Date: Jan 12, 2013 5:35 PM
Author: Virgil
Subject: Re: Matheology � 191

In article 
<970bf2d3-90e8-482e-b743-130d9a6c7527@k6g2000yqf.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 12 Jan., 12:45, Zuhair <zaljo...@gmail.com> wrote:
> > On Jan 12, 11:56 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> >

> > > Matheology § 191
> >
> > > The complete infinite Binary Tree can be constructed by first
> > > constructing all aleph_0 finite paths and then appending to each path
> > > all aleph_0 finiteley definable tails from 000... to 111...

> >
> > No it cannot be constructed in that manner, simply because it would no
> > longer be a BINARY tree.
> >

> > >         0
> > >       1, 2
> > >   3, 4, 5, 6
> > > 7, ...

> >
> > > This Binary Tree contains aleph_0 * aleph_0 = aleph_0 paths.
> >
> > The complete Binary tree contains 2^aleph_0 paths and 2^aleph_0 paths
> > is strictly greater than aleph_0, this is pretty much standard stuff

>
> Do you know the standard stuff of astrology? And astrology is by
> magnitudes more scientific than the belief in numbers that not even
> God could discern


WM now tries to speak for God? Though WM may well know a good deal more
of astrology that we do.
>
> Try to discern a real number from the Binary Tree that I described
> above.


I am not sure that your tree contains any real numbers.
>
> > that most mathematicians actually all leading mathematicians of the
> > last century and this one hold to be true.

>
> Again you are wrong.


> And even one of the greatest, namely David Hilbert, said in a lucid
> moment:
> "The infinite is nowhere realized; neither is it present in nature
> nor admissible as the foundation of our intellectual/reasonable
> thinking - a remarkable harmony between being and thinking."


Hilbert also said: "No one will drive us from the paradise which Cantor
created for us"
--