Home Set Theory and the Continuum Problem by Raymond M. Smullyan; Melvin Fitting (ISBN: 9780486474847)

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Set Theory and the Continuum Problem Paperback - 2010

Name: Set Theory and the Continuum Problem (Dover Books on Mathematics)
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Author: Smullyan, Raymond M.; Fitting, Melvin
ISBN: 9780486474847

by Raymond M. Smullyan; Melvin Fitting

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From the publisher

A lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first of three parts focuses on axiomatic set theory. The second part explores the consistency of the continuum hypothesis, and the final section examines forcing and independence results.
Part One's focus on axiomatic set theory features nine chapters that examine problems related to size comparisons between infinite sets, basics of class theory, and natural numbers. Additional topics include author Raymond Smullyan's double induction principle, super induction, ordinal numbers, order isomorphism and transfinite recursion, and the axiom of foundation and cardinals. The six chapters of Part Two address Mostowski-Shepherdson mappings, reflection principles, constructible sets and constructibility, and the continuum hypothesis. The text concludes with a seven-chapter exploration of forcing and independence results. This treatment is noteworthy for its clear explanations of highly technical proofs and its discussions of countability, uncountability, and mathematical induction, which are simultaneously charming for experts and understandable to graduate students of mathematics.

Details

Title Set Theory and the Continuum Problem
Author Raymond M. Smullyan; Melvin Fitting
Binding Paperback
Edition Revised
Pages 336
Volumes 1
Language ENG
Publisher Dover Publications
Publication date 2010-04
Illustrated Yes
Features Bibliography, Illustrated, Index, Table of Contents
ISBN 9780486474847 / 0486474844
Weight 0.85 lbs (0.39 kg)
Dimensions 8.9 x 5.9 x 0.8 in (22.61 x 14.99 x 2.03 cm)
Category Mathematics
Library of Congress subjects Set theory, Continuum hypothesis
Library of Congress Catalogue Number 2009036172
Dewey Decimal Code 511.322

About the author

Raymond Smullyan received his PhD from Princeton University and taught at Dartmouth, Princeton, Indiana University, and New York's Lehman College. Best known for his mathematical and creative logic puzzles and games, he was also a concert pianist and a magician. He wrote over a dozen books of logic puzzles and texts on mathematical logic.Melvin Fitting, a former student of Dr. Smullyan, is Professor of Mathematics and Computer Science at Lehman College, City University of New York.

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Set Theory and the Continuum Problem (Dover Books on Mathematics)

by Smullyan, Raymond M.; Fitting, Melvin

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Binding: Paperback
ISBN 10 / ISBN 13: 9780486474847 / 0486474844
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Description:

Dover Publications, 2010. Soft cover. Very Good. Softcover in glossy, excellent condition: slight exterior wear, owner's name and date on the corner of the title page, otherwise unmarked. 315 pages. [15oz]