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Dirk van Dalen 作者

Springer-Verlag London

譯者

2012-11-13 出版日期

276 頁數

CAD 108.38 價格

Paperback

universitext 叢書系列

9781447145578 圖書編碼

Logic and Structure 在線電子書圖書標籤: 數學計算機科學 Logic 數理邏輯待藉 Springer 2013

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Logic and Structure 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Logic and Structure 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Logic and Structure 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Logic and Structure 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Logic and Structure 在線電子書圖書描述

Dirk van Dalen’s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style using Gentzen’s natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property are also included. The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products.

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