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Topic: On the infinite binary Tree
Replies: 64   Last Post: Dec 17, 2012 11:06 AM

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mueckenh@rz.fh-augsburg.de

Posts: 14,686
Registered: 1/29/05
Re: On the infinite binary Tree
Posted: Dec 13, 2012 8:00 AM
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On 13 Dez., 09:26, Virgil <vir...@ligriv.com> wrote:

> > No. I proved that the number of infinite paths is countable by
> > constructing all nodes of the Binbary Tree by a countable set of
> > infinite paths.

>
> WM is again, or should I say still, self-deluded in all sorts of ways.
>
> The only way WM could actually have CONSTRUCTED all nodes of a INFINITE
> binary tree is by completing infinitely many construction steps himself
> which he has often claimed that no one can ever do.


If actual infinity exists (and I assume that for the sake of
contradiction) then the CIBT can be constructed.

> Such trees can exist only in the imagination, as is the case with a
> great many mathematical "constructions".
>
> But the set of paths of such an imagined tree, to be consistent, must
> have a different path for every different subset of the set of all
> naturals numbers, being the set of levels at which that path branches
> left, and there are uncountably many such subsets of N.


Alas most of them are not definable. Why does no Cantor-list contain
undefinable elements?

Regards, WM


Date Subject Author
12/12/12
Read On the infinite binary Tree
Zaljohar@gmail.com
12/12/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/12/12
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Virgil
12/12/12
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mueckenh@rz.fh-augsburg.de
12/12/12
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Zaljohar@gmail.com
12/13/12
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mueckenh@rz.fh-augsburg.de
12/13/12
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trj
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
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mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
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mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
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Virgil
12/13/12
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mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
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Virgil
12/13/12
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Virgil
12/13/12
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Zaljohar@gmail.com
12/13/12
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mueckenh@rz.fh-augsburg.de
12/13/12
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Virgil
12/13/12
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Zaljohar@gmail.com
12/13/12
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mueckenh@rz.fh-augsburg.de
12/13/12
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Virgil
12/14/12
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mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/14/12
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Zaljohar@gmail.com
12/14/12
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Zaljohar@gmail.com
12/15/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/15/12
Read Re: On the infinite binary Tree
Virgil
12/14/12
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mueckenh@rz.fh-augsburg.de
12/14/12
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Tanu R.
12/14/12
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Virgil
12/15/12
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mueckenh@rz.fh-augsburg.de
12/15/12
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Virgil
12/12/12
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Virgil
12/13/12
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mueckenh@rz.fh-augsburg.de
12/12/12
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george
12/13/12
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Zaljohar@gmail.com
12/13/12
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mueckenh@rz.fh-augsburg.de
12/13/12
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george
12/14/12
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mueckenh@rz.fh-augsburg.de
12/14/12
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Virgil
12/14/12
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mueckenh@rz.fh-augsburg.de
12/14/12
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Tanu R.
12/14/12
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Virgil
12/15/12
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mueckenh@rz.fh-augsburg.de
12/15/12
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Virgil
12/15/12
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Tanu R.
12/14/12
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Charlie-Boo
12/14/12
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forbisgaryg@gmail.com
12/15/12
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ross.finlayson@gmail.com
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forbisgaryg@gmail.com
12/15/12
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ross.finlayson@gmail.com
12/16/12
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forbisgaryg@gmail.com
12/17/12
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ross.finlayson@gmail.com
12/16/12
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Ciekaw
12/16/12
Read Re: On the infinite binary Tree
Virgil

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