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Topic: Finitely definable reals.
Replies: 52   Last Post: Jan 18, 2013 2:37 PM

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forbisgaryg@gmail.com

Posts: 43
Registered: 11/26/12
Re: Finitely definable reals.
Posted: Jan 14, 2013 8:23 AM
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On Saturday, January 12, 2013 12:24:46 AM UTC-8, WM wrote:
> On 12 Jan., 02:14, Virgil <vir...@ligriv.com> wrote:
>
>
>

> > > Cantor managed to prove that there are more than countably many finite
>
> > > binary strings possible. Remember, the part behind a_nn of a_n is not
>
> > > relevant for his proof.
>
> >
>
> > Quite so, but that in no way weakens his proof.
>
>
>
> It shows a self-contradiction by the fact that there must be an
>
> antidiagonal that from every entry differs at a finite place. But if
>
> the list is complete with respect to all finite binary strings, this
>
> is obviously impossible.
>
>
>
> Regards, WM


I've been thinking about this assertion of your and beg to differ.
The decimal expansion of 1/3 only differs from all other reals at
the infinite. It takes the infinite to make it 1/3. When one multiplies
a number by 10 one moves the decimal place one position to the right.
Only the infinite decimal expansion will do to restore the fraction.
Any finite expansion will have a delta from 1/3.


Date Subject Author
1/11/13
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Zaljohar@gmail.com
1/11/13
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Aatu Koskensilta
1/11/13
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mueckenh@rz.fh-augsburg.de
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Zaljohar@gmail.com
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mueckenh@rz.fh-augsburg.de
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Zaljohar@gmail.com
1/11/13
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mueckenh@rz.fh-augsburg.de
1/11/13
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Virgil
1/11/13
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Virgil
1/12/13
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JT
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JT
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JT
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mueckenh@rz.fh-augsburg.de
1/12/13
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Virgil
1/12/13
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Virgil
1/11/13
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Virgil
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mueckenh@rz.fh-augsburg.de
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Virgil
1/12/13
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mueckenh@rz.fh-augsburg.de
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Virgil
1/14/13
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forbisgaryg@gmail.com
1/14/13
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mueckenh@rz.fh-augsburg.de
1/14/13
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Virgil
1/15/13
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mueckenh@rz.fh-augsburg.de
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forbisgaryg@gmail.com
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mueckenh@rz.fh-augsburg.de
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mueckenh@rz.fh-augsburg.de
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Virgil
1/16/13
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mueckenh@rz.fh-augsburg.de
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Virgil
1/17/13
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mueckenh@rz.fh-augsburg.de
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Virgil
1/18/13
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mueckenh@rz.fh-augsburg.de
1/18/13
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Virgil
1/15/13
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Virgil
1/16/13
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mueckenh@rz.fh-augsburg.de
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Virgil
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Virgil
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1/13/13
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DBatchelo1
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mueckenh@rz.fh-augsburg.de
1/14/13
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DBatchelo1
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mueckenh@rz.fh-augsburg.de
1/14/13
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Virgil
1/15/13
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DBatchelo1
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mueckenh@rz.fh-augsburg.de
1/15/13
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Virgil
1/16/13
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mueckenh@rz.fh-augsburg.de
1/16/13
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Virgil
1/17/13
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mueckenh@rz.fh-augsburg.de
1/17/13
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Virgil
1/15/13
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Virgil

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