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portada Logic and Structure (Universitext)
Type
Physical Book
Publisher
Author
Year
2012
Language
English
Pages
276
Format
Paperback
ISBN
1447145577
ISBN13
9781447145578
Edition No.
5
Categories

Logic and Structure (Universitext)

Dirk Van Dalen; D. Van Dalen (Author) · Springer · Paperback

Logic and Structure (Universitext) - Dirk Van Dalen; D. Van Dalen

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Synopsis "Logic and Structure (Universitext) "

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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