Date: Jun 14, 2013 3:07 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Matheology § 288



Matheology § 288

Here are the differences in the premises which lead to differences in the results od mathematics and matheology.

Matheology requires:

1) The Binary Tree

0.
/ \
0 1
/ \ / \
0 10 1
...

containing all rational numbers of the unit interval also contains all irrational numbers. If the rationals are written in the usual manner this is not the case.

2) The triangle construcuted in 3-symmetry is equilateral.

d
dc
dac
dbbc
...

If however, the triangle is constructed such that alsway one and the same side is expanded, then it loses 3-symmetry "in the limit".

a
bb
ccc
...

3) For the union of the sequence of sets
U({1}, {1, 2}, {1, 2, 3} , ..., {1, 2, 3, ..., n}} = {1, 2, 3, ..., n}
equality holds but not in the limit.

In mathematics all these premises lead to different results:

1) The Binary Tree containing all rational numbers of the unit interval does not contain any irrational number.

2) The triangle construcuted in 3-symmetry is and always remains equilateral.

3) For the union of the sequence of unions of preceding sets equality holds in the limit too.

Regards, WM