 Both Lewis [1972] and Cresswell [1985] are motivated by some of the same considerations that motivated neo-Russellians like Salmon and Soames. Lewis and Cresswell both wish to find a more fine grained “semantic value” for sentences than functions from worlds (or, as in Lewis [1972], indices) to truth values or, equivalently, sets of worlds. For example, Cresswell [1985] claims that verbs of propositional attitude are (sometimes) sensitive to more than the intensions (functions from worlds/indices to truth values) of the sentences they embed. Thus Cresswell claims that