[Universitext] Logic and Structure || 🔍
Dirk van Dalen (auth.)
Springer London : Imprint : Springer, 10.1007/97, 2013
英语 [en] · PDF · 2.2MB · 2013 · 📘 非小说类图书 · 🚀/lgli/scihub/zlib · Save
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.
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.
备用文件名
zlib/no-category/van Dalen, Dirk/[Universitext] Logic and Structure ||_54086271.pdf
备选标题
Logic and Structure [recurso electrónico
备选标题
Logic and Structure (Universitext)
备选作者
van Dalen, Dirk
备选作者
by Dirk Dalen
备用出版商
Springer London Ltd
备用版本
Springer Nature (Textbooks & Major Reference Works), London, 2013
备用版本
Universitext, 5th ed. 2013., London, United Kingdom, 2013
备用版本
United Kingdom and Ireland, United Kingdom
备用版本
UNIVERSITEXT, Fifth edition 2013, uuuu
元数据中的注释
sm21707147
元数据中的注释
MiU
备用描述
<p>Introduction
Propositional Logic
Predicate Logic
Completeness and Applications
Second Order Logic
Intuitionistic Logic
Normalization
Gödel's theorem.</p>.
Propositional Logic
Predicate Logic
Completeness and Applications
Second Order Logic
Intuitionistic Logic
Normalization
Gödel's theorem.</p>.
开源日期
2015-07-14
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外部下载
- Sci-Hub: 10.1007/978-1-4471-4558-5
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