- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Successive weakly compact or singular cardinals
Journal of Symbolic Logic 64 (1):139-146 (1999)
Abstract
It is shown in ZF that if $\delta are such that δ and δ + are either both weakly compact or singular cardinals and Ω is large enough for putting the core model apparatus into action then there is an inner model with a Woodin cardinalLinks
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
A saturation property of ideals and weakly compact cardinals.Joji Takahashi - 1986 - Journal of Symbolic Logic 51 (3):513-525.
On measurable limits of compact cardinals.Arthur W. Apter - 1999 - Journal of Symbolic Logic 64 (4):1675-1688.
Abstract logic and set theory. II. large cardinals.Jouko Väänänen - 1982 - Journal of Symbolic Logic 47 (2):335-346.
Exactly controlling the non-supercompact strongly compact cardinals.Arthur W. Apter & Joel David Hamkins - 2003 - Journal of Symbolic Logic 68 (2):669-688.
Two weak consequences of 0#. [REVIEW]M. Gitik, M. Magidor & H. Woodin - 1985 - Journal of Symbolic Logic 50 (3):597 - 603.
Weakly compact cardinals: A combinatorial proof.S. Shelah - 1979 - Journal of Symbolic Logic 44 (4):559-562.
Weakly compact cardinals in models of set theory.Ali Enayat - 1985 - Journal of Symbolic Logic 50 (2):476-486.
Gap forcing: Generalizing the lévy-Solovay theorem.Joel David Hamkins - 1999 - Bulletin of Symbolic Logic 5 (2):264-272.
Analytics
Added to PP
2009-01-28
Downloads
41 (#380,229)
6 months
12 (#202,587)
2009-01-28
Downloads
41 (#380,229)
6 months
12 (#202,587)
Historical graph of downloads
Citations of this work
The strength of choiceless patterns of singular and weakly compact cardinals.Daniel Busche & Ralf Schindler - 2009 - Annals of Pure and Applied Logic 159 (1-2):198-248.
Making all cardinals almost Ramsey.Arthur W. Apter & Peter Koepke - 2008 - Archive for Mathematical Logic 47 (7-8):769-783.
The Consistency Strength of $$\aleph{\omega}$$ and $$\aleph_{{\omega}1}$$ Being Rowbottom Cardinals Without the Axiom of Choice.Arthur W. Apter & Peter Koepke - 2006 - Archive for Mathematical Logic 45 (6):721-737.
Determinacy from strong compactness of ω1.Nam Trang & Trevor M. Wilson - 2021 - Annals of Pure and Applied Logic 172 (6):102944.
On the Consistency Strength of Two Choiceless Cardinal Patterns.Arthur W. Apter - 1999 - Notre Dame Journal of Formal Logic 40 (3):341-345.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-7c76586df8-hc2g5 uwo