Date: Jan 30, 2013 4:31 AM
Author: William Hughes
Subject: Re: Matheology § 203

On Jan 30, 10:22 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 30 Jan., 10:05, William Hughes <wpihug...@gmail.com> wrote:
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> > On Jan 30, 9:57 am, WM <mueck...@rz.fh-augsburg.de> wrote:
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> > > On 30 Jan., 09:40, William Hughes <wpihug...@gmail.com> wrote:
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> > > > On Jan 30, 9:28 am, WM <mueck...@rz.fh-augsburg.de> wrote:
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> > > > > On 30 Jan., 00:16, William Hughes <wpihug...@gmail.com> wrote:
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> > > > > > On Jan 29, 10:11 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
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> > > > > > > On 29 Jan., 21:28, William Hughes <wpihug...@gmail.com> wrote:
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> > > > > > <snip>
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> > > > > > > > It does, however, imply that d in not one
> > > > > > > > of the lines of the list L

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> > > > > > > For that sake you must check all lines. Can you check what is not
> > > > > > > existing?

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> > > > > > So now your claim is
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> > > > > > We can know
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> > > > > >   There does not exist a natural number n
> > > > > >   such that d is equal to the nth line
> > > > > >   of L

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> > > > > > but we cannot know
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> > > > > >   d is not one of the lines of L
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> > > > > You are trying hard to misunderstand!
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> > > > Do you agree
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> > > >  i. There does not exist a natural number n
> > > >     such that d is equal to the nth line
> > > >     of L

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> > > > and
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> > > >  ii.  d is one of the lines of L
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> > > > are mutually exclusive?-
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> > > In existing finite sets this is true. In actually infinite sets it is
> > > not true,

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> > Does
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> >   ii.  d is one of the lines of L
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> > imply
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> >   iii.  there is a natural number n such that
> >         d is equal to the nth line of L

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> In  finite sets or potentially infinite sets this is true, of course.


So we have

For a potentially infinite list L, the
antidiagonal of L is not a line of L.


Does this imply

There is no potentially infinite list
of 0/1 sequences, L, with the property that
any 0/1 sequence, s, is one of the lines
of L.

?