Date: Dec 13, 2012 4:32 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: On the infinite binary Tree
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