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Dec 20, 2012 at 22:19 comment added Joel David Hamkins Correction: the inconsistent version of hypercompact cardinals are now called excessively hypercompact. So Norman has proved in a section of his dissertation that there are no excessively hypercompact cardinals. Meanwhile, what are now called the hypercompact cardinals, after a correction in light of Norman's observation, have a consistency strength below the Woodin-for-supercompact cardinals, which he has proved are the same as the Vopenka cardinals.
Dec 19, 2012 at 15:04 comment added Joel David Hamkins We took the site down while we're working on some security issues.
Dec 19, 2012 at 3:14 comment added David Roberts @Andres - yes, it seems to have been the target of some spammers or similar.
Dec 19, 2012 at 1:08 comment added Andrés E. Caicedo Hmm... Cantor's attic seems to be down.
Dec 19, 2012 at 1:01 comment added Joel David Hamkins And for another example of this type, recently my student Norman Perlmutter has refuted the existence of what have been called hypercompact cardinals (but which we now call them strongly hypercompact cardinals).
Dec 19, 2012 at 0:59 comment added Joel David Hamkins I would think so, yes.
Dec 19, 2012 at 0:54 comment added Andrés E. Caicedo In this vein, do Reinhardt cardinals qualify?
Dec 19, 2012 at 0:29 history edited Joel David Hamkins CC BY-SA 3.0
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Dec 19, 2012 at 0:19 history edited Joel David Hamkins CC BY-SA 3.0
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Dec 19, 2012 at 0:14 history answered Joel David Hamkins CC BY-SA 3.0