>hurr i'm going to pick points from this set so that i can make a neighborhood for one point that covers all the later points i pick but doesn't cover the previous point i picked
>i picked a countable number of points and the set was originally countable so I must have used all of them durr hurr mmm grayons
ffs i can pick all the positive integers and have a countably infinite set, but that doesn't mean i am out of points. theres the entire set of negative integers. i should have listened to /sci/, the reals are a joke.