We consider the unreasonable effectiveness of math in physical sciences by drawing clear differences between pure math and mathematical physics. We take into consideration the preferred methods of the fields, their historical background and examples from other fields. We build a theory of their similarities and divergences. We present some examples to support the hypothesis that the partial success that we investigate is based on the simplicity and the reducibility of the fields to their component parts, as well as naturalness and proximity to the fundamental parts of reality. Using our current knowledge of the directions and advancements of each field, we try to predict potential future directions.
Alma Ionescu