 . _:b665971365 . _:b674348860 . _:b663277930 . _:b674348861 . _:b665970894 . _:b674348834 . _:b663277929 . _:b674348835 . _:b674348832 . _:b674348833 . _:b665970895 . _:b666093379 . _:b674348838 . _:b674348839 . _:b674348836 . _:b662810183 . _:b674348837 . _:b674348842 . _:b665459146 . _:b674348843 . _:b674348840 . _:b674348841 . _:b665795656 . _:b674348846 . _:b674348847 . _:b674348844 . _:b674348845 . _:b665970882 . _:b666093379 . _:b665970883 . _:b674348572 . _:b665971374 . _:b666093377 . _:b665970885 . _:b662809657 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b665971026 . _:b663276480 . . _:b663276483 . _:b665971028 . _:b666093240 . _:b665971035 . _:b674348911 . _:b663276487 . _:b663277747 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665971033 . _:b662809872 . _:b674348946 . _:b674016290 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b674348947 . _:b674348944 . _:b674348945 . _:b674348950 . _:b665177112 . _:b674348951 . _:b663276490 . _:b674348948 . _:b674348949 . _:b674348954 . _:b674348955 . _:b666092950 . _:b665971038 . _:b674348952 . _:b674348953 . _:b674348958 . _:b674348959 . _:b674348956 . _:b674348957 . _:b674348930 . _:b665176477 . _:b674348931 . _:b674348928 . _:b674348929 . _:b665795228 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b674348934 . _:b674348935 . _:b674348932 . _:b674348933 . _:b674348938 . _:b665177119 . _:b674348939 . _:b674348936 . _:b674348937 . _:b674348942 . _:b674348943 . _:b674348940 . _:b674348941 . _:b665177105 . _:b665121997 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b665971014 . _:b665795423 . _:b674348962 . _:b674348963 . _:b665971012 . _:b663277882 . _:b674348960 . _:b674348961 . _:b665795113 . _:b675160906 . _:b665971019 . _:b663276506 . _:b665795440 . _:b674348626 . _:b674348627 . _:b674348624 . _:b674348625 . _:b674348630 . _:b674348631 . _:b674348628 . _:b674348629 . _:b674348634 . _:b674348635 . _:b674348632 . _:b674348633 . _:b663276513 . _:b674348638 . _:b666092676 . _:b674348639 . _:b665971021 . _:b674348636 . _:b674348637 . _:b674348610 . _:b674348611 . _:b674348608 . _:b674348609 . _:b674348614 . _:b674348615 . _:b674348612 . _:b674348613 . _:b662810172 . _:b674348618 . _:b674348619 . _:b674348616 . _:b674348617 . _:b675160437 "a quality is a specifically dependent continuant that, in contrast to roles and dispositions, does not require any further process in order to be realized. (axiom label in BFO2 Reference: [055-001])"@en . _:b674348622 . _:b674348623 . _:b665795438 . _:b674348620 . _:b674348621 . _:b674348658 . _:b674348659 . _:b674348656 . _:b674348657 . _:b674348662 . _:b674348663 . _:b674348660 . _:b674348661 . _:b674348666 . _:b674348667 . _:b674348875 . _:b665971062 . _:b674348664 . _:b674348665 . _:b674348670 . _:b674348671 . _:b674348668 . _:b674348669 . _:b674348642 . _:b674348643 . _:b668378876 . _:b674348640 . _:b674348641 . _:b674348646 . _:b674348647 . _:b674348644 . _:b674348645 . _:b674348650 . _:b674348651 . _:b665458921 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674348648 . _:b674348649 . _:b674348654 . _:b674348655 . _:b674348652 . _:b674348653 . _:b674348562 . _:b674348563 . _:b665971064 . _:b674016709 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665793898 . _:b674348560 . _:b674348561 . _:b674348566 . _:b666092694 . _:b674348567 . _:b674348564 . _:b665793899 . _:b674348565 . _:b674348570 . _:b674348571 . _:b668379203 . _:b674348568 . _:b674348569 . _:b674348574 . _:b674348575 . _:b674348572 . _:b665793897 . _:b665857299 . _:b674348573 . _:b674348546 . _:b674348547 . _:b665971068 . _:b674348544 . _:b674348545 . _:b674348550 . _:b666092690 . _:b674348551 . _:b674348548 . _:b674348549 . _:b674348554 . _:b665176511 . _:b674348555 . _:b674348552 . _:b674348553 . _:b668379097 _:b668379100 . _:b665856961 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b674348558 . _:b665176510 . _:b674348559 . _:b674348556 . _:b674348557 . _:b674348594 . _:b674348595 . _:b665971040 . _:b674348592 . _:b674348593 . _:b674348598 . _:b674348599 . _:b674348596 . _:b665795434 . _:b665857301 . _:b674348597 . _:b674348602 . _:b674348603 . _:b674348600 . _:b674348601 . _:b674348606 . . _:b674348607 . _:b674348604 . _:b674348605 . _:b674348349 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b674348578 . _:b662810000 . _:b674348579 . _:b665177024 . _:b665971044 . _:b674348576 . _:b674348577 . _:b665176854 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b674348582 . _:b674348583 . _:b665795437 . _:b665971051 . _:b674348580 . _:b665857305 . _:b674348581 . _:b674348586 . _:b668379100 _:b668379099 . _:b674348587 . _:b662810196 . _:b665795436 . _:b674348584 . _:b674348585 . _:b674348590 . _:b665795439 . _:b674348591 . _:b674348588 . _:b674348589 . _:b675160631 . _:b674348754 . _:b674348755 . _:b674348752 . _:b674348753 . . _:b674348758 . _:b674348759 . _:b665971055 . _:b674348756 . _:b665857309 . _:b674348757 . _:b674348762 . _:b665795442 . _:b674348763 . _:b668379099 _:b668379098 . _:b665793813 . _:b665176452 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b674348760 . _:b674348761 . _:b674348766 . _:b674348767 . _:b674348764 . . _:b674348765 . _:b674348738 . _:b674348739 . _:b662809608 . _:b674348736 . _:b674348737 . _:b665795443 . _:b674348742 . _:b674348743 . _:b674348740 . _:b665795444 . _:b665857281 . _:b674348741 . _:b674348746 . _:b674348747 . _:b665795445 . _:b662809622 . _:b674348744 . _:b674348745 . _:b674348750 . _:b674348751 . _:b674348748 . _:b674348749 . _:b674348786 . _:b674348787 . _:b674348784 . _:b674348785 . _:b674348790 . _:b665176480 . _:b674348791 . _:b665459521 . _:b674348788 . _:b674348789 . _:b674348794 . _:b674348795 . _:b674348792 . _:b674348793 . _:b674348798 . _:b674348799 . _:b668379241 . _:b665793801 . _:b674348796 . _:b674348797 . _:b674348688 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b674348770 . . _:b674348771 . _:b674348768 . _:b674348769 . _:b674348774 . _:b674348775 . _:b665793816 . _:b674348772 . _:b665795694 . _:b674348773 . _:b674348778 . _:b678849527 . _:b674348779 . _:b674348776 . _:b665857288 . _:b674348777 . _:b674348782 . _:b665177126 . _:b674348783 . _:b674348780 . _:b674348781 . _:b674348690 . _:b674348691 . _:b674348688 . _:b674348689 . _:b675160477 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b674348694 . _:b674348695 . _:b674348692 . _:b674348693 . _:b663276430 . _:b665176765 . _:b674348698 . _:b674348699 . _:b668379235 . _:b662809626 . _:b674348696 . _:b665857292 . _:b674348697 . _:b674348702 . _:b678849528 . _:b674348703 . _:b668379234 . _:b666093358 . _:b674348700 . _:b674348701 . _:b674348674 . _:b674348675 . _:b674348672 . _:b674348673 . _:b674348678 . _:b674348679 . _:b668379102 "1"^^ . _:b674348676 . _:b674348677 . _:b666093356 . _:b674348682 . _:b668379132 _:b668379131 . _:b666093354 . _:b674348683 . _:b668379133 _:b668379132 . _:b668379122 _:b668379126 . _:b668379103 "1"^^ . _:b674348680 . _:b674348681 . _:b668378557 . _:b674348686 . _:b674348687 . _:b666093354 . _:b674348684 . _:b678849615 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b674348685 . _:b674348722 . _:b674348723 . _:b674348720 . _:b674348721 . _:b674348726 . _:b674348727 . _:b674348724 . _:b674348725 . _:b674348730 . _:b666093358 . _:b674348731 . _:b665793822 . _:b674348728 . _:b662810257 . _:b674348729 . _:b674348734 . _:b674348735 . _:b668379129 _:b668379128 . _:b674348732 . _:b674348733 . _:b663276511 . _:b674348706 . _:b665970759 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b674348707 . _:b674348704 . _:b668379130 _:b668379129 . _:b674348705 . _:b668379131 _:b668379130 . _:b674348710 . _:b665795268 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b674348711 . _:b674348708 . _:b668379127 _:b668379133 . _:b668379118 _:b668379119 . _:b662810258 . _:b674348709 . _:b674348714 . _:b674348715 . _:b674348712 . _:b668379125 _:b668379123 . _:b674348713 . _:b674348718 . _:b674348719 . _:b674348716 . _:b668379126 _:b668379125 . _:b674348717 . _:b665176521 . _:b668379120 _:b668379118 . _:b663277953 . _:b665176520 . _:b663277954 . _:b663277952 . _:b678849591 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665857315 . _:b666093368 . _:b668379061 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665176525 . _:b666093375 . _:b665970956 . _:b665857090 . _:b665857381 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b666093372 . _:b668379121 _:b668379120 . _:b665176421 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b663276451 . _:b665857091 . _:b665857088 . _:b668379113 _:b668379112 . _:b666093370 . _:b665857089 . _:b666093372 . _:b666093069 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b668379114 _:b668379113 . _:b665970992 . _:b665857094 . _:b668379112 _:b668379111 . _:b666093375 . _:b666093368 . _:b668379105 _:b668379114 . _:b665857095 . _:b665795504 . _:b665857092 . _:b666093361 . _:b665857323 . _:b665857093 . _:b666092822 . _:b665970996 . _:b665857098 . _:b665176516 . _:b663276484 . _:b665857099 . _:b665176519 . _:b666093365 . _:b665857320 . _:b668379107 _:b668379106 . _:b665857096 . _:b666093365 . _:b665176518 . _:b665857327 . _:b665857097 . _:b666092843 . _:b666093363 . _:b665857102 . _:b665795362 . _:b665795363 . _:b668379123 _:b668379124 . _:b668379111 _:b668379110 . _:b665857103 . _:b666093361 . _:b665857100 . _:b665971005 . _:b668379110 _:b668379109 . _:b665857101 . _:b668379117 _:b668379121 . _:b668379108 _:b668379107 . _:b665795361 . _:b668379109 _:b668379108 . _:b662810264 . _:b665857106 . _:b668378942 _:b668378948 . _:b665857107 . _:b665857104 . _:b665857105 . _:b668378922 _:b668378921 . _:b663276436 . _:b665857110 . _:b665857111 . _:b668378924 _:b668378923 . _:b665857492 . _:b663276438 . _:b665857108 . _:b668378927 _:b668378926 . _:b665857109 . _:b668378956 . _:b665857114 . _:b665970987 . _:b675160459 . _:b665857115 . _:b662810009 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b668379191 . _:b665857112 . _:b668378914 _:b668378916 . _:b665857113 . _:b663276444 . _:b665857118 . _:b668378914 _:b668378915 . _:b665857119 . _:b668378916 _:b668378917 . _:b665857116 . _:b668378925 _:b668378928 . _:b665857117 . _:b668378948 . _:b665177063 . _:b668378918 _:b668378919 . _:b665857474 . _:b665857122 . _:b665857123 . _:b675160865 . _:b665857120 . _:b675160864 . _:b665857479 . _:b665857121 . _:b665857126 . _:b666092848 . _:b665857127 . _:b668379195 . _:b665971108 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b665857124 . _:b668378938 _:b668378937 . _:b665857125 . _:b665794073 . _:b668378932 _:b668378935 . _:b665857482 . _:b668378939 _:b668378938 . _:b665857130 . _:b668378935 _:b668378934 . _:b665857131 . _:b665459410 . _:b668378974 . _:b665857128 . _:b668378928 _:b668378927 . _:b668378936 _:b668378939 . _:b665857129 . _:b668378934 _:b668378933 . _:b665459436 . _:b665857134 . _:b665857135 . _:b665459413 . _:b668378943 _:b668378944 . _:b665857132 . _:b665459412 . _:b665459399 . _:b665459415 . _:b665857133 . _:b665857522 . _:b665857138 . _:b665459398 . _:b665857139 . _:b662810026 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b668378882 _:b668378881 . _:b668378883 _:b668378882 . _:b665857136 . _:b665122345 . _:b665857137 . _:b668716403 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665857142 . _:b665122310 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665793478 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b668378881 _:b668378880 . _:b665857143 . _:b674348751 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665857140 . _:b668378886 _:b668378885 . _:b665857141 . _:b668378884 _:b668378883 . _:b668378885 _:b668378884 . _:b665857530 . _:b665857146 . _:b665857147 . _:b665857144 . _:b668378889 _:b668378888 . _:b674016340 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b668378895 _:b668378896 . _:b665857145 . _:b665459440 . _:b668378890 _:b668378889 . _:b668378891 _:b668378890 . _:b665857150 . _:b668378887 _:b668378891 . _:b665857151 . _:b668378893 _:b668378895 . _:b662810114 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665857148 . _:b665857149 . _:b665459416 . _:b665857026 . _:b665459417 . _:b668378893 _:b668378894 . _:b665857027 . _:b668378900 _:b668378901 . _:b665857024 . _:b665459433 . _:b665857025 . _:b665459434 . _:b668378902 _:b668378903 . _:b665459432 . _:b668378900 _:b668378902 . _:b665857030 . _:b665459431 . _:b665459435 . _:b665857509 . _:b665857031 . _:b665122478 . _:b668378897 _:b668378898 . _:b665857028 . _:b665857515 . _:b668378911 _:b668378912 . _:b665857029 . _:b665459414 . _:b666092746 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665795734 . _:b665857034 . _:b663276523 . _:b665857035 . . _:b665857032 . _:b665795739 . _:b665857033 . . _:b678849617 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665857038 . _:b668378909 _:b668378910 . _:b665857039 . _:b663276499 . _:b668378907 _:b668378908 . _:b665857036 . _:b665857037 . _:b666093286 . _:b668378907 _:b668378909 . . _:b665857042 . _:b668378904 _:b668378905 . _:b665458988 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665857043 . _:b665857040 . _:b665857041 . _:b666093282 . _:b665857046 . _:b665857047 . _:b665459504 . _:b665857044 . _:b665857045 . _:b666093294 . _:b665857050 . _:b665459507 . _:b665795564 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665857051 . _:b665459036 . _:b665857048 . _:b665857049 . _:b665857054 . _:b665857055 . _:b665857052 . _:b665795727 . _:b665857053 . _:b675160607 . _:b665857058 . _:b665857059 . _:b665971090 . _:b665857056 . _:b665176411 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665857057 . _:b665857062 . _:b663276487 . _:b665857063 . _:b665857060 . _:b666092932 . _:b665857061 . _:b665857066 . _:b662809640 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665857067 . _:b665857064 . _:b665857065 . _:b675160330 . _:b666093210 . _:b665857070 . _:b666092894 . _:b666093189 . _:b665857071 . _:b665857068 . _:b668378880 _:b668378879 . _:b665459497 . _:b675160795 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665857069 . _:b665857074 . _:b668378967 _:b668378966 . _:b665857075 . _:b665459500 . _:b665857072 . _:b665857073 . _:b665971072 . _:b662809876 . _:b665857078 . _:b668378965 _:b668378967 . _:b666092886 . _:b668378971 _:b668378974 . _:b675160697 . _:b665459013 "(iff (OneDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (OneDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [032-001] " . _:b668378961 _:b668378960 . _:b665857079 . _:b665971078 . _:b668379149 . _:b668378962 _:b668378961 . _:b665857460 . _:b665857076 . _:b675160574 . _:b665857077 . _:b665857082 . _:b675160611 . _:b665971083 . _:b665176405 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665857083 . _:b678849554 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665857080 . _:b665793759 . _:b665459232 . _:b665857081 . _:b666092665 . _:b668378963 _:b668378970 . _:b665793754 . _:b665793757 . _:b668378973 _:b668378972 . _:b665857086 . _:b665793757 . _:b665793754 . _:b668378974 _:b668378973 . _:b665857087 . _:b665971086 . _:b665857084 . _:b665795735 . _:b668378947 _:b668378943 . _:b668378969 _:b668378968 . _:b668378970 _:b668378964 . _:b665857085 . _:b665793752 . _:b668378970 _:b668378969 . _:b678849984 "(forall (x) (if (Function x) (Disposition x))) // axiom label in BFO2 CLIF: [064-001] " . _:b665857218 . _:b665793750 . _:b668378958 _:b668378959 . _:b665857219 . _:b665122425 . _:b668378946 _:b668378945 . _:b665795728 . _:b665857216 . _:b665857217 . _:b668378944 _:b668378946 . _:b665857222 . _:b668378964 _:b668378965 . _:b665857223 . _:b668378959 _:b668378962 . _:b668378953 _:b668378956 . _:b665857220 . _:b665857221 . _:b668378948 _:b668378947 . _:b665793750 . _:b665121958 . _:b665857226 . _:b668378951 _:b668378950 . _:b668378949 _:b668378952 . _:b665857227 . _:b665121955 . _:b668378955 _:b668378954 . _:b665793768 . _:b665793775 . _:b665793647 . _:b665121956 . _:b665857224 . _:b665793771 . _:b668379216 . _:b665857225 . _:b665122420 . _:b665121957 . _:b663277652 "(forall (x) (if (Material Entity x) (exists (t) (and (TemporalRegion t) (existsAt x t))))) // axiom label in BFO2 CLIF: [011-002] " . _:b665121954 . _:b665857230 . _:b668378952 _:b668378951 . _:b665793773 . _:b662809597 . _:b665857453 . _:b665857231 . _:b668378956 _:b668378955 . _:b665793771 . _:b665857228 . _:b665793775 . _:b665793768 . _:b665857229 . _:b665857592 . _:b665857234 . _:b665122427 . _:b665793761 . _:b665857105 . _:b665857235 . _:b665793766 . _:b674348400 . _:b665857232 . _:b665793764 . _:b665121962 . _:b665857233 . _:b665122428 . _:b674348401 . _:b665857110 . _:b665857238 . _:b665857597 . _:b668378839 _:b668378838 . _:b665857239 . _:b665793764 . _:b665857590 . _:b665121960 . _:b662809758 . _:b665121961 . _:b665857236 . _:b665857237 . _:b665857584 . _:b665793761 . _:b665857242 . _:b665857585 . _:b665857113 . _:b666093320 . _:b665857243 . _:b665121930 . _:b665857586 . _:b665459541 . _:b668378831 _:b668378832 . _:b665857240 . _:b665121931 . _:b665857587 . _:b665121923 . _:b662809670 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665857241 . _:b665857588 . _:b675161007 . _:b665857596 . _:b665857246 . _:b665857589 . _:b665857247 . _:b668378840 _:b668378837 . _:b668378836 _:b668378840 . _:b665857244 . _:b666093098 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665857591 . _:b665857091 . _:b665857245 . _:b665857576 . _:b665121921 . _:b665121980 . _:b665857250 . _:b668378840 _:b668378839 . _:b665857577 . _:b665121920 . _:b665121981 . _:b665857251 . _:b665857578 . _:b668378819 _:b668378818 . _:b665857248 . _:b665121922 . _:b665971257 . _:b665857579 . _:b665121983 . _:b665121977 . _:b668378819 _:b668378816 . _:b665857249 . _:b665971258 . _:b665857580 . _:b665121982 . _:b665857254 . _:b668378818 _:b668378817 . _:b665971259 . _:b665857581 . _:b665121979 . _:b665857255 . _:b665971260 . _:b665857582 . _:b665121978 . _:b665857252 . _:b665971261 . _:b665857583 . _:b665971253 . _:b665857253 . _:b665971262 . _:b665857568 . _:b665857258 . _:b665971263 . _:b665857569 . _:b665857259 . _:b665857570 . _:b665857256 . _:b665121976 . _:b665857571 . _:b665121925 . _:b665857257 . _:b665857572 . _:b675160995 . _:b665857262 . _:b665971251 . _:b665857573 . _:b674016744 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665857263 . _:b665121926 . _:b665971252 . _:b665857574 . _:b665121924 . _:b665857260 . _:b674348415 . _:b665121927 . _:b665857575 . _:b674348412 . _:b665857261 . _:b665971254 . _:b665857560 . _:b674348414 . _:b665121971 . _:b665121928 . _:b665857266 . _:b665857561 . _:b665121970 . _:b665857267 . _:b668378876 _:b668378875 . _:b665971240 . _:b665459558 . _:b665857264 . _:b665971241 . _:b665121929 . _:b665121934 . _:b665121932 . _:b668378867 _:b668378872 . _:b665857265 . _:b665857564 . _:b665121972 . _:b665121935 . _:b665971234 . _:b665121968 . _:b665857270 . _:b665857565 . _:b665121973 . _:b665121975 . _:b665857271 . _:b665459556 . _:b665857566 . _:b668378875 _:b668378874 . _:b665857140 . _:b665121974 . _:b665857268 . _:b665121933 . _:b665857567 . _:b665121969 . _:b665857559 . _:b665121938 . _:b665857269 . _:b665857552 . _:b665121963 . _:b665857146 . _:b665121967 . _:b665857274 . _:b668378872 _:b668378871 . _:b665121939 . _:b665857553 . _:b665971239 . _:b665121936 . _:b668378871 _:b668378870 . _:b665857275 . _:b665121942 . _:b665971232 . _:b665857554 . _:b665121937 . _:b668378873 _:b668378876 . _:b665857272 . _:b665121943 . _:b665971233 . _:b665857555 . _:b665857273 . _:b668378870 _:b668378869 . _:b665459555 . _:b665857556 . _:b665459552 . _:b665121941 . _:b665121965 . _:b668378871 _:b668378868 . _:b665857278 . _:b665971235 . _:b665857557 . _:b665459554 . _:b665121964 . _:b665121966 . _:b665459557 . _:b665121940 . _:b665857279 . _:b665971236 . _:b665857558 . _:b665971244 . _:b665857276 . _:b665121950 . _:b665121952 . _:b665857123 . _:b665121959 . _:b665857277 . _:b665795247 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665857544 . _:b674016652 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665121951 . _:b662809808 . _:b665121953 . _:b665459510 . _:b665857154 . _:b665857545 . _:b665857155 . _:b665857546 . _:b665857538 . _:b665121949 . _:b665795195 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665857152 . _:b665857547 . _:b665121948 . _:b665459561 . _:b665857153 . _:b665857548 . _:b665459562 . _:b665121946 . _:b665459560 . _:b665857158 . _:b665459563 . _:b665121947 . _:b665857549 . _:b665857159 . _:b665121944 . _:b665857550 . _:b665857156 . _:b666092914 . _:b665857551 . _:b675160632 . _:b665121945 . _:b665857157 . _:b665971222 . _:b665857162 . _:b665857163 . _:b665122008 . _:b665857160 . _:b665857539 . _:b665857161 . _:b665971218 . _:b665857540 . _:b665857166 . _:b665971219 . _:b665122006 . _:b665857167 . _:b675160372 . _:b665971220 . _:b665857164 . _:b665971221 . _:b665857543 . _:b674016305 "(forall (x y) (if (and (TemporalRegion x) (occurrentPartOf y x)) (TemporalRegion y))) // axiom label in BFO2 CLIF: [101-001] " . _:b665857165 . _:b665857170 . _:b665857171 . _:b665857168 . _:b665122005 . _:b665857169 . _:b674348817 . _:b666093085 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665122004 . _:b665857174 . _:b674348816 . _:b665122007 . _:b666092864 . _:b665857175 . _:b674348819 . _:b665857061 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665971212 . _:b668378767 _:b668378770 . _:b668378783 _:b668378784 . _:b665857172 . _:b674348818 . _:b665971213 . _:b663276341 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b668378756 _:b668378754 . _:b665971022 . _:b665857173 . _:b668378757 _:b668378756 . _:b665121995 . _:b665857178 . _:b665971215 . _:b665857179 . _:b674348823 . _:b665971020 . _:b665971018 . _:b665121992 . _:b665121993 . _:b665857176 . _:b668378761 _:b668378760 . _:b665121994 . _:b665971018 . _:b665857177 . _:b674348809 . _:b668378758 _:b668378764 . _:b668378762 _:b668378761 . _:b668378763 _:b668378762 . _:b665857182 . _:b674348808 . _:b668378760 _:b668378759 . _:b665857183 . _:b668378764 _:b668378763 . _:b665121996 . _:b665971022 . _:b665857180 . _:b665121997 . _:b665459358 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665857181 . _:b665971214 . _:b665971015 . _:b665857186 . _:b668378753 _:b668378757 . _:b665971011 . _:b665857187 . _:b665971320 . _:b665121990 . _:b668378754 _:b668378755 . _:b665857184 . _:b674348814 . _:b665971321 . _:b665971013 . _:b668378878 _:b668378886 . _:b665121991 . _:b665857185 . _:b665971011 . _:b665857190 . _:b665971323 . _:b665971015 . _:b665121989 . _:b668378769 _:b668378768 . _:b665857191 . _:b665971324 . _:b665121988 . _:b668378770 _:b668378769 . _:b665857188 . _:b665971095 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665121987 . _:b665970709 . _:b665857189 . _:b675160726 . _:b665121985 . _:b665971032 . _:b665857194 . _:b665971327 . _:b665971036 . _:b665857195 . _:b665971312 . _:b665970714 . _:b665857192 . _:b665121986 . _:b665971313 . _:b663277929 . _:b665971117 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665857193 . _:b665971314 . _:b665971034 . _:b665121984 . _:b665971322 . _:b665971036 . _:b665857198 . _:b665971315 . _:b665971032 . _:b665857199 . _:b665971316 . _:b665793500 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b663277933 . _:b665857196 . _:b665459479 . _:b665971317 . _:b668716433 . _:b665971025 . _:b663277933 . _:b665970717 . _:b665857197 . _:b665971318 . _:b674348482 . _:b665857202 . _:b665971319 . _:b663277931 . _:b674348483 . _:b665857203 . _:b665971296 . _:b674016308 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b668378792 _:b668378791 . _:b668379218 . _:b668378815 _:b668378819 . _:b665971029 . _:b663277929 . _:b665857200 . _:b668378793 _:b668378792 . _:b665971029 . _:b665459480 . _:b665857201 . _:b674348481 . _:b665121999 . _:b665971306 . _:b665459481 . _:b665121998 . _:b665857206 . _:b668378790 _:b668378793 . _:b665971307 . _:b665971027 . _:b665970695 . _:b665857207 . _:b665971308 . _:b668716434 . _:b665971025 . _:b665857204 . _:b675160729 . _:b675160714 . _:b668716432 . _:b665459495 . _:b665971309 . _:b665971301 . _:b668378799 _:b668378798 . _:b665970693 . _:b668716435 . _:b665857205 . _:b665971310 . _:b674348314 "Every temporal region t is such that t occupies_temporal_region t. (axiom label in BFO2 Reference: [119-002])"@en . _:b665857210 . _:b665971311 . _:b665970699 . _:b668378784 _:b668378787 . _:b665122001 . _:b665857211 . _:b668378787 _:b668378786 . _:b665857208 . _:b665122000 . _:b665971297 . _:b663277950 . _:b665857209 . _:b665122011 . _:b665122003 . _:b665971298 . _:b665857214 . _:b668378786 _:b668378785 . _:b665122002 . _:b665970703 . _:b663277947 . _:b665857215 . _:b665857084 . _:b665857212 . _:b665122009 . _:b668378797 _:b668378800 . _:b665857213 . _:b665971302 . _:b663277947 . _:b668716424 . _:b665857346 . _:b665971303 . . _:b675160467 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665857347 . _:b675160735 . _:b665971288 . _:b663277950 . _:b675160453 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b665122010 . _:b665857344 . _:b665971289 . _:b666092861 . _:b663277945 . _:b666092750 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b668378814 _:b668378811 . _:b665857345 . _:b668716431 . _:b665971290 . _:b663277936 . _:b663277943 . _:b668378813 _:b668378812 . _:b665857350 . _:b665971291 . _:b665971283 . _:b662810170 . _:b668378814 _:b668378813 . _:b663277940 . _:b665857351 . _:b668716419 . _:b665857601 . _:b665176524 . _:b665857348 . _:b668378796 _:b668378797 . _:b668378809 _:b668378808 . _:b668716418 . _:b665857349 . _:b665857600 . _:b663277938 . _:b663277940 . _:b665857354 . _:b668716421 . _:b668378808 _:b668378807 . _:b668716416 . _:b663277943 . _:b668378806 _:b668378809 . _:b663277936 . _:b665857355 . _:b665971280 . _:b668716422 . _:b665857352 . _:b668378800 _:b668378799 . _:b665971281 . _:b675160405 . _:b668716417 . _:b668716423 . _:b665857353 . _:b665971282 . _:b668378810 _:b668378814 . _:b668716420 . _:b675160404 . _:b665857358 . _:b666092856 . _:b665857610 . _:b675160403 . _:b678849737 . _:b665857359 . _:b665971284 . _:b665971292 . _:b675160402 . _:b665857356 . _:b668378752 _:b668378751 . _:b675160401 . _:b665857357 . _:b668378789 _:b668378790 . _:b665857362 . _:b665971287 . _:b665176397 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b674348246 . _:b665857233 . _:b678850141 . _:b665857363 . _:b666092863 . _:b674348245 . _:b665857360 . _:b674348894 . _:b668378751 _:b668378749 . _:b663277685 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b668716376 "All realizable dependent continuants have independent continuants that are not spatial regions as their bearers. (axiom label in BFO2 Reference: [060-002])"@en . _:b668378736 _:b668378745 . _:b665970721 . _:b665857361 . _:b665971274 . _:b665857366 . _:b665971275 . _:b665857367 . _:b668716427 . _:b665857364 . _:b665971277 . _:b668378745 _:b668378744 . _:b668716426 . _:b668716430 . _:b665857365 . _:b674348476 . _:b665971270 . _:b668716425 . _:b668716429 . _:b665857242 . _:b665857370 . _:b668378744 _:b668378743 . _:b668378743 _:b668378742 . _:b665857371 . _:b665971264 . _:b663276345 . _:b662810241 . _:b678850148 . _:b665857368 . _:b665971265 . _:b674348543 . _:b668378742 _:b668378741 . _:b665857369 . _:b668378740 _:b668378739 . _:b665971266 . _:b668378741 _:b668378740 . _:b665857374 . _:b665971267 . _:b668716428 . _:b665857375 . _:b674016843 . _:b665971268 . _:b665971276 . _:b668378738 _:b668378737 . _:b668378739 _:b668378738 . _:b665857372 . _:b665971269 . _:b665857373 . _:b665857378 . _:b665971271 . _:b665857379 . _:b668378749 _:b668378750 . _:b668716437 . _:b665857376 . _:b668378730 _:b668378729 . _:b668716436 . _:b665857377 . _:b668378731 _:b668378730 . _:b665857382 . _:b665970903 . _:b665857383 . _:b665857380 . _:b668716438 . _:b665857381 . _:b665793835 "A continuant is an entity that persists, endures, or continues to exist through time while maintaining its identity. (axiom label in BFO2 Reference: [008-002])"@en . _:b665857386 . _:b665176415 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665857387 . _:b665857224 . _:b665857384 . _:b665857385 . _:b674016375 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665857390 . _:b665857229 . _:b665857391 . _:b665857388 . _:b665970909 . _:b668378728 _:b668378731 . _:b665857389 . _:b674348417 . _:b665857394 . _:b665459442 . _:b665857265 . _:b665857395 . _:b665857392 . _:b678849557 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665857393 . _:b665857270 . _:b665857398 . _:b665971364 . _:b665857399 . _:b665970726 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665970886 . _:b665857396 . _:b665857275 . _:b665857397 . _:b678849949 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665176363 . _:b665857402 . _:b674348442 . _:b665857403 . _:b665971360 . _:b665857272 . _:b665857400 . _:b665857401 . _:b665971373 . _:b666093308 . _:b665857406 . _:b665459437 . _:b665971363 . _:b665857277 . _:b665857407 . _:b665176353 . _:b665857404 . _:b665857251 . _:b665857405 . _:b674348733 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665857282 . _:b663277880 . _:b665857249 . _:b674348434 . _:b665857283 . _:b665971352 . _:b663277881 . _:b665970930 . _:b665857280 . _:b663277882 . _:b665857281 . _:b665971354 . _:b663277883 . _:b674348435 . _:b668378748 _:b668378752 . _:b665857286 . _:b665459445 . _:b665971355 . _:b674348436 . _:b663277884 . _:b665970935 . _:b665176344 . _:b678850065 . _:b665857287 . _:b674348437 . _:b665459444 . _:b663277885 . _:b665857284 . _:b663276266 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665857285 . _:b674348901 . _:b663277887 . _:b665857258 . _:b665857290 . _:b665176339 . _:b665176348 . _:b668379164 . _:b665857291 . _:b665971344 . _:b665176950 . _:b665857256 . _:b665857288 . _:b665176341 . _:b665971345 . _:b665971353 . _:b665857263 . _:b665857289 . _:b665971346 . _:b665857294 . _:b665971347 . _:b663277876 . _:b665176336 . _:b665857295 . _:b674348720 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b674348433 . _:b665971348 . _:b663277877 . _:b665857292 . _:b665971349 . _:b665970715 . _:b663277878 . _:b665857293 . _:b665971350 . _:b663277879 . _:b665857298 . _:b665176347 . _:b665971351 . _:b663277864 . _:b665121897 . _:b665971359 . _:b665176340 . _:b665857299 . _:b665971336 . _:b663277865 . _:b668378861 . _:b665857296 . _:b665971337 . _:b662809631 . _:b663277866 . _:b665857297 . _:b665971338 . _:b665122008 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b678849535 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665857302 . _:b665971339 . _:b665121901 . _:b665857303 . _:b665176320 . _:b665971340 . _:b665857172 . _:b665857300 . _:b665971341 . _:b665176330 . _:b665857301 . _:b675160747 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665971342 . _:b665121909 . _:b665970916 . _:b668378663 . _:b665857306 . _:b665971343 . _:b674348438 . _:b668378662 . _:b665857307 . _:b665971328 . _:b665121911 . _:b668378660 . _:b665176333 . _:b665857304 . _:b665176325 . _:b665971329 . _:b668378661 . _:b665176334 . _:b665121915 . _:b665121908 . _:b665857305 . _:b665971330 . _:b668378658 . _:b668378656 . _:b665857310 . _:b665971331 . _:b668378657 . _:b668378659 . _:b665121910 . _:b665121913 . _:b665857311 . _:b665121907 . _:b665971332 . _:b665857308 . _:b665176329 . _:b665971333 . _:b665857309 . _:b665971334 . _:b663276267 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b674016882 . _:b665970924 . _:b665857014 "(forall (x t) (if (and (RealizableEntity x) (existsAt x t)) (exists (y) (and (MaterialEntity y) (specificallyDepends x y t))))) // axiom label in BFO2 CLIF: [063-002] " . _:b665857314 . _:b665971335 . _:b668378670 . _:b665176943 . _:b674016677 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665857153 . _:b668379172 . _:b665857315 . _:b665857312 . _:b668378668 . _:b665970716 . _:b665176326 . _:b665857313 . _:b668378644 . _:b668378669 . _:b675160375 . _:b665857318 . _:b665176335 . _:b668378645 . _:b668378664 . _:b665857319 . _:b668378671 . _:b668378665 . _:b665857316 . _:b668716738 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665857317 . _:b665121916 . _:b668378633 . _:b665121917 . _:b665857322 . _:b674348416 . _:b665857161 . _:b675160376 . _:b665857323 . _:b668378676 . _:b665970694 . _:b668378635 . _:b665857320 . _:b668378634 . _:b665857167 . _:b665121912 . _:b665857321 . _:b668378674 . _:b665857326 . _:b668378675 . _:b668378636 . _:b665970847 . _:b674348418 . _:b665857327 . _:b674348419 . _:b668716319 . _:b665121919 . _:b665121914 . _:b668378672 . _:b665857324 . _:b665970934 . _:b665857325 . _:b668378632 . _:b668378628 . _:b665857330 . _:b665857331 . _:b668378630 . _:b663277833 . _:b668716324 . _:b665857328 . _:b668378631 . _:b665857329 . _:b665121906 . _:b665857334 . _:b668378637 . _:b665857335 . _:b665121918 . _:b665121905 . _:b668378626 . _:b668716328 . _:b665857332 . _:b665857333 . _:b668378624 . _:b668378680 . _:b665857338 . _:b665121900 . _:b668716334 . _:b665857339 . _:b665121903 . _:b665857336 . _:b665121902 . _:b663277826 . _:b665857337 . _:b668378625 . _:b665857342 . _:b665121896 . _:b668716335 . _:b668378683 . _:b665176837 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665857343 . _:b668378685 . _:b665121899 . _:b668378686 . _:b668378682 . _:b665857340 . _:b668378681 . _:b665121898 . _:b668716337 . _:b668378687 . _:b668378684 . _:b665121893 . _:b665857341 . _:b665121895 . _:b665857474 . _:b678849938 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857475 . _:b668378629 . _:b665121892 . _:b665857472 . _:b668378678 . _:b668716336 . _:b665857473 . _:b668378627 . _:b668378638 . _:b665857478 . _:b668378988 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b668378639 . _:b668716338 . _:b665857479 . _:b668378673 . _:b668378677 . _:b665857476 . _:b668378679 . _:b668716342 . _:b665857477 . _:b668378640 . _:b665970868 . _:b665857482 . _:b665857430 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b666092748 . _:b668716340 . _:b668378641 . _:b668378643 . _:b665857193 . _:b668378666 . _:b665857483 . _:b668378667 . _:b668378642 . _:b665857480 . _:b665970873 . _:b668716351 . _:b665857481 . _:b675160828 . _:b665857486 . _:b668378647 . _:b668378646 . _:b665857487 . _:b665857484 . _:b665857485 . _:b668378650 . _:b666092747 . _:b668378651 . _:b665970876 . _:b668716347 . _:b665857490 . _:b668716346 . _:b668378648 . _:b665857491 . _:b668716344 . _:b668378649 . _:b668716349 . _:b662809641 . _:b665857488 . _:b665970739 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b668716348 . _:b665857489 . _:b668378654 . _:b665857494 . _:b668378652 . _:b665857495 . _:b665970854 . _:b663277954 . _:b668378655 . _:b665857492 . _:b668378653 . _:b668716341 . _:b668716345 . _:b663277954 . _:b665857493 . _:b665857498 . _:b665795725 . _:b668716343 . _:b665857499 . _:b668378723 . _:b663277952 . _:b665857496 . _:b665857497 . _:b668716350 . _:b665857502 . _:b668378724 . _:b668716339 . _:b668378719 . _:b665857503 . _:b668378718 . _:b665857500 . _:b665176300 . _:b665857501 . _:b668378706 . _:b665857506 . _:b668378707 . _:b663277912 . _:b668716333 . _:b668716332 . _:b668378708 . _:b665857507 . _:b668378705 . _:b665176297 . _:b668378725 . _:b668716329 . _:b665857504 . _:b665121977 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b668716330 . _:b665857505 . _:b668378704 . _:b668378710 . _:b665176386 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665857510 . _:b668378711 . _:b665857511 . _:b668716325 . _:b665857508 . _:b668378709 . _:b665857509 . _:b668716326 . _:b665176498 . _:b668716327 . _:b665857514 . _:b668378701 . _:b665857515 . _:b665857512 . _:b668716320 . _:b675160442 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665176510 . _:b668716322 . _:b665857513 . _:b668378703 . _:b668716323 . _:b668378702 . _:b665176511 . _:b665857518 . _:b665176503 . _:b665857519 . _:b662810105 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665857516 . _:b668716384 . _:b665857517 . _:b668378689 . _:b668716388 . _:b665176499 . _:b665857522 . _:b668716379 . _:b668378688 . _:b668378690 . _:b668716389 . _:b663277896 . _:b665176500 . _:b665857523 . _:b668716387 . _:b668716380 . _:b663277897 . _:b665795250 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b665857520 . _:b663277898 . _:b662809655 . _:b665857521 . _:b668716385 . _:b665176556 . _:b665177052 . _:b663277899 . _:b665857526 . _:b665857527 . _:b665177026 . _:b663277914 . _:b665857524 . _:b665176481 . _:b663277916 . _:b668378693 . _:b665857525 . _:b662810097 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665971093 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665176491 . _:b665857530 . _:b668378692 . _:b665177031 . _:b663277888 . _:b665176492 . _:b665857531 . _:b663277889 . _:b668378694 . _:b666093136 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665857528 . _:b668378695 . _:b678849986 "Every process boundary occupies_temporal_region a zero-dimensional temporal region. (axiom label in BFO2 Reference: [085-002])"@en . _:b663277890 . _:b665176494 . _:b665857529 . _:b663277891 . _:b665176495 . _:b665857534 . _:b665971297 . _:b663277892 . _:b665176480 . _:b665857535 . _:b668378691 . _:b668716405 . _:b665857532 . _:b668716404 . _:b663277894 . _:b662809659 . _:b665857533 . _:b668716407 . _:b663277895 . _:b662809658 . _:b665857410 . _:b674348351 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b668716406 . _:b665121987 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b668378697 . _:b662809657 . _:b665857411 . _:b668378699 . _:b668378696 . _:b662809656 . _:b665857408 . _:b665176493 . _:b665857409 . _:b678849926 "(forall (x) (if (SpatialRegion x) (Continuant x))) // axiom label in BFO2 CLIF: [035-001] " . _:b665857414 . _:b668378700 . _:b665176472 . _:b665857415 . _:b668378698 . _:b665857412 . _:b668716410 . _:b665122268 . _:b665176474 . _:b665857413 . _:b668716409 . _:b668378720 . _:b665122269 . _:b665857418 . _:b665122276 . _:b665857419 . _:b665122271 . _:b668716413 . _:b663277833 . _:b668716408 . _:b665122284 . _:b665176477 . _:b665857416 . _:b665122278 . _:b668716357 . _:b668716412 . _:b665176478 . _:b665176938 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665857417 . _:b665459516 . _:b665122265 . _:b668716358 . _:b665176479 . _:b665122277 . _:b665122282 . _:b665857422 . _:b665177083 . _:b668716411 . _:b665857423 . _:b665122267 . _:b665122279 . _:b678849569 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857420 . _:b668716352 . _:b665176473 . _:b665122264 . _:b668716353 . _:b665857421 . _:b668716355 . _:b668378715 . _:b668378722 . _:b668716354 . _:b668716414 . _:b665857426 . _:b674348727 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b668378714 . _:b665122261 . _:b665857427 . _:b668716415 . _:b665971085 . _:b668378713 . _:b668378717 . _:b665122262 . _:b665857424 . _:b668378712 . _:b668378716 . _:b668378721 . _:b665857425 . _:b665176471 . _:b668716356 . _:b665857430 . _:b668716359 . _:b665122280 . _:b665857431 . _:b668716401 . _:b663277828 . _:b668716403 . _:b668716400 . _:b665857428 . _:b668716363 . _:b668716362 . _:b665857429 . _:b668716360 . _:b665857434 . _:b668716361 . _:b668716402 . _:b668379040 . _:b665857435 . _:b668379044 . _:b668716366 . _:b668379035 . _:b665857432 . _:b668379045 . _:b668716367 . _:b663277835 . _:b668379036 . _:b668379043 . _:b665857433 . _:b674016234 . _:b675160581 . _:b665857438 . _:b668716365 . _:b674016235 . _:b668379041 . _:b668716364 . _:b665857439 . _:b668716368 . _:b668716392 . _:b665122294 . _:b668716374 . _:b668716375 . _:b665857436 . _:b665122295 . _:b665458913 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665122293 . _:b668716393 . _:b665122297 . _:b665795392 . _:b665857437 . _:b665122296 . _:b665122298 . _:b668716372 . _:b668716396 . _:b665857442 . _:b668716373 . _:b665857443 . _:b668716394 . _:b665857440 . _:b668716369 . _:b668716371 . _:b668716398 . _:b665857441 . _:b668716395 . _:b665122302 . _:b665971084 . _:b665122303 . _:b668716370 . _:b665122301 . _:b668716397 . _:b665857446 . _:b665176998 . _:b665176568 . _:b674348656 . _:b668716399 . _:b665857447 . _:b665176560 . _:b668716383 . _:b665176569 . _:b665857444 . _:b675160378 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b665176570 . _:b665857445 . _:b668379061 . _:b668716381 . _:b665176571 . _:b665857450 . _:b678849580 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b668379060 . _:b668716403 . _:b665176572 . _:b668379063 . _:b665857451 . _:b668716390 . _:b665459528 . _:b665176982 . _:b665176573 . _:b668379062 . _:b665857448 . _:b668716391 . _:b665122299 . _:b668716386 . _:b665176574 . _:b668716378 . _:b665857449 . _:b668716376 . _:b665122300 . _:b665793525 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665122292 . _:b665176575 . _:b665857454 . _:b668716377 . _:b665795377 . _:b668716382 . _:b665857455 . _:b665176561 . _:b674348665 . _:b665857452 . _:b665176879 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665793870 "(forall (x) (if (TwoDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [039-001] " . _:b665176562 . _:b674348666 . _:b665857453 . _:b665122289 . _:b668379066 . _:b665857458 . _:b665122288 . _:b665176351 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b668379065 . _:b665857459 . _:b665122291 . _:b665971208 . _:b665176565 . _:b665857456 . _:b665122290 . _:b665176566 . _:b674348670 . _:b665857457 . _:b668379069 . _:b668379064 . _:b665176567 . _:b674348671 . _:b665857462 . _:b668379013 . _:b668379068 . _:b665971206 . _:b665857463 . _:b668379014 . _:b665856965 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665857460 . _:b668379067 . _:b665857461 . _:b668379008 . _:b665857466 . _:b675160869 . _:b665122285 . _:b665459454 . _:b668379009 . _:b665176556 . _:b668379011 . _:b665122286 . _:b665857467 . _:b668379010 . _:b668379070 . _:b665176557 . _:b665857464 . _:b675160890 . _:b665971205 . _:b663276500 . _:b668379071 . _:b665857465 . _:b665176964 . _:b665971204 . _:b665122281 . _:b665857470 . _:b665176551 . _:b665971207 . _:b665857471 . _:b668379012 . _:b668379015 . _:b665857468 . _:b665122283 . _:b665176969 . _:b665176546 . _:b665857469 . _:b675160895 . _:b668379057 . _:b668379059 . _:b668379056 . _:b675160426 "(iff (Process a) (and (Occurrent a) (exists (b) (properTemporalPartOf b a)) (exists (c t) (and (MaterialEntity c) (specificallyDependsOnAt a c t))))) // axiom label in BFO2 CLIF: [083-003] " . _:b665176547 . . _:b668379019 . _:b665176555 . _:b668379018 . _:b665971201 . _:b665176548 . _:b665795538 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665122266 . _:b668379016 . _:b665176549 . _:b674016693 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b668379017 . _:b665971200 . _:b668379058 . _:b665122272 . _:b665857330 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b674348654 . _:b665176550 . _:b662810245 . _:b666092676 . _:b665971211 . _:b665971203 . _:b665176972 . _:b668379022 . _:b674348655 . _:b665971202 . _:b668379023 . _:b665122275 . _:b665122274 . _:b665176536 . _:b665176819 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665122270 . _:b668379021 . _:b665176529 . _:b665122287 . _:b668379020 . _:b665971209 . _:b668379024 . _:b668379048 . _:b668379030 . _:b668379031 . _:b665176539 . _:b668379049 . _:b665176540 . _:b668379028 . _:b668379052 . _:b665971210 . _:b665176541 . _:b668379029 . _:b668379050 . _:b665177012 . _:b665176543 . _:b665176535 . _:b668379025 . _:b668379027 . _:b668379054 . _:b665176528 . _:b674348655 . _:b668379051 . _:b668379026 . _:b668379053 . _:b674348654 . _:b674348634 . _:b666093006 . _:b668379055 . _:b665176530 . _:b674348653 . _:b668379039 . _:b674348652 . _:b666093003 . _:b665794016 . _:b668379037 . _:b665176533 . _:b665176534 . _:b668379046 . _:b665176542 . _:b665795336 . _:b665177020 . _:b666093003 . _:b668379047 . _:b668716817 . _:b668379042 . _:b665459501 . _:b668379034 . _:b665176520 . _:b668379032 . _:b665176512 . _:b666093006 . _:b665176521 . _:b668379033 . _:b666093001 . _:b668379038 . _:b665176522 . _:b666092992 . _:b666092999 . _:b665459291 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b665176523 . _:b674348660 . _:b668379089 . _:b665176999 . _:b666092996 . _:b665176524 . _:b674348659 . _:b665176525 . _:b674348658 . _:b665176526 . _:b674348657 . _:b666092994 . _:b666092996 . _:b665176527 . _:b674348656 . _:b666092999 . _:b666092992 . _:b665176513 . _:b666093319 . _:b668716515 . _:b668379090 . _:b668379088 . _:b668379091 . _:b665176516 . _:b665176517 . _:b665177005 . _:b665176518 . _:b668716814 . _:b665176519 . _:b665176656 . _:b668716737 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665176663 . _:b666093010 . _:b668379080 . _:b665176661 . _:b666093010 . _:b665795324 . _:b674016811 . _:b668716857 . _:b666093008 . _:b668716856 . _:b668379087 . _:b662809827 . _:b668379075 . _:b668716858 . _:b668379074 . _:b665857076 . _:b668379077 . _:b668379072 . _:b665857077 . _:b665795319 . _:b668716862 . _:b668379078 . _:b665857078 . _:b674016283 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665857079 . _:b668379079 . _:b668379073 . _:b665970742 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b668716848 . _:b668379076 . _:b665176642 . _:b675161001 . _:b665795570 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b674016468 . _:b665857072 . _:b665857073 . _:b674348706 . _:b675160709 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665176640 . _:b665857074 . _:b665856943 . _:b675160710 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668716853 . _:b665970981 . _:b674348673 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665176647 . _:b665857075 . _:b665856942 . _:b665857068 . _:b665856941 . _:b668716855 . _:b665857069 . _:b665856940 . _:b665795327 . _:b665857070 . _:b665856939 . _:b665795326 . _:b675160626 . _:b665857071 . _:b665856938 . _:b674348712 . _:b665857064 . _:b665856937 . _:b665176649 . _:b665857065 . _:b665856936 . _:b668379083 . _:b665857066 . _:b665856935 . _:b674016732 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b668379082 . _:b668379086 . _:b663277624 . _:b665857067 . _:b665856934 . _:b662809583 . _:b668379081 . _:b668378558 _:b668378557 . _:b665176654 . _:b668379085 . _:b665857060 . _:b665856933 . _:b668716847 . . _:b665857061 . _:b674016475 . _:b665856932 . _:b668378559 _:b668378558 . _:b663277605 . _:b665857062 . _:b665856931 . _:b665857063 . _:b665856930 . _:b665857056 . _:b665856929 . _:b668379084 . _:b668378553 _:b668378552 . _:b665857057 . _:b665856928 . _:b668379190 . _:b663277601 . _:b665857058 . _:b665856959 . _:b668378555 _:b668378554 . _:b665857059 . _:b665856958 . _:b665857052 . _:b665856957 . _:b665857053 . _:b665856956 . _:b668379093 . _:b665176839 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665857054 . _:b665856955 . _:b674348695 . _:b668379092 . _:b665857055 . _:b665856954 . _:b674348696 . _:b668378843 . _:b665857048 . _:b668378556 _:b668378559 . _:b665856953 . _:b674348697 . _:b665857049 . _:b665856952 . _:b674348698 . _:b663277623 . _:b665857050 . _:b665856951 . _:b668379094 . _:b674348318 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665857051 . _:b665856950 . _:b674016324 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b668378583 _:b668378582 . _:b668378578 _:b668378574 . _:b665857044 . _:b665856949 . _:b665971336 . _:b665857045 . _:b668378584 _:b668378587 . _:b665856948 . _:b674348702 . _:b668378582 _:b668378581 . _:b665857046 . _:b665856947 . _:b665857047 . _:b665856946 . _:b668379192 . _:b665857040 . _:b665856945 . _:b668378579 _:b668378578 . "Jennifer Fostel"@en . _:b668379193 . _:b665857041 . _:b665856944 . _:b665857042 . _:b665856911 . _:b668378577 _:b668378576 . _:b665857043 . _:b665856910 . _:b665857036 . _:b665856909 . _:b674348677 . _:b668378590 _:b668378593 . _:b665857037 . _:b665856908 . _:b665857038 . _:b665856907 . _:b675160741 . _:b665857039 . _:b665856906 . _:b665857032 . _:b668378586 _:b668378585 . _:b665857033 . _:b674348682 . _:b665857034 . _:b668378580 _:b668378583 . _:b668378587 _:b668378586 . _:b674348683 . _:b665857035 . _:b668378574 _:b668378575 . _:b665857028 . _:b666092716 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665857029 . _:b665857030 . _:b663276216 . _:b665857031 . _:b665857024 . _:b668379035 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b668378565 _:b668378564 . _:b662809728 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt x y t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [021-002] " . _:b665857025 . _:b668378566 _:b668378565 . _:b665857026 . _:b668378573 _:b668378579 . _:b665856927 . _:b665857027 . _:b665856926 . _:b668378589 _:b668378590 . _:b668716695 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b668378575 _:b668378577 . _:b665856925 . _:b665856924 . _:b668378569 _:b668378568 . _:b663277755 . _:b668378567 _:b668378570 . _:b668378570 _:b668378569 . _:b665856923 . _:b666093088 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665793883 . _:b674348684 . _:b665856922 . _:b674348763 . _:b674348685 . _:b665856921 . _:b668378563 _:b668378566 . _:b665793885 . _:b674348686 . _:b665856920 . _:b665795556 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665793884 . _:b665856919 . _:b674348680 . _:b665856918 . _:b665793886 . _:b674348681 . _:b665856917 . _:b674348682 . _:b665856916 . _:b674348765 . _:b674348683 . _:b665856915 . _:b674348764 . _:b665856914 . _:b665856913 . _:b666093191 . _:b674348755 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665856912 . _:b665857007 . _:b665857006 . _:b668378595 _:b668378596 . _:b665857005 . _:b666093280 . _:b665971063 . _:b665857004 . _:b665857003 . _:b668378980 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665970748 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b663277589 . _:b668379235 . _:b665857002 . _:b663277588 . _:b665857001 . _:b666092985 . _:b665857000 . _:b665176584 . _:b674348615 . _:b665856999 . _:b666093212 . _:b674348614 . _:b665856998 . _:b666092989 . _:b668378600 _:b668378599 . _:b668378601 _:b668378595 . _:b665856997 . _:b666092989 . _:b665176948 . _:b668378601 _:b668378600 . _:b665856996 . _:b668379002 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665856995 . _:b666092987 . _:b668379243 . _:b665856994 . _:b666092985 . _:b668378605 _:b668378604 . _:b665856993 . _:b665856992 . _:b665176624 . _:b668378592 _:b668378591 . _:b665857023 . _:b668378594 _:b668378601 . _:b668378604 _:b668378603 . _:b665857022 . _:b665857021 . _:b665857020 . _:b665857019 . _:b668378593 _:b668378592 . _:b665857018 . _:b665857017 . _:b674348946 . _:b665176633 . _:b668378598 _:b668378597 . _:b665857016 . _:b668378596 _:b668378598 . _:b668378602 _:b668378605 . _:b665857015 . _:b665857014 . _:b665857013 . _:b666092700 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b674348750 . _:b665857012 . _:b674348751 . _:b665857011 . _:b674348953 . _:b674348752 . _:b665857010 . _:b666093217 . _:b665857009 . _:b665857008 . _:b668378975 . _:b665856975 . _:b674348739 . _:b666093116 . _:b665176615 . _:b665856974 . _:b666093117 . _:b665856973 . _:b665856972 . _:b668378980 . _:b665856971 . _:b666093215 . _:b668379203 . _:b665856970 . _:b665459066 . _:b665856969 . _:b674348745 . _:b665459028 . _:b665856968 . _:b674348746 . _:b668378984 . _:b665856967 . _:b662810246 . _:b665459029 . _:b665856966 . _:b668716940 . _:b665856965 . _:b668378990 . _:b668716772 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b665856964 . _:b678849910 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b665176620 . _:b665856963 . _:b665793960 . _:b665856962 . _:b662809869 . _:b666092722 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b675160413 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665856961 . _:b665971111 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b668378991 . _:b665856960 . _:b665856991 . _:b668716933 . _:b668378993 . _:b665176791 . _:b665856990 . _:b665856989 . _:b665176789 . _:b665856988 . _:b665856987 . _:b665176795 . _:b668378992 . _:b665856986 . _:b663277653 . _:b665856985 . _:b663277738 "every entity of which a material entity is continuant part is also a material entity. (axiom label in BFO2 Reference: [021-002])"@en . _:b668378994 . _:b665856984 . _:b663277822 . _:b665856983 . _:b668378998 . _:b665176799 . _:b665856982 . _:b665459046 . _:b665856981 . _:b665459047 . _:b668378996 . _:b665856980 . _:b665176824 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b663277643 . _:b678849992 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665856979 . _:b665795169 "(forall (x y) (if (and (Continuant x) (exists (t) (hasContinuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [126-001] " . _:b665176771 . _:b668379007 . _:b665856978 . _:b665459044 . _:b665856977 . _:b665856976 . _:b665857071 . _:b668716368 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665857070 . _:b668379003 . _:b665857069 . _:b668379002 . _:b663277816 . _:b665857068 . _:b665459043 . _:b668379000 . _:b665459040 . _:b668379005 . _:b665857067 . _:b665459042 . _:b668379004 . _:b665857066 . _:b674348960 . _:b665459045 . _:b665176778 . _:b665857065 . _:b674348778 . _:b665857064 . _:b674348687 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665857063 . _:b668378997 . _:b668379001 . _:b665857062 . _:b665176782 . _:b665857061 . _:b668378999 . _:b665857060 . _:b665857059 . _:b665176883 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b665857058 . _:b665121941 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665459070 . _:b668379006 . _:b665857057 . _:b668378995 . _:b665176817 . _:b665795201 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665857056 . _:b665857087 . _:b665857086 . _:b674348775 . _:b665857085 . _:b668378988 . _:b668378989 . _:b665857084 . _:b668378985 . _:b665857083 . _:b662809745 "(iff (ZeroDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (ZeroDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [031-001] " . _:b665857082 . _:b668378986 . _:b674016363 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665857081 . _:b665459062 . _:b665857080 . _:b665176821 . _:b668378981 . _:b665857079 . _:b665459063 . _:b665857078 . _:b668716359 "(forall (r) (if (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion r r))) // axiom label in BFO2 CLIF: [107-002] " . _:b668378982 . _:b665459064 . _:b668378983 . _:b665857077 . _:b665459065 . _:b665459061 . _:b665857076 . _:b665857075 . _:b666093045 . _:b668378976 . _:b665459306 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b668378978 . _:b665857074 . _:b668378979 . _:b665857073 . _:b665857072 . _:b662809801 . _:b665857039 . _:b665857038 . _:b665857037 . _:b665176805 . _:b668716923 . _:b665857036 . _:b665857035 . _:b668378795 . _:b662809736 "b process_profile_of c holds when b proper_occurrent_part_of c& there is some proper_occurrent_part d of c which has no parts in common with b & is mutually dependent on b& is such that b, c and d occupy the same temporal region (axiom label in BFO2 Reference: [094-005])"@en . _:b665857034 . _:b665176810 . _:b665857033 . _:b665794010 . _:b662809850 . _:b665857032 . _:b665857031 . _:b665122371 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665857030 . _:b665857029 . _:b665176813 . _:b665857028 . _:b675160403 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b662809853 . _:b665857027 . _:b665857026 . _:b674348386 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665857025 . _:b665857024 . . _:b665857055 . _:b665857539 . _:b665857054 . _:b665176308 . _:b662809847 . _:b665857053 . _:b665176309 . _:b665857052 . _:b663277837 . _:b665857051 . _:b665176319 . _:b665857050 . _:b665176312 . _:b665795494 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665857049 . _:b665795172 . _:b665176313 . _:b665795495 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665857048 . _:b675160950 . _:b665857047 . _:b665857046 . _:b665857045 . _:b665857044 . _:b665176318 . _:b662809585 . _:b665857043 . _:b668378803 . _:b665857042 . _:b665857041 . _:b665857040 . _:b665459305 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665857135 . _:b665857134 . _:b665857133 . _:b665857132 . _:b665857131 . _:b665856945 . _:b665856930 . _:b665857130 . _:b665857129 . _:b665857128 . _:b665857127 . _:b665857126 . _:b665857125 . _:b665176301 . _:b665857124 . _:b662810010 . _:b665176302 . _:b668378714 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665857123 . _:b663277820 . _:b665857122 . _:b665857121 . _:b675160943 . _:b665970724 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665121916 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665857120 . _:b665856951 . _:b665857151 . _:b665795700 . _:b665857150 . _:b665857149 . _:b662810244 . _:b665857148 . _:b665857147 . _:b663277812 . _:b665857146 . _:b665856942 . _:b663277813 . _:b665857145 . _:b668716571 . _:b665971265 . _:b663277814 . _:b665857144 . _:b665857143 . _:b663276478 . _:b665176767 . _:b665857142 . _:b663276479 . _:b665857141 . _:b663276476 . _:b665795631 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665176765 . _:b665857400 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665857140 . _:b665857274 . _:b665857139 . _:b675160782 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665857138 . _:b665857137 . _:b665857136 . . _:b663277807 . _:b665857103 . _:b665857102 . _:b668716564 . _:b665857101 . _:b663277641 . _:b665857100 . _:b665857099 . _:b665857098 . _:b665857097 . _:b665857096 . _:b665857095 . _:b663277772 . _:b663277790 . _:b663277710 "b is a role means: b is a realizable entity & b exists because there is some single bearer that is in some special physical, social, or institutional set of circumstances in which this bearer does not have to be& b is not such that, if it ceases to exist, then the physical make-up of the bearer is thereby changed. (axiom label in BFO2 Reference: [061-001])"@en . _:b665857094 . _:b665857093 . _:b665857092 . _:b665459186 . _:b663277789 . _:b665459188 . _:b665857091 . _:b663277774 . _:b665857090 . _:b665857089 . _:b663277784 . _:b665857088 . _:b663277785 . _:b665857119 . _:b665857118 . _:b663277697 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b665857340 . _:b674348353 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665857117 . _:b665857116 . _:b674348409 . _:b665857342 . _:b665857115 . _:b665857343 . _:b665857114 . _:b663277781 . _:b665857336 . _:b665857113 . _:b663277782 . _:b665857337 . _:b665857112 . _:b665857338 . _:b665857111 . _:b665857339 . _:b665857110 . _:b665857332 . _:b665857109 . _:b665857333 . _:b665857108 . _:b665857334 . _:b665857107 . _:b665857335 . _:b665857106 . _:b666093283 . _:b665857105 . "Satya Sahoo"@en . _:b665857329 . _:b665857104 . _:b665857330 . _:b665857199 . _:b665857198 . _:b665857197 . _:b663277764 . _:b674348406 . _:b665857196 . _:b665857195 . _:b665857194 . _:b665857193 . _:b665857192 . _:b665857191 . _:b678849623 "Every entity which has a material entity as continuant part is a material entity. (axiom label in BFO2 Reference: [020-002])"@en . _:b665857190 . _:b665857189 . _:b665857188 . _:b665857187 . _:b665795285 . _:b665857186 . _:b665459182 . _:b665857185 . _:b665795306 . _:b665857184 . _:b663276521 . _:b665857215 . _:b665176369 "(forall (x) (if (Occurrent x) (exists (r) (and (SpatioTemporalRegion r) (occupiesSpatioTemporalRegion x r))))) // axiom label in BFO2 CLIF: [108-001] " . _:b665857214 . _:b665459185 . _:b665857213 . _:b665459184 . _:b665857212 . _:b665459187 . _:b665795311 . _:b665857211 . _:b668378746 . _:b674348440 . _:b665857210 . _:b665857209 . _:b665459190 . _:b662810028 . _:b665857208 . _:b663276529 . _:b662810027 . _:b674348445 . _:b675160915 . _:b665459171 . _:b665857207 . _:b662810026 . _:b668378943 . _:b665459191 . _:b665857206 . _:b662810025 . _:b674348447 . _:b665459192 . _:b665857205 . _:b662810024 . _:b665459193 . _:b665857204 . _:b665857203 . _:b665857202 . _:b665857201 . _:b662810053 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665857200 . _:b665857167 . _:b665857166 . _:b674348439 . _:b665793833 . _:b665795635 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665857165 . _:b662810050 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665857164 . _:b668716950 . _:b665857294 . _:b668716772 . _:b665857163 . _:b665793869 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665857295 . _:b665857162 . _:b665857161 . _:b665857160 . _:b665857159 . _:b665857158 . _:b665857157 . _:b665857156 . _:b665122568 _:b665122569 . _:b665122568 _:b665122573 . _:b665857155 . _:b665970837 . _:b674016679 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b665857154 . _:b665857153 . _:b665176337 . _:b665857152 . _:b663276489 . _:b665857183 . _:b668378774 . _:b665970835 . _:b665857182 . _:b665176342 . _:b665857404 . _:b665857181 . _:b665176949 . _:b665857405 . _:b665857180 . _:b665970838 . _:b665857406 . _:b665970836 . _:b665857179 . _:b665176959 . _:b665970839 . _:b665857407 . _:b665857178 . _:b665857400 . _:b665857177 . _:b665176945 . _:b665795658 . _:b665176345 . _:b665857401 . _:b665122561 _:b665122566 . _:b665122561 _:b665122562 . _:b665857176 . _:b665176946 . _:b665970826 . _:b665971152 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b666093124 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665857402 . _:b665857175 . _:b665176947 . _:b665970827 . _:b665857403 . _:b665857174 . _:b665176948 . _:b665970824 . _:b665857396 . _:b665857173 . _:b665176349 . _:b665857397 . _:b675160959 . _:b665176536 . _:b665857172 . _:b665857398 . _:b675160836 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665857171 . _:b662810158 . _:b665176323 . _:b665857399 . _:b665857170 . _:b665970828 . _:b665857392 . _:b665970825 . _:b665857169 . _:b665176321 . _:b665857393 . _:b665970819 . _:b665857168 . _:b665857394 . _:b665857263 . _:b665176939 . _:b665970821 . _:b665176327 . _:b665857395 . _:b665857262 . _:b665176940 . _:b665795655 . _:b665857388 . _:b665857261 . _:b665857389 . _:b665970823 . _:b665857260 . _:b665176942 . _:b666093225 . _:b665857390 . _:b665857259 . _:b665970822 . _:b665176331 . _:b665857391 . _:b665857258 . _:b665459110 . _:b665970818 . _:b665857384 . _:b665459111 . _:b665857257 . _:b665970820 . _:b665793873 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b665857385 . _:b665970842 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b665857256 . _:b665970817 . _:b665857386 . _:b665857255 . _:b665970816 . _:b665459109 . _:b665857387 . _:b665857254 . _:b665857380 . _:b665857253 . _:b665793850 "(forall (x) (iff (Occurrent x) (and (Entity x) (exists (y) (temporalPartOf y x))))) // axiom label in BFO2 CLIF: [079-001] " . _:b665176941 . _:b665857381 . _:b665857252 . _:b666093233 . _:b674348449 . _:b665795697 . _:b665857382 . _:b665857251 . _:b666093232 . _:b674348448 . _:b665795696 . _:b665857383 . _:b665857250 . _:b665795699 . _:b665857376 . _:b665857249 . _:b665795698 . _:b674348450 . _:b665857377 . _:b665176416 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665857248 . _:b665122372 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b665857378 . _:b665857279 . _:b665857379 . _:b665857278 . _:b665795703 . _:b665857372 . _:b665857277 . _:b674348454 . _:b665857373 . _:b665857276 . _:b665970831 . _:b665795689 . _:b665857374 . _:b665857275 . _:b666092730 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665970830 . _:b665795688 . _:b665857375 . _:b665857274 . _:b665970829 . _:b665857368 . _:b665857273 . _:b666092697 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665857369 . _:b665857272 . _:b666093230 . _:b665857370 . _:b665857271 . _:b675161058 . _:b665857371 . _:b665857270 . _:b668379181 . _:b665857364 . _:b665857269 . _:b665970832 . _:b665795694 . _:b668379083 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665857365 . _:b665857268 . _:b665857366 . _:b665857267 . _:b662809878 . _:b665970834 . _:b665970842 . _:b665857367 . _:b665857266 . _:b665970833 . _:b665857360 . _:b665122285 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b665857265 . _:b665857361 . _:b665857264 . _:b665970841 . _:b665857362 . _:b665857231 . _:b665970840 . _:b665857363 . _:b665857230 . _:b668379174 . _:b665857356 . _:b665857229 . _:b665970761 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665857357 . _:b665857228 . _:b665857358 . _:b665857227 . _:b665857359 . _:b665857226 . _:b665857352 . _:b665857225 . _:b665459035 . _:b665857353 . _:b665857224 . _:b665857354 . _:b665857223 . _:b665857355 . _:b665857222 . _:b665857348 . _:b665857221 . _:b678849772 . _:b665857349 . _:b665857220 . _:b668378954 . _:b665857350 . _:b665857219 . _:b668716673 . _:b665176531 . _:b665857351 . _:b665857218 . _:b665177016 . _:b665857344 . _:b665857217 . _:b675160340 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665177017 . _:b674348382 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665857345 . _:b665857073 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b678849779 . _:b675160341 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665177018 . _:b665857216 . _:b665177010 . _:b665857346 . _:b665857247 . _:b668378562 . _:b674348845 . _:b668716719 "per discussion with Barry Smith" . _:b665857347 . _:b668378776 . _:b665857246 . _:b665857245 . _:b665857244 . _:b668716714 "per discussion with Barry Smith" . _:b665970745 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665857243 . _:b674016474 . _:b665857242 . _:b665177008 . _:b665857241 . _:b665177009 . _:b665176537 . _:b665857240 . _:b665857239 . _:b665177011 . _:b665177019 . _:b678849959 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665857238 . _:b668378972 . _:b665857237 . _:b665793668 . _:b665857236 . _:b665177014 . _:b665857235 . _:b665177015 . _:b665177023 . _:b666092757 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b668378666 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b665857234 . _:b668378968 . _:b665176514 . _:b665857233 . _:b665177001 . _:b665857232 . _:b665177002 . _:b665857327 . _:b674348532 . _:b662809856 . _:b665857326 . _:b665177004 . _:b665857325 . _:b665176997 . _:b675160455 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665857324 . _:b665857323 . _:b665177007 . _:b665857322 . _:b665176992 . _:b665857448 . _:b665857321 . _:b665176993 . _:b665857320 . _:b665176994 . _:b674348525 . _:b665857319 . _:b665176995 . _:b665177003 . _:b665857318 . _:b665176996 . _:b665857444 . _:b665857317 . _:b665795774 . _:b665857445 . _:b665857316 . _:b668716814 . _:b665176998 . _:b665857446 . _:b665857315 . _:b665176563 . _:b665857447 . _:b665857314 . _:b665176984 . _:b665857440 . _:b665857031 "b is a fiat object part = Def. b is a material entity which is such that for all times t, if b exists at t then there is some object c such that b proper continuant_part of c at t and c is demarcated from the remainder of c by a two-dimensional continuant fiat boundary. (axiom label in BFO2 Reference: [027-004])"@en . _:b665857313 . _:b665176985 . _:b665857441 . _:b665857312 . _:b665176986 . _:b665857442 . _:b665857343 . _:b665176987 . _:b665857443 . _:b665857342 . _:b665176988 . _:b665176980 . _:b665857436 . _:b665857341 . _:b665176989 . _:b665857437 . _:b665857340 . _:b665176990 . _:b668716554 . _:b665857438 . _:b665857339 . _:b665176991 . _:b675160452 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b665857439 . _:b665857338 . _:b665857432 . _:b663276326 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b665857337 . _:b665857433 . _:b665857336 . _:b665176978 . _:b665857434 . _:b662810092 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665857335 . _:b665176979 . _:b665857435 . _:b665857334 . _:b668716688 "per discussion with Barry Smith" . _:b665857428 . _:b665857333 . _:b665176981 . _:b665793494 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b665857429 . _:b665857332 . _:b663277691 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665857430 . _:b665857331 . _:b665857431 . _:b665857330 . _:b665176968 . _:b665857424 . _:b665857329 . _:b678849696 . _:b665176961 . _:b665176480 . _:b668716701 "per discussion with Barry Smith" . _:b665857425 . _:b665857328 . _:b665176544 . _:b665857426 . _:b665857295 . _:b668379140 . _:b665857427 . _:b665857294 . _:b675160744 . _:b665857420 . _:b665857293 . _:b675160745 . _:b665795187 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665857421 . _:b665857292 . _:b665176966 . _:b665857422 . _:b665857291 . _:b665795744 . _:b665857423 . _:b665793515 . _:b665857290 . _:b665176960 . _:b665857416 . _:b665793514 . _:b665857289 . _:b665857417 . _:b665793517 . _:b665857288 . _:b665176962 . _:b665122547 _:b665122548 . _:b665176552 . _:b665857418 . _:b665793516 . _:b665857287 . _:b665176963 . _:b665459345 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665176971 . _:b665857419 . _:b665857286 . _:b663277733 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665122547 _:b665122552 . _:b665176558 . _:b665857412 . _:b665857285 . _:b665857413 . _:b665857284 . _:b665857414 . _:b665857283 . _:b665176967 . _:b663277687 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665857415 . _:b665857282 . _:b662809684 "(forall (x) (if (Disposition x) (and (RealizableEntity x) (exists (y) (and (MaterialEntity y) (bearerOfAt x y t)))))) // axiom label in BFO2 CLIF: [062-002] " . _:b665857408 . _:b665857281 . _:b665177081 . _:b665857409 . _:b665857280 . _:b665177082 . _:b665970728 . _:b665857410 . _:b665857311 . _:b665857411 . _:b665857310 . _:b665122554 _:b665122555 . _:b665857309 . _:b665122554 _:b665122559 . _:b665857308 . _:b665970732 . _:b665857307 . _:b665177087 . _:b665176475 . _:b665857306 . _:b665177072 . _:b666092719 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665177080 . _:b665857305 . _:b665177073 . _:b665857304 . _:b665177074 . _:b665857303 . _:b665177075 . _:b666093101 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665970740 . _:b662810304 . _:b665857302 . _:b665177076 . _:b665971138 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b675160447 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665857301 . _:b665177077 . _:b665970739 . _:b665970742 . _:b665857300 . _:b665177078 . _:b665177086 . _:b665857299 . _:b662810311 . _:b665177079 . _:b665970741 . _:b665970746 . _:b665857298 . _:b665177064 . _:b665857297 . _:b665177065 . _:b665970744 . _:b665970738 . _:b668378633 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665857296 . _:b665459517 . _:b665177066 . _:b665795781 . _:b665857391 . _:b665177067 . _:b665857390 . _:b665177068 . _:b665857389 . _:b668716369 "p is a process = Def. p is an occurrent that has temporal proper parts and for some time t, p s-depends_on some material entity at t. (axiom label in BFO2 Reference: [083-003])"@en . _:b665177069 . _:b665857388 . _:b665177070 . _:b665971162 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b666092735 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b665857387 . _:b665177071 . _:b665857386 . _:b665177056 . _:b665857385 . _:b665177057 . _:b665857384 . _:b665177058 . _:b665970748 . _:b674348364 . _:b665857383 . _:b665177059 . _:b665857382 . _:b665177060 . _:b665857381 . _:b665122286 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b665177061 . _:b678849596 . _:b665857380 . _:b665177062 . _:b678849597 . _:b665857379 . _:b665177063 . _:b665970745 . _:b678849598 . _:b665857378 . _:b665177048 . _:b665970751 . _:b678849599 . _:b665857377 . _:b665970747 . _:b665970750 . _:b678849592 . _:b665857376 . _:b665177050 . _:b665176496 . _:b678849593 . _:b665793591 . _:b665857407 . _:b665177051 . _:b678849594 . _:b665857406 . _:b678849595 . _:b665857405 . _:b665970743 . _:b665176501 . _:b678849588 . _:b665857404 . _:b665177054 . _:b668378866 . _:b678849589 . _:b665857403 . _:b665177055 . _:b665970749 . _:b678849590 . _:b665857402 . _:b665177040 . _:b678849591 . _:b665857401 . _:b665177041 . _:b665970737 . _:b665177049 . _:b665970736 . _:b678849584 . _:b665857400 . _:b665177042 . _:b665970733 . _:b665176504 . _:b678849585 . _:b665857399 . _:b665177043 . _:b665176530 . _:b678849541 "Simons uses different terminology for relations of occurrents to regions: Denote the spatio-temporal location of a given occurrent e by 'spn[e]' and call this region its span. We may say an occurrent is at its span, in any larger region, and covers any smaller region. Now suppose we have fixed a frame of reference so that we can speak not merely of spatio-temporal but also of spatial regions (places) and temporal regions (times). The spread of an occurrent, (relative to a frame of reference) is the space it exactly occupies, and its spell is likewise the time it exactly occupies. We write 'spr[e]' and `spl[e]' respectively for the spread and spell of e, omitting mention of the frame." . _:b674016513 . _:b678849586 . _:b665970734 . _:b665857398 . _:b665177044 . _:b663276497 . _:b678849587 . _:b665857397 . _:b665177045 . _:b678849580 . _:b665857396 . _:b668378920 "2024-11-28T11:49:19.722624"^^ . _:b665177046 . _:b668378874 . _:b665970729 . _:b678849581 . _:b665857442 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665177047 . _:b665857395 . _:b674016702 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b668716755 "per discussion with Barry Smith" . _:b678849582 . _:b665970730 . _:b665857394 . _:b668716304 . _:b665970731 . _:b678849583 . _:b665176482 . _:b663277886 . _:b665857393 . _:b665177033 . _:b678849576 . _:b665857392 . _:b665177034 . _:b678849577 . _:b665857359 . _:b665177035 . _:b665970724 . _:b668378823 . _:b665970726 . _:b678849578 . _:b665857358 . _:b665177036 . _:b665970727 . _:b665177028 . _:b678849579 . _:b665857357 . _:b665177037 . _:b662810297 . _:b668378821 . _:b678849572 . _:b665970723 . _:b665857356 . _:b665177038 . _:b678849573 . _:b663276458 . _:b665857355 . _:b665177039 . _:b678849574 . _:b665857354 . _:b665177024 . _:b678849575 . _:b665857353 . _:b665177025 . _:b678849568 . _:b665970791 . _:b665857352 . _:b678849569 . _:b665176371 "b is an independent continuant = Def. b is a continuant which is such that there is no c and no t such that b s-depends_on c at t. (axiom label in BFO2 Reference: [017-002])"@en . _:b665857351 . _:b678849570 . _:b665970789 . _:b665857350 . _:b678849571 . _:b678849590 "If an entity is a quality at any time that it exists, then it is a quality at every time that it exists. (axiom label in BFO2 Reference: [105-001])"@en . _:b665857349 . _:b665177029 . _:b665970786 . _:b678849564 . _:b662810290 . _:b665857348 . _:b665177030 . _:b665970787 . _:b678849565 . _:b663276450 . _:b665857347 . _:b665970788 . _:b678849566 . _:b665857346 . _:b665970785 . _:b668378824 . _:b678849567 . _:b665970783 . _:b665857345 . _:b678849560 . _:b665857344 . _:b678849561 . _:b665857375 . _:b678849562 . _:b665857374 . _:b678849563 . _:b665857373 . _:b678849556 . _:b668378611 . _:b665857372 . _:b668378834 . _:b668378954 . _:b678849557 . _:b665857371 . _:b678849558 . _:b665857370 . _:b665970792 . _:b678849559 . _:b665857369 . _:b665970793 . _:b678849552 . _:b668378615 . _:b665857368 . _:b668378621 . _:b678849553 . _:b665857367 . _:b665970761 . _:b678849554 . _:b665857366 . _:b665970762 . _:b665970754 . _:b678849555 . _:b668378623 . _:b665857365 . _:b678849548 . _:b665857364 . _:b665795329 . _:b674348372 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b678849549 . _:b665122204 . _:b665857363 . _:b665795328 . _:b665176632 . _:b678849550 . _:b665857362 . _:b668378622 . _:b678849551 . _:b674348717 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b665857361 . _:b665122346 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b665795330 . _:b665122205 . _:b665857021 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b678849544 . _:b665857360 . _:b665970753 . _:b665970812 . _:b678849545 . _:b665122200 . _:b665857455 . _:b665176619 . _:b665970752 . _:b678849546 . _:b665857454 . _:b665122203 . _:b665176612 . _:b668378620 . _:b678849547 . _:b665122202 . _:b665857453 . _:b665122201 . _:b665795334 . _:b665970815 . _:b678849540 . _:b665857376 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665122197 . _:b665971114 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665857452 . _:b665176622 . _:b665970809 . _:b665122198 . _:b668378619 . _:b678849541 . _:b665970814 . _:b666093087 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b665795331 . _:b665857451 . _:b663276258 . _:b665970808 . _:b668378617 . _:b665122196 . _:b668378616 . _:b678849542 . _:b665970813 . _:b665970811 . _:b665857450 . _:b665176608 . _:b665176623 . _:b674348577 . _:b678849543 . _:b665970810 . _:b665857449 . _:b665176609 . _:b665793510 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b678849536 . _:b665122193 . _:b665857448 . _:b665176610 . _:b665122194 . _:b665176618 . _:b678849537 . _:b665857447 . _:b665176611 . _:b668378613 . _:b665970755 . _:b678849538 . _:b665122195 . _:b668378612 . _:b663276381 . _:b665857446 . _:b663276382 . _:b665857445 . _:b674348591 . _:b665176613 . _:b665458936 "All continuant parts of spatial regions are spatial regions.\u00A0(axiom label in BFO2 Reference: [036-001])"@en . _:b663276400 . _:b668378614 . _:b665857444 . _:b665176614 . _:b665122189 . _:b665122188 . _:b665970756 . _:b665857443 . _:b665122191 . _:b665970757 . _:b665970759 . _:b665857442 . "Lawrence Hunter"@en . _:b665176600 . _:b665970758 . _:b674348584 . _:b665122190 . _:b668378609 . _:b663276399 . _:b665176601 . _:b665857441 . _:b668378610 . _:b665857440 . _:b666092767 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665176602 . _:b665857471 . _:b665176603 . _:b668378606 . _:b665122187 . _:b665970802 . _:b665857470 . _:b665176604 . _:b665122184 . _:b665971130 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668378607 . _:b663276397 . _:b665793661 . _:b665970801 . _:b665970760 . _:b665122186 . _:b665970763 . _:b665857469 . _:b668716694 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665176605 . _:b665970803 . _:b665122181 . _:b663277893 . _:b665857468 . _:b665176606 . _:b665970805 . _:b665970807 . _:b665970928 . _:b665970804 . _:b665857467 . _:b665176607 . _:b665970767 . _:b665970766 . _:b665122183 . _:b665857466 . _:b665176592 . _:b665122180 . _:b665970764 . _:b665970800 . _:b665970765 . _:b662810219 . _:b665857465 . _:b665176593 . _:b665970806 . _:b665122182 . _:b665970794 . _:b665795633 "a one-dimensional continuant fiat boundary is a continuous fiat line whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [032-001])"@en . _:b665857464 . _:b665176594 . _:b665970798 . _:b665970770 . _:b675160824 "A three-dimensional spatial region is a spatial region that is of three dimensions. (axiom label in BFO2 Reference: [040-001])"@en . _:b665970795 . _:b665857463 . _:b665176595 . _:b665970771 . _:b665970775 . _:b665970773 . _:b665122179 . _:b662810216 . _:b665970799 . _:b665857462 . _:b665176596 . _:b665970774 . _:b668378628 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665970769 . _:b665857461 . _:b665176597 . _:b665970768 . _:b678849644 . _:b665795207 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b665970772 . _:b662810222 . _:b665857460 . _:b665176598 . _:b665970796 . _:b678849645 . _:b665857459 . _:b665176599 . _:b665970797 . _:b678849646 . _:b665857458 . _:b665857457 . _:b665971102 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b678849640 . _:b665970784 . _:b665857456 . _:b665176586 . _:b678849641 . _:b665857423 . _:b665176587 . _:b665970790 . _:b665970782 . _:b678849642 . _:b665970780 . _:b663276493 . _:b665857422 . _:b665176588 . _:b678849643 . _:b665970781 . _:b665857421 . _:b665176589 . _:b665793462 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665176581 . _:b678849636 . _:b665857420 . _:b663276229 . _:b665176590 . _:b665970778 . _:b665970779 . _:b678849637 . _:b665857419 . _:b665176591 . _:b678849638 . _:b665795125 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b662809723 "(forall (x) (if (OneDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [103-001] " . _:b665857418 . _:b665176576 . _:b665970776 . _:b678849639 . _:b665795126 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b665857417 . _:b665176577 . _:b665970777 . _:b678849632 . _:b663276395 . _:b665857416 . _:b665795541 . _:b665176578 . _:b665795375 . _:b665971109 . _:b678849633 . _:b663276393 . _:b665857415 . _:b665795746 . _:b665176579 . _:b663276573 . _:b665971100 . _:b678849634 . _:b665857414 . _:b665176580 . _:b663276572 . _:b663276396 . _:b678849635 . _:b665971111 . _:b663276575 . _:b665971103 . _:b665857413 . _:b665971102 . _:b678849628 . _:b665857412 . _:b665176582 . _:b665793495 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b665971115 . _:b665971108 . _:b663276574 . _:b663276398 . _:b678849629 . _:b665857411 . _:b665176583 . _:b665970769 "All parts of spatiotemporal regions are spatiotemporal regions.\u00A0(axiom label in BFO2 Reference: [096-001])"@en . _:b665971096 . _:b678849630 . _:b665857410 . _:b665971110 . _:b665971113 . _:b665971107 . _:b665459269 . _:b678849631 . _:b663276571 . _:b665971099 . _:b665857409 . _:b663276414 . _:b678849624 . _:b665971098 . _:b663276568 . _:b665857408 . _:b665971093 . _:b663276570 . _:b665971095 . _:b678849625 . _:b662810225 . _:b665857439 . _:b663276565 . _:b665795412 . _:b678849626 . _:b665857438 . _:b674348354 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b662809928 . _:b678849627 . _:b665971092 . _:b665857437 . _:b663276567 . _:b663276564 . _:b678849620 . _:b665857436 . _:b663276566 . _:b678849621 . _:b665857435 . _:b678849622 . _:b665857434 . _:b663276560 . _:b662809935 . _:b678849623 . _:b665857433 . _:b663276240 . _:b663276563 . _:b678849616 . _:b665857432 . _:b665122002 "b is a relational quality = Def. for some independent continuants c, d and for some time t: b quality_of c at t & b quality_of d at t. (axiom label in BFO2 Reference: [057-001])"@en . _:b665795405 . _:b663276561 . _:b678849617 . _:b662809921 . _:b665857431 . _:b663276254 . _:b663276415 . _:b678849618 . _:b665857430 . _:b663276556 . _:b665458935 "A spatial region is a continuant entity that is a continuant_part_of spaceR as defined relative to some frame R. (axiom label in BFO2 Reference: [035-001])"@en . _:b665793641 . _:b678849619 . _:b665857429 . _:b674348285 . _:b663277931 . _:b663276559 . _:b678849612 . _:b665971125 . _:b665857428 . _:b674348286 . _:b663276558 . _:b663276557 . _:b678849613 . _:b665857427 . _:b674348287 . _:b663276553 . _:b663276554 . _:b678849614 . _:b665857426 . _:b663276552 . _:b665971126 . _:b665971124 . _:b678849615 . _:b665857425 . _:b665971127 . _:b678849608 . _:b665857424 . _:b678849609 . _:b665971128 . _:b665857519 . _:b663276549 . _:b663276550 . _:b678849610 . _:b665857518 . _:b678849611 . _:b665857517 . _:b663276551 . _:b675160816 "(forall (x) (if (FiatObjectPart x) (and (MaterialEntity x) (forall (t) (if (existsAt x t) (exists (y) (and (Object y) (properContinuantPartOfAt x y t)))))))) // axiom label in BFO2 CLIF: [027-004] " . _:b665971129 . _:b678849604 . _:b665971132 . _:b665971134 . _:b665857516 . _:b665971135 . _:b678849605 . _:b665857515 . _:b678849606 . _:b665857514 . _:b678849607 . _:b665857513 . _:b665971133 . _:b678849600 . _:b665857512 . _:b678849601 . _:b665857511 . _:b678849602 . _:b665857510 . "IDs allocated to related efforts: PNO: IAO_0020000-IAO_0020999, D_ACTS: IAO_0021000-IAO_0021999"^^ . _:b665971130 . _:b678849603 . _:b665857509 . _:b668378607 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665971131 . _:b665971123 . _:b665857508 . _:b662809942 . _:b675160345 . _:b665795262 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b665857507 . _:b668716930 . _:b665857506 . _:b663276236 . _:b665857505 . _:b665857504 . _:b665459106 . _:b665971121 . _:b665857535 . _:b665970793 "(forall (x) (if (Role x) (RealizableEntity x))) // axiom label in BFO2 CLIF: [061-001] " . _:b665971120 . _:b665857534 . _:b665857533 . _:b665971122 . _:b665857532 . _:b665857531 . _:b665459113 . _:b665857530 . _:b665793580 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b665857529 . _:b665857528 . _:b665971116 . _:b665857527 . _:b668716445 . _:b665971117 . _:b665857526 . _:b665857525 . _:b675160366 . _:b665857524 . _:b665971112 . _:b665459118 . _:b668716284 . _:b665857523 . _:b665122448 . _:b668716285 . _:b665857522 . _:b668716755 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b662810126 . _:b665971114 . _:b665971119 . _:b665857521 . _:b665857520 . _:b668716325 "if b is a continuant and if, for some t, cis continuant_part of b at t, then c is a continuant. (axiom label in BFO2 Reference: [009-002])"@en . _:b665857487 . _:b668378744 . _:b665971097 . _:b668378745 . _:b665857486 . _:b665122436 . _:b665122455 . _:b665857485 . _:b675160357 . _:b674016442 . _:b665857484 . _:b665176353 . _:b665971106 . _:b665857483 . _:b665971101 . _:b665857482 . _:b674348287 . _:b665971105 . _:b665971118 . _:b665857481 . _:b674348286 . _:b665971127 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665794145 "2024-09-28T11:27:06.966335"^^ . _:b665857480 . _:b674348285 . _:b668378742 . _:b665971163 . _:b665857479 . _:b674348284 . _:b665971167 . _:b665857478 . _:b674348283 . _:b675160590 . _:b665857477 . _:b674348741 "(iff (ProcessBoundary a) (exists (p) (and (Process p) (temporalPartOf a p) (not (exists (b) (properTemporalPartOf b a)))))) // axiom label in BFO2 CLIF: [084-001] " . _:b665857476 . _:b665857475 . _:b665971165 . _:b665971164 . _:b665857474 . _:b665971166 . _:b675160360 . _:b665857473 . _:b674348337 . _:b665795688 . _:b665971152 . _:b665857472 . _:b665971159 . _:b665971153 . _:b665971180 . _:b665857503 . _:b668716581 . _:b665971181 . _:b665122453 . _:b665857502 . _:b674348291 . _:b665857501 . _:b674348290 . _:b665971183 . _:b665857500 . _:b674348289 . _:b665795695 . _:b665971177 . _:b662810041 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b665971182 . _:b665857499 . _:b674348343 . _:b674348288 . _:b665971179 . _:b665857498 . _:b665857497 . _:b665795696 . _:b665971178 . _:b665122442 . _:b665857496 . _:b665971185 . _:b665857495 . _:b668716884 . _:b665857494 . _:b665857493 . _:b668716479 . _:b665971186 . _:b665857492 . _:b668716478 . _:b665971184 . _:b665970967 . _:b665857491 . _:b663276542 . _:b665857490 . _:b665857489 . _:b665857488 . _:b668378931 . _:b665122356 "A material entity is an independent continuant that has some portion of matter as proper or improper continuant part. (axiom label in BFO2 Reference: [019-002])"@en . _:b678849841 . _:b665122196 . _:b665857583 . _:b663276540 . _:b665857582 . _:b665857581 . _:b665795663 . _:b665857580 . _:b674348326 . _:b668379115 . _:b665971199 . _:b674348265 . _:b665795661 . _:b665857579 . _:b674348327 . _:b665795693 . _:b665971198 . _:b665857578 . _:b674348328 . _:b665795650 . _:b665795649 . _:b665795664 . _:b665857577 . _:b674348329 . _:b665795514 . _:b665971138 . _:b665857576 . _:b665795666 . _:b665857575 . _:b665971195 . _:b665971139 . _:b665857574 . _:b665971136 . _:b665971142 . _:b665971137 . _:b665794037 . _:b665971192 . _:b668378738 . _:b665857573 . _:b674348333 . _:b665971193 . _:b665971143 . _:b665971194 . _:b665857572 . _:b665971141 . _:b665857571 . _:b665122203 . _:b674016837 . _:b665857570 . _:b668716448 . _:b665971140 . _:b665971196 . _:b668378741 . _:b665795687 . _:b665857569 . _:b665793839 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b665971197 . _:b665971150 . _:b668378740 . _:b665857568 . _:b668378727 . _:b668378743 . _:b665971151 . _:b662809681 "b is a disposition means: b is a realizable entity & b\u2019s bearer is some material entity & b is such that if it ceases to exist, then its bearer is physically changed, & b\u2019s realization occurs when and because this bearer is in some special physical circumstances, & this realization occurs in virtue of the bearer\u2019s physical make-up. (axiom label in BFO2 Reference: [062-002])"@en . _:b665857599 . _:b662809952 . _:b665857598 . _:b674348308 . _:b668378726 . _:b665971190 . _:b665176310 . _:b665971149 . _:b665857597 . _:b665971148 . _:b665857596 . _:b665971191 . _:b665971146 . _:b665857595 . _:b665971147 . _:b665795683 . _:b665857594 . _:b665971189 . _:b665971144 . _:b665176314 . _:b665971188 . _:b674016844 . _:b665857593 . _:b674348313 . _:b665459263 . _:b665971187 . _:b665971145 . _:b665857592 . _:b674348314 . _:b665459260 . _:b665122189 . _:b665971158 . _:b665857591 . _:b663276517 . _:b665122262 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665857590 . _:b665795684 . _:b674016418 . _:b665971155 . _:b665795685 . _:b665857589 . _:b665971156 . _:b665971176 . _:b665795686 . _:b665857588 . _:b665971157 . _:b668716348 . _:b665459529 . _:b665857587 . _:b665971154 . _:b668716349 . _:b665857586 . _:b665795665 . _:b668716350 . _:b665857585 . _:b665122427 . _:b665795668 . _:b668716351 . _:b665857584 . _:b665795227 "Specifically dependent continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. We're not sure what else will develop here, but for example there are questions such as what are promises, obligation, etc."@en . _:b665971171 . _:b668716344 . _:b665857551 . _:b678849628 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b665971170 . _:b668716345 . _:b665857550 . _:b668716346 . _:b665857549 . _:b665795667 . _:b665459248 . _:b668716347 . _:b665795682 . _:b665857548 . _:b665971162 . _:b665971172 . _:b668716340 . _:b665971168 . _:b665857547 . _:b668716489 . _:b665971173 . _:b668716341 . _:b665794030 . _:b665176299 . _:b665857546 . _:b674348296 . _:b668716488 . _:b665971175 . _:b665795506 . _:b668716342 . _:b665971160 . _:b665857545 . _:b674348297 . _:b665971161 . _:b665971174 . _:b665970908 . _:b665971169 . _:b668716343 . _:b665176297 . _:b665857544 . _:b665795516 . _:b668716336 . _:b665857543 . _:b668716493 . _:b665176303 . _:b668716337 . _:b665857542 . _:b668716338 . _:b665857541 . _:b674348301 . _:b665971030 . _:b665970783 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b668716339 . _:b665857540 . _:b674348302 . _:b662809789 . _:b668716332 . _:b665857539 . _:b665971016 . _:b668716333 . _:b674348698 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665857538 . _:b668716334 . _:b665857537 . _:b665795691 . _:b668716335 . _:b665857536 . _:b668378611 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665122410 . _:b668716328 . _:b665857567 . _:b668716329 . _:b665857566 . _:b668716484 . _:b665971023 . _:b668716330 . _:b665857565 . _:b668716487 . _:b665122409 . _:b665795137 . _:b665857564 . _:b668716486 . _:b665971009 . _:b668716324 . _:b665857563 . _:b665176831 . _:b665122401 . _:b668716325 . _:b665857562 . _:b665176816 . _:b665122404 . _:b665122402 . _:b668716326 . _:b663276524 . _:b665857561 . _:b665122405 . _:b663276539 . _:b668716327 . _:b663276536 . _:b665857560 . _:b668716320 . _:b663276538 . _:b665857559 . _:b663276541 . _:b663276214 . _:b665857558 . _:b668716322 . _:b665857557 . _:b668716942 . _:b665176821 . _:b668716323 . _:b665857556 . _:b663276382 . _:b665857555 . _:b665795147 . _:b663276381 . _:b663276416 . _:b665176808 . _:b665857554 . _:b674016310 "(forall (x t) (if (SpatioTemporalRegion x) (exists (y) (and (SpatialRegion y) (spatiallyProjectsOntoAt x y t))))) // axiom label in BFO2 CLIF: [099-001] " . _:b663276417 . _:b665857553 . _:b663276418 . _:b668716319 . _:b665857552 . _:b675160388 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b674348311 . _:b668378599 . _:b665176803 . _:b665176812 . _:b675160540 . _:b665794072 . _:b665857643 . _:b665176807 . _:b674348316 . _:b665857642 . _:b674348317 . _:b665857641 . _:b665176801 . _:b665176809 . _:b668716572 . _:b665857640 . _:b665176802 . _:b665857639 . _:b674348312 . _:b665857638 . _:b665176804 . _:b665122384 . _:b674348313 . _:b665857637 . _:b674348314 . _:b665857636 . _:b665122394 . _:b675160689 . _:b674348315 . _:b665857635 . _:b668378603 . _:b665176815 . _:b665857634 . _:b665857633 . _:b665122392 . _:b665857632 . _:b674348370 . _:b665176794 . _:b665176786 . _:b665176788 . _:b663276423 . _:b665176798 . _:b678849845 . _:b674348376 . _:b674348377 . _:b665176793 . _:b678849842 . _:b665970758 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b665176787 . _:b663277626 . _:b665176797 . _:b665795258 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b668716412 . _:b666093091 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b668716413 . _:b665176435 "b is an object means: b is a material entity which manifests causal unity of one or other of the types CUn listed above & is of a type (a material universal) instances of which are maximal relative to this criterion of causal unity. (axiom label in BFO2 Reference: [024-001])"@en . _:b668716414 . _:b662810209 . _:b665176769 . _:b668716415 . _:b665176770 . _:b668716408 . _:b665857615 . _:b663276405 . _:b663276435 . _:b668716409 . _:b665857614 . _:b668716410 . _:b665857613 . _:b668716411 . _:b665857612 . . _:b668716404 . _:b665857611 . _:b668716405 . _:b665857610 . _:b674348395 . _:b665176776 . _:b668716406 . _:b675160721 . _:b665857609 . _:b674348394 . _:b665176777 . _:b668716407 . _:b665857608 . _:b665795597 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b674348358 "b is an object aggregate means: b is a material entity consisting exactly of a plurality of objects as member_parts at all times at which b exists. (axiom label in BFO2 Reference: [025-004])"@en . _:b668378574 . _:b665122484 . _:b668716400 . _:b665857607 . _:b668378997 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b663276462 . _:b668716401 . _:b665122485 . _:b665857606 . _:b663276463 . _:b665176780 . _:b665122486 . _:b668716402 . _:b674348381 . _:b665857605 . _:b665176781 . _:b668716403 . _:b674348382 . _:b665857604 . _:b668716396 . _:b674348383 . _:b665857603 . _:b674348396 . _:b668716397 . _:b665857602 . _:b662810247 . _:b668716398 . _:b665857601 . _:b668716399 . _:b665857600 . _:b668716392 . _:b675160731 . _:b663276464 . _:b665857631 . _:b668716393 . _:b665857630 . _:b668716394 . _:b665857629 . _:b665176764 . _:b668716395 . _:b665857628 . _:b668716388 . _:b665857627 . _:b668716389 . _:b665857626 . _:b663276384 . _:b668716390 . _:b665795761 . _:b665857625 . _:b668716391 . _:b665857624 . _:b668716384 . _:b665857623 . _:b665459405 . _:b668716385 . _:b665857622 . _:b668716386 . _:b663276419 . _:b668378869 . _:b665795792 . _:b665857621 . _:b668716387 . _:b665857620 . _:b668716380 . _:b665857619 . _:b668716381 . _:b665857618 . . _:b668716382 . _:b674348329 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b665857617 . . _:b668378585 . _:b668716383 . _:b665857616 . _:b668716376 . _:b668378616 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b668716377 . _:b665122192 _:b665122197 . _:b668716378 . _:b665122192 _:b665122193 . _:b668716379 . _:b665176824 . _:b668716372 . _:b675160574 . _:b668716373 . _:b675160821 "ISBN:978-3-938793-98-5pp124-158#Thomas Bittner and Barry Smith, 'A Theory of Granular Partitions', in K. Munn and B. Smith (eds.), Applied Ontology: An Introduction, Frankfurt/Lancaster: ontos, 2008, 125-158." . _:b668716374 . _:b665122199 _:b665122200 . _:b665122199 _:b665122204 . _:b668716375 . _:b665176828 . _:b668716368 . _:b665122453 . _:b668716369 . _:b668716370 . _:b668716371 . _:b678849916 . _:b665176829 . _:b668378690 . _:b665122440 . _:b668716364 . _:b678849917 . _:b668378691 . _:b665176830 . _:b678849918 . _:b668716365 . _:b665122185 _:b665122186 . _:b665122185 _:b665122190 . _:b668378688 . _:b668716366 . _:b678849919 . _:b665795803 . _:b668378689 . _:b668379098 . _:b678849912 . _:b668716367 . _:b668378694 . _:b665176825 . _:b678849997 "b is a continuant fiat boundary = Def. b is an immaterial entity that is of zero, one or two dimensions and does not include a spatial region as part. (axiom label in BFO2 Reference: [029-001])"@en . _:b668716360 . _:b678849913 . _:b668378695 . _:b665176826 . _:b678849914 . _:b668716361 . _:b665795805 . _:b668378692 . _:b665122446 . _:b665176827 . _:b668716362 . _:b678849915 . _:b668378693 . _:b668716363 . _:b668378698 . _:b665122432 . _:b678849909 . _:b668716356 . _:b665795806 . _:b665176820 . _:b665122178 _:b665122179 . _:b665795809 . _:b668378699 . _:b665122178 _:b665122183 . _:b665176822 . _:b665795811 . _:b665122433 . _:b678849910 . _:b668716357 . _:b665176823 . _:b668378696 . _:b665795808 . _:b665122434 . _:b678849911 . _:b668716358 . _:b665459535 . _:b668378697 . _:b665176819 . _:b678849904 . _:b668716359 . _:b668378702 . _:b668716352 . _:b678849905 . _:b668378703 . _:b668716445 . _:b668716353 . _:b678849906 . _:b668378700 . _:b665795812 . _:b668716354 . _:b678849907 . _:b665795813 . _:b668378701 . _:b665795814 . _:b678849900 . _:b668716355 . _:b668378706 . _:b665795807 . _:b678849901 . _:b675160581 . _:b668378707 . _:b668378768 . _:b678849902 . _:b668378704 . _:b665122536 . _:b678849903 . _:b668378705 . _:b665857414 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b678849896 . _:b668378710 . _:b678849897 . _:b668378711 . _:b668378708 . _:b678849899 . _:b665857170 . _:b668378709 . _:b665176884 "(forall (x) (if (exists (t) (and (existsAt x t) (Quality x))) (forall (t_1) (if (existsAt x t_1) (Quality x))))) // axiom label in BFO2 CLIF: [105-001] " . _:b668378714 . _:b668378761 . _:b668378762 . _:b668378715 . _:b668378760 . _:b668378759 . _:b668378763 . _:b665122534 . _:b668378712 . _:b668378713 . _:b665122135 . _:b668378718 . _:b665459243 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668378719 . _:b665459244 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668378716 . _:b668378717 . _:b668378722 . _:b668378723 . _:b665795705 . _:b668378720 . _:b668378721 . _:b668378726 . _:b668378727 . _:b668378724 . _:b668378725 . _:b665122375 . _:b668378730 . _:b665795145 . _:b665795576 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b668378731 . _:b665459147 . _:b668378728 . _:b668378729 . _:b674348733 . _:b668378734 . _:b665122532 . _:b668716941 . _:b668378735 . _:b668378732 . _:b668379119 . _:b668378733 . _:b662810238 . _:b668378738 . _:b668378739 . _:b668378736 . _:b668378737 . _:b665176658 . _:b668378742 . _:b668378743 . _:b668378740 . _:b668378741 . _:b665459380 "Continuant fiat boundary doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the mereological sum of two-dimensional continuant fiat boundary and a one dimensional continuant fiat boundary that doesn't overlap it. The situation is analogous to temporal and spatial regions."@en . _:b668378746 . _:b665122512 . _:b678849861 . _:b668716436 . _:b668378747 . _:b665795730 . _:b678849862 . _:b668716437 . _:b668379036 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b668378744 . _:b665795731 . _:b665176651 . _:b668716438 . _:b665970896 . _:b665122514 . _:b668378745 . _:b665122515 . _:b668378750 . _:b665176356 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b665122516 . _:b668716432 . _:b668378751 . _:b665122517 . _:b668716433 . _:b668378748 . _:b665795799 . _:b665122518 . _:b668716434 . _:b668378749 . _:b678849614 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665122519 . _:b678849980 . _:b668716435 . _:b668378626 . _:b668716573 . _:b665122504 . _:b678849981 . _:b668716428 . _:b668378764 . _:b665795732 . _:b668378627 . _:b665122505 . _:b678849982 . _:b668716429 . _:b665857643 . _:b668378624 . _:b666093071 "if b is a continuant and if, for some t, c has_continuant_part b at t, then c is a continuant. (axiom label in BFO2 Reference: [126-001])"@en . _:b668716430 . _:b678849983 . _:b668378625 . _:b663277723 . _:b665122507 . _:b678849976 . _:b668716431 . _:b668378807 . _:b665177004 . _:b668378630 . _:b665793705 . _:b678849977 . _:b668716424 . _:b665122508 . _:b665795397 . _:b668378631 . _:b665176644 . _:b678849978 . _:b668716425 . _:b665122509 . _:b663277715 . _:b668378628 . _:b665122510 . _:b678849979 . _:b668716426 . _:b663277714 . _:b668378629 . _:b665122511 . _:b678849972 . _:b668716427 . _:b668378634 . _:b663277724 . _:b668378808 . _:b665122496 . _:b678849973 . _:b668716420 . _:b668378635 . _:b668378809 . _:b663276481 . _:b665122497 . _:b678849974 . _:b668716421 . _:b668378632 . _:b665122498 . _:b678849975 . _:b668716422 . _:b665122443 . _:b668378633 . _:b665122499 . _:b678849968 . _:b668716423 . _:b665793427 . _:b668378638 . _:b665122500 . _:b678849969 . _:b668716416 . _:b663277747 . _:b668378639 . _:b674016382 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665122501 . _:b678849970 . _:b668716417 . _:b663277703 . _:b668378636 . _:b665122502 . _:b678849971 . _:b668716418 . _:b668378637 . _:b665122503 . _:b678849964 . _:b668716419 . _:b663277750 . _:b665121917 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b668378642 . _:b678849965 . _:b668378643 . _:b663276489 . _:b678849966 . _:b663277748 . _:b668378640 . _:b678849967 . _:b663277706 . _:b665793428 . _:b668378641 . _:b663277749 . _:b665795582 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b678849960 . _:b663277705 . _:b674348736 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b665793571 "(iff (ProcessProfile a) (exists (b) (and (Process b) (processProfileOf a b)))) // axiom label in BFO2 CLIF: [093-002] " . _:b668378646 . _:b678849961 . _:b665795739 . _:b663277704 . _:b668378647 . _:b678849962 . _:b663277710 . _:b668378644 . _:b678849963 . _:b663277711 . _:b668378645 . _:b678849956 . _:b668378650 . _:b678849957 . _:b668378651 . _:b678849958 . _:b668378648 . _:b678849959 . _:b668378649 . _:b665122456 . _:b678849952 . _:b668378654 . _:b678849953 . _:b668378655 . _:b678849954 . _:b668378652 . _:b663276527 . _:b678849955 . _:b668378653 . _:b678849948 . _:b668378658 . _:b678849949 . _:b668378659 . _:b678849950 . _:b668378656 . _:b663276524 . _:b678849951 . _:b668378657 . _:b678849944 . _:b668378662 . _:b665122449 . _:b678849945 . _:b663277700 . _:b668378663 . _:b678849946 . _:b668378660 . _:b674348304 "(forall (x t) (if (and (IndependentContinuant x) (existsAt x t)) (exists (y) (and (Entity y) (specificallyDependsOnAt y x t))))) // axiom label in BFO2 CLIF: [018-002] " . _:b678849947 . _:b668378661 . _:b678849940 . _:b665857586 . _:b663277697 . _:b668378666 . _:b678849941 . _:b668378667 . _:b678849942 . _:b663277699 . _:b668378664 . _:b678849943 . _:b663277698 . _:b668378665 . _:b663277728 . _:b678849936 . _:b675160352 . _:b668378670 . _:b665122084 . _:b663277742 . _:b678849937 . _:b663277729 . _:b668378671 . _:b678849938 . _:b668378668 . _:b678849939 . _:b668378669 . _:b678849932 . _:b668378674 . _:b678849933 . _:b665795654 . _:b668378675 . _:b663276521 . _:b678849934 . _:b663277738 . _:b668378672 . _:b663276520 . _:b678849935 . _:b663277739 . _:b668378673 . _:b678849928 . _:b663277736 . _:b668378678 . _:b678849929 . _:b663277737 . _:b665795675 . _:b668378679 . _:b665122077 . _:b678849930 . _:b675160362 . _:b668378676 . _:b678849931 . _:b668378677 . _:b678849924 . _:b663277740 . _:b663277726 . _:b668378682 . _:b663277746 . _:b665122064 . _:b678849925 . _:b663277730 . _:b663277741 . _:b663277727 . _:b665857002 "(forall (x y) (if (and (SpatioTemporalRegion x) (occurrentPartOf y x)) (SpatioTemporalRegion y))) // axiom label in BFO2 CLIF: [096-001] " . _:b668378683 . _:b665122065 . _:b678849926 . _:b668378680 . _:b678849927 . _:b668378681 . _:b663277745 . _:b678849920 . _:b668378686 . _:b678849921 . _:b668378687 . _:b678849922 . _:b668378684 . _:b665857007 "Each spatiotemporal region at any time t projects_onto some spatial region at t. (axiom label in BFO2 Reference: [099-001])"@en . _:b678849923 . _:b663277770 . _:b668378685 . _:b665122071 . _:b663277718 . _:b665122573 . _:b668378818 . _:b665122574 . _:b674016648 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b665122572 . _:b668378819 . _:b666093139 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b668378816 . _:b665122058 . _:b668378817 . _:b663277752 . _:b665122569 . _:b668378822 . _:b665122570 . _:b663277751 . _:b668378823 . _:b675160757 "Occurrent doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. An example would be the sum of a process and the process boundary of another process."@en . _:b663277751 . _:b665795266 "b is a process_profile =Def. there is some process c such that b process_profile_of c (axiom label in BFO2 Reference: [093-002])"@en . _:b665122571 . _:b668378820 . _:b668378821 . _:b665122063 . _:b663276423 . _:b665971221 . _:b668378826 . _:b665122565 . _:b665122564 . _:b668378827 . _:b665122567 . _:b663277747 . _:b663277767 . _:b668378824 . _:b663277712 . _:b665122566 . _:b668378825 . _:b663277713 . _:b668378830 . _:b665176637 . _:b668378831 . _:b665122563 . _:b665795680 . _:b668378828 . _:b665122560 . _:b665122562 . _:b668378829 . _:b668378834 . _:b668378883 . _:b668378880 . _:b668378835 . _:b663277707 . _:b668378882 . _:b668378832 . _:b668378885 . _:b668378833 . _:b663277809 . _:b668378838 . _:b663277808 . _:b668378839 . _:b665122261 . _:b663277811 . _:b668378836 . _:b665459476 . _:b663277810 . _:b668378837 . _:b668378842 . _:b668378889 . _:b665795289 . _:b668378890 . _:b668378843 . _:b665793949 "(forall (x) (if (ZeroDimensionalTemporalRegion x) (TemporalRegion x))) // axiom label in BFO2 CLIF: [102-001] " . _:b668378990 "An occurrent is an entity that unfolds itself in time or it is the instantaneous boundary of such an entity (for example a beginning or an ending) or it is a temporal or spatiotemporal region which such an entity occupies_temporal_region or occupies_spatiotemporal_region. (axiom label in BFO2 Reference: [077-002])"@en . _:b668378888 . _:b668378891 . _:b668716369 . _:b663277815 . _:b668378840 . _:b668716370 . _:b668378841 . _:b665459483 . _:b665122163 . _:b666092755 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b663277801 . _:b668378846 . _:b663277716 . _:b663277726 . _:b663276352 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b663277800 . _:b668378847 . _:b663276477 . _:b663277717 . _:b668378844 . _:b674016333 "(forall (x) (if (Quality x) (SpecificallyDependentContinuant x))) // axiom label in BFO2 CLIF: [055-001] " . _:b663277718 . _:b668378845 . _:b663277719 . _:b678850012 . _:b668378750 . _:b668378850 . _:b678850013 . _:b668378851 . _:b678850014 . _:b668378848 . _:b678850015 . _:b663277806 . _:b668378849 . _:b665122305 "(forall (x) (if (SpatioTemporalRegion x) (exists (y) (and (TemporalRegion y) (temporallyProjectsOnto x y))))) // axiom label in BFO2 CLIF: [098-001] " . _:b678850008 . _:b668378780 . _:b668378854 . _:b678850009 . _:b668378855 . _:b678850010 . _:b668378852 . _:b665857051 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b678850011 . _:b668378853 . _:b665795286 . _:b678850004 . _:b668378858 . _:b663277720 . _:b678850005 . _:b665122165 . _:b668378859 . _:b674016269 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b665122145 . _:b678850006 . _:b665971271 . _:b668378856 . _:b665122146 . _:b678850007 . _:b665971211 "A history is a process that is the sum of the totality of processes taking place in the spatiotemporal region occupied by a material entity or site, including processes on the surface of the entity or within the cavities to which it serves as host. (axiom label in BFO2 Reference: [138-001])"@en . _:b668378857 . _:b665122147 . _:b678850000 . _:b666092911 . _:b668378862 . _:b665122148 . _:b678850001 . _:b668378667 "(forall (x) (if (ZeroDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [037-001] " . _:b668378863 . _:b665122149 . _:b678850002 . _:b665122167 . _:b668378860 . _:b665122150 . _:b678850003 . _:b668378861 . _:b663277903 . _:b678849996 . _:b668378866 . _:b665122136 . _:b678849997 . _:b668378729 . _:b668378867 . _:b678849998 . _:b668378864 . _:b665122138 . _:b678849999 . _:b668378865 . _:b665122139 . _:b678849992 . _:b668378870 . _:b665122140 . _:b678849993 . _:b668716561 . _:b668378871 . _:b665122141 . _:b678849994 . _:b665122003 "(iff (RelationalQuality a) (exists (b c t) (and (IndependentContinuant b) (IndependentContinuant c) (qualityOfAt a b t) (qualityOfAt a c t)))) // axiom label in BFO2 CLIF: [057-001] " . _:b668378868 . _:b665122142 . _:b678849995 . _:b668378869 . _:b665122143 . _:b678849988 . _:b668716326 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b668378874 . _:b665458899 . _:b678849989 . _:b665122128 . "The Information Artifact Ontology (IAO) is an ontology of information entities, originally driven by work by the OBI digital entity and realizable information entity branch." . _:b668378875 . _:b665795320 . _:b665122129 . _:b678849990 . _:b666093099 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b668378872 . _:b665122130 . _:b678849991 . _:b668378873 . _:b675160546 . _:b665122131 . _:b678849984 . _:b668378878 . _:b665795325 . _:b665122132 . _:b678849985 . _:b668378879 . _:b665458893 . _:b678849986 . _:b665122133 . _:b668378876 . _:b665795327 . _:b674016751 "(iff (TwoDimensionalContinuantFiatBoundary a) (and (ContinuantFiatBoundary a) (exists (b) (and (TwoDimensionalSpatialRegion b) (forall (t) (locatedInAt a b t)))))) // axiom label in BFO2 CLIF: [033-001] " . _:b665458890 . _:b678849987 . _:b665122134 . _:b668378877 . _:b665122135 . _:b665970733 "(forall (x) (if (Continuant x) (Entity x))) // axiom label in BFO2 CLIF: [008-002] " . _:b668378754 . _:b668378755 . _:b663277691 . _:b668378752 . _:b678849630 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665459488 . _:b668378753 . _:b665795287 . _:b668378758 . _:b668378759 . _:b668378756 . _:b665795319 . _:b668378757 . _:b668378886 . _:b665122127 . _:b668378762 . _:b668378763 . _:b668378760 . _:b668378884 . _:b662809877 . _:b668378761 . _:b665122115 . _:b668378766 . _:b665122116 . _:b668378767 . _:b663277756 "a zero-dimensional continuant fiat boundary is a fiat point whose location is defined in relation to some material entity. (axiom label in BFO2 Reference: [031-001])"@en . _:b665122117 . _:b668378764 . _:b668378765 . _:b668378770 . _:b674016321 . _:b668378771 . _:b663277655 . _:b668379133 . _:b668378768 . _:b678849954 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b674016323 . _:b663277654 . _:b668378769 . _:b674016322 . _:b663277657 . _:b668378774 . _:b663277656 . _:b668378775 . _:b674016324 . _:b668379095 . _:b663277659 . _:b668378772 . _:b663277658 . _:b668378773 . _:b665122209 . _:b668378778 . _:b665122073 . _:b665122208 . _:b663277660 . _:b668378779 . _:b668379096 . _:b666093066 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b668378776 . _:b668378777 . _:b665122221 . _:b668378782 . _:b665176841 "For every independent continuant b and time t during the region of time spanned by its life, there are entities which s-depends_on b during t. (axiom label in BFO2 Reference: [018-002])"@en . _:b665121893 "An entity is anything that exists or has existed or will exist. (axiom label in BFO2 Reference: [001-001])"@en . _:b665857042 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b668378783 . _:b668378780 . _:b665122079 . _:b666093126 "A zero-dimensional spatial region is a point in space. (axiom label in BFO2 Reference: [037-001])"@en . _:b668378781 . _:b674016787 . _:b663277661 . _:b668378786 . _:b668378787 . _:b665122067 . _:b668716653 . _:b668378784 . _:b668379114 . _:b668716654 . _:b668716332 "per discussion with Barry Smith" . _:b668378785 . _:b668378790 . _:b675160797 . _:b668378791 . _:b662809757 . _:b675160796 . _:b668378788 . _:b668379113 . _:b675160799 . _:b668378789 . _:b665122225 . _:b675160798 . _:b668378794 . _:b678850065 . _:b668378795 . _:b675160719 . _:b678850064 . _:b668378792 . _:b668378793 . _:b678850066 . _:b668378798 . _:b668378799 . _:b668379111 . _:b668378796 . _:b668378797 . _:b668379107 . _:b678850070 . _:b668378802 . _:b668378803 . _:b678850056 . _:b668378800 . _:b668379109 . _:b668378801 . _:b665795578 "Every spatiotemporal region s is such that s occupies_spatiotemporal_region s. (axiom label in BFO2 Reference: [107-002])"@en . _:b668378806 . _:b668716350 "per discussion with Barry Smith" . _:b678850061 . _:b668378807 . _:b668379110 . _:b668378804 . _:b663276320 "(forall (x) (if (RealizableEntity x) (and (SpecificallyDependentContinuant x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (inheresIn x y)))))) // axiom label in BFO2 CLIF: [058-002] " . _:b678850063 . _:b665122084 . _:b668378805 . _:b668379112 . _:b668716345 "per discussion with Barry Smith" . _:b668378810 . _:b668378811 . _:b668378808 . _:b668378809 . _:b668378834 . _:b668378814 . _:b668378815 . _:b665795616 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b668378812 . _:b678850055 . _:b668378813 . _:b668378946 . _:b668378947 . _:b668378944 . _:b668379128 . _:b668378945 . _:b668378950 . _:b668378951 . _:b665795370 . _:b668378948 . _:b668378949 . _:b665122086 . _:b668378822 . _:b668378954 . _:b668379129 . _:b668378955 . _:b668379130 . _:b668379131 . _:b668378952 . _:b665971277 . _:b666092797 "(forall (x) (if (and (Entity x) (exists (y t) (and (MaterialEntity y) (continuantPartOfAt y x t)))) (MaterialEntity x))) // axiom label in BFO2 CLIF: [020-002] " . _:b668379132 . _:b665176840 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b668378953 . _:b668378958 . _:b668378959 . _:b668378956 . _:b675160460 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b668378957 . _:b668378962 . _:b668716732 . _:b662809727 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b668378963 . _:b668716733 . _:b668378960 . _:b668716734 . _:b665459159 . _:b668378961 . _:b674016467 . _:b668378826 . _:b668716735 . _:b665857396 . _:b668378966 . _:b668716728 . _:b663277715 "(forall (x) (if (OneDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [038-001] " . _:b665857397 . _:b668378967 . _:b668716319 "per discussion with Barry Smith" . _:b668716729 . _:b668378964 . _:b665177091 . _:b665971349 . _:b668716730 . _:b665857395 . _:b668378965 . _:b668716731 . _:b668378970 . _:b668378865 . _:b668716724 . _:b665122563 . _:b668378971 . _:b668716725 . _:b668378968 . _:b668716726 . _:b668378969 . _:b668378866 . _:b668716727 . _:b665177090 . _:b668378974 . _:b674016474 . _:b668716720 . _:b668378975 . _:b665177100 . _:b665793759 . _:b665857420 "(forall (x) (if (ProcessBoundary x) (exists (y) (and (ZeroDimensionalTemporalRegion y) (occupiesTemporalRegion x y))))) // axiom label in BFO2 CLIF: [085-002] " . _:b665458878 . _:b668716721 . _:b666092732 "(forall (r) (if (TemporalRegion r) (occupiesTemporalRegion r r))) // axiom label in BFO2 CLIF: [119-002] " . _:b668378972 . _:b665793863 "A temporal region is an occurrent entity that is part of time as defined relative to some reference frame. (axiom label in BFO2 Reference: [100-001])"@en . _:b668716722 . _:b668378973 . _:b674016479 . _:b668716723 . _:b665176866 . _:b668378978 . _:b668716386 "per discussion with Barry Smith" . _:b668716716 . _:b665176867 . _:b665176857 . _:b668378979 . _:b665176869 . _:b665176871 . _:b668716717 . _:b665122570 . _:b665176858 . _:b668378976 . _:b665176870 . _:b665176850 . _:b665176865 . _:b668716718 . _:b668378977 . _:b665176864 . _:b665176868 . _:b668716719 . _:b668378982 . _:b668716712 . _:b678850141 . _:b665971185 "A one-dimensional temporal region is a temporal region that is extended. (axiom label in BFO2 Reference: [103-001])"@en . _:b668378983 . _:b665458920 . _:b668716713 . _:b665795415 . _:b668378980 . _:b668716714 . _:b668378981 . _:b668716715 . _:b665176849 . _:b668378986 . _:b675160909 . _:b668716708 . _:b668378987 . _:b665122273 . _:b665176878 . _:b665176848 . _:b665176876 . _:b668716709 . _:b668378984 . _:b665176877 . _:b668716710 . _:b668378985 . _:b668716711 . _:b678849723 . _:b665176874 . _:b668378990 . _:b665176875 . _:b668716704 . _:b674348652 "Continuant doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example, in an expansion involving bringing in some of Ceuster's other portions of reality, questions are raised as to whether universals are continuants"@en . _:b668378991 . _:b668716705 . _:b668378988 . _:b665176872 . _:b668716706 . _:b663277652 . _:b668378989 . _:b665176873 . _:b665176887 . _:b668716707 . _:b665176844 . _:b663277651 . _:b668378994 . _:b663277650 . _:b668378995 . _:b665176885 . _:b668716701 . _:b663277649 . _:b668378992 . _:b668378872 . _:b668716702 . _:b668378993 . _:b678849999 "(iff (ContinuantFiatBoundary a) (and (ImmaterialEntity a) (exists (b) (and (or (ZeroDimensionalSpatialRegion b) (OneDimensionalSpatialRegion b) (TwoDimensionalSpatialRegion b)) (forall (t) (locatedInAt a b t)))) (not (exists (c t) (and (SpatialRegion c) (continuantPartOfAt c a t)))))) // axiom label in BFO2 CLIF: [029-001] " . _:b665176882 . _:b668716703 . _:b665176883 . _:b668378998 . _:b668716696 . _:b665795325 . _:b665176841 . _:b668379000 "(iff (IndependentContinuant a) (and (Continuant a) (not (exists (b t) (specificallyDependsOnAt a b t))))) // axiom label in BFO2 CLIF: [017-002] " . _:b668378999 . _:b665176884 . _:b668716697 . _:b665176881 . _:b668378996 . _:b665176847 . _:b662809875 . _:b668716698 . _:b663277660 . _:b668378997 . _:b665176846 . _:b665176843 . _:b663277767 . _:b668716699 . _:b663277659 . _:b674016638 "Entity doesn't have a closure axiom because the subclasses don't necessarily exhaust all possibilites. For example Werner Ceusters 'portions of reality' include 4 sorts, entities (as BFO construes them), universals, configurations, and relations. It is an open question as to whether entities as construed in BFO will at some point also include these other portions of reality. See, for example, 'How to track absolutely everything' at http://www.referent-tracking.com/_RTU/papers/CeustersICbookRevised.pdf"@en . _:b668379002 . _:b668716692 . _:b662809672 "(forall (x) (if (SpatioTemporalRegion x) (Occurrent x))) // axiom label in BFO2 CLIF: [095-001] " . _:b668379003 . _:b668716693 . _:b668379000 . _:b668716694 . _:b665176839 . _:b678849571 . _:b668379001 . _:b678849553 . _:b663277679 . _:b678849570 . _:b668716695 . _:b663277728 "A function is a disposition that exists in virtue of the bearer\u2019s physical make-up and this physical make-up is something the bearer possesses because it came into being, either through evolution (in the case of natural biological entities) or through intentional design (in the case of artifacts), in order to realize processes of a certain sort. (axiom label in BFO2 Reference: [064-001])"@en . _:b678849568 . _:b668379006 . _:b663276342 "(forall (x) (if (ThreeDimensionalSpatialRegion x) (SpatialRegion x))) // axiom label in BFO2 CLIF: [040-001] " . _:b663277680 . _:b668716688 . _:b678849569 . _:b665176845 . _:b668379007 . _:b668716689 . _:b665176888 . _:b668379004 . _:b678849574 . _:b665176889 . _:b678849575 . _:b665176832 . _:b678849565 . _:b668379005 . _:b663276217 . _:b665176833 . _:b665122263 . _:b665176890 . _:b668716691 . _:b665176894 . _:b668378882 . _:b678849566 . _:b678849558 . _:b665176891 . _:b678849573 . _:b668378883 . _:b678849585 "(forall (x t) (if (RealizableEntity x) (exists (y) (and (IndependentContinuant y) (not (SpatialRegion y)) (bearerOfAt y x t))))) // axiom label in BFO2 CLIF: [060-002] " . _:b665176836 . _:b678849572 . _:b665176895 . _:b678849576 . _:b668378880 . _:b678849582 . _:b665971113 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b678849583 . _:b665176835 . _:b668378881 . _:b665176838 . _:b665176892 . _:b668378886 . _:b678849555 . _:b678849580 . _:b665795637 "(forall (x y) (if (processProfileOf x y) (and (properContinuantPartOf x y) (exists (z t) (and (properOccurrentPartOf z y) (TemporalRegion t) (occupiesSpatioTemporalRegion x t) (occupiesSpatioTemporalRegion y t) (occupiesSpatioTemporalRegion z t) (not (exists (w) (and (occurrentPartOf w x) (occurrentPartOf w z))))))))) // axiom label in BFO2 CLIF: [094-005] " . _:b665176837 . _:b665176842 . _:b665176893 . _:b668378887 . _:b678849554 . _:b678849581 . _:b665793766 . _:b678849552 . _:b668378884 . _:b678849557 . _:b665176840 . _:b665176834 . _:b678849579 . _:b678849577 . _:b668378885 . _:b678849556 . _:b665176880 . _:b666093104 "A two-dimensional spatial region is a spatial region that is of two dimensions. (axiom label in BFO2 Reference: [039-001])"@en . _:b668378890 . _:b678849578 . _:b665176886 . _:b668378891 . _:b678849591 . _:b665793773 . _:b668378888 . _:b665121978 "(iff (GenericallyDependentContinuant a) (and (Continuant a) (exists (b t) (genericallyDependsOnAt a b t)))) // axiom label in BFO2 CLIF: [074-001] " . _:b665793879 "Each spatiotemporal region projects_onto some temporal region. (axiom label in BFO2 Reference: [098-001])"@en . _:b668378889 . _:b678849549 . _:b665122243 . _:b678849589 . _:b668378894 . _:b665122244 . _:b668378895 . _:b678849551 . _:b663277685 . _:b668378892 . _:b665793703 . _:b663277684 . _:b668378893 . _:b678849586 . _:b678849584 . _:b663277683 . _:b668378898 . _:b668716796 . _:b678849585 . _:b665971094 . _:b678849547 . _:b663277682 . _:b668378899 . _:b665176851 . _:b678849590 . _:b668716797 . _:b663277681 . _:b668378896 . _:b668716798 . _:b663277680 . _:b668378897 . _:b678849592 . _:b668716799 . _:b678849596 . _:b663277695 . _:b668378902 . _:b665176852 . _:b668716792 . _:b668716744 "To say that b is a realizable entity is to say that b is a specifically dependent continuant that inheres in some independent continuant which is not a spatial region and is of a type instances of which are realized in processes of a correlated type. (axiom label in BFO2 Reference: [058-002])"@en . _:b678849597 . _:b665176853 . _:b678849541 . _:b678849540 . _:b668378903 . _:b665176855 . _:b678849595 . _:b668716793 . _:b665121839 . _:b665176854 . _:b678849537 . _:b668378900 . _:b665176879 . _:b668716794 . _:b663277692 . _:b668378901 . _:b668378585 . _:b668716795 . _:b678849593 . _:b678849538 . _:b668378906 . _:b668716788 . _:b668378907 . _:b668716789 . _:b668378904 . _:b665176856 . _:b678849536 . _:b665176859 . _:b668716790 . _:b678849550 . _:b668378905 . _:b668716791 . _:b663277671 . _:b668378910 . _:b668716784 . _:b665176863 . _:b678849548 . _:b663277670 . _:b678849542 . _:b668378911 . _:b665176862 . _:b668716785 . _:b678849598 . _:b678850148 . _:b665176860 . _:b668378908 . _:b665122492 . _:b665176861 . _:b678849599 . _:b668716786 . _:b678849594 . _:b668378909 . _:b668716787 . _:b665176922 . _:b668378914 . _:b668716780 . _:b678849543 . _:b663277666 . _:b668378915 . _:b665176923 . _:b668716781 . _:b665176920 . _:b663277665 . _:b674016691 . _:b668378912 . _:b668716782 . _:b665176928 . _:b678849545 . _:b665795760 . _:b674016690 . _:b668378913 . _:b663277664 . _:b668716783 . _:b668378918 . _:b674016693 . _:b668716776 . _:b678849587 . _:b663277678 . _:b674016692 . _:b668378919 . _:b665176938 . _:b665176930 . _:b663276266 . _:b668716777 . _:b678849588 . _:b663277677 . _:b668378916 . _:b665176929 . _:b665176924 . _:b665176921 . _:b668716778 . _:b663277676 . _:b668378917 . _:b678849544 . _:b665176915 . _:b668716779 . _:b665176937 . _:b668378922 . _:b668716772 . _:b665121840 . _:b665176936 . _:b668378923 . _:b665176917 . _:b678849546 . _:b663276270 . _:b668716773 . _:b675160943 . _:b665795670 . _:b668378920 . _:b665121852 . _:b668716774 . _:b668378921 . _:b665176919 . _:b668716775 . _:b663276276 . _:b668378926 . _:b668716768 . _:b665176918 . _:b668378927 . _:b668716769 . _:b663276284 . _:b665857411 "b is a site means: b is a three-dimensional immaterial entity that is (partially or wholly) bounded by a material entity or it is a three-dimensional immaterial part thereof. (axiom label in BFO2 Reference: [034-002])"@en . _:b668378924 . _:b665176914 . _:b674016396 . _:b663276278 . _:b668716770 . _:b665176916 . _:b668378925 . _:b678849559 . _:b668716771 . _:b663276277 . _:b663276282 . _:b668378930 . _:b668716764 . _:b668378931 . _:b668716765 . _:b663276279 . _:b668378928 . _:b668716766 . _:b678849560 . _:b668378929 . _:b678849561 . _:b668716767 . _:b678849563 . _:b668378934 . _:b678849562 . _:b668716760 . _:b668378935 . _:b668716761 . _:b668378932 . _:b665177133 . _:b668716762 . _:b662810115 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b668378933 . _:b668716763 . _:b668378938 . _:b663276280 . _:b678849564 . _:b668716756 . _:b678849567 . _:b668378939 . _:b665176898 . _:b668716757 . _:b678849627 . _:b668378936 . _:b678849635 . _:b665176897 . _:b674016947 . _:b668716758 . _:b678849626 . _:b668378937 . _:b678849646 . _:b678849638 . _:b678849634 . _:b665176899 . _:b668716759 . _:b665176901 . _:b678849633 . _:b665176903 . _:b678849637 . _:b668378942 . _:b663276285 . _:b665176900 . _:b668716752 . _:b678849629 . _:b663276286 . _:b678849624 . _:b668378943 . _:b668716753 . _:b678849630 . _:b665122106 . _:b668378940 . _:b665176896 . _:b668716754 . _:b665176902 . _:b668378941 . _:b678849625 . _:b678849631 . _:b668716755 . _:b663276281 . _:b678849628 . _:b675160950 . _:b665122108 . _:b668379074 . _:b665857045 "b is a generically dependent continuant = Def. b is a continuant that g-depends_on one or more other entities. (axiom label in BFO2 Reference: [074-001])"@en . _:b668716748 . _:b665795213 "If b is a realizable entity then for all t at which b exists, b s-depends_on some material entity at t. (axiom label in BFO2 Reference: [063-002])"@en . _:b665793847 "Every occurrent occupies_spatiotemporal_region some spatiotemporal region. (axiom label in BFO2 Reference: [108-001])"@en . _:b678849636 . _:b668379075 . _:b668716749 . _:b675160751 "if b is a material entity, then there is some temporal interval (referred to below as a one-dimensional temporal region) during which b exists. (axiom label in BFO2 Reference: [011-002])"@en . _:b663276283 . _:b668379072 . _:b668716750 . _:b674016755 "A zero-dimensional temporal region is a temporal region that is without extent. (axiom label in BFO2 Reference: [102-001])"@en . _:b668379073 . _:b668716751 . _:b674348348 "(iff (SpecificallyDependentContinuant a) (and (Continuant a) (forall (t) (if (existsAt a t) (exists (b) (and (IndependentContinuant b) (not (SpatialRegion b)) (specificallyDependsOnAt a b t))))))) // axiom label in BFO2 CLIF: [050-003] " . _:b668379078 . _:b678849622 . _:b668716744 . _:b668379079 . . _:b668716745 . _:b678849623 . _:b678849645 . _:b668379076 . _:b663276272 . _:b668716746 . _:b665122504 . _:b678849644 . _:b668379077 . _:b668716747 . _:b663276274 . _:b668379082 . _:b663276275 . _:b665176908 . _:b668716740 . _:b668379083 . _:b668379146 . _:b668716741 . _:b666092718 "For any independent continuant b and any time t there is some spatial region r such that b is located_in r at t. (axiom label in BFO2 Reference: [134-001])"@en . _:b678849609 . _:b663276287 . _:b678849611 . _:b668379080 . _:b678849608 . _:b665458873 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668716742 . _:b663276268 . _:b668379081 . _:b665176911 . _:b663276269 . _:b665458874 "This is redundant with the more specific 'independent and not spatial region' constraint. We leave in the redundant axiom for use with reasoners that do not use negation." . _:b668716743 . _:b665176905 . _:b668379086 . _:b674016933 . _:b665971343 . _:b668716736 . _:b668379190 . _:b665176910 . _:b665176904 . _:b678849610 . _:b663276271 . _:b668379087 . _:b665795358 . _:b665176907 . _:b668716737 . _:b665176909 . _:b678849904 "(forall (x y) (if (and (Continuant x) (exists (t) (continuantPartOfAt y x t))) (Continuant y))) // axiom label in BFO2 CLIF: [009-002] " . _:b668379084 . _:b665176906 . _:b668716738 . _:b663276265 . _:b668379085 . _:b665176570 . _:b668716739 . _:b665176913 . _:b668379090 . _:b665176912 . _:b668379091 . _:b665793864 "All parts of temporal regions are temporal regions.\u00A0(axiom label in BFO2 Reference: [101-001])"@en . _:b663276267 . _:b678849600 . _:b665176662 . _:b668379088 . _:b663276264 . _:b678849601 . _:b665122113 . _:b668379089 . _:b665970796 "A one-dimensional spatial region is a line or aggregate of lines stretching from one point in space to another. (axiom label in BFO2 Reference: [038-001])"@en . _:b665122112 . _:b668379094 . _:b678849604 . _:b663276261 . _:b665176933 . _:b668379095 . _:b674016940 . "en"^^ . _:b678849602 . _:b663276262 . _:b662810096 "(forall (x) (if (MaterialEntity x) (IndependentContinuant x))) // axiom label in BFO2 CLIF: [019-002] " . _:b668379092 . _:b665122006 . _:b665176573 . _:b668379093 . _:b678849606 . _:b678849603 . _:b668379098 . _:b665121904 . _:b678849605 . _:b665122119 . _:b668379099 . _:b678849607 . _:b665176931 .