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Logic and Structure

Dirk van Dalen

$176.95   $141.94

Paperback

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English
Springer London Ltd
13 November 2012
Series: 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-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.
By:  
Imprint:   Springer London Ltd
Country of Publication:   United Kingdom
Edition:   5th ed. 2013
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 14mm
Weight:   4.219kg
ISBN:   9781447145578
ISBN 10:   1447145577
Series:   Universitext
Pages:   283
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Reviews for Logic and Structure

From the reviews of the fifth edition: This is the fifth edition of van Dalen's respected and enduring logic textbook, first published in 1980. ... Intended as a text for an undergraduate course in logic, this text contains considerably more material than can be covered in one semester. ... this is quite a good book and is certainly a very serious contender as a text for an undergraduate course, and should be carefully looked at by anybody teaching such a course. (Mark Hunacek, MAA Reviews, June, 2013)


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