About this product

Product Identifiers

PublisherSpringer London, The Limited

ISBN-101447145577

ISBN-139781447145578

eBay Product ID (ePID)150673493

Product Key Features

Number of PagesX, 263 Pages

LanguageEnglish

Publication NameLogic and Structure

Publication Year2012

SubjectLogic

TypeTextbook

AuthorDirk Van Dalen

Subject AreaMathematics

SeriesUniversitext Ser.

FormatTrade Paperback

Dimensions

Item Height0.2 in

Item Weight148.8 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Edition Number5

Intended AudienceScholarly & Professional

LCCN2012-953020

Dewey Edition22

ReviewsFrom 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)

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal511.3

Table Of ContentIntroduction.- Propositional Logic.- Predicate Logic.- Completeness and Applications.- Second Order Logic.- Intuitionistic Logic.- Normalization.- Gödel's theorem.

SynopsisDirk van Dalen's popular textbook, 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. Includes a new section on ultra-products., 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., 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.

LC Classification NumberQA8.9-10.3