Date: Dec 13, 2012 2:10 AM
Subject: Re: On the infinite binary Tree
On 12 Dez., 22:10, Virgil <vir...@ligriv.com> wrote:
> > The issue is this:
> > Every partial tree from level 0 to level n has
> > -1 + 2^(n+1) nodes.
> > The number of all finite paths is the same, because every finite path
> > ends at some node.
> > The number of all path traversing the complete partial tree and
> > branching after that in two paths is
> > 2^(n+1).
> > In the limit we have
> > numbers of paths traversing the complete tree (and after that
> > branching in two paths) divided by number of nodes of the complete
> > tree = 1.
> How does a path which has finished traversing the complete tree have any
> further branching possible?
If that is impossible, we have only half of the number.
> It is a stupid self-contradiction to claim that a process which has been
> completed will then continue beyond its completion.
Yes. it is stupid to claim that after *all* nodes are covered by
finite paths there are yet more infinite paths possible.