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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: 16,178
Registered: 1/29/05
Re: Matheology § 258
Posted: May 5, 2013 2:34 AM
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On 4 Mai, 22:45, Virgil <vir...@ligriv.com> wrote:
> In article
> <06206984-5944-49e6-9ba6-9f795516c...@p14g2000vbn.googlegroups.com>,
>
>
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 4 Mai, 18:30, Dan <dan.ms.ch...@gmail.com> wrote:
> > > > > Either they're both relevant to Cantor's argument, or they're both
> > > > > irrelevant .

>
> > > > Cantor's argument
> IS valid!
>

> > > Why should it be considered important under the definition of
> > > equality? If they have at least one different digit , THEY'RE
> > > DIFFERENT.

>
> > But there always only finitely many with at least one different digit
> > whereas there are always infinitely many with none different digit.

>
> Name one!


A very good question. It is exactly this question that has turned
modern mathematics into matheology.

For every n, I can name many larger numbers.

> Thus (reals countable) <==> (reals listable).
>
> But Cantor has shown that there is no complete list of real possible as
> every listing of reals necessarily omits some reals.


And counterfactually he has assumed that there is a complete list of
natural numbers.
>
> > My list is constructed such that all possible squences of digits 1 are
> > already in the list. No longer sequence is possible (otherwise it
> > would be in the list) and a shorter sequence cannot support Cantor's
> > claim.

>
> Unless your list claims to list all reals, it has no effect on the
> validity of the Cantor diagonal argument, which remains valid in spite
> of it.


It is true: If the naturals are complete somewhere, the reals cannot
be complete there. Alas this theorem is void since the naturals cannot
be complete anywhere.

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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