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"

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