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Nov 19, 2017 at 14:11 comment added Andrés E. Caicedo I think this is too naive to be useful. If you adopt $\mathsf{GCH}$ because of how it "simplifies mathematics", it would be desirable that you explain how to reconcile this with the many known examples of classification problems that are much harder under this assumption than under natural alternatives.
Nov 19, 2017 at 12:10 history edited Glorfindel CC BY-SA 3.0
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Feb 8, 2010 at 13:58 comment added Joel David Hamkins Your last sentence works even without GCH. I think you mean to say |A| \leq 2^\aleph_i instead.
Feb 8, 2010 at 10:38 history answered Christoph-Simon Senjak CC BY-SA 2.5