I’m reminded of the philosophy of science, I think. Math in general is very powerful and effective at modeling the phenomena of the universe. But it’s generally not enough to simply show math notation to demonstrate knowledge nor come up with scientific hypotheses. Proofs can’t be written solely in the language of the system. There’s got to be some base intuition to a hypothesis stemming from some prior experience of the phenomenon under consideration.

(Yes, much of the standard model and modern computational science muddies this point. That’s illustrative and worth contemplation. Obviously, such are only as good as their data and calculations agree with reality.)