ENGLISH

Introduction to the theory of logic

By Jose L. Zalabardo

Book information

Publisher
Westview Press
Year
2000
ISBN
9780813390611, 0813390613, 081336602X
LCC
BC108 .Z35 2000
Open Library ID
OL46562M
Language
english
Format
DJVU
Filesize
6 MB (5967195 bytes)
Edition
illustrated edition
Pages
345\345
Topic
Mathematics Logic
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11
Математика;Математическая логика

Description

This book provides a rigorous introduction to the basic concepts and results of contemporary logic. It also presents, in two unhurried chapters, the mathematical tools (mainly from set theory) that are needed to master the technical aspects of the subject. Methods of definition and proof are also discussed at length, with special emphasis on inductive definitions and proofs and recursive definitions. The book is ideally suited for readers who want to undertake a serious study of logic but lack the mathematical background that other texts at this level presuppose. It can be used as a textbook in graduate and advanced undergraduate courses in logic. Hundreds of exercises are provided.Topics covered include basic set theory, propositional and first-order syntax and semantics, a sequent calculus-style deductive system, the soundness and completeness theorems, cardinality, the expressive limitations of first-order logic, with especial attention to the Loewenheim-Skolem theorems and non-standard models of arithmetic, decidability, complete theories, categoricity and quantifier elimination.

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