Proof Theory 在线电子书 图书标签: 证明论 数理逻辑 数学 逻辑学 哲学 pl nemlophics Mathematics
发表于2025-04-08
Proof Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025
叙述清晰凝练
评分书是好书,作者是好作者。但是尽管经过了多次修订,内容上依然还是有些旧。不过对于初学者来说已经足够了,也有一定的难度。对于高阶学者来说,基本上就是在复习proof theory一开始的abc,几乎完全没有涉及到80年代以后这个领域翻天覆地的变化。
评分叙述清晰凝练
评分书是好书,作者是好作者。但是尽管经过了多次修订,内容上依然还是有些旧。不过对于初学者来说已经足够了,也有一定的难度。对于高阶学者来说,基本上就是在复习proof theory一开始的abc,几乎完全没有涉及到80年代以后这个领域翻天覆地的变化。
评分叙述清晰凝练
Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.
The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.
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Proof Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025