Re: Cantor and the binary tree



Virgil wrote:

>
> Two paths in a maximal binary tree are distinct if and only if there is
> a node at which one branches left and the other branches right.
>
> If this does not happen there is no "them" to distinguish, only an "it"
> which cannot be distinguished from itself.

You insist that some numbers do exist though you know that they don't.
Therefore I spoke of "them".

Nevertheless. The nodes are the only chances for paths to separate /
distinguish themselves from others. Therefore there are only countably
many fifferent paths.

Regards, WM

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