哥德尔文集 Kurt Godel Collected Works Kurt Godel 影印版[DJVU]

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资源信息： 中文名: 哥德尔文集 原名: Kurt Godel Collected Works 别名: Collected Works 作者: Kurt Godel 译者: S. Feferman 资源格式: DJVU 版本: 影印版 出版社: Oxford University Press 书号: ISBN-13 / EAN: 9780195039641 ISBN-13 / EAN: 9780195039726 ISBN-13 / EAN: 9780195072556 发行时间: 1995年 地区: 美国 语言: 英文 概述:

内容简介: 　　库尔特·哥德尔（Kurt Godel）（1906年4月28日—1978年1月14日）是位数学家、逻辑学家和哲学家。其最杰出的贡献是哥德尔不完全性定理和连续统假设的相对协调性证明。 　　生于捷克的布尔诺，卒于美国普林斯顿。早年在维也纳大学攻读修读理论物理、基础数学，后来又转研数理逻辑、集合论。但1940年代中就将注意力投放在哲学上，并参加哲学小组活动。1930年获博士学位。其博士论文证明了「狭谓词演算的有效公式皆可证」。之后在维也纳大学工作。1938年到美国普林斯顿高等研究院任职，1948年加入美国籍。1953年成为该所教授。哥德尔发展了冯·诺伊曼和伯奈斯等人的工作，其主要贡献在逻辑学和数学基础方面。在20世纪初，他证明了形式数论（即算术逻辑）系统的「不完全性定理」：即使把初等数论形式化之后，在这个形式的演绎系统中也总可以找出一个合理的命题来，在该系统中既无法证明它为真，也无法证明它为假。这一著名结果发表在1931年的论文中。他还致力于连续统假设的研究，在1930年采用一种不同的方法得到了选择公理的相容性证明。3年以后又证明了（广义）连续统假设的相容性定理，并于1940年发表。他的工作对公理集合论有重要影响，而且直接导致了集合和序数上的递归论的产生。此外，哥德尔还从事哲学问题的研究。他热衷于用数理逻辑的方法来分析哲学问题，认为健全的哲学思想和成功的科学研究密切相关。他在1967年致中国数学家王浩的信中，自称为「客观主义」，并说他的客观主义观点对于他的逻辑研究来说是根本的。1951年获爱因斯坦勋章。哥德尔一生发表论著不多。他发表于 1931年的论文《〈数学原理〉（指怀德海和罗素所著的书）及有关系统中的形式不可判定命题》是20世纪在逻辑学和数学基础方面最重要的文献之一。 内容截图:

目录: Collected Works: Volume I: Publications 1929-1936 (Godel, Kurt//Collected Works) By Kurt Godel •Publisher: Oxford University Press, USA •Number Of Pages: 490 •Publication Date: 1986-01-23 •ISBN-10 / ASIN: 0195039645 •ISBN-13 / EAN: 9780195039641 •Binding: Hardcover Product Description: Kurt Godel (1906-1978) was the most outstanding logician of the twentieth century, noted for Godel's theorem, a hallmark of modern mathematics. The Collected Works will include both published and unpublished writings, in three or more volumes. The first two volumes will consist essentially of Godel's published works (both in the original and translation), and the third volume will feature unpublished articles, lectures, and selections from his lecture courses, correspondence, and scientific notebooks. All volumes will contain extensive introductory notes to the work as a whole and to individual articles and other material, commenting upon their contents and placing them within a historical framework. This long-awaited project is of great significance to logicians, mathematicians, philosophers and historians. Collected Works: Volume II: Publications 1938-1974 (Godel, Kurt//Collected Works) By Kurt Godel •Publisher: Oxford University Press, USA •Number Of Pages: 432 •Publication Date: 1989-11-30 •ISBN-10 / ASIN: 0195039726 •ISBN-13 / EAN: 9780195039726 •Binding: Hardcover Product Description: Kurt Godel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past. This second volume of a comprehensive edition of Godel's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks. Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century. Collected Works: Volume III: Unpublished essays and lectures (Godel, Kurt//Collected Works) By Kurt Godel •Publisher: Oxford University Press, USA •Number Of Pages: 560 •Publication Date: 1995-03-30 •ISBN-10 / ASIN: 0195072553 •ISBN-13 / EAN: 9780195072556 Product Description: Kurt Godel (1906-1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory and stronger systems, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, the foundations of computation theory, unusual cosmological models, and for the strong individuality of his writings on the philosophy of mathematics. The Collected Works is a landmark resource that draws together a lifetime of creative accomplishment. The first two volumes were devoted to Godel's publications in full (both in the original and translation). This third volume features a wide selection of unpublished articles and lecture texts found in Godel's Nachlass, documents that enlarge considerably our appreciation of his scientific and philosophical thought and add a great deal to our understanding of his motivations. Continuing the format of the earlier volumes, the present volume includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, English translations of material originally written in German (some transcribed from Gabelsberger shorthand), and a complete bibliography. A succeeding volume is to contain a comprehensive selection of Godel's scientific correspondence and a complete inventory of his Nachlass. The books are designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science.