That's fine. It's just that when you get to the very bottom of axioms, it can get a little weird. Like, is the underlying basis the one, the nothing or the all? Is it being or not being? That is metaphysical -- and has implications for the foundation of any axiom, no?
I'm not sure what it even means for the underlying basis to be one or nothing or everything (basis of what specificly?). That doesn't sound like an axiom thing to me.
