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Peter Smith 作者

Cambridge University Press

译者

2007-8-6 出版日期

376 页数

USD 95.00 价格

Hardcover

丛书系列

9780521857840 图书编码

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

Peter Smith is Lecturer in Philosophy at the University of Cambridge. His books include Explaining Chaos (1998) and An Introduction to Formal Logic (2003), and he is a former editor of the journal of Analysis.

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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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