Debreu on Danger of Over-Mathematization of Economics

From Debreu’s Presidential Address before the American Economic Association:

In the past two decades, economic theory has been carried away further by a seemingly irresistible current that can be explained only partly by the intellectual successes of its mathematization.
Essential to an attempt at a fuller explanation are the values imprinted on an economist by his study of mathematics. When a theorist who has been so typed judges his scholarly work, those values do not play a silent role; they may play a decisive role. The very choice of the questions to which he tries to find answers is influenced by his mathematical background. Thus, the danger is ever present that the part of economics will become secondary, if not marginal, in that judgment. (p. 5)

Debreu, Gerard. “The Mathematization of Economic Theory.” American Economic Review 81, no. 1 (1991): 1-7.

Economics and Physics

Economists have sometimes been accused of physics-envy, but that is an utterly misleading accusation. Anyone who knows modern physics will testify that physicists care about experimental evidence, about bringing their theories into conformity with the experimental evidence, and very little about rigorous theorems and analytical lemmas. What economists really suffer from is mathematics-envy.

Blaug, Mark. “Not Only an Economist: Autobiographical Reflections of a Historian of Economic Thought.” In Reflections of Eminent Economists, edited by Michael Szenberg and Lall Ramrattan, 71-94. Cheltenham, UK: Edward Elgar, 2004, p. 90.

We economists like to think of our science as akin to physics in its mathematical rigor. Quite by accident, while pursuing some research on stochastic processes, I obtained in 1995 a detailed description of the research being done by tenured and tenure-track members of the Harvard University physics department, ranked that same year in a National Research Council survey as the top physics department in the United States. Analysis of the research

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