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

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Peter Smith

Cambridge University Press

2007-8-6

376

USD 36.99

Paperback

9780521674539

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2024-12-23

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

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

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 下载 mobi epub pdf txt 电子书