Is Math a Social Science? The Linguistic and Epistemological Truth
Is Math a Social Science? The Linguistic and Epistemological Truth
To determine whether mathematics is a social science, we must first deconstruct the terminology through etymology, history, and epistemology. The word mathematics originates from the Ancient Greek mathēma (μάθημα), meaning "that which is learned," or "what one gets to know," descending from the root manthanein ("to learn"). Unlike the social sciences—which derive from the Latin socius (companion/society) and scientia (knowledge) to study human behavior and societal structures—mathematics originally encompassed all conceptual learning.
Historical Origins and Classification
Historically, mathematics occupied a unique space. In the medieval trivium (grammar, logic, rhetoric) and quadrivium (arithmetic, geometry, music, astronomy), math was aligned with the exact sciences. Philosophers like René Descartes and Gottfried Wilhelm Leibniz viewed mathematics as the ultimate universal language—mathesis universalis—governed by undeniable deductive logic.
However, modern sociologists of science, such as Bruno Latour and David Bloor (a pioneer of the "Strong Programme" in the sociology of scientific knowledge), argue that mathematical practice is profoundly social. Mathematical truths are negotiated, peer-reviewed, taught in institutions, and validated by human consensus. In his book Mathematics: The Loss of Certainty (1980), Morris Kline details how mathematical foundations shifted due to paradoxes, proving that human intuition and social constructs heavily influence how mathematical systems are built upon axiomatic frameworks.
Modern Nuance: Formal vs. Social
Epistemologically, mathematics relies on a priori reasoning (independent of empirical observation), whereas social sciences rely on a posteriori (empirical, observational) data about human societies. Therefore, math is formally categorized as a formal science, alongside logic and computer science, sitting alongside the natural sciences and social sciences as a distinct branch of human inquiry. Yet, from a psychological and anthropological perspective, doing math is an inherently human, cultural, and social phenomenon.
As the linguist George Lakoff and cognitive psychologist Rafael Núñez argued in Where Mathematics Comes From (2000), human mathematical concepts are grounded in our shared bodily experiences and neural architecture—making mathematics fundamentally a product of human cognition projected onto the universe.