
Re: Distinguishability of paths of the Infinite Binary tree???
Posted:
Dec 26, 2012 10:30 AM


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 Cantorlist is as undefined as its diagonal. > > What drives WM is shear orneryness.
What is that? In doubt I contradict.
Regards, WM

