The first stage in Hendry’s reduction theory revisited

The reduction theory of David F. Hendry provides a comprehensive probabilistic framework for the analysis and classification of the reductions associated with empirical econometric models. However, it is unable to provide an analysis on the sameunderlying probability space of the first reduction - and hence the subsequent reductions - given a commonplace theory of social reality, namely the joint hypotheses that the course of history is indeterministic, that history does not repeat itself, and that the future depends on the past. As a solution this essay proposes that the elements of the underlying outcome space in Hendry's theory are interpreted as indeterministic worlds made up of historically inherited particulars.