Re: how to list all of the real numbers
- From: luiroto@xxxxxxxxx
- Date: Mon, 06 Aug 2007 04:56:34 -0700
On Aug 2, 11:48 pm, Calvin <cri...@xxxxxxxxxxxxxx> wrote:
Thus, amazingly enough, we can list ALL of these reals
at once, to any desired binary place, simply by working
on the tree, from left to right, row below row of nodes,
for a finite number of steps. And we can calculate that
number of steps.
Yes. "to any desired binary place", but 2^(1/2) has infinitely
many binary places. And which is its finite number of steps?
Your tree is the representation of that theorem.From Cantor we already know that the number of reals is 2^(Aleph0)
Ludovicus
.
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- how to list all of the real numbers
- From: Calvin
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