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Nov 13 at 0:09 comment added Lucenaposition What about $L\cap\mathcal{P}(\omega)$? Its cardinality is $\omega_1^L$ which is uncountable assuming $V=L$ but countable assuming a measurable cardinal exists (or $0^\text{#}$ exists)
Mar 23, 2011 at 19:21 answer added P C timeline score: 0
Mar 22, 2011 at 16:53 answer added David E Speyer timeline score: 11
Mar 22, 2011 at 14:51 answer added Ashutosh timeline score: 4
Mar 22, 2011 at 13:54 comment added mathahada Maybe you should change it to "sets for which it is hard to guess their cardinality"? Then there's room for other nice questions like the cardinality of the set of all continuous real valued functions (this example is not difficult, though, but maybe there are others in this vain)
Mar 22, 2011 at 13:40 answer added Keivan Karai timeline score: 10
Mar 22, 2011 at 12:55 answer added Tony Huynh timeline score: 13
Mar 22, 2011 at 12:44 answer added Pete L. Clark timeline score: 11
Mar 22, 2011 at 11:09 comment added Zsbán Ambrus Are you only interested in sets that are obviously infinite? If not, I guess you can give definitions that define sets that are either empty or very large.
Mar 22, 2011 at 10:09 answer added mathahada timeline score: 5
Mar 22, 2011 at 5:17 answer added Syang Chen timeline score: 7
Mar 22, 2011 at 3:30 answer added Daniel Litt timeline score: 23
Mar 22, 2011 at 3:19 answer added fedja timeline score: 20
Mar 22, 2011 at 3:06 answer added ndkrempel timeline score: 4
Mar 22, 2011 at 2:14 answer added Bjørn Kjos-Hanssen timeline score: 14
Mar 22, 2011 at 1:03 answer added Qiaochu Yuan timeline score: 2
Mar 22, 2011 at 0:24 comment added Gerald Edgar Strong measure zero set... mathoverflow.net/questions/48453/…
Mar 21, 2011 at 23:59 history made wiki Post Made Community Wiki by Spencer
Mar 21, 2011 at 23:53 answer added Matthew Kahle timeline score: 18
Mar 21, 2011 at 23:23 history asked Spencer CC BY-SA 2.5