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<!DOCTYPE rdf:RDF [
     <!ENTITY ocyc "http://sw.opencyc.org/concept/" >
     <!ENTITY cyc  "http://sw.cyc.com/concept/" >
     <!ENTITY rdf  "http://www.w3.org/1999/02/22-rdf-syntax-ns#" >
     <!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#" >
     <!ENTITY xsd  "http://www.w3.org/2001/XMLSchema#" >
     <!ENTITY owl  "http://www.w3.org/2002/07/owl#" >
   ]>

<rdf:RDF xml:base="http://sw.opencyc.org/2008/06/10/concept/"
         xmlns="http://sw.opencyc.org/2008/06/10/concept/"
         xmlns:cycAnnot="http://sw.cyc.com/CycAnnotations_v1#"
         xmlns:rdf="&rdf;"
         xmlns:rdfs="&rdfs;"
         xmlns:owl="&owl;"
         xmlns:xsd="&xsd;">

  <owl:Ontology rdf:about="http://sw.opencyc.org/2008/06/10/concept/">
    <owl:versionInfo>2008/06/10</owl:versionInfo>
    <rdfs:comment xml:lang="en">

      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.

    </rdfs:comment>
  </owl:Ontology>

  <owl:AnnotationProperty rdf:about="http://sw.cyc.com/CycAnnotations_v1#externalID">
    <rdfs:label xml:lang="en">externalID</rdfs:label>
    <rdfs:comment xml:lang="en">
      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.
    </rdfs:comment>
    <rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
  </owl:AnnotationProperty>

  <owl:AnnotationProperty rdf:about="http://sw.cyc.com/CycAnnotations_v1#label">
    <rdfs:label xml:lang="en">label</rdfs:label>
    <rdfs:comment xml:lang="en">
      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.
    </rdfs:comment>
  </owl:AnnotationProperty>

  <owl:Class rdf:about="Mx4rNs-F0CChEdaAAABQ2rksLw">
    <cycAnnot:label xml:lang="en">VariedOrderCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; and the collection of all and only those &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;s some of whose instances (or instances of instances, or instances of instances of instances, etc.) are of different &amp;quot;orders&amp;quot;, where order is understood as follows.  Let &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s be &amp;quot;zeroth-order&amp;quot; things, collections of (only) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s &amp;quot;first-order&amp;quot;, ..., and collections of (only) Nth-order things &amp;quot;(N+1)th-order&amp;quot;.  A more precise, recursive definition, then, is: a collection COL is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; if and only if COL has instances INST1 and INST2 such that either (i) INST1 and INST2 are of two different fixed orders N1 and N2, (ii) INST1 is of the fixed order N1 and INST2 is a varied-order collection, or (iii) INST1 and INST2 are both varied-order collections.
&lt;p/&gt;
For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt; is a varied-order collection since it contains both (zeroth-order) abstract individuals and (higher-order) collections.  Other instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.  Note that (by clauses ii and iii) any generalization of a varied-order collection is varied-order; and (by clause iii) any (non-empty) specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; is varied-order.
&lt;p/&gt;
Note that &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; (q.v.) and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; do _not_ constitute a partition of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;: since the notion of order described above is not applicable to sets, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; (e.g.) and its specializations are neither fixed-order nor varied-order collections.</rdfs:comment>
    <rdfs:label xml:lang="en">variable-order Cyc collection</rdfs:label>
    <rdfs:subClassOf rdf:resource="Mx4rvViAzJwpEbGdrcN5Y29ycA"/>
    <rdf:type rdf:resource="Mx4rvtppU5wpEbGdrcN5Y29ycA"/>
    <rdf:type rdf:resource="Mx4rNs-F0CChEdaAAABQ2rksLw"/>
    <owl:sameAs rdf:resource="&cyc;Mx4rNs-F0CChEdaAAABQ2rksLw"/>
    <owl:sameAs rdf:resource="&ocyc;Mx4rNs-F0CChEdaAAABQ2rksLw"/>
    <Mx4rwLSVCpwpEbGdrcN5Y29ycA xml:lang="en">variable-order Cyc collections</Mx4rwLSVCpwpEbGdrcN5Y29ycA>
  </owl:Class>

  <owl:Class rdf:about="Mx4ret7qgOKgEdmAAAACs6hfSg">
    <rdfs:subClassOf rdf:resource="Mx4rNs-F0CChEdaAAABQ2rksLw"/>
    <rdfs:label xml:lang="en">class of concepts belonging to a shared domain</rdfs:label>
    <cycAnnot:label xml:lang="en">ConceptTypeByDomain</cycAnnot:label>
    <rdfs:comment xml:lang="en">Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ret7qgOKgEdmAAAACs6hfSg&quot; class=&quot;cyc_term&quot;&gt;ConceptTypeByDomain&lt;/a&gt; is a collection, all of whose elements can be considered concepts which belong to some domain of knowledge.  For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rWJzeaOKhEdmAAAACs6hfSg&quot; class=&quot;cyc_term&quot;&gt;FamilyRelationsConcept&lt;/a&gt; is the collection that includes predicates, such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjj6ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblings&lt;/a&gt; or &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjPcJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;children&lt;/a&gt;, collections, such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjhG5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FamilyCohabitationUnit&lt;/a&gt;, and potentially other concepts that are part of the domain of family relationships.  It is important to note that instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ret7qgOKgEdmAAAACs6hfSg&quot; class=&quot;cyc_term&quot;&gt;ConceptTypeByDomain&lt;/a&gt; are not quoted collections -- i.e., their elements are not the _terms_ used to represent the concepts, but instead are the concepts themselves.</rdfs:comment>
  </owl:Class>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rxyRysnSxEdaAAACgyZzFrg">
    <rdfs:comment xml:lang="en">A collection of collections.  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rxyRysnSxEdaAAACgyZzFrg&quot; class=&quot;cyc_term&quot;&gt;TemporalThingTypeByExistentialStatus&lt;/a&gt; is a collection whose members in some way share an existential status, i.e., the extent to which they exist, fail to exist, or their existential history.</rdfs:comment>
    <cycAnnot:label xml:lang="en">TemporalThingTypeByExistentialStatus</cycAnnot:label>
    <rdfs:label xml:lang="en">existential attribute</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4r_4bScKNtQdiVw7XtX-HN0Q">
    <rdfs:label xml:lang="en">clarifying collection type</rdfs:label>
    <cycAnnot:label xml:lang="en">ClarifyingCollectionType</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;. 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 &amp;quot;WORD,&amp;quot; s/he intended to refer to something with P1, or to something with P2.  For example, the speaker might use the word &amp;quot;bank,&amp;quot; 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 &amp;quot;financial institution&amp;quot; and &amp;quot;shoreline&amp;quot; interpretations described above.  Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_4bScKNtQdiVw7XtX-HN0Q&quot; class=&quot;cyc_term&quot;&gt;ClarifyingCollectionType&lt;/a&gt; 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 &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_4bScKNtQdiVw7XtX-HN0Q&quot; class=&quot;cyc_term&quot;&gt;ClarifyingCollectionType&lt;/a&gt; and TYPE2 is not, and THING is an instance of both TYPE1 and TYPE2.  The fact that (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;isa&lt;/a&gt; TYPE1 &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_4bScKNtQdiVw7XtX-HN0Q&quot; class=&quot;cyc_term&quot;&gt;ClarifyingCollectionType&lt;/a&gt;) is a reason to prefer TYPE1 over TYPE2 when calculating possible clarifying properties for THING.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rh0nzCN1BEduAAAACs6hPlA">
    <cycAnnot:label xml:lang="en">ForestServiceGrantProposalConceptFilter</cycAnnot:label>
    <rdfs:label xml:lang="en">forest service grant proposal concept filter</rdfs:label>
    <rdfs:comment xml:lang="en">The collection of all concept filters designed to identify targets of concept extraction in the context of grant proposals for the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVihEZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitedStatesForestService&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvVjjo5wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Intangible</cycAnnot:label>
    <rdfs:label xml:lang="en">intangible</rdfs:label>
    <rdfs:comment xml:lang="en">The collection of things that are not physical -- are not made of, or encoded in, matter.  Every &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; is an &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt; (even if its instances are tangible), and so are some &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s.  Caution: do not confuse `tangibility&apos; with `perceivability&apos; -- humans can perceive light even though it&apos;s intangible--at least in a sense.  For more on this issue, see the relevant &lt;font color=&quot;#ff0000&quot;&gt;#$cyclistNotes&lt;/font&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvViA9JwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">thing</rdfs:label>
    <cycAnnot:label xml:lang="en">Thing</cycAnnot:label>
    <rdfs:comment xml:lang="en">&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt; is the &amp;quot;universal collection&amp;quot;: the collection which, by definition, contains everything there is.  Every thing in the Cyc ontology -- every &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt; (of any kind), every &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt;, and every &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; -- is an instance of (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;isa&lt;/a&gt;) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.  Similarly, every collection is a subcollection of (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt;) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.  Trivially, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt; is both an instance of and a subcollection of itself, and is not a subcollection of any other collection.  (Note that the above reference to &amp;quot;every thing in the Cyc ontology&amp;quot; is &lt;i&gt;not&lt;/i&gt; meant to be limited to things actually &lt;i&gt;reified&lt;/i&gt; in the Cyc system, but includes (e.g.) every instance -- reified or not, known or not -- of every collection recognized by Cyc.)</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rk8dxOFcGEdaLwgACs0uFOQ">
    <rdfs:label xml:lang="en">sibling disjoint set or collection type</rdfs:label>
    <cycAnnot:label xml:lang="en">SiblingDisjointSetOrCollectionType</cycAnnot:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rtGXkHpNaEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;KBDependentCollection&lt;/a&gt; of set-or-collections of set-or-collections; a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv93EfJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollectionType&lt;/a&gt;.  A sibling-disjoint set-or-collection type is such that its known (i.e. KB-represented) elements are set-or-collections that -- save for any that are related to each other by  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZA-05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;subsetOf&lt;/a&gt; and any that are explicitly asserted to be exceptions (see  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQtVmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblingDisjointExceptions&lt;/a&gt;) -- are disjoint from each other (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r0Qp80icKEdaDnQBQ2sS97g&quot; class=&quot;cyc_term&quot;&gt;no&lt;/a&gt;). 
&lt;p/&gt;
More precisely, each instance &lt;code&gt;&lt;b&gt;SIB&lt;/b&gt;&lt;/code&gt; of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rk8dxOFcGEdaLwgACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointSetOrCollectionType&lt;/a&gt; is a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt; of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;s that has the following KB-dependent property: 
&lt;p/&gt;
For any two known elements &lt;code&gt;&lt;b&gt;SETORCOL1&lt;/b&gt;&lt;/code&gt; and &lt;code&gt;&lt;b&gt;SETORCOL2&lt;/b&gt;&lt;/code&gt; of   &lt;code&gt;&lt;b&gt;SIB&lt;/b&gt;&lt;/code&gt;, at least one of the following is known to hold: 
&lt;pre&gt;
  (a) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZA-05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;subsetOf&lt;/a&gt; &lt;b&gt;SETORCOL1&lt;/b&gt; &lt;b&gt;SETORCOL2&lt;/b&gt;)
  (b) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZA-05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;subsetOf&lt;/a&gt; &lt;b&gt;SETORCOL2&lt;/b&gt; &lt;b&gt;SETORCOL1&lt;/b&gt;)
  (c) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQtVmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblingDisjointExceptions&lt;/a&gt; &lt;b&gt;SETORCOL1&lt;/b&gt; &lt;b&gt;SETORCOL2&lt;/b&gt;)
  (d) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r0Qp80icKEdaDnQBQ2sS97g&quot; class=&quot;cyc_term&quot;&gt;no&lt;/a&gt; &lt;b&gt;SETORCOL1&lt;/b&gt; &lt;b&gt;SETORCOL2&lt;/b&gt;)
&lt;/pre&gt;  
Moreover, note that if &lt;code&gt;&lt;b&gt;MT&lt;/b&gt;&lt;/code&gt; is a context (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA1ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Microtheory&lt;/a&gt;) in which (i) both &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwGWaK5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;elementOf&lt;/a&gt; &lt;b&gt;SETORCOL1&lt;/b&gt; &lt;b&gt;SIB&lt;/b&gt;)&lt;/code&gt; and &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwGWaK5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;elementOf&lt;/a&gt; &lt;b&gt;SETORCOL2&lt;/b&gt; &lt;b&gt;SIB&lt;/b&gt;)&lt;/code&gt; hold and (ii) neither &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZA-05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;subsetOf&lt;/a&gt; &lt;b&gt;SETORCOL1&lt;/b&gt; &lt;b&gt;SETORCOL2&lt;/b&gt;)&lt;/code&gt; nor &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZA-05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;subsetOf&lt;/a&gt; &lt;b&gt;SETORCOL2&lt;/b&gt; &lt;b&gt;SETORCOL1&lt;/b&gt;)&lt;/code&gt; nor &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQtVmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblingDisjointExceptions&lt;/a&gt; &lt;b&gt;SETORCOL1&lt;/b&gt; &lt;b&gt;SETORCOL2&lt;/b&gt;)&lt;/code&gt; is known to hold (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwP-JvpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;knownSentence&lt;/a&gt;), then &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r0Qp80icKEdaDnQBQ2sS97g&quot; class=&quot;cyc_term&quot;&gt;no&lt;/a&gt; &lt;b&gt;SETORCOL1&lt;/b&gt; &lt;b&gt;SETORCOL2&lt;/b&gt;)&lt;/code&gt; holds by default in &lt;code&gt;&lt;b&gt;MT&lt;/b&gt;&lt;/code&gt;.
&lt;p/&gt;
Cf. the stronger notion of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rk8dxOVcGEdaLwgACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;DisjointSetOrCollectionType&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4roYJopijpEdyAAAAOpmP6tw">
    <rdfs:label xml:lang="en">explanation worthy concept</rdfs:label>
    <cycAnnot:label xml:lang="en">ExplanationWorthyConcept</cycAnnot:label>
    <rdfs:comment xml:lang="en">The collection of concepts that are worthy of explanation in any given context.  Typically, these concepts are not so esoteric that people are incapable of understanding them, but the average person is likely to not know exactly what these concepts mean.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rwC5YvZwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">chemical weapons convention classification type</rdfs:label>
    <cycAnnot:label xml:lang="en">ChemicalWeaponsConventionClassificationType</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rwO1IkJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">type of flaw attribute</rdfs:label>
    <cycAnnot:label xml:lang="en">FlawAttributeType</cycAnnot:label>
    <rdfs:comment xml:lang="en">The collection of kinds of flaw attributes, i.e., kind vs. degree.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvhT1EZwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">underspecified location</rdfs:label>
    <rdfs:comment xml:lang="en">The collection of locations, tangible or otherwise, which are typically conceptualized by human beings for purposes of common-sense reasoning as locations. This collection thus includes tangible Places such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVj07JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Ireland_TheIsland&lt;/a&gt;, as well as metaphoric locations. For instance, many states-of-being are conceptualized as abstract locations, such as Trouble (&apos;he saw trouble ahead&apos;), Depression (&apos;she fell into a ...&apos;), &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi1AJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Happiness&lt;/a&gt; (&apos;they found bliss together&apos;).</rdfs:comment>
    <cycAnnot:label xml:lang="en">Location-Underspecified</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvbyh-JwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">The collection of objects, tangible or otherwise, which are typically conceptualized by human beings for purposes of common-sense reasoning as containers. Thus, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvbyh-JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Container_Underspecified&lt;/a&gt; includes not only the set of all physical containers, like boxes and suitcases, but metaphoric containers as well (such as the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvgJTqJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Mind&lt;/a&gt;, which is a container of ideas; the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjvDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Heart&lt;/a&gt;, which is a container of emotions; the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjgw5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Spleen&lt;/a&gt;, a container of anger, sentences, which are containers of words, arguments, which are containers of propositions, etc.).</rdfs:comment>
    <rdfs:label xml:lang="en">container underspecified</rdfs:label>
    <cycAnnot:label xml:lang="en">Container-Underspecified</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvViA4pwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rtGXkHpNaEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;KBDependentCollection&lt;/a&gt; of collections of  collections (and thus an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rviPYH5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeType&lt;/a&gt; and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;).  A sibling-disjoint collection type is such that its known  (i.e. KB-represented) instances are collections that -- save for any that are related to each other by  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt; and any that are explicitly asserted to be exceptions (see  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQtVmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblingDisjointExceptions&lt;/a&gt;) -- are disjoint from each other. 
&lt;p/&gt;
More precisely, each instance &lt;code&gt;&lt;b&gt;SIB&lt;/b&gt;&lt;/code&gt; of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointCollectionType&lt;/a&gt; is a collection of collections that has the following KB-dependent property: 
&lt;p/&gt;
For any two known instances &lt;code&gt;&lt;b&gt;COL1&lt;/b&gt;&lt;/code&gt; and &lt;code&gt;&lt;b&gt;COL2&lt;/b&gt;&lt;/code&gt; of   &lt;code&gt;&lt;b&gt;SIB&lt;/b&gt;&lt;/code&gt;, at least one of the following is known to hold: 
&lt;pre&gt;
  (a) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt; &lt;b&gt;COL1&lt;/b&gt; &lt;b&gt;COL2&lt;/b&gt;)
  (b) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt; &lt;b&gt;COL2&lt;/b&gt; &lt;b&gt;COL1&lt;/b&gt;)
  (c) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQtVmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblingDisjointExceptions&lt;/a&gt; &lt;b&gt;COL1&lt;/b&gt; &lt;b&gt;COL2&lt;/b&gt;)
  (d) (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA45wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;disjointWith&lt;/a&gt; &lt;b&gt;COL1&lt;/b&gt; &lt;b&gt;COL2&lt;/b&gt;)
&lt;/pre&gt;  
Moreover, note that if &lt;code&gt;&lt;b&gt;MT&lt;/b&gt;&lt;/code&gt; is a context (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA1ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Microtheory&lt;/a&gt;) in which (i) both &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;isa&lt;/a&gt; &lt;b&gt;COL1&lt;/b&gt; &lt;b&gt;SIB&lt;/b&gt;)&lt;/code&gt; and &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;isa&lt;/a&gt; &lt;b&gt;COL2&lt;/b&gt; &lt;b&gt;SIB&lt;/b&gt;)&lt;/code&gt; hold and (ii)  neither &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt; &lt;b&gt;COL1&lt;/b&gt; &lt;b&gt;COL2&lt;/b&gt;)&lt;/code&gt; nor &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt; &lt;b&gt;COL2&lt;/b&gt; &lt;b&gt;COL1&lt;/b&gt;)&lt;/code&gt; nor &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQtVmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblingDisjointExceptions&lt;/a&gt; &lt;b&gt;COL1&lt;/b&gt; &lt;b&gt;COL2&lt;/b&gt;)&lt;/code&gt; is known to hold (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwP-JvpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;knownSentence&lt;/a&gt;), then 
&lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA45wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;disjointWith&lt;/a&gt; &lt;b&gt;COL1&lt;/b&gt; &lt;b&gt;COL2&lt;/b&gt;)&lt;/code&gt; holds by default in &lt;code&gt;&lt;b&gt;MT&lt;/b&gt;&lt;/code&gt;.   
&lt;p/&gt;
For example, in &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjakJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BiologyMt&lt;/a&gt; both &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAkpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Person&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Dog&lt;/a&gt; are instances of the  sibling-disjoint collection type &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjK65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BiologicalSpecies&lt;/a&gt;, while neither  (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAkpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Person&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Dog&lt;/a&gt;) nor (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;genls&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Dog&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAkpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Person&lt;/a&gt;) nor  (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQtVmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;siblingDisjointExceptions&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAkpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Person&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Dog&lt;/a&gt;) is known to hold in that  context; consequently, (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA45wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;disjointWith&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAkpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Person&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Dog&lt;/a&gt;) holds by default  in &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjakJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BiologyMt&lt;/a&gt;.  Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointCollectionType&lt;/a&gt; include  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVji6JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BiologicalTaxon&lt;/a&gt; (and its specializations), &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwKTnSJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrganismPartType&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwE01SZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;RelationshipTypeByArity&lt;/a&gt;.
&lt;p/&gt;
See the generalization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rk8dxOFcGEdaLwgACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointSetOrCollectionType&lt;/a&gt;.  Also cf. the stronger notion of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">sibling disjoint collection type</rdfs:label>
    <cycAnnot:label xml:lang="en">SiblingDisjointCollectionType</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvs3oDZwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">specified Cyc collection</rdfs:label>
    <cycAnnot:label xml:lang="en">SpecifiedCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvs3oDZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpecifiedCollection&lt;/a&gt; is the collection of all collections that are subsets of some specified &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4r7AI7wsznEdedaAACs6hRuw">
    <rdfs:label xml:lang="en">saffron situation type constant</rdfs:label>
    <cycAnnot:label xml:lang="en">SaffronSituationTypeConstant</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;font color=&quot;#ff0000&quot;&gt;#$CDETagTranslationConstant&lt;/font&gt;. Instances are constants which are used to translate the mark-up tags which are used by Saffron&apos;s SAMS tool to indicate that a situation is of particular type. It subsumes &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rOjl1WKzFQdeKPbv8xr-6tQ&quot; class=&quot;cyc_term&quot;&gt;BBNRelationTypePredicate&lt;/a&gt;, but also includes various specializations of Event.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rbEngJGwWEdqAAAACs71DGQ">
    <rdfs:comment xml:lang="en">A collection of collections.  Every instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rbEngJGwWEdqAAAACs71DGQ&quot; class=&quot;cyc_term&quot;&gt;CollectionClosedUnderSpecialization&lt;/a&gt; is a collection &lt;code&gt;&lt;b&gt;COLL-TYPE&lt;/b&gt;&lt;/code&gt; with the following property: If the collection &lt;code&gt;&lt;b&gt;COLL&lt;/b&gt;&lt;/code&gt; is an instance of &lt;code&gt;&lt;b&gt;COLL-TYPE&lt;/b&gt;&lt;/code&gt;, then for any specialization &lt;code&gt;&lt;b&gt;SPEC&lt;/b&gt;&lt;/code&gt; of &lt;code&gt;&lt;b&gt;COLL&lt;/b&gt;&lt;/code&gt;, &lt;code&gt;&lt;b&gt;SPEC&lt;/b&gt;&lt;/code&gt; is also an instance of &lt;code&gt;&lt;b&gt;COLL-TYPE&lt;/b&gt;&lt;/code&gt;.  Notable examples include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVitN5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TemporalStuffType&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">collection closed under specialization</rdfs:label>
    <cycAnnot:label xml:lang="en">CollectionClosedUnderSpecialization</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvVjl_ZwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">SetOrCollection</cycAnnot:label>
    <rdfs:label xml:lang="en">intensional or extensional set</rdfs:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjltpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalThing&lt;/a&gt;.  Something is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt; just in case it is a collection (i.e. an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;) or a mathematical set (i.e. an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt;).  Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; and instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; (and thus instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;) share some basic common features.  All instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; and all instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; (and thus all instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;) are abstract entities, lacking spatial and temporal properties.  Nearly all instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; (except &amp;quot;empty&amp;quot; collections) and nearly all instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; (except the empty set; see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvfjtrpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TheEmptySet&lt;/a&gt;) have &amp;quot;elements&amp;quot; (i.e. instances or members; see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwGWaK5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;elementOf&lt;/a&gt;); hence set-or-collections may stand to one another in generalized set-theoretic relations such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZA-05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;subsetOf&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA45wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;disjointWith&lt;/a&gt; (qq.v.).  (It is this shared feature of having elements that provides the basic rationale for reifying the collection &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;.)  Nevertheless, sets and collections differ in two important ways.  First, each collection is intrinsically associated with an intensional criterion for membership -- a more or less natural property (or group of properties) possessed by all of (and only) its elements.  Collections are thus akin to kinds.  In contrast, the elements of a set are not required to be homogeneous in any respect: any things whatsoever may together constitute the elements of a set.  The second major difference between sets and collections is that no two distinct sets can be coextensional (i.e. have exactly the same elements; see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkIOpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;coExtensional&lt;/a&gt;).  Sets can thus be identified purely on the basis of their extensions (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwN2YGZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;extent&lt;/a&gt;).  Collections, on the other hand, are individuated by their intensional criteria for membership.  So collections that have exactly the same elements might nevertheless be distinct, differing in their respective membership criteria.  (Note that the general relationship between collections and their &amp;quot;intensional criteria for membership&amp;quot; in the above sense is not something that is currently represented explicitly in the Knowledge Base (though this seems a worthwhile area for future work); still the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBCZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;comment&lt;/a&gt; and other &amp;quot;definitional&amp;quot; assertions on a given collection should ideally convey a reasonably clear and precise idea of its associated membership criterion.)</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rqEYnNVMqEdaSKAACs0x8nw">
    <cycAnnot:label xml:lang="en">AtemporalNecessarilyEssentialCollectionType</cycAnnot:label>
    <rdfs:comment xml:lang="en">A collection of collections.  Each instance &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rqEYnNVMqEdaSKAACs0x8nw&quot; class=&quot;cyc_term&quot;&gt;AtemporalNecessarilyEssentialCollectionType&lt;/a&gt; (&lt;i&gt;ANECT&lt;/i&gt;) is a collection satisfying three conditions: (1) &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; is disjoint with (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA45wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;disjointWith&lt;/a&gt;) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TemporalThing&lt;/a&gt;, (2) every instance &lt;code&gt;&lt;b&gt;INST&lt;/b&gt;&lt;/code&gt; of &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; is an instance of &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; essentially (i.e. &lt;code&gt;&lt;b&gt;INST&lt;/b&gt;&lt;/code&gt; is an instance of &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt;, and could not exist without being an instance of &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt;), and (3) condition (2) is a necessary truth about &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt;.
&lt;p/&gt;
Positive examples of ANECTs include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Integer&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Relation&lt;/a&gt; (each of which is a collection of atemporals and is such that, necessarily, all of its instances are in it essentially).  Negative examples include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjpUZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpatialThing&lt;/a&gt; (though arguably it is necessary that all of its instances are essentially instances of it, it is not disjoint with &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TemporalThing&lt;/a&gt;) and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwP4FM5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UniqueAnatomicalPartType&lt;/a&gt; (which, though disjoint with &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TemporalThing&lt;/a&gt;, has instances, such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjvDpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Heart&lt;/a&gt;, that could exist even if they weren&apos;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&apos;s winning lottery numbers were primes.  Now consider the collection:
&lt;p/&gt;
 (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvrhK-JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionUnionFn&lt;/a&gt; 
   (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjkdpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TheSet&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjrdZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;PrimeNumber&lt;/a&gt; &lt;i&gt;TodaysWinningLotteryNumbers&lt;/i&gt;))
&lt;p/&gt;
This collection is clearly disjoint with &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TemporalThing&lt;/a&gt; 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 &lt;i&gt;necessarily&lt;/i&gt; 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&apos;s winning lottery numbers was non-prime, and no number is such that it is essentially one of today&apos;s winning lottery numbers.
&lt;p/&gt;
When asserting that something is an instance or specialization of a given instance of ANECT, it is appropriate to do so in the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r3_SgQU2iEdaCwAACs0x8nw&quot; class=&quot;cyc_term&quot;&gt;UniversalVocabularyMt&lt;/a&gt; (q.v.).  Indeed, ANECT was specially defined to facilitate the movement of appropriate assertions to that microtheory.
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rGeylLJTfEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;PragmaticallyDecontextualizedCollection&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">type of atemporal collection in which membership is necessarily essential</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4roVp5xVzKEdiLrQAH6RYvVA">
    <cycAnnot:label xml:lang="en">NonAbducibleCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">The collection &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4roVp5xVzKEdiLrQAH6RYvVA&quot; class=&quot;cyc_term&quot;&gt;NonAbducibleCollection&lt;/a&gt; is a sub-collection of 
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;.  Abductive inferences sometimes involve hypothesizing 
the existence of entities as part of the explanation of some assertion or 
set of assertions. Cyc will not hypothesize the existence of instances of 
the collections that are instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4roVp5xVzKEdiLrQAH6RYvVA&quot; class=&quot;cyc_term&quot;&gt;NonAbducibleCollection&lt;/a&gt;.  Roughly, 
abductive inferences consume conceptual / theoretical knowledge rather 
than produce it.  So, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHQdVmB_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;SecondOrderCollection&lt;/a&gt; is an instance of 
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4roVp5xVzKEdiLrQAH6RYvVA&quot; class=&quot;cyc_term&quot;&gt;NonAbducibleCollection&lt;/a&gt; because Cyc should be employing existing 
theoretical knowledge about instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHQdVmB_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;SecondOrderCollection&lt;/a&gt; rather 
than hypothesizing new instances.</rdfs:comment>
    <rdfs:label xml:lang="en">non abducible collection</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvVj3tpwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">The collection of things that either are wholly intangible (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt;) or have at least one intangible (i.e. immaterial) part (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi2BJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;intangibleParts&lt;/a&gt;).  This includes intangible individuals, such as instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvxwC-ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Number_General&lt;/a&gt; or &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVivo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Agreement&lt;/a&gt;, as well as non-individuals (all of which are intangible), i.e. instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;.  It also includes things that have both tangible and intangible components (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVj3cZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CompositeTangibleAndIntangibleObject&lt;/a&gt;), such as a printed copy of a newspaper (as its information content is intangible) or a person (as her mental states are intangible).</rdfs:comment>
    <rdfs:label xml:lang="en">partially intangible thing</rdfs:label>
    <cycAnnot:label xml:lang="en">PartiallyIntangible</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvzndCZwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">TimeIndependentCollection</cycAnnot:label>
    <rdfs:label xml:lang="en">time independent collection</rdfs:label>
    <rdfs:comment xml:lang="en">A collection of collections.  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvzndCZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TimeIndependentCollection&lt;/a&gt; is a collection whose membership cannot change over time.  Examples of time-independent collections are &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvxwC-ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Number_General&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv0YfN5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalObject&lt;/a&gt;.  By contrast, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwFronJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Supermodel&lt;/a&gt; is clearly a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIE23ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TimeDependentCollection&lt;/a&gt; (q.v.).</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rwHliY5wpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">The collection of all semantically underspecified pathways,
whether spatial (and literal) like a garden path or a footpath (e.g.,
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwP1K_pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Trail&lt;/a&gt;s), or metaphoric and non-spatial, linking abstract locations
(i.e., &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvhT1EZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Location_Underspecified&lt;/a&gt;) as in &apos;greed is the path to hell&apos;, &apos;money
is the path to success&apos;, etc.</rdfs:comment>
    <rdfs:label xml:lang="en">underspecified path</rdfs:label>
    <cycAnnot:label xml:lang="en">Path-Underspecified</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rwDKK2JwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">type of collection type classified by disjointness</rdfs:label>
    <rdfs:comment xml:lang="en">A collection of instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rviPYH5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeType&lt;/a&gt;.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDKK2JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeTypeByDisjointness&lt;/a&gt; is a collection of the three major types of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;s: &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; is the most general type of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; and tells nothing about how the collections in the type are related (no disjointness restrictions).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointCollectionType&lt;/a&gt; (a spec of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;) gives some disjointness constraints, but with some exceptions.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt; gives the most disjointness constraints--all instances of any instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt; must by disjoint collections.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDKK2JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeTypeByDisjointness&lt;/a&gt; is in the KB to explicitly show how &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointCollectionType&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt; are related to anyone dealing with &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;s.  The facet assertion (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv86JWpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;facets_Covering&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDKK2JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeTypeByDisjointness&lt;/a&gt;) states that any instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; should be checked for possible membership in &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointCollectionType&lt;/a&gt; or &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">CollectionTypeTypeByDisjointness</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rJOcjfEM0EdaAAABQ2rksLw">
    <rdfs:label xml:lang="en">collection order</rdfs:label>
    <rdfs:comment xml:lang="en">The collection of all &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt;s which include every collection of that same fixed order.  These include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt; (zero-order), &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHIBS0h_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FirstOrderCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHQdVmB_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;SecondOrderCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHUFI8h_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;ThirdOrderCollection&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHM37Dh_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FourthOrderCollection&lt;/a&gt;.  If higher order collections are defined, they will also be members of this collection.</rdfs:comment>
    <cycAnnot:label xml:lang="en">CollectionOrder</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rGeylLJTfEdqAAAACs0uFOQ">
    <rdfs:label xml:lang="en">pragmatically decontextualized collection</rdfs:label>
    <cycAnnot:label xml:lang="en">PragmaticallyDecontextualizedCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;.  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rGeylLJTfEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;PragmaticallyDecontextualizedCollection&lt;/a&gt; is a collection that, while not a genuine ANECT (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rqEYnNVMqEdaSKAACs0x8nw&quot; class=&quot;cyc_term&quot;&gt;AtemporalNecessarilyEssentialCollectionType&lt;/a&gt;) is for purely pragmatic reasons handled by the Cyc system as if it were an ANECT.  Instances include certain &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rtGXkHpNaEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;KBDependentCollection&lt;/a&gt;s such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ReifiableFunction&lt;/a&gt;, and certain non-KB-dependent collections such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvgEoapwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SymmetricBinaryPredicate&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4r3se9CqwRQdeerO-u48cI_g">
    <rdfs:label xml:lang="en">social status collection type</rdfs:label>
    <cycAnnot:label xml:lang="en">SocialStatusCollectionType</cycAnnot:label>
    <rdfs:comment xml:lang="en">This is a collection of collections.  Each &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r3se9CqwRQdeerO-u48cI_g&quot; class=&quot;cyc_term&quot;&gt;SocialStatusCollectionType&lt;/a&gt; is itself a coherent collection of collections that pertain to human behavior.  This definition is very broad, and embraces attributes of behavior (personal and social) one might read about in a sociology, psychology, cultural anthropology, economics, political science, or social philosophy course -- in short, in the (human) `behavioral&apos; sciences.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rv93EfJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">type of Cyc set or collection</rdfs:label>
    <rdfs:comment xml:lang="en">The &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; of all &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;s of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;s.</rdfs:comment>
    <cycAnnot:label xml:lang="en">SetOrCollectionType</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rpJ-nSEkJQdeC8NLkYPDBBw">
    <cycAnnot:label xml:lang="en">AbstractThing</cycAnnot:label>
    <rdfs:label xml:lang="en">abstract thing</rdfs:label>
    <rdfs:comment xml:lang="en">The collection that is by definition the intersection of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rGfrGRkkIQdeI2O3iJCGV3Q&quot; class=&quot;cyc_term&quot;&gt;AtemporalThing&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r6-GNDEkIQdeTPvxS8JnCLA&quot; class=&quot;cyc_term&quot;&gt;AspatialThing&lt;/a&gt; (qq.v.).  A given thing is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt; just in case it is &amp;quot;abstract&amp;quot;, in the sense of having neither temporal nor spatial extent or location.  Specializations of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvxwC-ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Number_General&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Relation&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA7JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Proposition&lt;/a&gt; (qq.v.).  Note that a set or collection is considered an abstract thing even if its elements are not abstract.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rNooX_CChEdaAAABQ2rksLw">
    <rdfs:label xml:lang="en">fixed-order Cyc collection</rdfs:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; and the collection of all and only those &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;s whose own instances are all of the same fixed &amp;quot;order&amp;quot;, where order is understood as follows.  Let individuals (i.e. instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;) be &amp;quot;zeroth-order&amp;quot; things, collections of (only) individuals &amp;quot;first-order&amp;quot; collections, ..., and collections of (only) &lt;code&gt;&lt;b&gt;N&lt;/b&gt;&lt;/code&gt;th-order things &amp;quot;&lt;code&gt;(&lt;b&gt;N&lt;/b&gt;&lt;/code&gt;+1)th-order&amp;quot; collections. More precisely, then, a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; is a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; if and only if it is an &lt;code&gt;&lt;b&gt;N&lt;/b&gt;&lt;/code&gt;th-order collection (for &lt;code&gt;&lt;b&gt;N&lt;/b&gt;&lt;/code&gt; &amp;gt;= 1).
&lt;p/&gt;
Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHIBS0h_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FirstOrderCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHQdVmB_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;SecondOrderCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHUFI8h_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;ThirdOrderCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHM37Dh_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FourthOrderCollection&lt;/a&gt;, and all specializations of these.  Specializations of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; include all of the preceding examples except &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt; and its specializations.
&lt;p/&gt;
Note that any &lt;font color=&quot;#ff0000&quot;&gt;#$quotedCollection&lt;/font&gt; (q.v.) is a fixed-order collection, since all of its instances are CycL expressions.  Thus (e.g.) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZczwpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CycLDenotationalTerm&lt;/a&gt; is fixed-order.  It would be a mistake to infer, from the fact that the instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvZczwpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CycLDenotationalTerm&lt;/a&gt; happen to &lt;i&gt;denote&lt;/i&gt; things of different orders, that this collection is itself not of fixed-order.
&lt;p/&gt;
An example of a collection that is &lt;i&gt;not&lt;/i&gt; fixed-order is &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt;, which is a varied-order collection since it contains both (zeroth-order) abstract individuals and (first-and-higher-order) collections.
&lt;p/&gt;
Note that, although they are mutually disjoint, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; (q.v.) do &lt;i&gt;not&lt;/i&gt; constitute a partition of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;: since the notion of order described above is not applicable to sets, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; (e.g.) and its specializations are neither fixed-order nor varied-order collections.</rdfs:comment>
    <cycAnnot:label xml:lang="en">FixedOrderCollection</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvWPoRpwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">DisjointCollectionType</cycAnnot:label>
    <rdfs:comment xml:lang="en">A collection of collections of collections and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointCollectionType&lt;/a&gt; (q.v.).  A disjoint collection type is such that its instances are collections that are all disjoint from one another.  That is, each instance &lt;code&gt;&lt;b&gt;DISCOLTYPE&lt;/b&gt;&lt;/code&gt; of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt; is a collection whose instances are mutually disjoint collections: no two instances of &lt;code&gt;&lt;b&gt;DISCOLTYPE&lt;/b&gt;&lt;/code&gt; have any instances in common.  Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjK65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BiologicalSpecies&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwKJAl5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SportsTeamTypeBySport&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">disjoint classification scheme</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rGfrGRkkIQdeI2O3iJCGV3Q">
    <cycAnnot:label xml:lang="en">AtemporalThing</cycAnnot:label>
    <rdfs:label xml:lang="en">atemporal thing</rdfs:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt; (q.v.); the collection of all things that are &amp;quot;timeless&amp;quot; in the sense of having no &amp;quot;location&amp;quot; in time.  It makes no sense to ask of an atemporal thing (e.g.) &amp;quot;&lt;i&gt;When&lt;/i&gt; did it begin (or cease) to exist?&amp;quot;  Examples of atemporal things include sets, collections, numbers, vectors, and certain &amp;quot;abstract structures&amp;quot; (such as the structure of a partial ordering); see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvxwC-ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Number_General&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjsEpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VectorInterval&lt;/a&gt;.  Note that while all atemporals are intangible, the converse is not true.  Novels (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJb5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Novel_CW&lt;/a&gt;), languages, and geographical borders, for instance, are all intangible (i.e. they are not composed of or encoded in matter) but &lt;i&gt;not&lt;/i&gt; atemporal, as they have a beginning and (in many cases) an end, and thus a temporal extent.  See also the specialization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt;; and cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAxJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TemporalThing&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rOEevWKNuQdiN04S0lcdxLw">
    <rdfs:comment xml:lang="en">The collection of all instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_4bScKNtQdiVw7XtX-HN0Q&quot; class=&quot;cyc_term&quot;&gt;ClarifyingCollectionType&lt;/a&gt; that are used by the &lt;font color=&quot;#ff0000&quot;&gt;#$KRAKEN&lt;/font&gt; application to resolve natural language ambiguities.</rdfs:comment>
    <rdfs:label xml:lang="en">KE clarifying collection type</rdfs:label>
    <cycAnnot:label xml:lang="en">KEClarifyingCollectionType</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvVjltpwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">MathematicalThing</cycAnnot:label>
    <rdfs:label xml:lang="en">mathematical concept</rdfs:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjH5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalOrComputationalThing&lt;/a&gt;.  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjltpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalThing&lt;/a&gt; is an atemporal, nonspatial, purely mathematical thing.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjltpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalThing&lt;/a&gt; is partitioned into two main specializations, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv0YfN5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalObject&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt; (qq.v).</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvViAzJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">type of thing</rdfs:label>
    <cycAnnot:label xml:lang="en">Collection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt; (q.v.).  This is the collection of all collections of things.  Each &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; is a kind or type of thing whose instances share a certain property, attribute, or feature.  For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkFc5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Cat&lt;/a&gt; is the collection of all and only cats, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwOckfJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BinaryFunction&lt;/a&gt; is the collection of all and only functions taking two arguments.
&lt;p/&gt;
The notion of collection is fundamental to the Cyc ontology, and is thus difficult to define in a precise and substantive way.  But it is instructive to compare it to the mathematical notion of a set (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt;).  Like a set, a collection is an &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt; (i.e. aspatial and atemporal) that is not an &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt; (cf.), but instead has elements (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwGWaK5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;elementOf&lt;/a&gt;).  Unlike a set, however, the elements or &amp;quot;instances&amp;quot; (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;isa&lt;/a&gt;) of a given collection can vary from context to context, and it is possible for distinct collections to have exactly the same elements (i.e. to have the same &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwN2YGZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;extent&lt;/a&gt;) with respect to a given context. For example, the (non-reified) collections &amp;quot;Chordate&amp;quot; and &amp;quot;Renate&amp;quot; are co-extensional in the context of the present-day actual world, but have differring extents with respect to hypothetical contexts in which there exist creatures having hearts but not kidneys.  This difference is sometimes summarized by saying that sets are &amp;quot;extensional&amp;quot; things and collections are &amp;quot;intensional&amp;quot; things.
&lt;p/&gt;
Many, though by no means all, of the collections reified in the Cyc ontology correspond to natural kinds or classes.  It is particulary useful to reify collections that are difficult to define precisely, but about which there are many common-sense rules and other things to state.  For example, it would not be worthwile to introduce a constant &apos;WhiteCat&apos;, both because it&apos;s easy to define the collection of white cats in terms of more general, already-reified notions (e.g. &apos;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwEcGC5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionIntersection2Fn&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkFc5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Cat&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rBjWwGHS-EdaAAACgyZzFrg&quot; class=&quot;cyc_term&quot;&gt;WhiteColor&lt;/a&gt;)&apos;), and because there&apos;s not much to say about that particular collection.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rsX6vHnS6EdaAAACgyZzFrg&quot; class=&quot;cyc_term&quot;&gt;WhiteCollarWorker&lt;/a&gt;, on the other hand, is a good collection to have reified, as it is hard to define precisely, yet is a collection about which there are many things to say.
&lt;p/&gt;
Some of the many reified specializations of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt; are &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHIBS0h_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FirstOrderCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIE23ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TimeDependentCollection&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVirnZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ObjectType&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rB2YikmUtEduAAAACs6hRXg">
    <rdfs:comment xml:lang="en">The collection &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rB2YikmUtEduAAAACs6hRXg&quot; class=&quot;cyc_term&quot;&gt;FactGatheringTypicallyUnspecifiedSetOrCollection&lt;/a&gt; is a sub-collection of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;.  Each instance of this collection is such that if it is the argIsa argument constraint for the Nth argument position for a predicate P, then that predicate position is one which should not be the only specified position when the constructing knowledge acquisition goals with P in the arg0 position.</rdfs:comment>
    <cycAnnot:label xml:lang="en">FactGatheringTypicallyUnspecifiedSetOrCollection</cycAnnot:label>
    <rdfs:label xml:lang="en">fact gathering typically unspecified set or collection</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rsY6gaGxxQdefg9tLUtQ-BQ">
    <cycAnnot:label xml:lang="en">TotallyOrderedCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A collection of collections and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rkBjx4Dg4EdaAAACgye4oEQ&quot; class=&quot;cyc_term&quot;&gt;CollectionWithAnEventLikeOrder&lt;/a&gt; (q.v.).  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rsY6gaGxxQdefg9tLUtQ-BQ&quot; class=&quot;cyc_term&quot;&gt;TotallyOrderedCollection&lt;/a&gt; is a collection whose instances are conventionally regarded as being ordered by some relation &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt;, where &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt; totally orders &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt;.  A relation &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt; &lt;i&gt;&lt;b&gt;totally orders&lt;/b&gt;&lt;/i&gt; a collection &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; just in case &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt; is &lt;i&gt;reflexive&lt;/i&gt;, &lt;i&gt;antisymmetric&lt;/i&gt;, and &lt;i&gt;transitive&lt;/i&gt; on &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt;, and &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; is &lt;i&gt;connected&lt;/i&gt; with respect to &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt; (i.e. for any instances &lt;code&gt;&lt;b&gt;INST1&lt;/b&gt;&lt;/code&gt; and &lt;code&gt;&lt;b&gt;INST2&lt;/b&gt;&lt;/code&gt; of &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt;, either &lt;code&gt;(&lt;b&gt;RELN&lt;/b&gt; &lt;b&gt;INST1&lt;/b&gt; &lt;b&gt;INST2&lt;/b&gt;)&lt;/code&gt; or &lt;code&gt;(&lt;b&gt;RELN&lt;/b&gt; &lt;b&gt;INST2&lt;/b&gt; &lt;b&gt;INST1&lt;/b&gt;)&lt;/code&gt; holds).
&lt;p/&gt;
For example, the integers are conventionally regarded as being ordered by &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAr5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;greaterThanOrEqualTo&lt;/a&gt;, which totally orders &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Integer&lt;/a&gt;. Thus &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Integer&lt;/a&gt; is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rsY6gaGxxQdefg9tLUtQ-BQ&quot; class=&quot;cyc_term&quot;&gt;TotallyOrderedCollection&lt;/a&gt;, and (since all integers are scalars) of its specialization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r91ZApkTvEdaAAACgye4oEQ&quot; class=&quot;cyc_term&quot;&gt;TotallyOrderedScalarIntervalType&lt;/a&gt; (q.v.).</rdfs:comment>
    <rdfs:label xml:lang="en">totally ordered collection</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rNs-F0CChEdaAAABQ2rksLw">
    <cycAnnot:label xml:lang="en">VariedOrderCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; and the collection of all and only those &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;s some of whose instances (or instances of instances, or instances of instances of instances, etc.) are of different &amp;quot;orders&amp;quot;, where order is understood as follows.  Let &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s be &amp;quot;zeroth-order&amp;quot; things, collections of (only) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s &amp;quot;first-order&amp;quot;, ..., and collections of (only) Nth-order things &amp;quot;(N+1)th-order&amp;quot;.  A more precise, recursive definition, then, is: a collection COL is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; if and only if COL has instances INST1 and INST2 such that either (i) INST1 and INST2 are of two different fixed orders N1 and N2, (ii) INST1 is of the fixed order N1 and INST2 is a varied-order collection, or (iii) INST1 and INST2 are both varied-order collections.
&lt;p/&gt;
For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt; is a varied-order collection since it contains both (zeroth-order) abstract individuals and (higher-order) collections.  Other instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.  Note that (by clauses ii and iii) any generalization of a varied-order collection is varied-order; and (by clause iii) any (non-empty) specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; is varied-order.
&lt;p/&gt;
Note that &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; (q.v.) and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; do _not_ constitute a partition of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;: since the notion of order described above is not applicable to sets, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; (e.g.) and its specializations are neither fixed-order nor varied-order collections.</rdfs:comment>
    <rdfs:label xml:lang="en">variable-order Cyc collection</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rk8dxOVcGEdaLwgACs0uFOQ">
    <rdfs:comment xml:lang="en">A collection of mathematical sets and collections whose elements are themselves mathematical sets or collections.  A set or collection, SETORCOL, of sets or collections is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rk8dxOVcGEdaLwgACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;DisjointSetOrCollectionType&lt;/a&gt; just in case the elements of SETORCOL are mutually disjoint -- that is, no two elements of SETORCOL have any elements in common.</rdfs:comment>
    <cycAnnot:label xml:lang="en">DisjointSetOrCollectionType</cycAnnot:label>
    <rdfs:label xml:lang="en">disjoint set or collection</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvytlApwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">An &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvytlApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ArbitraryUnion&lt;/a&gt; is a collection whose extent is the arbitrary agglomeration of two or more other collections.  Merely being a union of two other collections is not sufficient -- the union must be an arbitrary one in which it is difficult to state any interesting property about the union other than the specification of the collections which together make up its extent.  For example, a concept like CoyoteOrRoadRunner would likely be an &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvytlApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ArbitraryUnion&lt;/a&gt;, whereas &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAkpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Person&lt;/a&gt;, which is the union of &lt;font color=&quot;#ff0000&quot;&gt;#$MalePerson&lt;/font&gt; and &lt;font color=&quot;#ff0000&quot;&gt;#$FemalePerson&lt;/font&gt; is definitely not.</rdfs:comment>
    <cycAnnot:label xml:lang="en">ArbitraryUnion</cycAnnot:label>
    <rdfs:label xml:lang="en">arbitrary union</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rbVbk0uSjEdyAAAAOpmP6eA">
    <cycAnnot:label xml:lang="en">USCodeFilter</cycAnnot:label>
    <rdfs:comment xml:lang="en">The collection of all concept filters designed to focus concept-extraction against the US Code.  A type of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rfhC-sMZzEdqAAAACs2IKaQ&quot; class=&quot;cyc_term&quot;&gt;ConceptFilter&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">US code filter</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rviPYH5wpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">type of collection type</rdfs:label>
    <cycAnnot:label xml:lang="en">CollectionTypeType</cycAnnot:label>
    <rdfs:comment xml:lang="en">A higher-order collection and an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt;. Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rviPYH5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeType&lt;/a&gt; are types of collection types, that is, collections whose instances are collections of (not necessarily first-order) collections. Thus any instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; (q.v.) of order greater than or equal to 3 is a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rviPYH5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeType&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvubaMZwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">A collection of collections.  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvubaMZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ConventionalClassificationType&lt;/a&gt; is a collection that corresponds to a category in some agreed-upon or conventional classification system (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNgIyZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ClassificationSystem&lt;/a&gt;) used by people.  In such systems, a change or reclassification is possible by a decision of an authority, or by a changed social agreement or custom, without changing the intrinsic natures of the actual objects in the category.   &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvubaMZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ConventionalClassificationType&lt;/a&gt;s include categories in biological taxonomy, standard classifications in data dictionaries and thesauri, cultural taboo classes, military doctrinal classes, and named calendar intervals.</rdfs:comment>
    <cycAnnot:label xml:lang="en">ConventionalClassificationType</cycAnnot:label>
    <rdfs:label xml:lang="en">conventional classification type</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4r_3mf2qedQdmNjeDW39lDKA">
    <rdfs:label xml:lang="en">non empty collection</rdfs:label>
    <cycAnnot:label xml:lang="en">NonEmptyCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A collection of collections and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rVwwqbE7rQdmaWqcELb2oPw&quot; class=&quot;cyc_term&quot;&gt;NonEmptySetOrCollection&lt;/a&gt;.  A collection is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_3mf2qedQdmNjeDW39lDKA&quot; class=&quot;cyc_term&quot;&gt;NonEmptyCollection&lt;/a&gt; if and only if it has at least one instance.  
&lt;p/&gt;
Some collections, aguably, are by their very nature necessarily non-empty; e.g. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt;.  Conversely, some collections are non-empty in some contexts and empty in others; e.g. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQBg3ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Horse&lt;/a&gt; is non-empty in the context of the present-day actual world but empty in certain counterfactual contexts in which horses never existed.  Similarly, a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIE23ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TimeDependentCollection&lt;/a&gt; might be empty at certain times and non-empty at certain other times; e.g. the collection of female US presidents is currently empty but will hopefully become non-empty some time in the near future.  This last example demonstrates that &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_3mf2qedQdmNjeDW39lDKA&quot; class=&quot;cyc_term&quot;&gt;NonEmptyCollection&lt;/a&gt; is itself a time-dependent collection.
&lt;p/&gt;
Note that each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_3mf2qedQdmNjeDW39lDKA&quot; class=&quot;cyc_term&quot;&gt;NonEmptyCollection&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rlyZyQm22EdaAAACgydogAg&quot; class=&quot;cyc_term&quot;&gt;intersectsWith&lt;/a&gt; (q.v.) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rDKZQEKVnQdmACrINeAfsGw&quot; class=&quot;cyc_term&quot;&gt;EmptyCollection&lt;/a&gt;.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvtppU5wpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">A collection of collections of collections.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; is the collection of all (and only) types of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;s.
More precisely, a thing COLLTYPE is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; if and 
only if COLLTYPE is a non-empty collection all of whose instances are collections.  Example: &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPzQbJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;PersonTypeByCulture&lt;/a&gt;, each of whose instances is the collection of all persons who participate in some particular human culture, is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;.  Important specializations of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvWPoRpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DisjointCollectionType&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SiblingDisjointCollectionType&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rviPYH5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionTypeType&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">CollectionType</cycAnnot:label>
    <rdfs:label xml:lang="en">type of collection</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4r0Nnh5iJqEduAAADggVbxzQ">
    <rdfs:label xml:lang="en">investment related thing</rdfs:label>
    <cycAnnot:label xml:lang="en">InvestmentRelatedThing</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvViJu5wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">SocialQuantityType</cycAnnot:label>
    <rdfs:label xml:lang="en">social quantity type</rdfs:label>
    <rdfs:comment xml:lang="en">This is a collection of collections.  Each &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJu5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SocialQuantityType&lt;/a&gt; is itself a coherent collection of quantities that pertain to human behavior.  This definition is very broad, and embraces attributes of behavior (personal and social) one might read about in a sociology, psychology, cultural anthropology, economics, political science, or social philosophy course -- in short, in the (human) `behavioral&apos; sciences.</rdfs:comment>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rDKZQEKVnQdmACrINeAfsGw">
    <rdfs:label xml:lang="en">empty collection</rdfs:label>
    <rdfs:comment xml:lang="en">A collection of collections and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv1ZxY5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;EmptySetOrCollection&lt;/a&gt; (q.v.).  A collection is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rDKZQEKVnQdmACrINeAfsGw&quot; class=&quot;cyc_term&quot;&gt;EmptyCollection&lt;/a&gt; if and only if it has no instances.  
&lt;p/&gt;
Some collections are by their very nature necessarily empty; e.g. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv7LKYpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Nothing&lt;/a&gt; (q.v.).  Conversely, some collections are empty in some contexts and non-empty in others; e.g. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvhn_I5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Unicorn&lt;/a&gt; might be empty in the context of the actual world but non-empty in certain mythological contexts.  Similarly, a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIE23ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TimeDependentCollection&lt;/a&gt; might be empty at certain times and non-empty at certain other times; e.g. the collection of female US presidents is currently empty but will hopefully become non-empty some time in the near future.  This last example demonstrates that &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rDKZQEKVnQdmACrINeAfsGw&quot; class=&quot;cyc_term&quot;&gt;EmptyCollection&lt;/a&gt; is itself a time-dependent collection.
&lt;p/&gt;
Note that each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rDKZQEKVnQdmACrINeAfsGw&quot; class=&quot;cyc_term&quot;&gt;EmptyCollection&lt;/a&gt; is &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA45wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;disjointWith&lt;/a&gt; (q.v.) every collection -- including itself.
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r_3mf2qedQdmNjeDW39lDKA&quot; class=&quot;cyc_term&quot;&gt;NonEmptyCollection&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">EmptyCollection</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rkBjx4Dg4EdaAAACgye4oEQ">
    <rdfs:comment xml:lang="en">A collection of collections. Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rkBjx4Dg4EdaAAACgye4oEQ&quot; class=&quot;cyc_term&quot;&gt;CollectionWithAnEventLikeOrder&lt;/a&gt; is a collection whose instances are conventionally regarded as being ordered by some relation &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt;, where &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt; orders the members of &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; in the manner in which events are ordered in linear time.
&lt;p/&gt;
More precisely, a collection is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rkBjx4Dg4EdaAAACgye4oEQ&quot; class=&quot;cyc_term&quot;&gt;CollectionWithAnEventLikeOrder&lt;/a&gt; just in case its instances are conventially regarded as being ordered by a relation &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt; such that the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvztTgpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalOrdering&lt;/a&gt; whose &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvlGiF5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;baseSet&lt;/a&gt; is &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt;, and whose &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwEFqoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orderingRelation&lt;/a&gt; is &lt;code&gt;&lt;b&gt;RELN&lt;/b&gt;&lt;/code&gt;, is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHgPKvG6XQdeNVbS28NXHtw&quot; class=&quot;cyc_term&quot;&gt;EventLikeOrdering&lt;/a&gt; (q.v.).
&lt;p/&gt;
For example, the instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Distance&lt;/a&gt; are conventionally regarded as being ordered by the relation &lt;i&gt;&lt;b&gt;greater than&lt;/b&gt;&lt;/i&gt;, and this ordering is event-like.  So &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Distance&lt;/a&gt; is a collection with an event-like order.</rdfs:comment>
    <rdfs:label xml:lang="en">collection with an event-like order</rdfs:label>
    <cycAnnot:label xml:lang="en">CollectionWithAnEventLikeOrder</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4r9YAgPExSEd2AAAACs6hRXg">
    <cycAnnot:label xml:lang="en">ERSystemParameterValue</cycAnnot:label>
    <rdfs:comment xml:lang="en">The collection of values of parameters of the ER systems.</rdfs:comment>
    <rdfs:label xml:lang="en">parameter value</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4r6-GNDEkIQdeTPvxS8JnCLA">
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt; (q.v.); the collection of all things with no spatial extent or location, either in some embedding space or relative to some &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjpUZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpatialThing&lt;/a&gt; (q.v.).  Examples include numbers, sets, collections, novels, languages, and time intervals (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvxwC-ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Number_General&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjl_ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SetOrCollection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJb5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Novel_CW&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjzepwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;NaturalLanguage&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAw5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TimeInterval&lt;/a&gt;).  Note that although anything aspatial is intangible, the converse is not true.  Geographical borders, latitude lines, and the trajectories of particles, for instance, are intangible (i.e. not composed of or encoded in matter), but &lt;i&gt;not&lt;/i&gt; aspatial, as they have spatial location and extent.  See also the specialization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">AspatialThing</cycAnnot:label>
    <rdfs:label xml:lang="en">non-spatial thing</rdfs:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4roVp5xlzKEdiLrQAH6RYvVA">
    <rdfs:comment xml:lang="en">The collection &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4roVp5xlzKEdiLrQAH6RYvVA&quot; class=&quot;cyc_term&quot;&gt;NonAbducibleThing&lt;/a&gt; is a sub-collection of 
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.  Abductive inferences sometimes involve hypothesizing the 
existence of entities as part of the explanation of some assertion or set 
of assertions. Cyc will not hypothesize the existence of instances of 
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4roVp5xlzKEdiLrQAH6RYvVA&quot; class=&quot;cyc_term&quot;&gt;NonAbducibleThing&lt;/a&gt;.  Roughly, abductive inferences consume conceptual / 
theoretical knowledge rather than produce it.  So, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHQdVmB_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;SecondOrderCollection&lt;/a&gt; 
is a sub-collection of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4roVp5xlzKEdiLrQAH6RYvVA&quot; class=&quot;cyc_term&quot;&gt;NonAbducibleThing&lt;/a&gt; because Cyc should be employing 
existing knowledge of instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rHQdVmB_TEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;SecondOrderCollection&lt;/a&gt; rather than 
hypothesizing new instances.</rdfs:comment>
    <rdfs:label xml:lang="en">non abducible thing</rdfs:label>
    <cycAnnot:label xml:lang="en">NonAbducibleThing</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rwIN_i5wpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">The collection of regions/areas, tangible or otherwise, which are
typically conceptualized by human beings for purposes of common-sense
reasoning as spatial regions. This collection thus includes tangible
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViACZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalRegion&lt;/a&gt;s such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVj07JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Ireland_TheIsland&lt;/a&gt;, as well as metaphoric
regions such as &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi3N5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FieldOfStudy&lt;/a&gt;. Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIN_i5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Region_Underspecified&lt;/a&gt;
differ from non-regional &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvhT1EZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Location_Underspecified&lt;/a&gt; in that they
possess some underspecified correlate of the notion of &apos;area&apos; and
&apos;spatial extent&apos;. A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvhT1EZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Location_Underspecified&lt;/a&gt; may be a point in some
abstract, metaphorical or physical space, whereas instances of 
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIN_i5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Region_Underspecified&lt;/a&gt; can be conceptualized as possessing area in
such a space.</rdfs:comment>
    <rdfs:label xml:lang="en">area</rdfs:label>
    <cycAnnot:label xml:lang="en">Region-Underspecified</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <Mx4rNs-F0CChEdaAAABQ2rksLw rdf:about="Mx4rvVjjH5wpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">mathematical or computational object</rdfs:label>
    <rdfs:comment xml:lang="en">The collection of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt; things that are intrinsically mathematical (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjltpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalThing&lt;/a&gt;) or computational (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAO5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;ComputationalObject&lt;/a&gt;).  Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjH5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalOrComputationalThing&lt;/a&gt; are abstract in the very strong sense of being nonspatial, atemporal, and massless.  Examples include numbers, sets, collections, relations, algorithms, and abstract character strings.</rdfs:comment>
    <cycAnnot:label xml:lang="en">MathematicalOrComputationalThing</cycAnnot:label>
  </Mx4rNs-F0CChEdaAAABQ2rksLw>

  <owl:ObjectProperty rdf:about="Mx4rwLSVCpwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">Pretty String</rdfs:label>
    <rdfs:comment xml:lang="en">(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;prettyString&lt;/a&gt; TERM STRING) means that STRING is the English word or expression (sequence of words) commonly used to refer to TERM.  The predicate &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;prettyString&lt;/a&gt; is used by the code which generates CycL to English paraphrases, but its applicability is not restricted to this use.</rdfs:comment>
    <cycAnnot:label xml:lang="en">prettyString</cycAnnot:label>
  </owl:ObjectProperty>

  <owl:Class rdf:about="&cyc;Mx4rNs-F0CChEdaAAABQ2rksLw">
    <cycAnnot:label xml:lang="en">VariedOrderCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; and the collection of all and only those &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;s some of whose instances (or instances of instances, or instances of instances of instances, etc.) are of different &amp;quot;orders&amp;quot;, where order is understood as follows.  Let &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s be &amp;quot;zeroth-order&amp;quot; things, collections of (only) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s &amp;quot;first-order&amp;quot;, ..., and collections of (only) Nth-order things &amp;quot;(N+1)th-order&amp;quot;.  A more precise, recursive definition, then, is: a collection COL is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; if and only if COL has instances INST1 and INST2 such that either (i) INST1 and INST2 are of two different fixed orders N1 and N2, (ii) INST1 is of the fixed order N1 and INST2 is a varied-order collection, or (iii) INST1 and INST2 are both varied-order collections.
&lt;p/&gt;
For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt; is a varied-order collection since it contains both (zeroth-order) abstract individuals and (higher-order) collections.  Other instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.  Note that (by clauses ii and iii) any generalization of a varied-order collection is varied-order; and (by clause iii) any (non-empty) specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; is varied-order.
&lt;p/&gt;
Note that &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; (q.v.) and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; do _not_ constitute a partition of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;: since the notion of order described above is not applicable to sets, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; (e.g.) and its specializations are neither fixed-order nor varied-order collections.</rdfs:comment>
    <rdfs:label xml:lang="en">variable-order Cyc collection</rdfs:label>
  </owl:Class>

  <owl:Class rdf:about="&ocyc;Mx4rNs-F0CChEdaAAABQ2rksLw">
    <cycAnnot:label xml:lang="en">VariedOrderCollection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt; and the collection of all and only those &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;s some of whose instances (or instances of instances, or instances of instances of instances, etc.) are of different &amp;quot;orders&amp;quot;, where order is understood as follows.  Let &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s be &amp;quot;zeroth-order&amp;quot; things, collections of (only) &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Individual&lt;/a&gt;s &amp;quot;first-order&amp;quot;, ..., and collections of (only) Nth-order things &amp;quot;(N+1)th-order&amp;quot;.  A more precise, recursive definition, then, is: a collection COL is an instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; if and only if COL has instances INST1 and INST2 such that either (i) INST1 and INST2 are of two different fixed orders N1 and N2, (ii) INST1 is of the fixed order N1 and INST2 is a varied-order collection, or (iii) INST1 and INST2 are both varied-order collections.
&lt;p/&gt;
For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rpJ-nSEkJQdeC8NLkYPDBBw&quot; class=&quot;cyc_term&quot;&gt;AbstractThing&lt;/a&gt; is a varied-order collection since it contains both (zeroth-order) abstract individuals and (higher-order) collections.  Other instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjjo5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Intangible&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvtppU5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CollectionType&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;.  Note that (by clauses ii and iii) any generalization of a varied-order collection is varied-order; and (by clause iii) any (non-empty) specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; is varied-order.
&lt;p/&gt;
Note that &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNooX_CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;FixedOrderCollection&lt;/a&gt; (q.v.) and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rNs-F0CChEdaAAABQ2rksLw&quot; class=&quot;cyc_term&quot;&gt;VariedOrderCollection&lt;/a&gt; do _not_ constitute a partition of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAzJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Collection&lt;/a&gt;: since the notion of order described above is not applicable to sets, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvl2en5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Set_Mathematical&lt;/a&gt; (e.g.) and its specializations are neither fixed-order nor varied-order collections.</rdfs:comment>
    <rdfs:label xml:lang="en">variable-order Cyc collection</rdfs:label>
  </owl:Class>

</rdf:RDF>
