Nominalising the numeric: an alternative to mathematical reduction in economics

Mathematical reduction in economics is the attempt to reducereasoning about human economic behaviour to the logic of numbersand numerical relations. The method of numerics shows how, insimple cases, the mathematical and non-mathematical componentsof economic theory can be both formally distinguished and integrated.However, in its compressed idiomatic form, this method treatsnumerics (the numerical terms in measuremental expressions)as determinatives (numerical adjectives) rather than as substantives.This paper shows how the numeric can be nominalised or giventhe grammatical status of a substantive. The method of numericsis then used to explore the fundamental flaws of mathematicalreduction in economists' efforts to achieve logical rigour inthe formalisation of economic theory.