Introduction to Mathematical Logic

Mendelson, Elliott

ISBN 10: 0442253079 / ISBN 13: 9780442253073

Edité par Book World Promotions, 1979

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Détails bibliographiques

Titre : Introduction to Mathematical Logic

Éditeur : Book World Promotions

Date d'édition : 1979

Reliure : Hardcover

Etat : Good

Edition : 2ème Édition

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Synopsis :

Book by Mendelson Elliott

Présentation de l'éditeur:

The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and an appendix furnishes answers to many of them.
Introduction to Mathematical Logic includes:

propositional logic

first-order logic

first-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarski

axiomatic set theory

theory of computability
The study of mathematical logic, axiomatic set theory, and computability theory provides an understanding of the fundamental assumptions and proof techniques that form basis of mathematics. Logic and computability theory have also become indispensable tools in theoretical computer science, including artificial intelligence. Introduction to Mathematical Logic covers these topics in a clear, reader-friendly style that will be valued by anyone working in computer science as well as lecturers and researchers in mathematics, philosophy, and related fields.