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2025-01-23
An Introduction to Gödel's Theorems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025
it does a better job in illustrating the point, but Smullyan's book plays with it
評分it does a better job in illustrating the point, but Smullyan's book plays with it
評分突然想起來我還讀過這本書。真的十分囉嗦(哲學傢式的囉嗦),當時讓我頭都暈瞭還沒搞明白哥德爾不完全性定理的證明。建議學數學的同學直接讀嚴肅的哥德爾不完全性定理的證明,除非你想鍛煉英語可以讀這本。
評分it does a better job in illustrating the point, but Smullyan's book plays with it
評分突然想起來我還讀過這本書。真的十分囉嗦(哲學傢式的囉嗦),當時讓我頭都暈瞭還沒搞明白哥德爾不完全性定理的證明。建議學數學的同學直接讀嚴肅的哥德爾不完全性定理的證明,除非你想鍛煉英語可以讀這本。
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 2025