Date: Jan 23, 2013 8:02 AM
Subject: Re: ZFC and God
On 23 Jan., 13:57, Aatu Koskensilta <aatu.koskensi...@uta.fi> wrote:
> WM <mueck...@rz.fh-augsburg.de> writes:
> > On 23 Jan., 13:46, Aatu Koskensilta <aatu.koskensi...@uta.fi> wrote:
> >> To say the union of all FISs is finite is to say there is a natural
> >> m such that n < m for all naturals n.
> > No.
> What does it mean to say the union of all FISs is finite, then?
It is not larger than any FIS. There is no fixed number as
cardinality. We simply use oo.
Have you constructed in your head the Binary Tree that only contains
all finite paths? Have you recognized the difference to the Binary
Tree that also contains the infinite paths? Have you obtained what
nodes make up the difference?
(Remember, Cantor's argument works by node/digits only!)