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.
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.)
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....
Code:
0 1 1/2 1/3
1 2 2/3
2/1 3/2
3/1if 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.)
