An Introduction to Gödel's Theorems 2024 pdf epub mobi 电子书

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发表于2024-12-23

An Introduction to Gödel's Theorems 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:Peter Smith

出品人:

页数:376

译者:

出版时间:2007-8-6

价格:USD 36.99

装帧:Paperback

isbn号码:9780521674539

丛书系列:

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

An Introduction to Gödel's Theorems 2024 pdf epub mobi 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.

An Introduction to Gödel's Theorems 2024 pdf epub mobi 电子书

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