I was wondering, what kinds of question does one asks in philosophy of mathematics (by mathematics, I mean like algebra, calculus, arithmetic, geometry, not logic though). These are the only one I can think of: 1) "Why does math describe the physical world so elegently? Is there an intricate connection between nature and mathematics?" 2) "Do numbers exist?" 3) "Is math invented or discovered?" Can you guys think of any other interesting questions?