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As part of my Theory of Knowledge course I am studying the areas of knowledge, more specifically, Mathematics.

I am researching about the idea of absolute and relative truths. I am looking for the most basic, fundamental principle of mathematics, that is, maybe an "assumption(?)" that enables mathematics to function, analogous to the fact that 0! = 1. It is defined as so in order to make factorials work. With that idea I could then argue that, if that principle existed and was not absolute, hence, relative, Mathematics would exist and not exist at the same time, going against the Law of non-contradiction for example.

Is there such a principle?

Thanks,

Peter