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Re: FAILURE OF THE DISTINGUISHABILITY ARGUMENT. THE TRIUMPH OF
CANTOR: THE REALS ARE UNCOUNTABLE!
Posted:
Jan 9, 2013 4:26 PM
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On 9 Jan., 21:45, Virgil <vir...@ligriv.com> wrote:
> But there are always more subsets of a set than members of that set, so
> the set of all subsets of a countably infinite set like N will be of
> greater cardinality than N itself.
> --
But it does not exist - like the power set of the set of all sets.
Yes, there is an axiom. But it is of same value as the axiom that
there is a set of all sets or the axiom that there is a set of natural
numbers with cardinality 10 and sum 10.
Regards, WM
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