Logic and Structure:

ISBN-10: 1447145577
ISBN-13: 9781447145578
Edition: 2012
Authors: Dirk Van Dalen
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Description: 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  More...

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Book details

Copyright year: 2012
Publisher: Springer Verlag
Binding: Paperback
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.836
Language: English

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-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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