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Topic: The uncountability infinite binary tree.
Replies: 118   Last Post: Dec 17, 2012 8:49 PM

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trj

Posts: 89
From: Korea
Registered: 2/23/12
Re: The uncountability infinite binary tree.
Posted: Dec 16, 2012 6:02 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

> On 16 Dez., 11:02, Rupert <rupertmccal...@yahoo.com>
> wrote:


> > Okay, so you seem to be saying that you would take
> all the finite
> > paths and append an infinite tail to each one,
> thereby obtaining a
> > countably infinite collection of infinite paths. Is
> the claim then
> > that this would be equal to the collection of all
> infinite paths? Or
> > not?-
>
> It is equal to the collection of all paths that are
> defined solely by
> their nodes. It is equal to all finite initial
> strings of digits that
> can be applied in a Cantor-list. (Every digit changed
> there has a
> finite index.)
>
> Actually infinite paths like that of 0.010101... =
> 1/3 (in binary)
> cannot be defined by nodes.
>
> Regards, WM


So then, WM gives 1/3 as a concrete example of an infinite path
of the binary tree which does not belong to the collection of
infinite paths of the binary tree.
Is it possible that WM will answer the question about the set
of all infinite paths of the binary tree which do not belong to the
collection of infinite paths of the binary tree, whether this set is
finite, countable, or uncountable?
If he says that it is uncountable, then what is the whole discussion
about?


Date Subject Author
12/14/12
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Zaljohar@gmail.com
12/14/12
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Virgil
12/15/12
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Zaljohar@gmail.com
12/14/12
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William Elliot
12/15/12
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mueckenh@rz.fh-augsburg.de
12/15/12
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Rupert
12/15/12
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mueckenh@rz.fh-augsburg.de
12/15/12
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trj
12/15/12
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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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Zaljohar@gmail.com
12/15/12
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mueckenh@rz.fh-augsburg.de
12/15/12
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Zaljohar@gmail.com
12/15/12
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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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mueckenh@rz.fh-augsburg.de
12/15/12
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12/15/12
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mueckenh@rz.fh-augsburg.de
12/15/12
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Virgil
12/16/12
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Zaljohar@gmail.com
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Zaljohar@gmail.com
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Zaljohar@gmail.com
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Virgil
12/16/12
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ross.finlayson@gmail.com
12/16/12
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Virgil
12/16/12
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Zaljohar@gmail.com
12/16/12
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Zaljohar@gmail.com
12/16/12
Read Re: The uncountability infinite binary tree.
Virgil
12/17/12
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mueckenh@rz.fh-augsburg.de
12/17/12
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Virgil
12/15/12
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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
12/15/12
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Tanu R.
12/15/12
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Virgil
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Virgil
12/17/12
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mueckenh@rz.fh-augsburg.de
12/17/12
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Virgil
12/15/12
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Virgil
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Virgil
12/17/12
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mueckenh@rz.fh-augsburg.de
12/17/12
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Virgil
12/15/12
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Virgil
12/15/12
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Rupert
12/15/12
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12/15/12
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netzweltler
12/15/12
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Virgil
12/15/12
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Tanu R.
12/15/12
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Zaljohar@gmail.com
12/15/12
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Virgil
12/15/12
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Tanu R.
12/15/12
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namducnguyen
12/15/12
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Tanu R.
12/15/12
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namducnguyen
12/15/12
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Tanu R.
12/16/12
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Rupert
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Rupert
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Rupert
12/16/12
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ross.finlayson@gmail.com
12/16/12
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Rupert
12/16/12
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ross.finlayson@gmail.com
12/16/12
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Rupert
12/16/12
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ross.finlayson@gmail.com
12/16/12
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Rupert
12/16/12
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ross.finlayson@gmail.com
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mueckenh@rz.fh-augsburg.de
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Rupert
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Rupert
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Rupert
12/17/12
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mueckenh@rz.fh-augsburg.de
12/17/12
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Virgil
12/17/12
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mueckenh@rz.fh-augsburg.de
12/17/12
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Virgil
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Rupert
12/17/12
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mueckenh@rz.fh-augsburg.de
12/17/12
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fom
12/17/12
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Virgil
12/17/12
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Virgil
12/16/12
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Virgil
12/16/12
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Virgil
12/16/12
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m. m. m.
12/16/12
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Virgil
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Rupert
12/16/12
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12/16/12
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Rupert
12/17/12
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12/17/12
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Roland Franzius
12/17/12
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Virgil
12/17/12
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mueckenh@rz.fh-augsburg.de
12/17/12
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Virgil
12/17/12
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fom
12/16/12
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Virgil
12/16/12
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m. m. m.
12/16/12
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Virgil
12/16/12
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m. m. m.
12/16/12
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Virgil
12/16/12
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ross.finlayson@gmail.com
12/16/12
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trj
12/16/12
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Zaljohar@gmail.com
12/16/12
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mueckenh@rz.fh-augsburg.de
12/16/12
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Virgil
12/16/12
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Virgil
12/15/12
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Virgil
12/15/12
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Tanu R.
12/15/12
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Virgil
12/15/12
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Virgil
12/15/12
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Virgil

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