Date: Feb 18, 2013 3:58 PM
Author: Virgil
Subject: Re: Matheology � 222 Back to the roots

In article 
<f8f4c024-35d7-46da-8831-a89f04fc29e1@h17g2000yqe.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 17 Feb., 23:26, William Hughes <wpihug...@gmail.com> wrote:
> > On Feb 17, 10:02 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> >

> > > There is no d!
> >
> > There is no potentially infinite sequence,
> > x, such that the nth FIS of x consists of
> > n 1's
> >

> There is every FIS of the diagonal - up to every n.
> Same holds for the lines of the list


If there is no list, but only a non-x then there is no "diagonal" ether.
> >
> > x is not the diagonal of the potentially
> > infinite list
> >
> > 1000...
> > 11000...
> > 111000...
> > ...
> >
> > ?!?

>
> There is for every n a line in the list
> 1
> 12
> 123
> ...
> 123...n
> ...
>
> such that this line is coFIS with the diagonal d_1, ..., d_n.


The "diagonal" of what?
Normally for your list, one would have d_1 = 1, d_2 = 12, d_3 = 123,
etc. in which case,
d_1, ..., d_n = 1,12,123,...,123...n.

and then no line after the first will be coFIS with any such sequence.
>
> Do you know of an n that contradicts this claim?


All except n - 1 contradict it.
>
> There is nothing more in the diagonal. Again you assert an actually
> infinite d. That is an error.


Only inside the walls of Wolkenmuekenheim.,
--