Wow. First philosophy, and now calculus.
I hate it when something happens eventually, but before the end. To me, that's like one of those trick football players who goes half the distance to the goal on every play. You think he's doing well, but he never scores. Toward the end, he gains 1/128th of a yard, and then 1/256th of a yard, and then 1/512th of a yard... it gets boring. So I flip the channel to watch something else.
I'll come back a half-hour later and the guy will have just gained 1/65,536th of a yard. You can see the people in the stands leaving early.
I asked somebody about this once and they said you need calculus to figure it out. I'm told that if you can be certain that it will happen "eventually," but not at any particular time, and not at the end, then you can sorta forget about it, because it's like waiting for that football team to score. There... see that? They just gained 1/2147483648th of a yard. And that was a pass.
See, this is why they don't let Cal Tech into the Rose Bowl.
When they finally get down to the range of one 2-to-the-thirty-seventh-powerth of a yard, they just quantum tunnel through. And nobody sees them during the play because they don't exist.