Re: Largest Set in ZFC?
- From: reasterly@xxxxxxxxx
- Date: Wed, 5 Mar 2008 20:41:20 -0800 (PST)
On Mar 5, 10:24 am, MoeBlee <jazzm...@xxxxxxxxxxx> wrote:
On Mar 5, 10:20 am, MoeBlee <jazzm...@xxxxxxxxxxx> wrote:
The Powerset axiom says all the subsets of X exist,
even the "inseparable" ones.
I don't know what you mean by "inseparable' in this context. Anyway,
the power set axiom makes no mention of any such thing as
'inseparable'
Oops, I forgot to mention that the power set axiom doesn't say the
subsets exists, but rather that the set of all subsets exists. I.e.,
whatever subsets of S do exist, there is the set of all of them.
Does that mean the powerset of X only contains subsets
of X than can be defined using the axiom schema of separation?
If so, the powerset of X must be countable.
Russell
- 2 many 2 count
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