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Many have wondered how mathematics, which appears to be the result of bothhuman creativity and human discovery, can possibly exhibit the degree ofsuccess and seemingly-universal applicability to quantifying the physical worldas exemplified by the laws of physics. In this essay, I claim that much of theutility of mathematics arises from our choice of description of the physicalworld coupled with our desire to quantify it. This will be demonstrated in apractical sense by considering one of the most fundamental concepts ofmathematics: additivity. This example will be used to show how many physicallaws can be derived as constraint equations enforcing relevant symmetries in asense that is far more fundamental than commonly appreciated.

The Deeper Roles of Mathematics in Physical Laws