That's a little complicated as math is intertwined with science. But at the core I only see them as a difference in subject matter. Math is a philosophical stud

That's a little complicated as math is intertwined with science. But at the core I only see them as a difference in subject matter. Math is a philosophical study of space, logical structure, quantity, etc. Proofs are just tools for articulating arguments about these subjects. Deduction just tends to work better in math, so the methods are more refined and agreed upon.