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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: 15,737
Registered: 1/29/05
Re: On the infinite binary Tree
Posted: Dec 13, 2012 4:32 PM
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On 13 Dez., 21:02, Zuhair <zaljo...@gmail.com> wrote:
> On Dec 13, 3:56 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
>
>

> > No? Nearly every real number is undefinable. The measure of definable
> > reals is 0. If most reals are non-definable, why must all reals of
> > every Cantor list always be definable? If all reals of the list are
> > definable, then they belong to a countable set. Then we cannot prove
> > uncounatbility. Or can we prove that the set of definable reals is
> > uncountable - because it is countable but there are, somewhere else,
> > undefinable "reals"?

>
> > Regards, WM
>
> Cantor's list do contain non definable reals.


Which one in what line? What is the corresponding digit of the
diagonal?

> Actually some diagonals
> of Cantor's are non definable.


Lists containing undefinable entries do not supply diagonals at all.

> The bijective function between all
> definable reals and the set N of all naturals is NON definable set!


That is completely without interest.
>
> Note: definable is short for "definable by parameter free finite
> formula"


No. Definable means "definable by a finite word". Everything else is
"undefinable".

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
Read Re: On the infinite binary Tree
Virgil
12/12/12
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mueckenh@rz.fh-augsburg.de
12/12/12
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
Read Re: On the infinite binary Tree
trj
12/13/12
Read Re: On the infinite binary Tree
Virgil
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
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
Read Re: On the infinite binary Tree
Virgil
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
Virgil
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
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
Virgil
12/14/12
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
12/14/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/14/12
Read Re: On the infinite binary Tree
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
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/14/12
Read Re: On the infinite binary Tree
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
Read Re: On the infinite binary Tree
george
12/14/12
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mueckenh@rz.fh-augsburg.de
12/14/12
Read Re: On the infinite binary Tree
Virgil
12/14/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/14/12
Read Re: On the infinite binary Tree
Tanu R.
12/14/12
Read Re: On the infinite binary Tree
Virgil
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
12/15/12
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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
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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