>However Mathematics are different. It's not a perception. It even allowed us to discover things we could not perceive, and explore things we cannot perceive. It is independent from us and the universe.
You only say that as someone inside a universe with mathematics entangled with it. I don't think we can say anything about mathematics being "independent of the universe" just because we conceive them with our minds.
One could imagine another "universe" where even standard logic (A=A for starters) doesn't hold.
However Mathematics are different. It's not a perception. It even allowed us to discover things we could not perceive, and explore things we cannot perceive. It is independent from us and the universe. And if you still want to throw away Mathematics, you'll also have to throw away logic, which is kind of an issue. The only thing one could seriously argue, is that something better than Mathematics exists, like General Relatively is "better" than Newtonian mechanics. But maybe that is out of our reach, too.
Meanwhile, repeat after me: I believe in modus ponens, set theory and monads.