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# Set Theory and the Continuum Hypothesis

by
Paul Cohen

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
...more

Paperback, 190 pages

Published
December 9th 2008
by Dover Publications
(first published August 1966)

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## Community Reviews

(showing 1-10)

*this*is how to really understand forcing. No offense to Badiou, obviously, for not making this foundational book dispensable. Even (& especially) careful readers of

*Being and Event*should rather follow his example and work through this. Confirms Cohen's vaunted

Jul 11, 2017
Jared Davis
marked it as nightstand

Following a presumptuous page and a half introduction, Cohen presents the standard symbols of first order logic - "and" "or" "not" "if...then" "if and only if" - and then the two second order quantifiers - "some" "all" - bringing the reader to confront Godel's completeness theorem ( roughly, the cardinality of a model does not exceed the cardinality of the statement set it interprets )

I'm saved by having studied logic and the completeness theorems before.... and by Cohen's adept skil ...more

**on page 11**.I'm saved by having studied logic and the completeness theorems before.... and by Cohen's adept skil ...more

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Paul Joseph Cohen (April 2, 1934 – March 23, 2007) was an American mathematician best known for his proof of the independence of the continuum hypothesis and the axiom of choice from Zermelo–Fraenkel set theory, the most widely accepted axiomatization of set theory.

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