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The Pure and the Applied: Bourbakism Comes to Mathematical Economics

  • E. Roy Weintraub (a1) and Philip Mirowski (a2)
  • DOI: http://dx.doi.org/10.1017/S026988970000168X
  • Published online: 01 September 2008
Abstract
The Argument

In the minds of many, the Bourbakist trend in mathematics was characterized by pursuit of rigor to the detriment of concern for applications or didactic concessions to the nonmathematician, which would seem to render the concept of a Bourbakist incursion into a field of applied mathematices an oxymoron. We argue that such a conjuncture did in fact happen in postwar mathematical economics, and describe the career of Gérard Debreu to illustrate how it happened. Using the work of Leo Corry on the fate of the Bourbakist program in mathematics, we demonstrate that many of the same problems of the search for a formal structure with which to ground mathematical practice also happened in the case of Debreu. We view this case study as an alternative exemplar to conventional discussions concerning the “unreasonable effectiveness” of mathematics in science.

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E. Artin 1953. “Review of Bourbaki [Elements, Book II, Chapters 1–7 (1942–52)].” Bulletin of the American Mathematical Society 59: 474–79.

Clive Beed , and Owen Kane . 1992. “What Is the Critique of the Mathematization of Economics?Kyklos 44: 581611.

Nicolas Bourbaki . [1948] 1950. “The Architecture of Mathematics.” Americam Mathematical Monthly 57: 221–32.

Henri Cartan . [1958] 1980. “Nicolas Bourbaki and Contemporary Mathematics.” The Mathematical Intelligencer 2(4): 175–80. Additionally published as “Nicolas Bourbaki und die heutige Mathematik,” Arbeitsgemeinschaft für Forschung des Landes Nord. Westf., vol. 76, 1979.

Gérard Debreu . 1986. “Theoretical Models: Mathematical Form and Economic Content.” Econometrica 54(6): 1259–70.

Jean Dieudonné . 1970. “The Work of Nicolas Bourbaki.” American Mathematical Monthly 77: 134–45.

Jean Dieudonné . 1992. Mathematics — The Music of Reason. Berlin: Springer Verlag.

Roy Epstein . 1987. A History of Econometrics. Amsterdam: North Holland.

John Ewing . 1992. “Review of The History of Modern Mathematics.” Historia Mathematica 19(1): 9398.

Denis Guedj . 1985. “Nicholas Bourbaki, Collective Mathematician: An Interview with Claude Chevalley,” translated by Jeremy Grey . Mathematical Intelligencer 7(2): 1822.

Werner Hildenbrand . 1994. Market Demand, Princeton, N.J.: Princeton University Press.

Rolf Mantel . 1974. “On the Characterization of Aggregate Excess Demand.” Journal of Economic Theory 7: 348–53.

A. Mathias 1992. “The Ignorance of Bourbaki.” Mathematical Intelligencer 14(3): 413.

Philip Mirowski . 1991. “The How, the When and the Why of Mathematical Expression in the History of Economics.” Journal of Economic Perspectives 5: 148–58.

paul A. Samuelson 1983. “The 1983 Nobel Prize in Economics.” Science 222: 987–89.

Hugo Sonnenschein . 1972. “Market Excess Demand Functions.” Econometrica 40: 549–63.

Hal Varian . 1984. “Gérard Debreu's Contribution to Economics.” Scandinavian Journal of Economics 86(1): 414.

Hermann Weyl . 1970. “David Hilbert and his Mathematical Work.” In Hilbert, edited by Constance Reid , 245–83. New York: Springer Verlag. This piece is a slight modification of the paper of the same title that originally appeared in 1944 in the Bulletin of the American Mathematical Society 50: 612–54.

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Science in Context
  • ISSN: 0269-8897
  • EISSN: 1474-0664
  • URL: /core/journals/science-in-context
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