]> 2009/04/07 OpenCyc Knowledge Base Copyright© 2001-2009 Cycorp, Inc., http://www.cyc.com/, Austin, TX, USA This file contains an OWL representation of information contained in the OpenCyc Knowledge Base. The content of this OWL file is licensed under the Creative Commons Attribution 3.0 license whose text can be found at http://creativecommons.org/licenses/by/3.0/legalcode. The content of this OWL file, including the OpenCyc content it represents, constitutes the "Work" referred to in the Creative Commons license. The terms of this license equally apply to, without limitation, renamings and other logically equivalent reformulations of the content of this OWL file (or portions thereof) in any natural or formal language, as well as to derivations of this content or inclusion of it in other ontologies. Mappings between OpenCyc terms and Wikipedia article names provided by Olena Medelyan and Catherine Legg, University of Waikato, NZ under a Creative Commons Attribution 3.0 license. externalID A unique, language-neutral, variable-sized identifier for a concept that can be used to refer unambiguously to that concept across OWL exports or across Cyc inference engines. label A natural-language representation for a concept that is both human readable and readable by the Cyc inference engine. These terms are not guaranteed to refer to the same concept across time but are guaranteed to be consistent within a particular OWL export. Use 'cycAnnot:externalID' for unambiguously referring to a concept across OWL exports or across Cyc inference engines. A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is a whole number with no fractional remainder. An integer may be positive (e.g. 42), zero, or negative (e.g. -42). Note that, in the KB browser, a fixed- or floating-point number representation such as `42.00' should not be assumed to refer to the integer 42. For it might only appear to correspond to that integer within the tolerance of its representation, and might in fact be an approximation to a non-integer number such as 42.0003. Also note that, unlike <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> (q.v.) is a collection of integer-denoting expressions in the SubL programming language rather than a collection of integers themselves. Still, (<a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) holds, but only under a special interpretation of <a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> forced by the fact that <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> is a #$quotedCollection (q.v).) Integer integer integers

Integer

http://en.wikipedia.org/wiki/Integer http://www.w3.org/2006/03/wn/wn20/instances/synset-integer-noun-1 either a negative integer or a whole number (ThePartition NegativeInteger NonNegativeInteger) Pretty String (<a href="http://sw.opencyc.org/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA" class="cyc_term">prettyString</a> TERM STRING) means that STRING is the English word or expression (sequence of words) commonly used to refer to TERM. The predicate <a href="http://sw.opencyc.org/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA" class="cyc_term">prettyString</a> is used by the code which generates CycL to English paraphrases, but its applicability is not restricted to this use. prettyString UnitOfMeasureConcept A <a href="http://sw.opencyc.org/concept/Mx4ret7qgOKgEdmAAAACs6hfSg" class="cyc_term">ConceptTypeByDomain</a> (q.v.). Instances of <a href="http://sw.opencyc.org/concept/Mx4rC-8cJgBpEdqAAAACs0uFOQ" class="cyc_term">UnitOfMeasureConcept</a> are collections and relations having to do with unit of measurement functions and the kinds of quantities they return as values. Important specializations and instances of <a href="http://sw.opencyc.org/concept/Mx4rvViAqpwpEbGdrcN5Y29ycA" class="cyc_term">UnitOfMeasure</a>, major specializations or <a href="http://sw.opencyc.org/concept/Mx4rvViAp5wpEbGdrcN5Y29ycA" class="cyc_term">ScalarInterval</a>, and relations that are important to measurement theory are instances of this collection. unit of measure concept The collection of terms that reference certain types of numeric intervals. The instances of this collection serve as argument places in query macro predicates. This includes <a href="http://sw.opencyc.org/concept/Mx4rvViSq5wpEbGdrcN5Y29ycA" class="cyc_term">Percent</a>, <a href="http://sw.opencyc.org/concept/Mx4rxgFnmCzmQdibecNxmrN_eA" class="cyc_term">Ratio</a>, etc. NumericModifierType numeric modifier type (CollectionUnionFn (TheSet Integer MeasurableQuantity)) the union of { integer, measurable quantity } Integer A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is a whole number with no fractional remainder. An integer may be positive (e.g. 42), zero, or negative (e.g. -42). Note that, in the KB browser, a fixed- or floating-point number representation such as `42.00' should not be assumed to refer to the integer 42. For it might only appear to correspond to that integer within the tolerance of its representation, and might in fact be an approximation to a non-integer number such as 42.0003. Also note that, unlike <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> (q.v.) is a collection of integer-denoting expressions in the SubL programming language rather than a collection of integers themselves. Still, (<a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) holds, but only under a special interpretation of <a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> forced by the fact that <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> is a #$quotedCollection (q.v).) integer Integer A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is a whole number with no fractional remainder. An integer may be positive (e.g. 42), zero, or negative (e.g. -42). Note that, in the KB browser, a fixed- or floating-point number representation such as `42.00' should not be assumed to refer to the integer 42. For it might only appear to correspond to that integer within the tolerance of its representation, and might in fact be an approximation to a non-integer number such as 42.0003. Also note that, unlike <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> (q.v.) is a collection of integer-denoting expressions in the SubL programming language rather than a collection of integers themselves. Still, (<a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) holds, but only under a special interpretation of <a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> forced by the fact that <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> is a #$quotedCollection (q.v).) integer MeasurableScalarIntervalType type of measurable scalar interval A collection of collections and a specialization of <a href="http://sw.opencyc.org/concept/Mx4r91ZApkTvEdaAAACgye4oEQ" class="cyc_term">TotallyOrderedScalarIntervalType</a> (q.v.). Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVjZs5wpEbGdrcN5Y29ycA" class="cyc_term">MeasurableScalarIntervalType</a> is a collection of <a href="http://sw.opencyc.org/concept/Mx4rvViAp5wpEbGdrcN5Y29ycA" class="cyc_term">ScalarInterval</a>s that are quantifiable; i.e. they are either purely numeric (see <a href="http://sw.opencyc.org/concept/Mx4rnVZQSiCmEdaAAACgyZzFrg" class="cyc_term">NumericInterval</a>) or quantities that can be assigned a numeric value (see <a href="http://sw.opencyc.org/concept/Mx4rr-2NGp7sQdidoL5VyxYMGg" class="cyc_term">MeasurableQuantity</a>). Instances of <a href="http://sw.opencyc.org/concept/Mx4rvVjZs5wpEbGdrcN5Y29ycA" class="cyc_term">MeasurableScalarIntervalType</a> include <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvVjfYJwpEbGdrcN5Y29ycA" class="cyc_term">ProbabilityInterval</a>, <a href="http://sw.opencyc.org/concept/Mx4rvViYB5wpEbGdrcN5Y29ycA" class="cyc_term">RateOfRotation</a>, and <a href="http://sw.opencyc.org/concept/Mx4rvViApZwpEbGdrcN5Y29ycA" class="cyc_term">Time_Quantity</a>. Specializations include <a href="http://sw.opencyc.org/concept/Mx4rwDcy85wpEbGdrcN5Y29ycA" class="cyc_term">IntegerTypeByRange</a> and <a href="http://sw.opencyc.org/concept/Mx4rlsKf-MukQdiEYr6WbI2G4Q" class="cyc_term">MeasurableQuantityType</a>. things known independent of context This is the microtheory which contains the 'definitional' assertions about everything in Cyc's universe of discourse. Definitional assertions about a concept are those which are intrinsic to the concept's nature and cannot be violated in any context. UniversalVocabularyMt Integer A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is a whole number with no fractional remainder. An integer may be positive (e.g. 42), zero, or negative (e.g. -42). Note that, in the KB browser, a fixed- or floating-point number representation such as `42.00' should not be assumed to refer to the integer 42. For it might only appear to correspond to that integer within the tolerance of its representation, and might in fact be an approximation to a non-integer number such as 42.0003. Also note that, unlike <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> (q.v.) is a collection of integer-denoting expressions in the SubL programming language rather than a collection of integers themselves. Still, (<a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) holds, but only under a special interpretation of <a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> forced by the fact that <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> is a #$quotedCollection (q.v).) integer scalar integral value ScalarIntegralValue A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvViCW5wpEbGdrcN5Y29ycA" class="cyc_term">ScalarPointValue</a> (q.v.). Each instance of <a href="http://sw.opencyc.org/concept/Mx4rmGpnQkp4EdefhACgycbRfg" class="cyc_term">ScalarIntegralValue</a> is either an <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> or a <a href="http://sw.opencyc.org/concept/Mx4rr-2NGp7sQdidoL5VyxYMGg" class="cyc_term">MeasurableQuantity</a> (q.v.) that is the value returned when some <a href="http://sw.opencyc.org/concept/Mx4rvViAqpwpEbGdrcN5Y29ycA" class="cyc_term">UnitOfMeasure</a> (q.v.) function is applied to an <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>. In the latter case, the quantity is said to be "integral with respect to" that unit-of-measure (see <a href="http://sw.opencyc.org/concept/Mx4rrrcnluDVQdiAjoYbTwUODA" class="cyc_term">integralWRTUnit</a>). For example, both 6 and (<a href="http://sw.opencyc.org/concept/Mx4rvVihIJwpEbGdrcN5Y29ycA" class="cyc_term">Inch</a> 6) are scalar integral values. The latter is integral with respect to <a href="http://sw.opencyc.org/concept/Mx4rvVihIJwpEbGdrcN5Y29ycA" class="cyc_term">Inch</a>. <a href="http://sw.opencyc.org/concept/Mx4rmGpnQkp4EdefhACgycbRfg" class="cyc_term">ScalarIntegralValue</a>s are the admitted arguments for, and the values returned by, <a href="http://sw.opencyc.org/concept/Mx4r7DuGgER3EdeEcQCgycbRfg" class="cyc_term">GreatestCommonDivisorFn</a> and <a href="http://sw.opencyc.org/concept/Mx4rkFVs4SplEdebogACs6hO_g" class="cyc_term">LeastCommonMultipleFn</a> (qq.v.). Note that, despite appearances to the contrary, (<a href="http://sw.opencyc.org/concept/Mx4rvVig45wpEbGdrcN5Y29ycA" class="cyc_term">Foot_UnitOfMeasure</a> 0.5) is a scalar integral value that is integral with respect to <a href="http://sw.opencyc.org/concept/Mx4rvVihIJwpEbGdrcN5Y29ycA" class="cyc_term">Inch</a>, as it is equal to the scalar integral (<a href="http://sw.opencyc.org/concept/Mx4rvVihIJwpEbGdrcN5Y29ycA" class="cyc_term">Inch</a> 6). It might even be argued that, in principle, every <a href="http://sw.opencyc.org/concept/Mx4rr-2NGp7sQdidoL5VyxYMGg" class="cyc_term">MeasurableQuantity</a> is integral with respect to some (reified or not) unit-of-measure or other. But that is a contentious issue on which we need not take sides. Integer A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is a whole number with no fractional remainder. An integer may be positive (e.g. 42), zero, or negative (e.g. -42). Note that, in the KB browser, a fixed- or floating-point number representation such as `42.00' should not be assumed to refer to the integer 42. For it might only appear to correspond to that integer within the tolerance of its representation, and might in fact be an approximation to a non-integer number such as 42.0003. Also note that, unlike <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> (q.v.) is a collection of integer-denoting expressions in the SubL programming language rather than a collection of integers themselves. Still, (<a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) holds, but only under a special interpretation of <a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> forced by the fact that <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> is a #$quotedCollection (q.v).) integer (ThePartition PositiveInteger NonPositiveInteger) either a positive integer or a non-positive integer Wikipedia Article URL (<a href="http://sw.opencyc.org/concept/Mx4rNv0nbm4TTjOp7yhmnzOyqg" class="cyc_term">wikipediaArticleURL</a> THING URL) means that in <a href="http://sw.opencyc.org/concept/Mx4rtqXA6OC8QdiWC72DuLJdUw" class="cyc_term">Wikipedia_WebSite</a> THING is described by an article located at URL wikipediaArticleURL seeAlsoURI <code>(<a href="http://sw.opencyc.org/concept/Mx4riWVFR6HJSpaEaHrcWS3MSA" class="cyc_term">seeAlsoURI</a> THING URI)</code> means that a description of the resource identified by URI is likely to contain information pertinent to THING. This predicate is roughly equivalent to rdfs:seeAlso. See Also URI Partitioned Into partitionedInto (<a href="http://sw.opencyc.org/concept/Mx4rvVj1MJwpEbGdrcN5Y29ycA" class="cyc_term">partitionedInto</a> SETORCOL PART) means that the mathematical set or collection PART is a partition of the mathematical set or collection SETORCOL; that is, the elements of PART are themselves mathematical sets or collections, and every element of SETORCOL is an element of exactly one element of PART, and every element of PART is a subset of SETORCOL. In other words, PART is a set or collection of pairwise disjoint sets or collections whose union is co-extensional with SETORCOL. Typically, the <a href="http://sw.opencyc.org/concept/Mx4rk8dxOVcGEdaLwgACs0uFOQ" class="cyc_term">DisjointSetOrCollectionType</a> that plays the role of PART in an assertion about partitioning will be a set specified by enumerating its elements, using the function <a href="http://sw.opencyc.org/concept/Mx4rvcUeB5wpEbGdrcN5Y29ycA" class="cyc_term">ThePartition</a>. Integer A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is a whole number with no fractional remainder. An integer may be positive (e.g. 42), zero, or negative (e.g. -42). Note that, in the KB browser, a fixed- or floating-point number representation such as `42.00' should not be assumed to refer to the integer 42. For it might only appear to correspond to that integer within the tolerance of its representation, and might in fact be an approximation to a non-integer number such as 42.0003. Also note that, unlike <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> (q.v.) is a collection of integer-denoting expressions in the SubL programming language rather than a collection of integers themselves. Still, (<a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) holds, but only under a special interpretation of <a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> forced by the fact that <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> is a #$quotedCollection (q.v).) integer TestOWLExportConcept test OWL export concept A <a href="http://sw.opencyc.org/concept/Mx4ret7qgOKgEdmAAAACs6hfSg" class="cyc_term">ConceptTypeByDomain</a> (q.v.). Instances of <a href="http://sw.opencyc.org/concept/Mx4r9fut4P7NEdmAAAACs2IKaQ" class="cyc_term">TestOWLExportConcept</a> are concepts each of which tests some aspect of the new export schema. Integer A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is a whole number with no fractional remainder. An integer may be positive (e.g. 42), zero, or negative (e.g. -42). Note that, in the KB browser, a fixed- or floating-point number representation such as `42.00' should not be assumed to refer to the integer 42. For it might only appear to correspond to that integer within the tolerance of its representation, and might in fact be an approximation to a non-integer number such as 42.0003. Also note that, unlike <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> (q.v.) is a collection of integer-denoting expressions in the SubL programming language rather than a collection of integers themselves. Still, (<a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) holds, but only under a special interpretation of <a href="http://sw.opencyc.org/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA" class="cyc_term">genls</a> forced by the fact that <a href="http://sw.opencyc.org/concept/Mx4rvWbgpJwpEbGdrcN5Y29ycA" class="cyc_term">SubLInteger</a> is a #$quotedCollection (q.v).) integer quotedIsa A binary <a href="http://sw.opencyc.org/concept/Mx4rDeDIGEW0EdaAAACgydogAg" class="cyc_term">MetaLanguagePredicate</a> (q.v.) that relates CycL expressions to the <a href="http://sw.opencyc.org/concept/Mx4raOoTci9qEdma4AACs1uxFw" class="cyc_term">SubLExpressionType</a>s (q.v.) of which they are instances. <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> is thus like a restricted version of <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> (q.v.), but with one important difference: the first argument-place of <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> is "implicitly quoted" (see <a href="http://sw.opencyc.org/concept/Mx4rwHb_bZwpEbGdrcN5Y29ycA" class="cyc_term">quotedArgument</a>). So a ground atomic sentence of the form <code>(<a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> THING EXPR-TYPE)</code> does not mean that <code>THING</code> itself is an instance of <code>EXPR-TYPE</code>. Rather, such a sentence is partly self-referential, and means that the particular CycL expression appearing in the sentence's own first argument-position is an instance of <code>EXPR-TYPE</code>. Thus, <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> provides a convenient shorthand for stating certain things that would otherwise require explicit quotation (or some other device for naming expressions). This is better illustrated with a specific example. Suppose we wish to state that the CycL constant <code><a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a></code> is an instance of the CycL expression type #$PublicConstant. We cannot express this with the straightforward <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> sentence <code>(<a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a> #$PublicConstant)</code>, as that states the falsehood that the IndianOcean itself -- which is not a constant but a body of water -- is a public constant. But we can express precisely what we want like this: <pre> (<a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a> #$PublicConstant) . </pre> Now <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> is a <a href="http://sw.opencyc.org/concept/Mx4rv4oJWZwpEbGdrcN5Y29ycA" class="cyc_term">MacroRelation</a> (q.v.), and by its <a href="http://sw.opencyc.org/concept/Mx4rvVjg7JwpEbGdrcN5Y29ycA" class="cyc_term">expansion</a> any given <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> sentence is equivalent to some <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> sentence with an explicitly quoted first argument. The sentence displayed above turns out to be equivalent to: <pre> (<a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> (<a href="http://sw.opencyc.org/concept/Mx4rgGBbEkNuEdaAAACgydogAg" class="cyc_term">Quote</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a>) #$PublicConstant). </pre> But the <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> version has two related practical advantages over the <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> version. First, the former is syntactically simpler than the latter. Second, the simpler syntax of the former makes it easier to browse in the Knowedge Base: while the <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> version is conveniently indexed under the KB Browser page for the constant <code><a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a></code>, the <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> version would apparently be indexed under a separate, brand new page for the term <code>(<a href="http://sw.opencyc.org/concept/Mx4rgGBbEkNuEdaAAACgydogAg" class="cyc_term">Quote</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a>)</code>. Generalizing the point, <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> lets us avoid having potentially to double the number of pages currently in the browser. For the semantically more complicated (but rarely encountered) case in which <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a>'s first argument-place is filled with an open expression, see the accompanying #$cyclistNotes. Quoted Isa clarifying collection type ClarifyingCollectionType A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA" class="cyc_term">Collection</a>. Instances are collections that are usefully invoked for purposes of resolving ambiguity and confusion that arise from the use of non-perspicuous languages. Suppose a human or other intelligent agent uses a language, such as a natural language, that is rife with ambiguity, and uses a word WORD of that language whose intended reference is unclear: in the context WORD might refer to THING1 or to THING2, but not both. One strategy for resolving this ambiguity is to find properties of THING1 and THING2, say P1 and P2, that distinguish them from one another, and ask the speaker whether by "WORD," s/he intended to refer to something with P1, or to something with P2. For example, the speaker might use the word "bank," and in response one might ask whether a financial institution or a piece of shoreline was meant. Clearly, what values of P1 and P2 are chosen cannot be arbitrary; asking whether the speaker meant to refer to a multi-individual agent versus a non-agentive place is not as effective as asking the speaker to choose between the "financial institution" and "shoreline" interpretations described above. Instances of <a href="http://sw.opencyc.org/concept/Mx4r_4bScKNtQdiVw7XtX-HN0Q" class="cyc_term">ClarifyingCollectionType</a> just are those collections -- such as the collection of financial institutions -- that might plausibly be invoked to resolve cases of ambiguity of the kind described here. In particular, suppose TYPE1 is an instance of <a href="http://sw.opencyc.org/concept/Mx4r_4bScKNtQdiVw7XtX-HN0Q" class="cyc_term">ClarifyingCollectionType</a> and TYPE2 is not, and THING is an instance of both TYPE1 and TYPE2. The fact that (<a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> TYPE1 <a href="http://sw.opencyc.org/concept/Mx4r_4bScKNtQdiVw7XtX-HN0Q" class="cyc_term">ClarifyingCollectionType</a>) is a reason to prefer TYPE1 over TYPE2 when calculating possible clarifying properties for THING. collectionConventionMt (<a href="http://sw.opencyc.org/concept/Mx4rbS4iQFbOEdaCJwACs0x8nw" class="cyc_term">collectionConventionMt</a> COL MT) means that assertions of the form (<a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> INS COL), for any INS, are by convention asserted in MT. Collection Convention Mt IntegerExtent A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjzL5wpEbGdrcN5Y29ycA" class="cyc_term">IntervalOnNumberLine</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rwTGgF5wpEbGdrcN5Y29ycA" class="cyc_term">IntegerExtent</a> is an interval that includes a contiguous range of integers (see <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>) and which includes nothing which is not an integer. integer extent A specialization of <a href="http://sw.opencyc.org/concept/Mx4rP7E0cqepQdmezarjq5t45Q" class="cyc_term">InfiniteSetOrCollection</a>. A set or collection is an instance of <a href="http://sw.opencyc.org/concept/Mx4rvZVtyJwpEbGdrcN5Y29ycA" class="cyc_term">DenumerableSetOrCollection</a> if and only if its <a href="http://sw.opencyc.org/concept/Mx4rvVi7z5wpEbGdrcN5Y29ycA" class="cyc_term">cardinality</a> is aleph-0 (i.e. <a href="http://sw.opencyc.org/concept/Mx4rvViEspwpEbGdrcN5Y29ycA" class="cyc_term">PlusInfinity</a>). Cf. <a href="http://sw.opencyc.org/concept/Mx4rwx-UiKelQdmTX9SVtWuPmw" class="cyc_term">NonDenumerableSetOrCollection</a>. DenumerableSetOrCollection infinite thing RationalNumber A specialization of <a href="http://sw.opencyc.org/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>. A number NUM is an instance of <a href="http://sw.opencyc.org/concept/Mx4rvVjyqpwpEbGdrcN5Y29ycA" class="cyc_term">RationalNumber</a> just in case NUM can be expressed as the quotient of two integers. For example, 3/4, 2 1/8, 0.3333333..., 11/5. rational number wikipediaArticleName (<a href="http://sw.opencyc.org/concept/Mx4rTv-jk9SPTXa991kk5mAvHg" class="cyc_term">wikipediaArticleName</a> THING NAME) means that in <a href="http://sw.opencyc.org/concept/Mx4rtqXA6OC8QdiWC72DuLJdUw" class="cyc_term">Wikipedia_WebSite</a> THING is described by an article with the title NAME Wikipedia Article Name type of atemporal collection in which membership is necessarily essential AtemporalNecessarilyEssentialCollectionType A collection of collections. Each instance <code>COL</code> of <a href="http://sw.opencyc.org/concept/Mx4rqEYnNVMqEdaSKAACs0x8nw" class="cyc_term">AtemporalNecessarilyEssentialCollectionType</a> (ANECT) is a collection satisfying three conditions: (1) <code>COL</code> is disjoint with (see <a href="http://sw.opencyc.org/concept/Mx4rvViA45wpEbGdrcN5Y29ycA" class="cyc_term">disjointWith</a>) <a href="http://sw.opencyc.org/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA" class="cyc_term">TemporalThing</a>, (2) every instance <code>INST</code> of <code>COL</code> is an instance of <code>COL</code> essentially (i.e. <code>INST</code> is an instance of <code>COL</code>, and could not exist without being an instance of <code>COL</code>), and (3) condition (2) is a necessary truth about <code>COL</code>. Positive examples of ANECTs include <a href="http://sw.opencyc.org/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA" class="cyc_term">Collection</a>, <a href="http://sw.opencyc.org/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, and <a href="http://sw.opencyc.org/concept/Mx4rvViAzZwpEbGdrcN5Y29ycA" class="cyc_term">Relation</a> (each of which is a collection of atemporals and is such that, necessarily, all of its instances are in it essentially). Negative examples include <a href="http://sw.opencyc.org/concept/Mx4rvVjpUZwpEbGdrcN5Y29ycA" class="cyc_term">SpatialThing</a> (though arguably it is necessary that all of its instances are essentially instances of it, it is not disjoint with <a href="http://sw.opencyc.org/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA" class="cyc_term">TemporalThing</a>) and <a href="http://sw.opencyc.org/concept/Mx4rwP4FM5wpEbGdrcN5Y29ycA" class="cyc_term">UniqueAnatomicalPartType</a> (which, though disjoint with <a href="http://sw.opencyc.org/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA" class="cyc_term">TemporalThing</a>, has instances, such as <a href="http://sw.opencyc.org/concept/Mx4rvVjvDpwpEbGdrcN5Y29ycA" class="cyc_term">Heart</a>, that could exist even if they weren't instances of it; e.g. it might have been the case that every creature with a heart had at least two hearts). There are no known examples of Cyc-reified collections satisfying conditions (1) and (2) but not (3), but one can be contrived. Suppose that all of today's winning lottery numbers were primes. Now consider the collection: (<a href="http://sw.opencyc.org/concept/Mx4rvrhK-JwpEbGdrcN5Y29ycA" class="cyc_term">CollectionUnionFn</a> (<a href="http://sw.opencyc.org/concept/Mx4rvVjkdpwpEbGdrcN5Y29ycA" class="cyc_term">TheSet</a> <a href="http://sw.opencyc.org/concept/Mx4rvVjrdZwpEbGdrcN5Y29ycA" class="cyc_term">PrimeNumber</a> TodaysWinningLotteryNumbers)) This collection is clearly disjoint with <a href="http://sw.opencyc.org/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA" class="cyc_term">TemporalThing</a> and, by hypothesis, all of its instances are in it essentially (as each prime number is essentially a prime number). But this last fact is not necessarily true of this collection: the collection might have had instances that belonged to it only contingently (i.e. not essentially), as it might have been the case that one of today's winning lottery numbers was non-prime, and no number is such that it is essentially one of today's winning lottery numbers. When asserting that something is an instance or specialization of a given instance of ANECT, it is appropriate to do so in the <a href="http://sw.opencyc.org/concept/Mx4r3_SgQU2iEdaCwAACs0x8nw" class="cyc_term">UniversalVocabularyMt</a> (q.v.). Indeed, ANECT was specially defined to facilitate the movement of appropriate assertions to that microtheory. Cf. <a href="http://sw.opencyc.org/concept/Mx4rGeylLJTfEdqAAAACs0uFOQ" class="cyc_term">PragmaticallyDecontextualizedCollection</a>. either an even number or an odd number (ThePartition EvenNumber OddNumber) numbers-math-topic Numbers-Math-Topic