Virgil
Posts:
4,491
Registered:
1/6/11
|
|
Re: FAILURE OF THE DISTINGUISHABILITY ARGUMENT. THE TRIUMPH OF CANTOR: THE REALS ARE UNCOUNTABLE!
Posted:
Jan 10, 2013 7:35 PM
|
|
In article
<4da867b9-37cb-4c67-9669-5553500f0ca9@c28g2000vby.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 10 Jan., 22:14, Virgil <vir...@ligriv.com> wrote:
>
> > WM can prevent himself from thinking outside the finite only box of
> > WMytheology, but, fortunately cannot prevent anyone else from doing so.
> > --
>
> Prove your position by identifying a path that is missing in the
> Binary Tree and tell me by what combination of nodes you identified
> it.
From MY binary tree none are missing, but since WM will not list for me
the paths in HIS tree, I have no way of knowing which paths he has
included and which ones he hasw therefore omitted.
> Unless you cannot do that I do not believe that there are more
> than countably many paths definable by nodes
What you believe is not evidence, nor proof of anything except the
unreliability of your WMytheology
And I have no idea what your "defined by nodes" allows or does not allow
until you give an example of some path that is "defined by nodes" and a
path which is defined some other way.
Note: I can define a path by citing the set of levels at which it
branches left.
For any irrational real in [0,1], I can define either of two paths by
its binary expansion. For binary rationals (having a finite and an
infinite binary expansion) any of 4 paths.
--
|
|
