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Introduction To The Theory Of Logic PDF

345 Pages·2000·31.328 MB·English
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by Jose L. Zalabardo| 2000| 345 pages| 31.328| English

About Introduction To The Theory Of Logic

Introduction to the Theory of Logic 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 thus 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 special attention to the Loewenheim-Skolem theorems and nonstandard models of arithmetic, decidability, complete theories, categoricity and quantifier elimination.

Detailed Information

Author:Jose L. Zalabardo
Publication Year:2000
ISBN:813390613
Pages:345
Language:English
File Size:31.328
Format:PDF
Price:FREE
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