The Power of Set Theory

All of the mathematics that most of us know and love, you can build out of sets in this kind of way. So it's like reductionism to say what bits are fundamental and what bits emerge. If we can figure out which bits are fundamental, then we can ask questions just about those. I mean, can you say I'm going to start with sets and from that build everything, geometry and integrals and differential equations? Can you base all of mathematics on these weird sets? Yes,. There are a couple of little areas of mathematics that don't succumb to this primarily category theory, but set that aside.