Math is able to prove and disprove things while science can only disprove. The reason we can't prove much about the actual world is because unlike in mathematics we don't have enough starting axioms. If the math world isn't real and is just an object of the mind it would make sense that us humans can definitely prove things in it because it's a product of our mind. However the actual world isn't a product of our mind so maybe we are just not smart enough to prove much about our reality. Do you think all of the laws of physics and more can be proved using mathematics if we had enough axioms for our world?