Logic and structure Dirk van Dalen

Format:

Book

Author/Creator:

Dalen, D. van (Dirk), 1932-

Series:

Universitext

Universitext 0172-5939

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Physical Description:

1 online resource

Edition:

5th ed.

Place of Publication:

London New York Springer ©2013

System Details:

text file

PDF

Summary:

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

Contents:

Propositional Logic Predicate Logic Completeness and Applications Second-Order Logic Intuitionistic Logic Normalization Gödel's Theorem

Notes:

Includes bibliographical references and index

ISBN:

9781447145585

1447145585

OCLC:

820878816

Access Restriction:

Restricted for use by site license