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Topic: Distinguishability of paths of the Infinite Binary tree???
Replies: 69   Last Post: Jan 4, 2013 11:11 PM

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mueckenh@rz.fh-augsburg.de

Posts: 15,220
Registered: 1/29/05
Re: Distinguishability of paths of the Infinite Binary tree???
Posted: Dec 26, 2012 10:30 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 26 Dez., 10:21, Virgil <vir...@ligriv.com> wrote:

> Note, however, that there is no finite initial segment of any one
> infinite binary sequence that distinguishes it from ALL others.


Note that there is no sequence of digits that alone defines a number.
You need always a finite definition like 0.111 and so in infinity.

You cannot use a finite sequence of digits alone to define a number,
because something unexpected could follow. And you cannot an infinite
sequence of digits to define a number, because the definition would
never get ready. All you can do is to use a finite definition like 1/3
or 0.111... or 0.25 and the rest is silence or zeros.


> For any finite set of such strings, finite initial segments suffice to
> distinguish all of them from each oterhbut for at least some infinite
> set, no finite set of finite initial segments suffices.


And no infinite set is available. Therefore even the Cantor list must
be infinite. But without finite definition, the Cantor-list is as
undefined as its diagonal.
>
> What drives WM is shear orneryness.


What is that? In doubt I contradict.

Regards, WM



Date Subject Author
12/23/12
Read Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/24/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/24/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/24/12
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mueckenh@rz.fh-augsburg.de
12/24/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/25/12
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mueckenh@rz.fh-augsburg.de
12/25/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
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mueckenh@rz.fh-augsburg.de
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/27/12
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mueckenh@rz.fh-augsburg.de
12/27/12
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Virgil
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/29/12
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mueckenh@rz.fh-augsburg.de
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/30/12
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fom
12/30/12
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mueckenh@rz.fh-augsburg.de
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/30/12
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ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
1/4/13
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ross.finlayson@gmail.com
12/30/12
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forbisgaryg@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
gus gassmann
12/26/12
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mueckenh@rz.fh-augsburg.de
12/26/12
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Zaljohar@gmail.com
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/27/12
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Zaljohar@gmail.com
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/28/12
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Zaljohar@gmail.com
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/28/12
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Zaljohar@gmail.com
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
forbisgaryg@gmail.com
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
gus gassmann
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Tanu R.
12/27/12
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mueckenh@rz.fh-augsburg.de
12/27/12
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Tanu R.
12/27/12
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Virgil
12/28/12
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Zaljohar@gmail.com
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/24/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Ki Song

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