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Tokyo Metropolitan University Library

Logic and Structure

by Dirk van Dalen. -- 5th ed. 2013. -- Springer London, 2013. -- (Universitext). w. <EB00006190>
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Logic and Structure

by Dirk van Dalen. -- 5th ed. 2013. -- Springer London, 2013. -- (Universitext). w. <EB00006190>
Tag:
No tag is registered
Functions:
Details
URL:

Bibliography Details

IDENT http://dx.doi.org/10.1007/978-1-4471-4558-5
title and statement of responsibility area Logic and Structure / by Dirk van Dalen
specific material designation code Remote
edition area 5th ed. 2013
publication,distribution,etc.,area London : Springer London : Imprint: Springer , 2013
physical description area X, 263 p. 27 illus : online resource
Volume Information
ISBN 9781447145585
parent bibliography link Universitext <>//a
contents of works Introduction
contents of works Propositional Logic
contents of works Predicate Logic
contents of works Completeness and Applications
contents of works Second Order Logic
contents of works Intuitionistic Logic
contents of works Normalization
contents of works Godel's theorem
note 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 Godel'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-Lowenheim, 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 Godel translation, the disjunction and existence property are also included. The last chapter on Godel'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
NCID 9781447145578
text language code English
author link *Dalen, Dirk van <> author
author link SpringerLink (Online service) <>
classification DC23:511.3
subject headings Mathematics
subject headings Mathematical logic
subject headings Mathematics
subject headings Mathematical Logic and Foundations
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