fucking infinity.

ight so, take the set of integers: -infinity... -2, -1, 0, 1, 2... infinity

right? how many integers are there? an infinite amount, yes good, you're with me.

now, how many real numbers are there between 0 and 1? well there's infinitely many real numbers between 0 and 1. any number you can conceive of between 0 and 1 can be divided by 10 and it's smaller, this goes on infinitely.

so, if there are infinitely many integers, and there are infinitely many real numbers between any two integers that aren't the same number, that means that although there are an infinite amount of integers, and there are an infinite amount of real numbers, but there are obviously more real numbers than integers, though they both go on to infinity in both directions.

**basically, some infinities are bigger than others**