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Topic: Who's up for a friendly round of debating CANTORS PROOF?
Replies: 134   Last Post: Aug 29, 2011 7:17 PM

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SPQR

Posts: 411
Registered: 8/12/11
Re: Who's up for a friendly round of debating CANTORS PROOF?
Posted: Aug 17, 2011 6:01 PM
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In article
<ed78df5f-8302-4032-b1c6-3d877f448070@p19g2000yqa.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 16 Aug., 19:17, Dick <DBatche...@aol.com> wrote:
>

> > Situation 1. You want transfinite sets to exist.
> > Simple. Adopt the usual axioms of set theory. Then:_

>
> you get a contradiction:


Maybe so in WM's matheology, but not in mathematics.
>
> Supertask 1:
> Fill in 1 to 10, remove 1,
> fill in 11 to 20, remove 2,
> fill in 21 to 30, remove 3,
> and so on.
> After all, all numbers are removed.
>
>
> Supertask 2:
> Fill in 1 to 10, remove 10,
> fill in 11 to 20, remove 20,
> fill in 21 to 30, remove 30,
> and so on.
> After all, not all numbers are removed.
>
> But the quantities are identical in both cases for every finite step.


That differing sequences should have differing results in not a problem
in mathematics however much it may be in WM's matheology.
>
> Or:
>
> Definition: Two infinite paths, A and B, of the Binary Tree can be
> distinguished at level n
> <==> There are two different nodes a and b at level n, such that a is
> in A and b is in B.
>
> Definition: Two infinite paths A and B are different <==> There exists
> a level n such that A and B can be distinguished at level n.
>
> Therorem: There is no level n where uncountably many path can be
> distinguished.
>
> Corollary: In the complete infinite Binary Tree at most countably many
> paths can be distinguished.


Does not follow unless there is a level at which all paths can be
distinguished, which is not the case.


So that WM's matheology leads him, as usual, to false claims.


Date Subject Author
8/13/11
Read Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/13/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Rupert
8/14/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/14/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Rupert
8/14/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/14/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Rupert
8/14/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Frederick Williams
8/14/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/15/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Rupert
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/15/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Porky Pig Jr
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
at1with0
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Jim Burns
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Transfer Principle
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
at1with0
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
at1with0
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Virgil
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
hagman
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
at1with0
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
at1with0
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
at1with0
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/21/11
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8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
at1with0
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/21/11
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8/21/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/21/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/21/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/21/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/21/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/21/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/19/11
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8/19/11
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8/13/11
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at1with0
8/14/11
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donstockbauer@hotmail.com
8/14/11
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8/15/11
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8/14/11
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8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Transfer Principle
8/14/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/16/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/17/11
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8/18/11
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8/18/11
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8/18/11
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8/19/11
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8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/18/11
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8/18/11
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8/18/11
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8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/18/11
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8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
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8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/17/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
DBatchelo1
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/18/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
mueckenh@rz.fh-augsburg.de
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
SPQR
8/20/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Virgil
8/19/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Newberry
8/29/11
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|-| E R C
8/29/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Virgil
8/29/11
Read Re: Who's up for a friendly round of debating CANTORS PROOF?
Graham Cooper

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