A mathematical sphere is infinitely divisible - it is a perfect sphere and it contains an infinite number of points.
Thus making the Banach-Tarski paradox weird, but a little less weird.
Well, in a finite universe nothing in infinite. It is all hypothetical. It is also impossible to make a perfect sphere. All spheres are equally and infinitely divisible. What I think in my mind is have a pea so dense that when you take it apart, you have a large but hollow sphere, but that isn't correct. Well, it is hard for me to understand.
This thread kind of opened my eyes, even though I don't really understand some of it.
