This does highlight a problem in the insistence on numbers, though. What’s required is not numbers but mathematics, something we can formalize. Classical theories dealt largely in real numbers and functions of real numbers but there’s nothing wrong with a theory we get trees out of instead of numbers. (Of course, we can then use numbers in describing those—numbers are enormously useful—but they don’t need to be the direct result.)
This does highlight a problem in the insistence on numbers, though. What’s required is not numbers but mathematics, something we can formalize. Classical theories dealt largely in real numbers and functions of real numbers but there’s nothing wrong with a theory we get trees out of instead of numbers. (Of course, we can then use numbers in describing those—numbers are enormously useful—but they don’t need to be the direct result.)