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Mathematical Logic Hardcover - 2008 - 1st Edition

Name: Mathematical Logic
Price: 47.63 USD
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Author: Tourlakis, George
ISBN: 9780470280744

by George Tourlakis

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From the publisher

Includes bibliographical references and index.

From the rear cover

A comprehensive and user-friendly guide to the use of logic in mathematical reasoning

Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid mathematical arguments that can be used to uncover truths across diverse areas of study such as mathematics, computer science, and philosophy.

The book develops the logical tools for writing proofs by guiding readers through both the established "Hilbert" style of proof writing, as well as the "equational" style that is emerging in computer science and engineering applications. Chapters have been organized into the two topical areas of Boolean logic and predicate logic. Techniques situated outside formal logic are applied to illustrate and demonstrate significant facts regarding the power and limitations of logic, such as:

Logic can certify truths and only truths.
Logic can certify all absolute truths (completeness theorems of Post and Gdel).
Logic cannot certify all "conditional" truths, such as those that are specific to the Peano arithmetic. Therefore, logic has some serious limitations, as shown through Gdel's incompleteness theorem.

Numerous examples and problem sets are provided throughout the text, further facilitating readers' understanding of the capabilities of logic to discover mathematical truths. In addition, an extensive appendix introduces Tarski semantics and proceeds with detailed proofs of completeness and first incompleteness theorems, while also providing a self-contained introduction to the theory of computability.

With its thorough scope of coverage and accessible style, Mathematical Logic is an ideal book for courses in mathematics, computer science, and philosophy at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners who wish to learn how to use logic in their everyday work.

Details

Title Mathematical Logic
Author George Tourlakis
Binding Hardcover
Edition number 1st
Edition 1
Pages 312
Volumes 1
Language ENG
Publisher Wiley-Interscience, Hoboken, New Jersey
Date 2008-08-01
Illustrated Yes
Features Bibliography, Illustrated, Index, Table of Contents
ISBN 9780470280744 / 0470280743
Weight 1.2 lbs (0.54 kg)
Dimensions 9.3 x 6.2 x 0.8 in (23.62 x 15.75 x 2.03 cm)
Library of Congress subjects Logic, Symbolic and mathematical
Library of Congress Catalog Number 2008009433
Dewey Decimal Code 511.3

Media reviews

Citations

Choice, 04/01/2009, Page 0
Scitech Book News, 12/01/2008, Page 15

About the author

GEORGE TOURLAKIS, PhD, is University Professor of Computer Science and Engineering at York University, Canada. Dr. Tourlakis has authored or coauthored numerous articles in his areas of research interest, which include calculational logic, modal logic, computability, complexity theory, and arithmetical forcing.

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Mathematical Logic

by Tourlakis, George

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Hardcover

ISBN 10 / ISBN 13

9780470280744 / 0470280743

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Wiley-Interscience, 2008. hardcover. Good +/None as issued. 6x0x9. Ex-university library copy that has seen little use. Expected library stickers and stamps. Pages are clean and unmarked. Would easily rate as Very Good if not for the library markings. Books that sell for $9 or more ship in a box; under $9 in a bubble mailer. Expedited and international orders may ship in a flat rate envelope rather than a box due to cost constraints. All US-addressed items ship with complimentary delivery confirmation.

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