I like that you realized every point is the center of infinity. That's super fun to think about.
Reminds me, my hometown claims to be "center of the universe" haha.
Re: math, I am still trying to get over the idea of different density infinities. Example: the set of all real numbers has members that occur more frequently along a number line than the set of all integers, yet they are both of infinite size. http://en.wikipedia.org/wiki/Natural_density
One good exercise is to imagine Hilbert's Hotel:
Imagine there is a hotel with an infinite number of rooms, yet when you try to check in, they are all occupied. No worries, we'll just move the person in room 1 to room 2, and the person in room 2 to room 3, and so forth.