[FOM] Height and Width of the universe

Ilya Tsindlekht eilya497 at 013.net
Mon Jan 21 01:16:06 EST 2008

On Sun, Jan 20, 2008 at 12:09:08PM -0500, joeshipman at aol.com wrote:
> Here are two theorems of the form "If the Universe is tall enough, it 
> can't be too narrow."
> If there is a measurable cardinal, there is a nonconstructible set.
> If there is an inaccessible cardinal, there is a countable transitive 
> model of ZFC.
Does this relate Universe height to its width? What this theorem really
says is that aleph_1-complete ulnrafilter cannot be constructive.

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