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Exactly Controlling the Non-Supercompact Strongly Compact Cardinals

โœ Scribed by Arthur W. Apter and Joel David Hamkins


Book ID
124980243
Publisher
Association for Symbolic Logic
Year
2003
Tongue
English
Weight
493 KB
Volume
68
Category
Article
ISSN
0022-4812

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๐Ÿ“œ SIMILAR VOLUMES


On the least strongly compact cardinal
โœ Arthur W. Apter ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› The Hebrew University Magnes Press ๐ŸŒ English โš– 457 KB
More on the Least Strongly Compact Cardi
โœ Arthur W. Apter ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 229 KB

## Abstract We show that it is consistent, relative to a supercompact limit of supercompact cardinals, for the least strongly compact cardinal k to be both the least measurable cardinal and to be > 2^k^ supercompact.

How large is the first strongly compact
โœ Menachem Magidor ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science โš– 764 KB

It is proved that ff strongly compact cardinals ale consistent, then it is consistent that the fb~t such cardinal is the first measurable. On the othat hand, if it is consistent to asmlne the existence of supcrcompact cardinal, then it is consistent to assume that it is the t~trst strongly compact c