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Topic: Matheology � 258
Replies: 104   Last Post: May 5, 2013 2:26 PM

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mueckenh@rz.fh-augsburg.de

Posts: 14,614
Registered: 1/29/05
Re: Matheology § 258
Posted: Apr 29, 2013 5:07 PM
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On 29 Apr., 22:22, Virgil <vir...@ligriv.com> wrote:
> In article
> <b531ab82-855e-4e8a-b8fe-7ba1a1a07...@b3g2000vbo.googlegroups.com>,
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 28 Apr., 23:22, Dan <dan.ms.ch...@gmail.com> wrote:
>
> > > Give me a list of reals and I shall give you a number not on the list.
>
> > No, you will fail.
>
> The only proof that he must fail wold be by producing a list of numbers
> which contains all real numbers.


A real number can be listed by a terminating decimal, by a periodic
decimal, or by a formula supplying each of its decimals.

It is not possible to list irrationals by writing their decimals.
Therefore it is not possible to create irrational diagonals of Cantor-
lists by writing their decimals.

For every rationals-complete list, we have:

forall n in |N : (d_1, ..., d_n) are the first n digits of infinitely
many numbers in the list.

Regards, WM



Date Subject Author
4/29/13
Read Re: Matheology � 258
Virgil
4/29/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/29/13
Read Re: Matheology � 258
Virgil
4/30/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
4/30/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/30/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
4/30/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/30/13
Read Re: Matheology � 258
Virgil
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: WMytheologist � 258
Virgil
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: WM's ignorance self-revealed!
Virgil
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
JT
5/2/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/2/13
Read Re: Matheology § 258
Ed Prochak
5/2/13
Read Re: Matheology � 666
Virgil
5/2/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/2/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/2/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/2/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology � 666
Virgil
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/5/13
Read Re: Matheology § 258
LudovicoVan
5/5/13
Read Re: Matheology § 258
fom
5/5/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/5/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/5/13
Read Re: Matheology � 258
Virgil
5/5/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology § 258
Ralf Bader
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/5/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/5/13
Read Re: Matheology � 258
Virgil
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
fom
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/4/13
Read Re: WMytheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology § 258
trj
5/4/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology § 258
fom
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
fom
5/3/13
Read Re: Matheology § 258
gus gassmann
5/3/13
Read Re: Matheology � 258
Virgil
5/2/13
Read Re: WMytheology � 777
Virgil
5/1/13
Read Re: WMYtheology � 258
Virgil
5/1/13
Read Re: WMYtheology § 258
JT
5/1/13
Read Re: WMYtheology � 258
Virgil
5/1/13
Read Re: WMYtheology § 258
JT
5/1/13
Read Re: Matheology § 258
Bergholt Stuttley Johnson
5/1/13
Read Re: Matheology § 258
rt servo
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: WMytheology � 258
Virgil
5/1/13
Read Re: WMytheology � 258
Virgil
5/1/13
Read Re: Matheology � 258
Virgil
5/1/13
Read Re: Matheology � 258
Virgil
5/1/13
Read Re: Matheology � 258
Virgil
4/30/13
Read Re: Matheology � 258
Virgil
4/30/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/30/13
Read Re: Matheology � 258
Virgil
4/29/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
4/29/13
Read Re: Matheology � 258
Virgil

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