]> 2009/04/07 OpenCyc Knowledge Base Copyright© 2001-2009 Cycorp, Inc., http://www.cyc.com/, Austin, TX, USA This file contains an OWL representation of information contained in the OpenCyc Knowledge Base. The content of this OWL file is licensed under the Creative Commons Attribution 3.0 license whose text can be found at http://creativecommons.org/licenses/by/3.0/legalcode. The content of this OWL file, including the OpenCyc content it represents, constitutes the "Work" referred to in the Creative Commons license. The terms of this license equally apply to, without limitation, renamings and other logically equivalent reformulations of the content of this OWL file (or portions thereof) in any natural or formal language, as well as to derivations of this content or inclusion of it in other ontologies. Mappings between OpenCyc terms and Wikipedia article names provided by Olena Medelyan and Catherine Legg, University of Waikato, NZ under a Creative Commons Attribution 3.0 license. externalID A unique, language-neutral, variable-sized identifier for a concept that can be used to refer unambiguously to that concept across OWL exports or across Cyc inference engines. label A natural-language representation for a concept that is both human readable and readable by the Cyc inference engine. These terms are not guaranteed to refer to the same concept across time but are guaranteed to be consistent within a particular OWL export. Use 'cycAnnot:externalID' for unambiguously referring to a concept across OWL exports or across Cyc inference engines. Scientist engaged in the study, development and understanding of Mathematics and its applications mathematician Mathematician mathematicians

Mathematician

http://en.wikipedia.org/wiki/Mathematician http://www.w3.org/2006/03/wn/wn20/instances/synset-mathematician-noun-1 Albert Skolem AlbertThoralfSkolem <a href="http://sw.opencyc.org/concept/Mx4rv4kaJ5wpEbGdrcN5Y29ycA" class="cyc_term">GottlobFrege</a> was one of the founders of modern symbolic logic. Gottlob Frege GottlobFrege Norbert Wiener NorbertWiener-Mathematician An instance of <a href="http://sw.opencyc.org/concept/Mx4rvVkB15wpEbGdrcN5Y29ycA" class="cyc_term">Mathematician</a>. United States mathematician and founder of cybernetics (1894-1964). Alan Turing AlanTuring George Boole GeorgeBoole AndreyMarkov Andrey Markov Georg Cantor <a href="http://sw.opencyc.org/concept/Mx4rwRYU2ZwpEbGdrcN5Y29ycA" class="cyc_term">GeorgCantor</a> was a Russian-born German <a href="http://sw.opencyc.org/concept/Mx4rvVkB15wpEbGdrcN5Y29ycA" class="cyc_term">Mathematician</a> who developed the first clear and comprehensive account of transfinite sets and numbers. GeorgCantor AlfredTarski Alfred Tarski is, with <a href="http://sw.opencyc.org/concept/Mx4rvarT5ZwpEbGdrcN5Y29ycA" class="cyc_term">KurtGodel</a>, one of the founders of contemporary logic. His papers on the theory of truth and logical consequence, as well as his studies on axiomatic geometry, are commonly identified as the starting point of formal semantics and model theory. Born Alfred Teitelbaum in Russian-occupied Poland, he converted to Catholicism and changed his name to Tarski, apparently in an outburst of Polish nationalism following the Russian retreat in #$WorldWarI. Whatever the motive, the conversion did little to mollify the numerous anti-semites in Polish academia: Tarski wrote his seminal papers while teaching mathematics in high school. He later moved to the United States and had a distinguished career at the University of California, where his students included Solomon Feferman and Richard Montague. Alfred Tarski ReverendThomasBayes Reverend Thomas Bayes Ernst Zermelo ErnstZermelo Gottfried Wilhelm Leibniz GottfriedWilhelmLeibniz Scientist scientist An instance of <a href="http://sw.opencyc.org/concept/Mx4rvVii2ZwpEbGdrcN5Y29ycA" class="cyc_term">PersonTypeByOccupation</a>, and a specialization of <a href="http://sw.opencyc.org/concept/Mx4rvVjnN5wpEbGdrcN5Y29ycA" class="cyc_term">PersonWithOccupation</a>. Each instance of <a href="http://sw.opencyc.org/concept/Mx4rvVj755wpEbGdrcN5Y29ycA" class="cyc_term">Scientist</a> is a person who is educated and employed in one (or more) of the natural, social, or abstract sciences. Specializations of <a href="http://sw.opencyc.org/concept/Mx4rvVj755wpEbGdrcN5Y29ycA" class="cyc_term">Scientist</a> include the collections <a href="http://sw.opencyc.org/concept/Mx4rvVj_A5wpEbGdrcN5Y29ycA" class="cyc_term">Astronomer</a>, <a href="http://sw.opencyc.org/concept/Mx4rvVjKrpwpEbGdrcN5Y29ycA" class="cyc_term">Chemist</a>, <a href="http://sw.opencyc.org/concept/Mx4rvVirtpwpEbGdrcN5Y29ycA" class="cyc_term">Linguist</a>, <a href="http://sw.opencyc.org/concept/Mx4rvVkB15wpEbGdrcN5Y29ycA" class="cyc_term">Mathematician</a>, <a href="http://sw.opencyc.org/concept/Mx4rvVj_RZwpEbGdrcN5Y29ycA" class="cyc_term">Geneticist</a>, and <a href="http://sw.opencyc.org/concept/Mx4rvVkBlZwpEbGdrcN5Y29ycA" class="cyc_term">CulturalAnthropologist</a>. Wikipedia Article URL (<a href="http://sw.opencyc.org/concept/Mx4rNv0nbm4TTjOp7yhmnzOyqg" class="cyc_term">wikipediaArticleURL</a> THING URL) means that in <a href="http://sw.opencyc.org/concept/Mx4rtqXA6OC8QdiWC72DuLJdUw" class="cyc_term">Wikipedia_WebSite</a> THING is described by an article located at URL wikipediaArticleURL seeAlsoURI <code>(<a href="http://sw.opencyc.org/concept/Mx4riWVFR6HJSpaEaHrcWS3MSA" class="cyc_term">seeAlsoURI</a> THING URI)</code> means that a description of the resource identified by URI is likely to contain information pertinent to THING. This predicate is roughly equivalent to rdfs:seeAlso. See Also URI extracted by noun learner from motley fool UK corpus ExtractedByNounLearnerFromMotleyFoolUKCorpus Scientist engaged in the study, development and understanding of Mathematics and its applications Mathematician mathematician Scientist engaged in the study, development and understanding of Mathematics and its applications Mathematician mathematician Pretty String (<a href="http://sw.opencyc.org/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA" class="cyc_term">prettyString</a> TERM STRING) means that STRING is the English word or expression (sequence of words) commonly used to refer to TERM. The predicate <a href="http://sw.opencyc.org/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA" class="cyc_term">prettyString</a> is used by the code which generates CycL to English paraphrases, but its applicability is not restricted to this use. prettyString Scientist engaged in the study, development and understanding of Mathematics and its applications Mathematician mathematician scientist type by field A collection of collections. Each instance is a spec of <a href="http://sw.opencyc.org/concept/Mx4rvVj755wpEbGdrcN5Y29ycA" class="cyc_term">Scientist</a> whose instances are all of the same field. ScientistTypeByField PersonWithOccupation The collection of persons who have a (skilled or unskilled) occupation. Most (but not all) instances of <a href="http://sw.opencyc.org/concept/Mx4rvVjnN5wpEbGdrcN5Y29ycA" class="cyc_term">PersonWithOccupation</a> spend a significant part of their waking hours doing activities that are characteristic of their occupations. Typically their actions are performed for pay (but not always: consider a "starving artist" who is unable to sell any of her works). Note that a <a href="http://sw.opencyc.org/concept/Mx4rvVjnN5wpEbGdrcN5Y29ycA" class="cyc_term">PersonWithOccupation</a> need not be working over the entire duration of when s/he has an occupation; e.g. college professors on summer break and the temporarily unemployed still have occupations. Most reified specializations of <a href="http://sw.opencyc.org/concept/Mx4rvVjnN5wpEbGdrcN5Y29ycA" class="cyc_term">PersonWithOccupation</a> classify workers according to their job titles, the kinds of work they perform, or the skills involved; while a few exploit other (usually quite broad) features of their working lives (e.g. <a href="http://sw.opencyc.org/concept/Mx4rvVkALJwpEbGdrcN5Y29ycA" class="cyc_term">SelfEmployedWorker</a> and <a href="http://sw.opencyc.org/concept/Mx4rvVirGJwpEbGdrcN5Y29ycA" class="cyc_term">DeskWorker</a>). But note that many collections corresponding to what are colloquially considered professions or occupations (e.g. <a href="http://sw.opencyc.org/concept/Mx4rvVkBGJwpEbGdrcN5Y29ycA" class="cyc_term">Lifeguard</a>, #$StockBroker, <a href="http://sw.opencyc.org/concept/Mx4rvViUT5wpEbGdrcN5Y29ycA" class="cyc_term">Housekeeper</a>, and many others) are _not_ specializations of <a href="http://sw.opencyc.org/concept/Mx4rvVjnN5wpEbGdrcN5Y29ycA" class="cyc_term">PersonWithOccupation</a>, as those collections include people for whom the work in question is not their occupation. worker quotedIsa A binary <a href="http://sw.opencyc.org/concept/Mx4rDeDIGEW0EdaAAACgydogAg" class="cyc_term">MetaLanguagePredicate</a> (q.v.) that relates CycL expressions to the <a href="http://sw.opencyc.org/concept/Mx4raOoTci9qEdma4AACs1uxFw" class="cyc_term">SubLExpressionType</a>s (q.v.) of which they are instances. <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> is thus like a restricted version of <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> (q.v.), but with one important difference: the first argument-place of <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> is "implicitly quoted" (see <a href="http://sw.opencyc.org/concept/Mx4rwHb_bZwpEbGdrcN5Y29ycA" class="cyc_term">quotedArgument</a>). So a ground atomic sentence of the form <code>(<a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> THING EXPR-TYPE)</code> does not mean that <code>THING</code> itself is an instance of <code>EXPR-TYPE</code>. Rather, such a sentence is partly self-referential, and means that the particular CycL expression appearing in the sentence's own first argument-position is an instance of <code>EXPR-TYPE</code>. Thus, <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> provides a convenient shorthand for stating certain things that would otherwise require explicit quotation (or some other device for naming expressions). This is better illustrated with a specific example. Suppose we wish to state that the CycL constant <code><a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a></code> is an instance of the CycL expression type #$PublicConstant. We cannot express this with the straightforward <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> sentence <code>(<a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a> #$PublicConstant)</code>, as that states the falsehood that the IndianOcean itself -- which is not a constant but a body of water -- is a public constant. But we can express precisely what we want like this: <pre> (<a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a> #$PublicConstant) . </pre> Now <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> is a <a href="http://sw.opencyc.org/concept/Mx4rv4oJWZwpEbGdrcN5Y29ycA" class="cyc_term">MacroRelation</a> (q.v.), and by its <a href="http://sw.opencyc.org/concept/Mx4rvVjg7JwpEbGdrcN5Y29ycA" class="cyc_term">expansion</a> any given <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> sentence is equivalent to some <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> sentence with an explicitly quoted first argument. The sentence displayed above turns out to be equivalent to: <pre> (<a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> (<a href="http://sw.opencyc.org/concept/Mx4rgGBbEkNuEdaAAACgydogAg" class="cyc_term">Quote</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a>) #$PublicConstant). </pre> But the <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> version has two related practical advantages over the <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> version. First, the former is syntactically simpler than the latter. Second, the simpler syntax of the former makes it easier to browse in the Knowedge Base: while the <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> version is conveniently indexed under the KB Browser page for the constant <code><a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a></code>, the <a href="http://sw.opencyc.org/concept/Mx4rvViBBJwpEbGdrcN5Y29ycA" class="cyc_term">isa</a> version would apparently be indexed under a separate, brand new page for the term <code>(<a href="http://sw.opencyc.org/concept/Mx4rgGBbEkNuEdaAAACgydogAg" class="cyc_term">Quote</a> <a href="http://sw.opencyc.org/concept/Mx4rvViH35wpEbGdrcN5Y29ycA" class="cyc_term">IndianOcean</a>)</code>. Generalizing the point, <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a> lets us avoid having potentially to double the number of pages currently in the browser. For the semantically more complicated (but rarely encountered) case in which <a href="http://sw.opencyc.org/concept/Mx4rBVVEokNxEdaAAACgydogAg" class="cyc_term">quotedIsa</a>'s first argument-place is filled with an open expression, see the accompanying #$cyclistNotes. Quoted Isa wikipediaArticleName (<a href="http://sw.opencyc.org/concept/Mx4rTv-jk9SPTXa991kk5mAvHg" class="cyc_term">wikipediaArticleName</a> THING NAME) means that in <a href="http://sw.opencyc.org/concept/Mx4rtqXA6OC8QdiWC72DuLJdUw" class="cyc_term">Wikipedia_WebSite</a> THING is described by an article with the title NAME Wikipedia Article Name