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 Bocher 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 Godel'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.
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