From Frege to Gödel pdf epub mobi txt 電子書 下載 2024


From Frege to Gödel

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Jean Van Heijenoort
Harvard University Press
2002
664
USD 33.00
Paperback
9780674324497

圖書標籤: Logic  philosophy  邏輯學  哲學  《數理邏輯》邢滔滔  theory_of_types  science  paradoxes   


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发表于2024-12-24

From Frege to Gödel epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

From Frege to Gödel epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

From Frege to Gödel pdf epub mobi txt 電子書 下載 2024



圖書描述

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. </p>

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 he and 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. </p>

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. </p>

From Frege to Gödel 下載 mobi epub pdf txt 電子書

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From Frege to Gödel pdf epub mobi txt 電子書 下載
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畢業論文原始文獻 主要是幫助瞭解相關背景的 讀完希爾伯特的

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畢業論文原始文獻 主要是幫助瞭解相關背景的 讀完希爾伯特的

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Godel這傢夥特有意思

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1879~1931.

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畢業論文原始文獻 主要是幫助瞭解相關背景的 讀完希爾伯特的

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