Mendeley出力
＜図書＞
From Frege to Gödel : a source book in mathematical logic, 1879-1931
| 責任表示 | [edited by] Jean van Heijenoort |
|---|---|
| シリーズ | Source books in the history of the sciences |
| データ種別 | 図書 |
| 出版者 | Cambridge : Harvard University Press |
| 出版年 | 1967 |
| 本文言語 | 英語 |
| 大きさ | x, 660 p. : port. ; 26 cm |
| 概要 | The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded ...y Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege's Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory. Frege's book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim's theorem, and heand Fraenkel amend Zermelo's axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter's famous incompleteness paper. Of the forty-five contributions here collected all but five are presented in extenso. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included. The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege's Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory. Frege's book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim's theorem, and heand Fraenkel amend Zermelo's axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter's famous incompleteness paper. Of the forty-five contributions here collected all but five are presented in extenso. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included. 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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【故障中】理系図 自動書庫 | A/Van | 1967 |
|
026232003086100 |
|
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| : cloth | 中央図 2C_1‐14 [文/哲学] | 哲学/402/700 | 1967 |
|
005232003112671 |
|
||||
| : cloth | 理系図3F 数理独自 | HEIJ/10/1 | 1967 |
|
068222480039772 |
|
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| : cloth | 【故障中】理系図 自動書庫 | 410.1/H 51/1 | 1967 |
|
058211981270326 |
|
||||
| : cloth | 芸工図 2F 書架 | 410.1/H51 | 1967 |
|
072032169000660 |
|
書誌詳細
| 一般注記 | Bibliography: p. [629]-655 |
|---|---|
| 著者標目 | Van Heijenoort, Jean, 1912- |
| 件 名 | LCSH:Logic, Symbolic and mathematical -- Addresses, essays, lectures
全ての件名で検索
LCSH:Mathematics -- Philosophy -- Addresses, essays, lectures 全ての件名で検索 |
| 分 類 | LCC:QA9 DC:510/.01 |
| 書誌ID | 1000940031 |
| ISBN | 0674324498 |
| NCID | BA03870498 |
| 巻冊次 | : pbk ; ISBN:0674324498 : cloth ; ISBN:0674324501 |
| 登録日 | 2009.09.16 |
| 更新日 | 2009.11.02 |