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Topic: Matheology § 191
Replies: 91   Last Post: Jan 18, 2013 2:44 AM

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Virgil

Posts: 6,972
Registered: 1/6/11
Re: Matheology � 191
Posted: Jan 13, 2013 3:56 PM
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In article
<3c651dfd-5d3d-4464-bb03-fea1c590207b@10g2000yqk.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 13 Jan., 13:15, Zuhair <zaljo...@gmail.com> wrote:
>

> > What mean nothing more than saying that we have Countably many FINITE
> > paths

>
> Yes, and it is not intuitive nor needs it any formalization to
> recognize that everything that happens in Cantor-lists happens withing
> finite paths (or sequences of digits). It is absoluteley impossible
> that something happens elsewhere! And if a list contains all possible
> finite paths (which is possible as they are countable) then Cantor's
> "proof" proves the uncountability of a countable set.


Not unless the anti-diagonal is finite, which it can't be, since those
finite "paths" being listed do not, and can not, have a finite upper
bound on their lengths, so there cannot be an finite upper bound on the
anti-diagonal's length.

The obvious flaw in WM's argument shows how poorly he grasps what is
really going on.
>
> Note again: everything that happens in a Cantor-list happens withing
> finite paths or finite initial segments of the anti-diagonal.


But there is still no finite upper bound on the segments of the
anti-diagonal required. Thus even with all finite entries to the list
its anti-diagonal must be infinite.
>
> And please do me a favour and stop parroting of uncountable sets
> unless you can explain how something can happen *after* all finite
> initial segments.


I will continue to speak of uncountable sets until you can show that the
set of all infinite binary sequences ( or functions from |N to {01}) can
be listed with no anti-diagonal missing.

And as you cannot do this, you lose!
--




Date Subject Author
1/12/13
Read Matheology § 191
mueckenh@rz.fh-augsburg.de
1/12/13
Read Re: Matheology § 191
Zaljohar@gmail.com
1/12/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/12/13
Read Re: Matheology � 191
Virgil
1/12/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/12/13
Read Re: Matheology § 191
Zaljohar@gmail.com
1/12/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/12/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
Zaljohar@gmail.com
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/14/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/14/13
Read Re: Matheology � 191
Virgil
1/15/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/15/13
Read Re: Matheology � 191
Virgil
1/15/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/15/13
Read Re: WMatheology � 191
Virgil
1/15/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/15/13
Read Re: WMatheology � 191
Virgil
1/15/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/15/13
Read Re: WMatheology � 191
Virgil
1/16/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/16/13
Read Re: WMatheology � 191
Virgil
1/16/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/16/13
Read Re: WMatheology � 191
Virgil
1/16/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/16/13
Read Re: WMatheology � 191
Virgil
1/17/13
Read Re: WMatheology � 191
Ralf Bader
1/17/13
Read Re: WMatheology §Organization: Anon
Virgil
1/17/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/17/13
Read Re: WMatheology § 191
fom
1/17/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/17/13
Read Re: WMatheology § 191
fom
1/17/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/17/13
Read Re: WMatheology � 191
Virgil
1/18/13
Read Re: WMatheology § 191
Ralf Bader
1/18/13
Read Re: WMatheology § 191
Virgil
1/17/13
Read Re: WMatheology S 191
Jesse F. Hughes
1/17/13
Read Re: WMatheology S 191
mueckenh@rz.fh-augsburg.de
1/17/13
Read Re: WMatheology S 191
Jesse F. Hughes
1/17/13
Read Re: WMatheology S 191
mueckenh@rz.fh-augsburg.de
1/17/13
Read Re: WMatheology S 191
Jesse F. Hughes
1/17/13
Read Re: WMatheology S 191
Virgil
1/17/13
Read Re: WMatheology S 191
Virgil
1/17/13
Read Re: WMatheology � 191
Virgil
1/17/13
Read Re: WMatheology � 191
Virgil
1/17/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/17/13
Read Re: WMatheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
Zaljohar@gmail.com
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/14/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/14/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology � 191
Virgil
1/12/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/14/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/14/13
Read Re: Matheology � 191
Virgil
1/14/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/14/13
Read Re: Matheology � 191
Virgil
1/15/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/15/13
Read Re: WMatheology � 191
Virgil
1/15/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/15/13
Read Re: WMatheology � 191
Virgil
1/15/13
Read Re: WMatheology § 191
mueckenh@rz.fh-augsburg.de
1/15/13
Read Re: WMatheology � 191
Virgil
1/12/13
Read Re: Matheology § 191
Ben Bacarisse
1/12/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/12/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/12/13
Read Re: Matheology � 191
David C. Ullrich
1/12/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/12/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil
1/14/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/14/13
Read Re: Matheology � 191
Virgil
1/14/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/14/13
Read Re: Matheology � 191
Virgil
1/12/13
Read Re: Matheology � 191
Virgil
1/13/13
Read Re: Matheology § 191
mueckenh@rz.fh-augsburg.de
1/13/13
Read Re: Matheology � 191
Virgil

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