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Roman Reiner wrote:
> That depends on what numbers you are using. The number of points in the unit
> square of rational numbers is countable, the number of points in the unit square
> of irrational numbers is not.
Well, of course, yes. And the unit square of integers has a finite number of
points in it. :-P
> By the way, IIRC, it is actually possible to constuct a bijection from [0,1]
> onto the unit square, meaning there is actually the same number of points in the
> unit square as there are points between 0 and 1.
Yep. There's really only two infinities you get when you talk about
"numbers" - Aleph0 and Aleph1.
--
Darren New, San Diego CA, USA (PST)
"How did he die?" "He got shot in the hand."
"That was fatal?"
"He was holding a live grenade at the time."
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