I've always thought of numbers, and the broader system of mathematics as equivalent to the Newtonian understanding of physics - an adequate tool to explain observed reality - but the edge cases that break the system are starting to pile up, and we are just waiting for someone to discover the Quantum/General Relativity theory of mathematics.
As someone who has recently started diving deeper into math recently, that is very interesting and something I was totally unaware of. Could you point me to some of these edge cases?