So I have read that Hilbert and his student, Hermann Weyl both attempted to "axiomatize" physics. What exactly does this mean? I'm sort of naively assuming it means they should like to have a small set of axioms from which all of physics follows. Is that kind of the idea?
But isn't that sort of what physics is already? Like in classical mechanics, can't you make a leap of faith as to the relation between force and acceleration and everything follows very nicely?
Sorry if I'm way off base; just a curious undergrad...also does anyone know of any good books on this topic? or in regard to philosophy of math/physics in general?