But there's a discrete and a continuous way to get your mind around infinity. I think that for a programmer it's more important to have mastered the discrete way. For example, I just mentioned induction proofs. You can prove something true for all integers. It's kind of magical. You prove it for one integer and you prove that one implies the next and then you've proved it for all of them. And I think that is more important for a programmer than, let's say, understanding the notion of limits.
