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Titlebook: Logic and Structure; Dirk Dalen Textbook 2013Latest edition Springer-Verlag London 2013 Basic model theory.First-order logic with natural

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發(fā)表于 2025-3-21 17:49:31 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Logic and Structure
編輯Dirk Dalen
視頻videohttp://file.papertrans.cn/588/587990/587990.mp4
概述Features a self-contained introduction into classical and intuitionistic logic using Gentzen’s natural deduction.Includes the basics of recursion, proof and model theory (including a new section on ul
叢書名稱Universitext
圖書封面Titlebook: Logic and Structure;  Dirk Dalen Textbook 2013Latest edition Springer-Verlag London 2013 Basic model theory.First-order logic with natural
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 G?del’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-L?wenheim, 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 G?del translation, the disjunction and existence property are also included. .The last chapter on G?del‘s first incompleteness theorem is self-containedand provides a systematic exposition of the necessary recursion theory. .This new edition has been properly revised and contains a new section on ultra-products..
出版日期Textbook 2013Latest edition
關(guān)鍵詞Basic model theory; First-order logic with natural deduction; Goedel‘s theorem; Intuitionistic logic an
版次5
doihttps://doi.org/10.1007/978-1-4471-4558-5
isbn_softcover978-1-4471-4557-8
isbn_ebook978-1-4471-4558-5Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag London 2013
The information of publication is updating

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Second-Order Logic,reating second-order logic is based on treating the second-order structures as somewhat dressed up first-order structures (there are two kinds of elements, ordinary ones and others that we call “sets”).
板凳
發(fā)表于 2025-3-22 02:57:40 | 只看該作者
,G?del’s Theorem,gant presentation of the required parts of recursion theory. The basic trick is the arithmetization of formal theories, in particular arithmetic that can treat (coded versions of) statements inside its theory. The arithmetization is carried out for Gentzen’s natural deduction.
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Textbook 2013Latest editionnd intuitionistic logic, model theory and G?del’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-L?we
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Universitexthttp://image.papertrans.cn/l/image/587990.jpg
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