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

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Virgil

Posts: 6,993
Registered: 1/6/11
Re: On the infinite binary Tree
Posted: Dec 13, 2012 2:58 PM
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> On Dec 13, 9:56 am, WM <mueck...@rz.fh-augsburg.de> 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 goofs an argument again!!!

You claim to have shown that the set of paths can be SURJECTS ONTO the
set of nodes.
But such a claim only argues that the set of paths is at least as large
as the set of nodes, but not, as yo claim, that it cannot be larger.

Note that any nonempty set can be surjected onto any one element set,
but that does not prove that every nonempty set has ONLY one member, it
only proves that every nonempty set has AT LEAST one member.

To prove what you claim you must also show that the set of paths INJECTS
INTO to the set of nodes, which you cannot do because it is not true!
--





Date Subject Author
12/12/12
Read On the infinite binary Tree
Zaljohar@gmail.com
12/12/12
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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
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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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mueckenh@rz.fh-augsburg.de
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
Read Re: On the infinite binary Tree
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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Virgil
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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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
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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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Zaljohar@gmail.com
12/14/12
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Zaljohar@gmail.com
12/15/12
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mueckenh@rz.fh-augsburg.de
12/15/12
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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
12/12/12
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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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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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