On Epistemic Validity and Mathematics

Mathematics is examined in this paper using the criterion of epistemic validity (Eifel, 2025). This paper proposes that mathematics is best understood as epistemically valid abstraction from physical forces acting on objects. Mathematical reliability arises because each step preserves admissible inputs and constraint-governed transformations originally verified in the physical world. Once such relations are established, their outcomes may be reasoned through without reapplying the physical forces themselves. This account explains both the stability of mathematical results and their excellent effectiveness in describing physical reality.