(February 5, 2012 at 4:15 am)phillip1882 Wrote: to the main topic, whether the reals and integers are mappable,
that's something i've always wondered about. for example, we know the square root function generally produces irrational numbers. so what if we have the following set....
where each fraction is square rooted? you can even alternate between positive and negative results. this should, in my opinion, go over all the reals.Code:0 1 1/2 1/3
1 2 2/3
2/1 3/2
3/1
if you believe it doesn't, please give me a value that this function definitely won't hit.
(p.s. this a bit of a joke, please don't take it seriously. there are indeed irrational numbers this won't hit.)
It won't hit the square root of pi, or the square root of e, or the square root of the square root of 2.
“The truth of our faith becomes a matter of ridicule among the infidels if any Catholic, not gifted with the necessary scientific learning, presents as dogma what scientific scrutiny shows to be false.”
