Set Theory and the Continuum Problem (Oxford Logic Guides)

Smullyan, Raymond M.; Fitting, Melvin

ISBN 10: 0198523955 / ISBN 13: 9780198523956

Published by Oxford University Press, 1996

About this Item

Gently read. May have name of previous ownership, or ex-library edition. Binding tight; spine straight and smooth, with no creasing; covers clean and crisp. Minimal signs of handling or shelving. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships USPS Media Mail.

Seller Inventory # OTV.0198523955.VG

Bibliographic Details

• Title: Set Theory and the Continuum Problem (Oxford Logic Guides)
• Publisher: Oxford University Press
• Publication Date: 1996
• Language: English
• ISBN 10: 0198523955
• ISBN 13: 9780198523956
• Binding: Hardcover
• Condition: very_good

About this title

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 the Author

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