Date: Jan 30, 2013 4:14 PM
Author: William Hughes
Subject: Re: Matheology § 203

On Jan 30, 6:06 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 30 Jan., 12:32, William Hughes <wpihug...@gmail.com> wrote:
>

> > On Jan 30, 12:21 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > On 30 Jan., 12:02, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > Summary.  We have agreed that
>
> > > > For a potentially infinite list L, the
> > > > antidiagonal of L is not a line of L.

>
> > Do you agree with the statement
>
> > For a potentially infinite list, L,
> > of potentially infinite 0/1 sequences
> > the antidiagonal of L is not a line
> > of L

>
> Yes, of course. We have a collection of which we can keep a general
> overview. And in finite sets (potential infinity is nothing but finity
> without an upper threshold) "for every" means the same as "for all".
> There is no place to hide.
>


So now we have

For a potentially infinite list, L,
of potentially infinite 0/1 sequences
the antidiagonal of L is not a line
of L

Can a potentially infinite list, L,
of potentially infinite 0/1 sequences
have the property that every
potentially infinite 0/1 sequence
is a line of L?