Re: Cantor and the binary tree

In article <MPG.1cff9fda6b659940989d2e@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
>Virgil said:

>> All unending paths in an unending binary tree contain infinitely many
>> nodes.
>Most of which are infinitely far from the root.

Actually, none of them are. That doesn't qualify as "most". It doesn't
even qualify as "some". It is true that, for any particular node, there
are an infinite number of nodes further away from the root than that
node. However, every node is a finite distance away from the root.

This is exactly the same mistake that you make the the integers (no
infinite integers, but infinitely many integers).

Alan
--
Defendit numerus
.

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