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IN SEARCH OF ULTIMATE-L THE 19TH MIDRASHA MATHEMATICAE LECTURES

  • W. HUGH WOODIN (a1)
Abstract
Abstract

We give a fairly complete account which first shows that the solution to the inner model problem for one supercompact cardinal will yield an ultimate version of L and then shows that the various current approaches to inner model theory must be fundamentally altered to provide that solution.

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[19] Usuba T., The downward directed grounds hypothesis and very large cardinals, submitted, 2016.
[20] Hugh Woodin W., Suitable extender models I . Journal of Mathematical Logic, vol. 10 (2010), no. 1–2, pp. 101341.
[21] Hugh Woodin W., The Continuum Hypothesis, the generic-multiverse of sets, and the Ω Conjecture , Set Theory, Arithmetic and Foundations of Mathematics: Theorems, Philosophies (Kennedy J. and Kossak R., editors), Lecture Notes in Logic, vol. 36, Cambridge University Press, New York, NY, 2011, pp. 1342.
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[23] Hugh Woodin W., The axiom V = Ultimate-L, in preparation, 2016.
[24] Hugh Woodin W., Fine structure at the finite levels of supercompactness, in preparation, 2016, 710 pp.
[25] Hugh Woodin W., The Ultimate-L Conjecture, in preparation, 2016, 419 pp.
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Bulletin of Symbolic Logic
  • ISSN: 1079-8986
  • EISSN: 1943-5894
  • URL: /core/journals/bulletin-of-symbolic-logic
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