The Ramsey View

Abstract

In this chapter a second proposal for using a set-theoretic predicate to make empirical claims is considered. This proposal is quite similar to the method of dealing with theoretical terms proposed by Frank Ramsey [34]. The relation between these two proposals, as well as some formal questions raised by taking this line, will be examined. Among these questions is the possibility of getting on without theoretical functions. An attempt is made to define a concept of eliminability of theoretical functions which is applicable to situations in which set-theoretical predicates are being used to illuminate the logical structure of a theory. Finally the question of the adequacy of this proposal to the task of logical reconstruction will be considered. It will be seen that this proposal is inadequate because it fails to provide a means of accounting for the ways measured values of theoretical functions appear to be used in existing expositions of theories.