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dc.contributor.author | 矢田部, 俊介 | ja |
dc.contributor.alternative | YATABE, Shunsuke | en |
dc.contributor.transcription | ヤタベ, シュンスケ | ja-Kana |
dc.date.accessioned | 2012-03-09T04:53:11Z | - |
dc.date.available | 2012-03-09T04:53:11Z | - |
dc.date.issued | 2012-02-28 | - |
dc.identifier.issn | 1883-9177 | - |
dc.identifier.uri | http://hdl.handle.net/2433/153499 | - |
dc.description.abstract | In his 2003 paper, Peacocke insisted that our implicit conception of natural numbers essentially uses a primitive recursion which consists of three clauses, and claimed that this excludes the non-standard models of natural numbers. In this article, we construct a counter “model” to his argument, which contains a non-standard natural number though the set ω of natural numbers is defined as an analogy to his primitive recursion, in a set theory with the comprehension principle within many-valued logic. This result suggests that we should interpret non-standard natural numbers from a philosophical viewpoint. We discuss this by reviewing Strict Finitism, and we conclude that non-standard natural numbers can be interpreted as “large numbers” in a Strict Finitist sense: It expresses new numbers which are introduced by expanding the notation system of natural numbers. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | jpn | - |
dc.publisher | 京都大学文学部科学哲学科学史研究室 | ja |
dc.publisher.alternative | Department of Philosophy and History of Science Faculty of Letters, Kyoto University | en |
dc.subject.ndc | 401 | - |
dc.title | <一般論文> 大きな数としての超準数 : 超準数と厳格有限主義 | ja |
dc.title.alternative | <Regular Articles> Non-standard natural numbers as large numbers : Non-standard numbers and strict finitism | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AA12164361 | - |
dc.identifier.jtitle | 科学哲学科学史研究 | ja |
dc.identifier.volume | 6 | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 15 | - |
dc.textversion | publisher | - |
dc.sortkey | 01 | - |
dc.identifier.selfDOI | 10.14989/153499 | - |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 1883-9177 | - |
dc.identifier.jtitle-alternative | PHS Studies | en |
出現コレクション: | 第6号 |
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