Modeling without representation

How can mathematical models which represent the causal structure of the world incompletely or incorrectly have any scientific value? I argue that this apparent puzzle is an artifact of a realist emphasis on representation in the philosophy of modeling. I offer an alternative, pragmatic methodology of modeling, inspired by classic papers by modelers themselves. The crux of the view is that models developed for purposes other than explanation may be justified without reference to their representational properties.

[1]  D. Hammond Friedman's Methodology Essay in Context , 2004 .

[2]  P. Suppes A comparison of the meaning and uses of models in mathematics and the empirical sciences , 1960, Synthese.

[3]  Kenneth N. Kuttner,et al.  A price target for U.S. monetary policy? Lessons from the experience with money growth targets , 1996 .

[4]  U. Mäki Unrealistic Assumptions and Unnecessary Confusions: Rereading and Rewriting F53? , 2004 .

[5]  E. Schliesser Inventing paradigms, monopoly, methodology, and mythology at ‘Chicago’: Nutter, Stigler, and Milton Friedman , 2012 .

[6]  Margaret Morrison,et al.  Models as Mediating Instruments , 1999 .

[7]  R. Thaler,et al.  Anomalies: Ultimatums, Dictators and Manners , 1995 .

[8]  M. Friedman,et al.  The Methodology of Positive Economics , 2010 .

[9]  Jay Odenbaugh,et al.  The strategy of “The strategy of model building in population biology” , 2007 .

[10]  William C. Brainard Uncertainty and the effectiveness of policy , 1967 .

[11]  Viola Schiaffonati,et al.  Representation and Invariance of Scientific Structures , 2006 .

[12]  Michael Weisberg Who is a Modeler? , 2007, The British Journal for the Philosophy of Science.

[13]  R. Iliffe,et al.  The methodology of the Principia , 2002 .

[14]  Michael Weisberg Three Kinds of Idealization , 2007 .

[15]  Arthur F. Burns,et al.  Methodology of Positive Economics" In Essays In Positive Economics , 2022 .

[16]  R. Giere Explaining Science: A Cognitive Approach , 1991 .

[17]  R. Lewontin,et al.  The Dialectical Biologist , 1987 .

[18]  Eric Schliesser,et al.  Galilean Reflections on Milton Friedman’s “Methodology of Positive Economics,” with Thoughts on Vernon Smith’s “Economics in the Laboratory” , 2005 .

[19]  Michael Weisberg,et al.  Forty Years of ‘The Strategy’: Levins on Model Building and Idealization , 2007 .

[20]  Peter Godfrey-Smith,et al.  The strategy of model-based science , 2007 .

[21]  R. Levins The strategy of model building in population biology , 1966 .

[22]  Uskali Mäki The Methodology of Positive Economics , 2009 .

[23]  R. Levins Evolution in Changing Environments , 1968 .

[24]  Risk Aversion and Optimal Macro Policy , 1979 .

[25]  Bruce J. Caldwell Beyond Positivism: Economic Methodology in the Twentieth Century , 1982 .