I'm curious what you mean by this: there is nothing "privileged" about the system of arithmetic that we usually use and this alternate definition. The math tha

I'm curious what you mean by this: there is nothing "privileged" about the system of arithmetic that we usually use and this alternate definition. The math that we all learn up through highschool is a system with a carefully chosen set of axioms that happen to be useful in most cases and has become the default system, but there isn't some intrinsic property of it that makes it "math" and alternate consistent set of axioms "not math".