Set Theory

This third edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory,. It provides an exposition of some of the most important results in set theory obtained in the 20th century: the independence of the continuum hypothesis and the axiom of choice. Aimed at graduate students and researchers in mathematics, mathematical logic, philosophy, and computer science, the third edition has been extensively updated with expanded introductory material, new chapters, and a new appendix on category theory. It covers recent developments in the field and contains numerous exercises, along with updated and increased coverage of the background material. This new paperback edition includes additional corrections and, for the first time, will make this landmark text accessible to students in logic and set theory.

ISBN 0199609160   Weight (grammes) 356 ISBN13 9780199609161 (What's this?)   Published in Oxford Publisher Oxford University Press   Series title Oxford Logic Guides Imprint Oxford University Press   Previous ISBN 9780198568520 Format Paperback   Height (mm) 234 Publication date 05 May 2011   Width (mm) 166 DEWEY 511.322   Spine width (mm) 12 DEWEY edition DC22   Academic level Postgraduate Pages 216

FORWARD BY DANA SCOTT; PREFACE; LIST OF PROBLEMS; 0. Boolean and Heyting Algebras: The Essentials; 1. Boolean-Valued Models of Set Theory: First Steps; 2. Forcing and Some Independence Proofs; 3. Group Actions on V(B) and the Independence of the Axiom of Choice; 4. Generic Ultrafilters and Transitive Models of ZFC; 5. Cardinal Collapsing, Boolean Isomorphism, and Applications to the Theory of Boolean Algebras; 6. Iterated Boolean Extensions, Matrin's Axiom, and Souslin's Hypothesis; 7. Boolean-Valued Analysis; 8. Intuitionistic Set Theory and Heyting-Algebra-Valued Models; APPENDIX: BOOLEAN AND HEYTING ALGEBRA-VALUED MODELS AS CATEGORIES; HISTORICAL NOTES; BIBLIOGRAPHY; INDEX OF SYMBOLS; INDEX OF TERMS

Bell's presentation is lively and pleasent to read, and the material is given in a nicely cohesive way. Philosophia Mathmatica

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