An Introduction to Gödel's Theorems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Peter Smith 作者

Cambridge University Press

译者

2007-8-6 出版日期

376 页数

USD 36.99 价格

Paperback

丛书系列

9780521674539 图书编码

An Introduction to Gödel's Theorems 在线电子书图书标签: 数理逻辑数学 Logic 逻辑哲学哥德尔《数理逻辑》邢滔滔 to

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发表于2024-06-30

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An Introduction to Gödel's Theorems 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

An Introduction to Gödel's Theorems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

An Introduction to Gödel's Theorems 在线电子书用户评价

评分☆☆☆☆☆

it does a better job in illustrating the point, but Smullyan's book plays with it

评分☆☆☆☆☆

对于介绍godel's incompleteness theorems的书而言这本是被认为比较权威的但我觉得这本书的语言实在不敢恭维运用过多描述性的语言去描述数学/逻辑方面的内容而且作者个人的感想一类的过多了

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突然想起来我还读过这本书。真的十分啰嗦（哲学家式的啰嗦），当时让我头都晕了还没搞明白哥德尔不完全性定理的证明。建议学数学的同学直接读严肃的哥德尔不完全性定理的证明，除非你想锻炼英语可以读这本。

评分☆☆☆☆☆

it does a better job in illustrating the point, but Smullyan's book plays with it

An Introduction to Gödel's Theorems 在线电子书著者简介

An Introduction to Gödel's Theorems 在线电子书图书目录

An Introduction to Gödel's Theorems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

An Introduction to Gödel's Theorems 在线电子书图书描述

In 1931, the young Kurt Godel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Godel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

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