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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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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
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?)
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...