Date: Dec 7, 2012 12:52 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 170
On 6 Dez., 21:34, Virgil <vir...@ligriv.com> wrote:

> In article

> <3415af00-09f4-42d3-9fee-938eee11c...@4g2000yqv.googlegroups.com>,

>

>

>

>

>

> WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 6 Dez., 11:36, Virgil <vir...@ligriv.com> wrote:

> > > In article

> > > <fb9f656b-8ae6-4e38-87d1-33e24c7d9...@a2g2000yqh.googlegroups.com>,

>

> > > WM <mueck...@rz.fh-augsburg.de> wrote:

> > > > On 6 Dez., 10:36, Virgil <vir...@ligriv.com> wrote:

> > > > > In article

> > > > > <cc5c24a4-0ec4-4f48-8b90-9463aed1b...@o6g2000yql.googlegroups.com>,

>

> > > > > WM <mueck...@rz.fh-augsburg.de> wrote:

> > > > > > On 5 Dez., 19:48, Virgil <vir...@ligriv.com> wrote:

>

> > > > > > > WM has already adequately demonstrated to the world again and again

> > > > > > > that

> > > > > > > he does not speak for mathematicians

>

> > > > > > Is aleph_0 a quantity (i.e. possibly in trichotomy with other

> > > > > > quantities) or not?

>

> > > > > Not to those who, as in the case of WM, deny that it can be properly

> > > > > defined as a cardinality or ordinality.

>

> > > > > But not everyone is so negatively oriented towards such things as

> > > > > general definitions of cardinality and ordinality as WM is.

> > > > > --

>

> > > > So, to you it is a quantity? Then we can put the question whether the

> > > > lengths of the sides of my triangle can be in trichotomy. There is an

> > > > angle of 45 and its sides have length 1*aleph_0 = aleph_0 and

> > > > sqrt(2)*aleph_0 = aleph_0. Now my question: Is the third side aleph_0

> > > > or less or larger?

>

> > > Until you can show that those alleged "sides" have endpoints other that

> > > that alleged common point, you question assumes conditions contrary to

> > > fact.

>

> > I can show that the endpoints are closer to the common point than the

> > unit length time 2^aleph_0.

>

> Actually, you cannot, or at least have not, shown that they exist at all.

I cannot show it. And I believe that they do not exist at all. But a

matheologian must assume that they exist.

>

> > If we can surpass them, walking along the

> > sides of the angle, they must be somewhere.

>

> If you could 'surpass' them, they would not be endless sequences, which

> you have already claimed them to be.

Correct. That is a valuable recognition! But an infinity that is less

than a larger infinity forces to believe in such crap.

Regards, WM