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

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: Matheology � 258
Posted: May 4, 2013 4:13 PM
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In article
<a3116fd0-e83e-4b53-a0c2-c175ac0961e1@y5g2000vbg.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 4 Mai, 10:21, Dan <dan.ms.ch...@gmail.com> wrote:
> > > Finite expressions like 1/9 or "0.111111....." cannot occur in the
> > > course of a Cantor-argument.

> >
> > It's a referent to an infinite expression.

>
> Of course, but Cantor's anti-diagonals are no referents but infinte
> expressions.


A Cantor antidiagonal is a rule for creating an infinite sequence of
decimal digits just like "Sum_(n in |N) 1.10^n" is such a rule.
>
> >
> > > 0.1
> > > 0.11
> > > 0.111
> > > ...

> >
> > Your list is as finite as "0.111111 ..." .

>
> That what I have written is finite. It stands for an infinite list.


Just as the finite description of the Cantor anti-diagonal stands for an
infinite sequence of decimal digits defining a real number.

> In order to prove uncountability Cantor's anti-diagonal has to work in
> case of infinite lists (without finite definitions) too.


Note that in order for WM to claim that the reals ARE countable, WM must
prove that there is a list containing all reals (i.e., a surjection from
|N to |R).

But whenever WM, or anyone else, for that matter, ever claims that,
Cantor's diagonal argument proves their claim false.



> There it has
> to be an infinite sequence of digits.


Not unless there also has to be an infinite sequence of reals containing
every single real.

Or does WM claim that |R need be neither countable nor uncountable, but
can be something different from either?
--




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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