Mendeley出力
＜図書＞
Proofs and refutations : the logic of mathematical discovery
| 責任表示 | Imre Lakatos ; edited by John Worrall and Elie Zahar |
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| データ種別 | 図書 |
| 出版情報 | Cambridge : Cambridge University Press , 1976 |
| 本文言語 | 英語 |
| 大きさ | xii, 174 p. : ill. ; 22 cm |
| 概要 | Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teache... and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations. Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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: pbk. | 中央図 2A | 116.3/L 14/1 | 1976 |
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058211981054141 |
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: hard | 理系図3F 数理独自 | LAKA/10/2 | 1976 |
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068222480039974 |
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書誌詳細
| 一般注記 | Bibliography: p. 155-165 Includes indexes |
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| 著者標目 | *Lakatos, Imre, 1927-1974 Worrall, John Zahar, Elie |
| 件 名 | LCSH:Mathematics -- Philosophy
全ての件名で検索
LCSH:Logic, Symbolic and mathematical |
| 分 類 | LCC:QA8.4 DC:511/.3 |
| 書誌ID | 1000485071 |
| ISBN | 052121078X |
| NCID | BA04332797 |
| 巻冊次 | : hard ; ISBN:052121078X ; PRICE:£5.50 ($16.50 U.S.) : pbk ; ISBN:0521290384 ; PRICE:£1.95 ($6.00 U.S.) |
| 登録日 | 2009.09.14 |
| 更新日 | 2009.11.02 |