Re: Cantor Confusion
- From: Virgil <virgil@xxxxxxxxxxx>
- Date: Mon, 18 Dec 2006 00:11:37 -0700
In article <1166420023.961801.207150@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Newberry" <newberry@xxxxxxxxxx> wrote:
Sorry that I joined a bit late. Are you saying that (in an infinite
binary tree) the set of paths is uncountable but the set of edges is
countable?
That is certainly the case within set theories like ZFC or NBG.
But for those whose versions of set theories prohibit anything but
finite sets, there can be no infinite binary trees anyway.
.
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