Um. I don’t think you understand the constitution of mathematics. And I am not sure that I want to invest that level of effort. But given the simplicity of math, and the impossibility of anything more ‘simple’ than math, the only thing we can do with mathematics that we cannot do now, is increase the dimension of constant relations that we calculate. And even today, that is largely a function of computational power. I mean, once you get to Lie groups you really have completed the circle, very similarly to how once you get to chemistry you have completed the subatomic cycle, and started over.

https://www.quora.com/If-an-advanced-alien-civilization-uses-an-axiomatic-system-that-allows-them-to-solve-many-math-problems-that-we-have-tried-for-centuries-to-solve-would-we-adapt-to-their-system-so-that-our-math-knowledge-can-catch-up-to-theirs

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