Nominalising the numeric: an alternative to mathematical reduction in economics
提出一种将数字名词化的方法,用于分析经济学中数学还原的根本缺陷,帮助学者理解数学与非数学成分在理论形式化中的关系。
Mathematical reduction in economics is the attempt to reduce reasoning about human economic behaviour to the logic of numbers and numerical relations. The method of numerics shows how, in simple cases, the mathematical and non-mathematical components of economic theory can be both formally distinguished and integrated. However, in its compressed idiomatic form, this method treats numerics (the numerical terms in measuremental expressions) as determinatives (numerical adjectives) rather than as substantives. This paper shows how the numeric can be nominalised or given the grammatical status of a substantive. The method of numerics is then used to explore the fundamental flaws of mathematical reduction in economists' efforts to achieve logical rigour in the formalisation of economic theory. Copyright 2002, Oxford University Press.