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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: 15,737
Registered: 1/29/05
Re: Matheology § 258
Posted: May 1, 2013 4:18 PM
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On 1 Mai, 18:27, Dan <dan.ms.ch...@gmail.com> wrote:

> They have similar formulas,but behave in different ways .
> You would be correct in affirming that  b_inf = 1/9 is not part of the
> list .


Of course. It is not part of the list, because it cannot be written as
decimal number. Proof: All decimal numbers that can be written in this
form *are already in the list*. And there is no reason why 1/9 should
be missing, if it could be a decimal fraction.

> If it were part of the list , then a_inf would be a well-behaved
> natural number , but it isn't .


It is neither well behaved nor a natural number. The sequence 0.111...
does not exist other than by a finite name or formula.

> Limits only work properly with real numbers, not natural numbers .

Yes, that is true. But (and please read this very attentively!):
Cantor's argument requires the existence of the complete sequence
0.111.... in digits:

You can see this easily here:

The list

0.0
0.1
0.11
0.111
...

when replacing 0 by 1 has an anti-diagonal, the FIS of which are
always in the next line. So the anti-diagonal is not different from
all lines, unless it has an infinite sequence of 1's. But, as we just
saw, this is impossible.

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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