Set Theory and the Continuum Hypothesis

by Paul J. Cohen

Overview

This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by Paul J. Cohen. It presents not only an accessible technical explanation of the author's landmark proof but also a fine introduction to mathematical logic. An emeritus professor of mathematics at Stanford University, Dr. Cohen won two of the most prestigious awards in mathematics: in 1964, he was awarded the American Mathematical Society's Bôcher Prize for analysis; and in 1966, he received the Fields Medal for Logic.
In this volume, the distinguished mathematician offers an exposition of set theory and the continuum hypothesis that employs intuitive explanations as well as detailed proofs. The self-contained treatment includes background material in logic and axiomatic set theory as well as an account of Kurt Gödel's proof of the consistency of the continuum hypothesis. An invaluable reference book for mathematicians and mathematical theorists, this text is suitable for graduate and postgraduate students and is rich with hints and ideas that will lead readers to further work in mathematical logic.

Product Details

ISBN-13:	9780486469218
Publisher:	Dover Publications
Publication date:	12/09/2008
Series:	Dover Books on Mathematics
Pages:	190
Sales rank:	835,470
Product dimensions:	5.90(w) x 9.10(h) x 0.50(d)

About the Author

A renowned mathematician, professor, and theorist, the late Paul J. Cohen won two of the most prestigious awards in mathematics: the American Mathematical Society's Bôcher Prize in 1964, for analysis; and the Fields Medal, the "Nobel Prize" of mathematics, in 1966, for logic.

Table of Contents

General Background in Logic
Zermelo-Fraenkel Set Theory
The Consistsency of the Continuum Hypothesis and the Axiom of Choice
The Independence of the Continuum Hypothetis and the Axiom of Choice
References