]> 2008/06/10 OpenCyc Knowledge Base Copyright© 2001-2008 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. 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. positive number PositiveNumber A specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>. An instance NUMBER of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> is also an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> just in case NUMBER is greater than zero. Instances of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> include 42 and 0.17, but not 0 or -5. http://en.wikipedia.org/wiki/Negative_and_non-negative_numbers positive more positive most positive positive numbers real number greater than or equal to one Real1-Infinity <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVs2MZwpEbGdrcN5Y29ycA" class="cyc_term">Real1_Infinity</a> is the subcollection of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> that excludes numbers less than 1. Each instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVs2MZwpEbGdrcN5Y29ycA" class="cyc_term">Real1_Infinity</a> is a number greater than or equal to 1. A specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>. An instance INT of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a> is an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVie2ZwpEbGdrcN5Y29ycA" class="cyc_term">PositiveInteger</a> just in case INT is an integer greater than 0. positive integer PositiveInteger positive number PositiveNumber A specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>. An instance NUMBER of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> is also an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> just in case NUMBER is greater than zero. Instances of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> include 42 and 0.17, but not 0 or -5. Pretty String (<a href="http://sw.opencyc.org/2008/06/10/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/2008/06/10/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 non-zero number NonZeroNumber A specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>, and the binary union of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> and <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rwP4D45wpEbGdrcN5Y29ycA" class="cyc_term">NegativeNumber</a>. It is disjoint with the singleton set of 0. positive number PositiveNumber A specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>. An instance NUMBER of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> is also an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> just in case NUMBER is greater than zero. Instances of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> include 42 and 0.17, but not 0 or -5. positive number PositiveNumber A specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>. An instance NUMBER of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> is also an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> just in case NUMBER is greater than zero. Instances of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> include 42 and 0.17, but not 0 or -5. NonNegativeNumber non-negative number <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyK5wpEbGdrcN5Y29ycA" class="cyc_term">NonNegativeNumber</a> is the sub-collection of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> that excludes the negative reals. Each instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyK5wpEbGdrcN5Y29ycA" class="cyc_term">NonNegativeNumber</a> is a number greater than or equal to zero -- for example, 0, 0.173, Pi, 4, and 101. Quantities measured in units -- for example, (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjrsZwpEbGdrcN5Y29ycA" class="cyc_term">SecondsDuration</a> 4) and (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi3VJwpEbGdrcN5Y29ycA" class="cyc_term">Mile</a> 42) -- are not instances of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyK5wpEbGdrcN5Y29ycA" class="cyc_term">NonNegativeNumber</a>, but rather are instances of its super-collection <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv3ockJwpEbGdrcN5Y29ycA" class="cyc_term">NonNegativeScalarInterval</a>. For a measurable positive (> 0) quantity, the ordered sequence of possible values may be thought of as a line. <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvvPf-pwpEbGdrcN5Y29ycA" class="cyc_term">PositiveScalarInterval</a>s are the line segments (or points) on such a line, representing a range of consecutive values, all greater than 0. The most common case is where the line is just the positive part of the Real Number Line, and in fact where the <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvvPf-pwpEbGdrcN5Y29ycA" class="cyc_term">PositiveScalarInterval</a> is either a contiguous set of points there (i.e., a range of numbers) or just a single point there (i.e., a number). Another common case is where the line has some unit of measure marked off, such as meters. positive scalar interval PositiveScalarInterval MeasurableScalarIntervalType type of measurable scalar interval A collection of collections and a specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4r91ZApkTvEdaAAACgye4oEQ" class="cyc_term">TotallyOrderedScalarIntervalType</a> (q.v.). Each instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjZs5wpEbGdrcN5Y29ycA" class="cyc_term">MeasurableScalarIntervalType</a> is a collection of <a href="http://sw.opencyc.org/2008/06/10/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/2008/06/10/concept/Mx4rnVZQSiCmEdaAAACgyZzFrg" class="cyc_term">NumericInterval</a>) or quantities that can be assigned a numeric value (see <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rr-2NGp7sQdidoL5VyxYMGg" class="cyc_term">MeasurableQuantity</a>). Instances of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjZs5wpEbGdrcN5Y29ycA" class="cyc_term">MeasurableScalarIntervalType</a> include <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjfYJwpEbGdrcN5Y29ycA" class="cyc_term">ProbabilityInterval</a>, <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViYB5wpEbGdrcN5Y29ycA" class="cyc_term">RateOfRotation</a>, and <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViApZwpEbGdrcN5Y29ycA" class="cyc_term">Time_Quantity</a>. Specializations include <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rwDcy85wpEbGdrcN5Y29ycA" class="cyc_term">IntegerTypeByRange</a> and <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rlsKf-MukQdiEYr6WbI2G4Q" class="cyc_term">MeasurableQuantityType</a>. AtemporalNecessarilyEssentialCollectionType A collection of collections. Each instance <code>COL</code> of <a href="http://sw.opencyc.org/2008/06/10/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/2008/06/10/concept/Mx4rvViA45wpEbGdrcN5Y29ycA" class="cyc_term">disjointWith</a>) <a href="http://sw.opencyc.org/2008/06/10/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/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA" class="cyc_term">Collection</a>, <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>, and <a href="http://sw.opencyc.org/2008/06/10/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/2008/06/10/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/2008/06/10/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA" class="cyc_term">TemporalThing</a>) and <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rwP4FM5wpEbGdrcN5Y29ycA" class="cyc_term">UniqueAnatomicalPartType</a> (which, though disjoint with <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA" class="cyc_term">TemporalThing</a>, has instances, such as <a href="http://sw.opencyc.org/2008/06/10/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/2008/06/10/concept/Mx4rvrhK-JwpEbGdrcN5Y29ycA" class="cyc_term">CollectionUnionFn</a> (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjkdpwpEbGdrcN5Y29ycA" class="cyc_term">TheSet</a> <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjrdZwpEbGdrcN5Y29ycA" class="cyc_term">PrimeNumber</a> TodaysWinningLotteryNumbers)) This collection is clearly disjoint with <a href="http://sw.opencyc.org/2008/06/10/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/2008/06/10/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/2008/06/10/concept/Mx4rGeylLJTfEdqAAAACs0uFOQ" class="cyc_term">PragmaticallyDecontextualizedCollection</a>. type of atemporal collection in which membership is necessarily essential non-zero number (CollectionUnionFn (TheSet PositiveNumber NegativeNumber)) positive number PositiveNumber A specialization of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>. An instance NUMBER of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> is also an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> just in case NUMBER is greater than zero. Instances of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rv2r7MpwpEbGdrcN5Y29ycA" class="cyc_term">PositiveNumber</a> include 42 and 0.17, but not 0 or -5. Numbers-Math-Topic numbers-math-topic