That gets into the invention vs. discovery dilemma, but mathematics is just a rule system with which we can make models of natural phenomena. Despite multiple efforts to try to resolve all paradoxes, we instead eventually developed a proof that no sufficiently complex system of mathematics can be made without paradox.
The fact that that math just works everywhere is still one of the most convincing arguments that we live in a computer simulation.
This is just the other side of the “We’re well adapted to this world so it must have been made for us” coin.
That gets into the invention vs. discovery dilemma, but mathematics is just a rule system with which we can make models of natural phenomena. Despite multiple efforts to try to resolve all paradoxes, we instead eventually developed a proof that no sufficiently complex system of mathematics can be made without paradox.