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Alternative characterizations edit
I have heard a characterization of ineffable cardinals in terms of stationary sets, that looks kind of like the diamond principle but with the quantifiers reversed. I don't remember the details though. Norman314 (talk)
Consistency strength edit
It would be useful to have this article give the consistency strength of an ineffable cardinal relative to other large cardinals. Norman314 (talk)
Homogenous edit
Can someone please disambiguate "homogeneous" in this article? I can only guess what it means in this context. linas 14:57, 18 July 2006 (UTC)