Three Modeling Philosophies Explained: Positivism, Structuralism, Instrumentalism
Mathematical modeling can be viewed through three distinct philosophical lenses—positivism, which trusts data alone; structuralism, which seeks underlying mechanisms via theory; and instrumentalism, which prioritizes practical problem‑solving—each offering strengths and trade‑offs, and often blending as modelers shift between data‑driven and theory‑driven approaches.