Set Theory and the Continuum Hypothesis

Set Theory and the Continuum Hypothesis 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 prese

  • Title: Set Theory and the Continuum Hypothesis
  • Author: Paul Cohen
  • ISBN: 9780486469218
  • Page: 335
  • Format: Paperback
  • 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 atThis 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 B cher 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 G del 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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      335 Paul Cohen
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      Posted by:Paul Cohen
      Published :2018-05-07T10:52:16+00:00

    1 thought on “Set Theory and the Continuum Hypothesis”

    1. 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?)

    2. 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 [...]

    3. Following a presumptuous page and a half introduction, Cohen presents the standard symbols of first order logic - "and" "or" "not" "ifen" "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 skill at exp [...]

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