Incidentally, that also means that there are as many odd numbers as there are whole numbers, as many prime numbers, cubes, etc etc...
Why this relates to the Universe, then, is that if it's infinite to start with, then expansion takes the form of, say, doubling the distance between everything. After that, there's still exactly the same "amount" of Universe you had to start with, it's just that two points that were one light year apart before are now two lights years apart, say. The Universe as a whole isn't getting bigger, because it *can't* get bigger. It can just get more spread out.