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Logic and Structure
Taschenbuch von Dirk Van Dalen
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Features a self-contained introduction into classical and intuitionistic logic using Gentzen's natural deduction

Includes the basics of recursion, proof and model theory (including a new section on ultraproducts)

Gives a comprehensive account of Goedel's Incompleteness Theorem within the framework of natural deduction

Includes supplementary material: [...]

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2012
Fachbereich: Populäre Darstellungen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 276
Reihe: Universitext
Inhalt: x
263 S.
27 s/w Illustr.
263 p. 27 illus.
ISBN-13: 9781447145578
ISBN-10: 1447145577
Sprache: Englisch
Herstellernummer: 86101173
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Dalen, Dirk Van
Auflage: 5th ed. 2013
Hersteller: Springer London
Universitext
Maße: 235 x 155 x 16 mm
Von/Mit: Dirk Van Dalen
Erscheinungsdatum: 13.11.2012
Gewicht: 0,423 kg
preigu-id: 106330108
Zusammenfassung

Features a self-contained introduction into classical and intuitionistic logic using Gentzen's natural deduction

Includes the basics of recursion, proof and model theory (including a new section on ultraproducts)

Gives a comprehensive account of Goedel's Incompleteness Theorem within the framework of natural deduction

Includes supplementary material: [...]

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2012
Fachbereich: Populäre Darstellungen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 276
Reihe: Universitext
Inhalt: x
263 S.
27 s/w Illustr.
263 p. 27 illus.
ISBN-13: 9781447145578
ISBN-10: 1447145577
Sprache: Englisch
Herstellernummer: 86101173
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Dalen, Dirk Van
Auflage: 5th ed. 2013
Hersteller: Springer London
Universitext
Maße: 235 x 155 x 16 mm
Von/Mit: Dirk Van Dalen
Erscheinungsdatum: 13.11.2012
Gewicht: 0,423 kg
preigu-id: 106330108
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