Virgil
Posts:
8,833
Registered:
1/6/11


Re: Matheology � 295
Posted:
Jun 27, 2013 2:29 PM


In article <fd67f0b137034dba87eef2d61582958d@googlegroups.com>, mueckenh@rz.fhaugsburg.de wrote:
> 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. 

