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         Continuum Hypothesis:     more books (21)
  1. Set Theory and the Continuum Hypothesis by Paul J. Cohen, 1966-08
  2. Consistency of the Continuum Hypothesis. (AM-3) by Kurt Godel, 1940-09-01
  3. A comparison of autogenous/reactive obsessions and worry in a nonclinical population: a test of the continuum hypothesis [An article from: Behaviour Research and Therapy] by H.J. Lee, S.H. Lee, et all
  4. Consistency of the Continuum Hypothesis by Kurt Godel, 0000
  5. Set Theory and the Continuum Hypothesis by Paul J. Cohen, 1966
  6. The Consistency of the Continuum Hypothesis by Kurt Goedel, 1951
  7. THE CONSISTENCY OF THE CONTINUUM HYPOTHESIS.Annals of Mathematics Studies Number 3
  8. The Consistency of the Axiom of Choice and of the Continuum-Hypothesis by Kurt GODEL, 1951
  9. Consistency of the Continuum Hypothesis by Kurt Gödel, 1940
  10. On the consistency of the generalized continuum hypothesis (Polska Akademia Nauk. Instytut Matematyczny. Rozprawy matematyczne) by Ladislav Rieger, 1963
  11. A proof of the independence of the continuum hypothesis by Dana S Scott, 1966
  12. The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory, (Annals of mathematics studies) by Kurt Gödel, 1949
  13. Logic numbers and the continuum hypothesis (Transfigural mathematics series) by Lere Shakunle, 1991
  14. THE CONSISTENCY OF THE CONTINUUM HYPOTHESIS

81. [FOM] Continuum Hypothesis
FOM continuum hypothesis. Harvey Friedman Mangin writes 1) Do you believe that the continuum hypothesis is true, or false? I personally
http://www.cs.nyu.edu/pipermail/fom/2003-May/006640.html
[FOM] Continuum Hypothesis
Harvey Friedman friedman at math.ohio-state.edu
Sun May 18 01:35:25 EDT 2003 1) Do you believe that the continuum hypothesis is true, or false? I personally do not think about the continuum hypothesis in these terms. I think about *what kind of results would shed light on the status of the continuum hypothesis?* Here "status" means truth, falsity, and more broadly, notions of meaningfulness and meaninglessness. I have not succeeded in doing anything important on this, although I do have some ideas in this direction that I would like to pursue. They are just ideas. > 2) Is there any general consensus amongst the mathematical/FOM community regarding the truth or falsity of CH? 3) What are the most important recent developments post-Cohen which have contributed to this consensus (or lack thereof)? The lack of consensus as to meaningfulness has been fed by the fact that i) on the one hand, CH demonstrably holds in L, and in the analog of L where large cardinals abound (inner models), and ii) every (countable) model of every reasonable large cardinal hypothesis has plenty of forcing extensions in which CH fails. For some but not all, this casts doubt on the meaningfulness of CH. Also, the lack of a compelling thematically striking general principle about the nature of sets after such a long time, for some but not all, casts doubt on the meaningfulness of CH. Feferman has been most vocal among famous logicians that "CH is not meaningful". >

82. [FOM] The Continuum Hypothesis
FOM The continuum hypothesis. Previous message FOM RE FOM continuum hypothesis; Next message FOM The continuum hypothesis;
http://www.cs.nyu.edu/pipermail/fom/2003-May/006642.html
[FOM] The Continuum Hypothesis
Joan Bagaria joan.bagaria at aaupc.upcnet.es
Mon May 19 00:39:59 EDT 2003 2) Is there any general consensus amongst the mathematical/FOM community 3) What are the most important recent developments post-Cohen which have contributed to this consensus (or lack thereof)? The most important contributions are due to Woodin. Besides the two survey papers by Woodin referenced in Mathias' yesterday posting, I would like to recommend Patrick Dehornoy's survey paper on Woodin's work on the Continuum Hypothesis, recently presented at the Seminaire Bourbaki. It is available, both in French and English, at Patrick's home page http://www.math.unicaen.fr/~dehornoy Have set-theorists proposed any plausible axioms which might decide CH? bagaria at trivium.gh.ub.es More information about the FOM mailing list

83. From Jeremy Boden Jeremy@jboden.demon.co.uk Subject Re
jeremy@jboden.demon.co.uk Subject Re Question Date Tue, 23 Feb 1999 233916 +0000 Newsgroups sci.math Keywords What is the continuum hypothesis ?
http://www.math.niu.edu/~rusin/known-math/99/CH
From: Jeremy Boden Subject: Re: Question Date: Tue, 23 Feb 1999 23:39:16 +0000 Newsgroups: sci.math Keywords: What is the "Continuum Hypothesis"? In article , Pepero , "Nick Tsocanos"

84. From Rupert4050@my-deja.com Subject Re Continuum Hypothesis
From rupert4050@mydeja.com Subject Re continuum hypothesis Date Thu, 16 Dec 1999 011410 GMT Newsgroups sci.math Keywords Natural assumptions which
http://www.math.niu.edu/~rusin/known-math/99/not_CH
From: rupert4050@my-deja.com Subject: Re: Continuum Hypothesis Date: Thu, 16 Dec 1999 01:14:10 GMT Newsgroups: sci.math Keywords: Natural assumptions which imply negation of Continuum Hypothesis In article such that <=x <=1 and <=y <=1, and for each x the set of y such that is in S is countable. That set is pretty thin in the unit square, right? Now, consider its reflection in the diagonal y=x. That's the set of points such that such that :beta

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