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Set Theory and the Continuum Hypothesis

4.23  ·  Rating details ·  30 Ratings  ·  4 Reviews
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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J.
Feb 11, 2009 rated it it was amazing  ·  review of another edition
Now 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 pedagogical elucidatory talents with compound interest. Vastly easier than Cohen's original journal papers on forcing, you'll be able to follow this if you're as sharp as a Harvard undergrad (and who isn't?)
Dylan
Jan 02, 2011 rated it really liked it
Shelves: 2011, mathematics
well i'm going to read this book again in the near future to get a more complete grasp on all the topics. i read it too slowly! school got in the way. still, though its only 150 pages this book contains an astounding amount of, uh, good theorems and shit. would like if it was typeset using LaTeX, but hey i'm just happy dover is publishing it again. (and for so cheap!). a few typos. a few of the proofs could have maybe used a bit more detail. all in all though, really well organized, compact, and ...more
Nick Black
Jun 04, 2008 marked it as to-read  ·  review of another edition
Shelves: to-acquire
2009-02-13. Thanks, Dover, for reprinting this classic (a perennial favorite on http://outofprintmath.blogspot.com)!
IQ
rated it really liked it
Feb 04, 2011
Jose_A.
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Jan 21, 2012
Jared Davis
Jul 11, 2017 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 ) on page 11.

I'm saved by having studied logic and the completeness theorems before.... and by Cohen's adept skil
...more
Yotam Medini
rated it it was amazing
Oct 28, 2013
Vincent Poirier
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Apr 06, 2012
Dildash Zhumagulova
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Dec 11, 2017
Eric Schudy
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Apr 15, 2015
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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.
More about Paul Cohen...