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AN00150430-00000072-0001.pdf
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Title |
Title |
様相の証明可能性解釈
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Kana |
ヨウソウ ノ ショウメイ カノウセイ カイシャク
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Romanization |
Yoso no shomei kanosei kaishaku
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Title |
Provability interpretation of modality
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Creator |
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西脇, 与作
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Kana |
ニシワキ, ヨサク
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Romanization |
Nishiwaki, Yosaku
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Affiliation |
慶応義塾大学文学部
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三田哲學會
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Kana |
ミタ テツガクカイ
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Romanization |
Mita tetsugakukai
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Issued (from:yyyy) |
1981
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哲學
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72
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Year |
1981
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1
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Start page |
1
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End page |
26
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Abstract |
Recently Solovay proved the completeness theorem for G, according to which a modal sentence is a theorem of G if all of its translations are theorems of Peano Arithmetic. From this theorem, many interesting results were obtained and the relations between modality and provability have been gradually clarified. I will prove the completeness theorem for K4 and some topological properties of K4, where topolgy of K4 models (A (W, R)) is defined by derived set a la Simmons or co-derived set. And then I will consider some of the meta-mathematical structures of the predicate 'Bew'.
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Table of contents |
1. 序
2. K4, S4とSuitable Theory
3. Bew, □, と位相
4. 位相的諸性質
5. K4, Gと他の様相系の関係
6. 結論
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History |
Dec 25, 2013 | | フリーキーワード, 目次, 著者 を変更 |
Oct 12, 2021 | | Creator Link を変更 |
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