Set Theory and the Continuum Hypothesis

Paul J Cohen, Martin Davis

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English

Dover
09 December 2008

Mathematics & Sciences; Set theory

Series: Dover Books on Mathema 1.4tics

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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.

By: Paul J Cohen
Introduction by: Martin Davis
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 234mm, Width: 155mm, Spine: 10mm
Weight: 258g
ISBN: 9780486469218
ISBN 10: 0486469212
Series: Dover Books on Mathema 1.4tics
Pages: 154
Publication Date: 09 December 2008
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified