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A system of pair sentential calculus that has a representation of the Liar sentence
https://nuis.repo.nii.ac.jp/records/2637
https://nuis.repo.nii.ac.jp/records/263704414eef-feb2-45d0-a4fb-f74405d6cb27
名前 / ファイル | ライセンス | アクション |
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kiyo_2015.01.03.pdf (200.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-04-14 | |||||
タイトル | ||||||
タイトル | A system of pair sentential calculus that has a representation of the Liar sentence | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | A system of pair sentential calculus that has a representation of the Liar sentence | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | SCI | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | pair-sentence | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Liar paradox | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | four-valued logic | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | paraconsistent logic | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | SCI | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | pair-sentence | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Liar paradox | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | four-valued logic | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | paraconsistent logic | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Ishii, Tadao
× Ishii, Tadao× Ishii, Tadao |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper we will introduce a referential relation between pair-sentences similar to the identity connective in SCI. Here pair-sentence statements of the form (A,B) read as “A is referential to B”. Then by interpreting the pair-sentence (A,B) as a sequence of referential relation such that the referential recursive pattern A B0 B1 B2 . . .B0 B1 B2 . . .holds, we will formalize a pair sentential calculus and represent the behavior of Liar sentence.To formalize the pair sentential calculus, we firstly introduce the stage numbers i, j in which each of pair-sentence holds, i.e., (Ai,Bj) and which means a situation of A at a stage i is referential to the situation of B at a stage j. We also introduce a referential cycle number of (Ai,Bj) and by using of this cycle number, we may classify pair-sentences into two categories, that is, categorical and paradoxical. Then each Liar sentence has a referential cycle number of n such that n 2 and is paradoxical. | |||||
書誌情報 |
新潟国際情報大学情報文化学部紀要 巻 1, p. 1-10, 発行日 2015-04-01 |
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出版者 | ||||||
出版者 | 新潟国際情報大学情報文化学部 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1343-490X | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11231962 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |