They distinguish one hypothetical world from another.
It’s a subtle distinction, but I think it’s more accurate and useful to say that the axioms define a mathematical universe, and that a mathematical universe cannot be true or false but only a better or poorer model of the physical universe.
They distinguish one hypothetical world from another.
It’s a subtle distinction, but I think it’s more accurate and useful to say that the axioms define a mathematical universe, and that a mathematical universe cannot be true or false but only a better or poorer model of the physical universe.