Date: Feb 12, 2013 3:55 AM
Author: Virgil
Subject: Re: Matheology � 222 Back to the roots

In article 
<1e0deeb6-09db-46a2-8806-47123450dc96@w4g2000vbk.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 11 Feb., 22:47, William Hughes <wpihug...@gmail.com> wrote:
> > You do not see a contradiction in concluding
> > both
> >
> >    everything that is in some line
> >    of the list is in one line of the list.
> >
> > and
> >
> >    there does not exist a natural number m
> >    such that the potentially infinite sequence
> >    d is equal to the potentially infinite
> >    sequence given by the mth line.
> >

> Why do you distract the attention of the reader?
> Of course I see a contradiction.
> This contradiction has its origin in the assumption that a potentially
> infinite sequence is something that could be complete enough to be in
> a line or elsewhere.


If the decimal expansion for 1/3 cannot be actually infinite, it can
only be because there is some FISON which indexes all its digits.
>
> Everybody can see it clearly here:
>
> 1
> 1, 2
> 1, 2, 3
> ...
>
> This list has everything that is in the diagonal in a line too. But
> nowhere we have a completed diagonal


As soon as you include the "...", you have completed it.
At least if the meaning of the "..." is not ambiguous,
which in the above it is not.
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