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Talk:Ineffable cardinal

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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.
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It would be useful to have this article give the consistency strength of an ineffable cardinal relative to other large cardinals.
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Can someone please disambiguate "homogeneous" in this article? I can only guess what it means in this context.
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Norman314
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linas
14:57, 18 July 2006 (UTC)
JRSpriggs
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20:28, 31 January 2010 (UTC)
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