Date: Dec 5, 2012 7:47 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 170

On 5 Dez., 08:05, Virgil <vir...@ligriv.com> wrote:

> > This set has, like many mathematical entities, a geometrical and an
> > alytical property:

>
> > 0.1
> > 0.11
> > 0.111
> >  ...
> > It is a triangle and it is a sequence too.

>
> While parts of it can be triangular by reason of having 3 finite sides,
> the whole of it does not have a third finite side so is not a triangle.
>
> NOte that to be a triangle, it would also have to have three vertices,
> which is not the case.


In mathematics a triangle is defined by one angle and its two sides.
If the latter are aleph_0, then the third must be a completed infinity
too. As it is not, some elements of this this triangle are not part of
mathematics. What about the angle of pi/4? It is part of mathematics.
Now a person with some intelligence could infer the rest. Not you, of
course.

Regards, WM