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Oxford Logic Guides #47: Set Theory: Boolean-Valued Models and Independence Proofs

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Oxford Logic Guides #47: Set Theory: Boolean-Valued Models and Independence Proofs Cover

 

Synopses & Reviews

Publisher Comments:

This second 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 second edition has been extensively updated with expanded introductory material, new chapters, and a new appendix on category theory. It also includes recent developments in the field and numerous exercises, along with the enlarged and entirely updated 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.

About the Author

John L. Bell is a member of the editorial boards of the journals Axiomathes and Philosophia Mathematica. he is Professor of Philosophy at the University of Western Ontario and a Fellow of the Royal Society of Canada.

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

Product Details

ISBN:
9780199609161
Author:
Bell, John L.
Publisher:
Oxford University Press, USA
Author:
Bell, J. L.
Subject:
General-General
Subject:
Logic
Subject:
Mathematics-Logic
Subject:
Mathematics-Logic and Philosophy
Subject:
Mathematics : Set Theory
Publication Date:
20111231
Binding:
TRADE PAPER
Language:
English
Illustrations:
23 black and white illustrations
Pages:
216
Dimensions:
6.1 x 9.1 x 0.5 in 0.775 lb

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Mathematics » Set Theory
Science and Mathematics » Mathematics » Topology

Oxford Logic Guides #47: Set Theory: Boolean-Valued Models and Independence Proofs New Trade Paper
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Product details 216 pages Oxford University Press, USA - English 9780199609161 Reviews:
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