Set Theory and the Continuum Problem (Oxford Logic Guides) - Hardcover

Smullyan, Raymond M.; Fitting, Melvin

Hardcover

ISBN 10: 0198523955 ISBN 13: 9780198523956

Publisher: Oxford University Press, 1996

Synopsis

Set Theory and the Continuum Problem is a novel introduction to set theory, including axiomatic development, consistency, and independence results. It is self-contained and covers all the set theory that a mathematician should know. Part I introduces set theory, including basic axioms, development of the natural number system, Zorn's Lemma and other maximal principles. Part II proves the consistency of the continuum hypothesis and the axiom of choice, with material on collapsing mappings, model-theoretic results, and constructible sets. Part III presents a version of Cohen's proofs of the independence of the continuum hypothesis and the axiom of choice. It also presents, for the first time in a textbook, the double induction and superinduction principles, and Cowen's theorem. The book will interest students and researchers in logic and set theory.

About this title

About the Author

Raymond M. Smullyan, Professor Emeritus, Indiana University. Melvin Fitting, Professor, City University of New York.

Edition details

• Publisher: Oxford University Press
• Publication date: 1996
• ISBN 10: 0198523955
• ISBN 13: 9780198523956
• Binding: Hardcover
• Language: English
• Number of pages: 302