Format:
Online-Ressource (X, 263 p. 27 illus, digital)
Edition:
5th ed. 2013
ISBN:
9781447145585
Series Statement:
Universitext
Content:
Introduction -- Propositional Logic -- Predicate Logic -- Completeness and Applications -- Second Order Logic -- Intuitionistic Logic -- Normalization -- Gödel's theorem.
Content:
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.
Note:
Description based upon print version of record
,
〈p〉Introduction -- Propositional Logic -- Predicate Logic -- Completeness and Applications -- Second Order Logic -- Intuitionistic Logic -- Normalization -- Gödel's theorem.〈/p〉.
Additional Edition:
ISBN 9781447145578
Additional Edition:
Buchausg. u.d.T. Dalen, Dirk van, 1932 - Logic and structure Berlin : Springer, 2013 ISBN 9781447145578
Language:
English
Subjects:
Mathematics
Keywords:
Mathematische Logik
;
Mathematische Logik
;
Lehrbuch
DOI:
10.1007/978-1-4471-4558-5
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Dalen, Dirk van 1932-
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