Date: Jun 27, 2013 2:29 PM
Subject: Re: Matheology � 295
In article <email@example.com>,
> On Thursday, 27 June 2013 02:37:17 UTC+2, Zeit Geist wrote:
> > You can't build the infinite from a finite set of finite things.
> Of course I can, and many have done it before. The sequence 1, 2, 3, ... is
> infinite by induction.
But that ",,," makes it not a finite set of finite things.
> > AoI accomplishes the construction of an Infinite set. And yes, "Oh, oh,
> > it's magic"
> No. The magic only came into play when a "cardinal number" was attached to
> that set. aleph_0 is not derived from any axiom.
Without an axiom of infinity in ZF, there is no provable |N or provable
aleph_0, but with that axiom, in ZF one gets both.
> Here an unreasonable limit
It is purely WM's unreason that is at issue here.
And he has a superabundance of it.