Results 201 to 210 of about 789 (235)

Other Large Cardinals

1997
In Section 32 we studied weakly compact cardinals, which are inaccessible cardinals satisfying the weak compactness theorem for the infinitary language L k,ω. If we remove the restriction on the size of sets of sentences in the model theoretic characterization of weakly compact cardinals, we obtain a considerably stronger notion of large cardinals ...
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Large Cardinals from Determinacy

2009
This chapter gives an account of Woodin’s general technique for deriving large cardinal strength from determinacy hypotheses. These results appear here for the first time and the treatment is self-contained.
Peter Koellner, W. Hugh Woodin
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Combinatorics on large cardinals

Journal of Symbolic Logic, 1992
Our framework is ZFC, and we view cardinals as initial ordinals. Baumgartner ([Bal] and [Ba2]) studied properties of large cardinals by considering these properties as properties of normal ideals and not as properties of cardinals alone. In this paper we study these combinatorial properties by defining operations which take as input one or more ideals ...
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Small Definably-large Cardinals

2006
We study the definably-Mahlo, definably-weakly-compact, and the definably-indescribable cardinals, which are the definable versions of, respectively, Mahlo, weakly-compact, and indescribable cardinals. We study their strength as large cardinals and we show that the relationship between them is almost the same as the relationship between Mahlo, weakly ...
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Large cardinals

2022
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Large Cardinals

1974
W. Wistar Comfort, Stylianos Negrepontis
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Superstrong and other large cardinals are never Laver indestructible

Archive for Mathematical Logic, 2015
Joan Bagaria, Joel David Hamkins
exaly  

Large large cardinals

1973
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Large cardinals imply that every reasonably definable set of reals is lebesgue measurable

Israel Journal of Mathematics, 1990
Saharon Shelah
exaly  

Improving Outcomes for Patients With Diffuse Large B-Cell Lymphoma

Ca-A Cancer Journal for Clinicians, 2010
Julie M Vose
exaly