Math is sort of the end of the road for abstraction. If you go any further you drive off a cliff. Take a trip to the cliff and look around for a while. So-call

Math is sort of the end of the road for abstraction. If you go any further you drive off a cliff. Take a trip to the cliff and look around for a while. So-called mathematical maturity lets you think about many domains without considering concrete reality, and this lets you solve a different class of problems. Many foundational computer scientists are or were mathematicians for good reason. Think von Neumann, Knuth, and Turing. There is a magnitude of difference in abstract thinking between a mathematically mature scientist and a mathematically immature one. Mathematical maturity seems to allow an easy transition from abstract theory to empirical experimentation. The converse does not appear to be as true. My advice would be to study math directly.