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Topic: Matheology § 154: Consistency Proof!
Replies: 101   Last Post: Nov 25, 2012 5:08 PM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 154: Consistency Proof!
Posted: Nov 22, 2012 2:33 AM

On 21 Nov., 22:01, Virgil <vir...@ligriv.com> wrote:
> In article
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > And it is as easy to see that in set theory the set of indices left of
> > the decimal point

> > > >> > 0_2 1_1 .
> > > >> > 0_2 . 1_1
> > > >> > 0_4 1_3 0_2 . 1_1
> > > >> > 0_4 1_3 . 0_2 1_1
> > > >> > 0_6 1_5 0_4 1_3 . 0_2 1_1
> > > >> > 0_6 1_5 0_4 . 1_3 0_2 1_1
> > > >> > 0_8 1_7 0_6 1_5 0_4 . 1_3 0_2 1_1
> > > >> > 0_8 1_7 0_6 1_5 . 0_4 1_3 0_2 1_1
> > > >> > ...

> > has limit { }.
>
> While I see a point between other expressions , I do not see anything
> that could be properly interpreted as  a DECIMAL point.

This point is the decimal point.
>
> Or does WM regard such things as 1_3 and 1_5 as decimal digits?

The digit here is 1, the indexes are 3 and 5.
>
> And the limit of number of "positions"  would be infinite on either side
> of that point.

In mathematics this is true. In set theory it is false.

Regards, WM

Date Subject Author
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 Vurgil
11/18/12 William Hughes
11/18/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
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11/19/12 William Hughes
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11/19/12 Vurgil
11/20/12 mueckenh@rz.fh-augsburg.de
11/20/12 Virgil
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
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11/21/12 William Hughes
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11/22/12 William Hughes
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11/22/12 William Hughes
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11/22/12 William Hughes
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11/23/12 Virgil
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11/23/12 Virgil
11/23/12 William Hughes
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11/23/12 William Hughes
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11/23/12 William Hughes
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11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
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11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
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