Date: Feb 7, 2013 3:16 AM
Author: Virgil
Subject: Re: Matheology � 222

In article 
<cc06eaeb-52e9-4dfa-9ab5-b7f9c794dbda@fw24g2000vbb.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 7 Feb., 08:39, Virgil <vir...@ligriv.com> wrote:
> > In article
> > <bbdf841d-effe-48c8-b938-0825f9e82...@fv9g2000vbb.googlegroups.com>,
> >
> >  WM <mueck...@rz.fh-augsburg.de> wrote:

> > > Matheology § 222   Back to the roots
> >
> > > Consider a Cantor-list with entries a_n and anti-diagonal d:
> >
> > > For every n: (a_n1, a_n2, ..., a_nn) =/= (d_1, d_2, ..., d_n).
> > > For every n: (a_n1, a_n2, ..., a_nn) is terminating.
> > > For every n: (d_1, d_2, ..., d_n) is terminating.

> >
> >  Even if there is  last a_n and  a last a_nn, n, the d_m's can still go
> > on without end..
> >
> >
> >

> > > For all n: (a_n1, a_n2, ..., a_nn) =/= (d_1, d_2, ..., d_n).
> > > For all n: (a_n1, a_n2, ..., a_nn) is terminating.
> > > For all n: (d_1, d_2, ..., d_n) is *not* terminating.

> >
> > While (d_1, d_2, ..., d_n) may be terminating,
> > d_1, d_2, ..., d_n, ... need *not* ever terminate.

>
> The diagonal argument includes merely all (d_1, d_2, ..., d_n).


What WM's version of an argument is limited to is irrelevant outside
WMYTHEOLOGY.

The diagonal of Cantor's diagonal argument is not limited at all.
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