Date: Jan 12, 2013 4:58 PM
Author: Virgil
Subject: Re: Matheology � 191
In article

<f62302b5-c3c6-4b54-8437-6f9d7bc00006@4g2000yqv.googlegroups.com>,

WM <mueckenh@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...

>

> 0

> 1, 2

> 3, 4, 5, 6

> 7, ...

>

> This Binary Tree contains aleph_0 * aleph_0 = aleph_0 paths.

Aleph_0 * aleph_0 = aleph_0 but 2 ^ aleph_0 > aleph_0, and that is the

number of paths.

>

> If there were further discernible paths, someone should be able to

> discern one of them. But since all possible combinations of nodes

> (including all possible diagonals and anti-diagonals of possible

> Cantor-lists) that can occur in the mathematical discourse already are

> present, a human being cannot discern anything additional.

But there are still more of them there, just inaccessible.

>

> Matheologians may claim that God can discern more. But God is not

> present in mathematics. Mathematicians have no pipeline to God, as

> Brouwer put it. At least God does never reveal mathematical secrets.

> Or has any reader ever heard God tell a mathematical secret?

>

> Regards, WM

If a god can discern more, then more exists, even if it is beyond our

view.

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