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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对于介绍godel's incompleteness theorems的书而言 这本是被认为比较权威的 但我觉得这本书的语言实在不敢恭维 运用过多描述性的语言去描述数学/逻辑方面的内容 而且作者个人的感想一类的过多了
评分突然想起来我还读过这本书。真的十分啰嗦（哲学家式的啰嗦），当时让我头都晕了还没搞明白哥德尔不完全性定理的证明。建议学数学的同学直接读严肃的哥德尔不完全性定理的证明，除非你想锻炼英语可以读这本。
评分it does a better job in illustrating the point, but Smullyan's book plays with it
评分it does a better job in illustrating the point, but Smullyan's book plays with it
评分突然想起来我还读过这本书。真的十分啰嗦（哲学家式的啰嗦），当时让我头都晕了还没搞明白哥德尔不完全性定理的证明。建议学数学的同学直接读严肃的哥德尔不完全性定理的证明，除非你想锻炼英语可以读这本。
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