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Set Theory Boolean Valued Models and Independence Proofs 3rd Edition by J L Bell ISBN 0198531680 9780198531685

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Set Theory Boolean Valued Models and Independence Proofs 3rd Edition J.L. Bell Digital Instant Download

Author(s): J.L. Bell
ISBN(s): 9780198531685, 0198531680
Edition: 3rd
File Details: PDF, 1.10 MB
Year: 2005
Language: english
SKU: EB-1279252 Category: Tag:

Set Theory Boolean Valued Models and Independence Proofs 3rd Edition by J.L. Bell – Ebook PDF Instant Download/Delivery: 0198531680, 9780198531685

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Product details:

ISBN 10: 0198531680

ISBN 13: 9780198531685 

Author: J.L. Bell

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.

Table of contents:

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

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Tags: J L Bell, Set Theory, Boolean Valued Models, Independence, Proofs