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Topic: unable to prove?
Replies: 28   Last Post: Sep 18, 2012 3:54 PM

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Frederick Williams

Posts: 2,164
Registered: 10/4/10
Re: unable to prove?
Posted: Aug 28, 2012 10:39 AM
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dilettante wrote:

>
> But what do the axioms of set theory have to say about the power set of
> the reals? Is that a set under the axioms, not a set, or are the axioms
> agnostic on the matter?


Yes, it's a set. It is not known which aleph is its cardinality.

(For this "the axioms" may be the ZF axioms or the NBG axioms.)

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