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

>

> > > > 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

>

> 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.

?