Date: Nov 11, 2017 2:10 PM
Subject: Re: Why do we need those real non-constructible numbers?
Am Samstag, 11. November 2017 17:51:15 UTC+1 schrieb Dan Christensen:
> On Saturday, November 11, 2017 at 4:32:09 AM UTC-5, WM wrote:
> > Am Freitag, 10. November 2017 19:50:36 UTC+1 schrieb Dan Christensen:
> > > On Friday, November 10, 2017 at 9:53:06 AM UTC-5, WM wrote:
> > > >
> > > > Therefore we use only FOL and the axioms of ZF and find that they make ZF uncountable without refering to anything else (that others may call a model but that you don't know and that threfore should not be used when talking to you).
> > >
> > > To prove that ZFC is inconsistent, you must be able to both prove and disprove the same theorem using only FOL and the axioms ZFC.
> > No. My share is done, showing that the power set of the set defined in Axiom VII is uncountable.
> It is a well known result that the power set of any infinite set is uncountable.
In every model of ZF.
> > The other part has been settled by Skolem already.
So said Zermelo too, not with your language of the gutter though.