Propositions and the Substitution Anomaly

Abstract

The Substitution Anomaly is the failure of intuitively coreferential expressions of the corresponding forms “that S” and “the proposition that S” to be intersubstitutable salva veritate under certain ‘selective’ attitudinal verbs that grammatically accept both sorts of terms as complements. The Substitution Anomaly poses a direct threat to the basic assumptions of Millianism, which predict the interchangeability of “that S” and “the proposition that S”. Jeffrey King has argued persuasively that the most plausible Millian solution is to treat the selective attitudinal verbs as lexically ambiguous, having distinct meanings associated with the different sorts of complement terms. In opposition this approach, I argue that there are independent reasons for maintaining the univocality of these verbs and that this can be done while accommodating the Substitution Anomaly and without sacrificing the transparency of the relevant attitude ascriptions. In particular, I show how, by employing an extended version of Edward Zalta’s system of intensional logic for abstract objects, one can construct for a regimented fragment ℜ of English containing the relevant vocabulary a semantical theory ℑ which (a) treats ℜ’s selective attitudinal verbs as univocal, (b) regards genuine terms as occurring transparently under such verbs in sentences of ℜ, and yet (c) predicts the occurrence of the Substitution Anomaly in ℜ.