An Introduction to Gödel's Theorems 在線電子書 圖書標籤: 數理邏輯 數學 Logic 邏輯 哲學 哥德爾 《數理邏輯》邢滔滔 to
發表於2024-12-23
An Introduction to Gödel's Theorems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
對於介紹godel's incompleteness theorems的書而言 這本是被認為比較權威的 但我覺得這本書的語言實在不敢恭維 運用過多描述性的語言去描述數學/邏輯方麵的內容 而且作者個人的感想一類的過多瞭
評分3t written by logician in philosophy, chattier but good for intuition
評分缺點是廢話太多,囉嗦。
評分對於介紹godel's incompleteness theorems的書而言 這本是被認為比較權威的 但我覺得這本書的語言實在不敢恭維 運用過多描述性的語言去描述數學/邏輯方麵的內容 而且作者個人的感想一類的過多瞭
評分it does a better job in illustrating the point, but Smullyan's book plays with it
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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An Introduction to Gödel's Theorems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024