They are incompatible sets of axioms, but they can describe the same set of shapes, although one system is going to be a lot more inconvenient than the other. The differences are logically interesting, but about as incompatible as choosing to make the origin of a euclidean system one corner of the room instead of another.
In contrast physical theories contradict each other by making different predictions which can be falsified.
They are incompatible sets of axioms, but they can describe the same set of shapes, although one system is going to be a lot more inconvenient than the other. The differences are logically interesting, but about as incompatible as choosing to make the origin of a euclidean system one corner of the room instead of another.
In contrast physical theories contradict each other by making different predictions which can be falsified.