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ファイル | 記述 | サイズ | フォーマット | |
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jps_44_12_607.pdf | 682.36 kB | Adobe PDF | 見る/開く |
タイトル: | 論理学とはなにか (完) |
その他のタイトル: | What is logic? |
著者: | 山下, 正男 |
著者名の別形: | Yamashita, Masao |
発行日: | 28-Feb-1971 |
出版者: | 京都哲學會 (京都大學文學部内) |
誌名: | 哲學研究 |
巻: | 44 |
号: | 12 |
開始ページ: | 607 |
終了ページ: | 622 |
抄録: | A partially ordered set is represented by a Hasse's diagram. A lattice, a kind of a partially ordered set is represented by it too. In this paper, (1) classical propositional logic, modal logic, many-valued logic, and quantification logic is represented by a Hasse's diagram as a complemented distributive lattice (a Boolean lattice), (2) intuitionistic logic is represented by it as a pseudo-complemented distributive lattice with a minimum, and (3) Minimal-Logik is represented by it as a pseudo-complemented distributive lattice without a minimum. The logic of classes, Plato's diairesis, Kant's analytic judgement, the theory of classification, Aristotle's syllogistic, Leibniz's logical calculus, analysis and synthesis in the Port-Royal logic, Lull's ars combinatoria, Leibniz's combinatory art, Plato's theory of "analogia", the theory of Polarity, the theory of I'Ching, Piaget's group are represented as a Boolean lattice or a truncated part of it. At last the mystical logic is discussed. |
DOI: | 10.14989/JPS_44_12_607 |
URI: | http://hdl.handle.net/2433/273439 |
出現コレクション: | 第44卷第12册 (第518號) |
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