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Mar 17, 2014 at 0:19 comment added Asaf Karagila @Bjørn: The set of points in $[0,1]$ which are not limit points of $[0,1]$ is empty. Last I recall, empty sets are at most countable. So it's not a counterexample.
Mar 16, 2014 at 23:40 answer added Santi Spadaro timeline score: 5
Mar 16, 2014 at 19:02 history asked Garabed Gulbenkian CC BY-SA 3.0