Understanding the relationship between mathematics and economics

Abstract

Weintraub's study shows that mathematics does not provide a fixed point of reference for economics. He explains how the notions of rigor and consistency have changed within mathematics over the years, and how it has proved impossible to express mathematics itself as a complete formal system. As a result, we can see more clearly that there is methodological confusion embedded in much applied economics, which gives priority to mathematical expression. In providing this account, Weintraub raises historiographical issues, which we address here--notably who should construct histories, given the normative content of all approaches (including science studies)?