Re: Cantor and the binary tree

imaginatorium@xxxxxxxxxxxxx said:
>
>
> Virgil wrote:
> > In article <MPG.1cffae4767935932989d37@xxxxxxxxxxxxxxxxxxxxxxxxx>,
> > Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
>
> <snip endless argument>
>
> > Otherwise, what is infinite
> > > about it? If it has infinite branches, it has infinite nodes, right?
>
> Not sure - but if I've snipped an endless argument and can still talk
> about it, I must be in the infinite realm.
>
> > How can a node be infinite?
>
> Easy - just come through the twilight zone with me! I'm hoping, though,
> that Tony will at some point tell us something about infinite nodes -
> whether they are distinguishable in and of themselves from finite one.
>
>
> Brian Chandler
> http://imaginatorium.org
>
>
I believe i was talking about infinite numbers of nodes, but if your binary
tree represents binary naturals then any non-zero (right) node infinitely far
from the root (having an infinite number of bits/nodes between it and the root)
represents an infinite value.
--
Smiles,

Tony
.

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