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Dirk van Dalen 作者

Springer-Verlag London

译者

2012-11-13 出版日期

276 页数

CAD 108.38 价格

Paperback

universitext 丛书系列

9781447145578 图书编码

Logic and Structure 在线电子书图书标签: 数学计算机科学 Logic 数理逻辑待借 Springer 2013

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Logic and Structure 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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