Monsters begat by quantifiers?

It is common practice in formal semantics to assume that the context specifies an assignment of values to variables and that the same variables that receive contextually salient values when they occur free may also be bound by quantifiers and λs. These assumptions are at work to provide a unified account of indexical and bound uses of third person pronouns, namely an account by which the same lexical item is involved in both uses. One apparent consequence of this approach is that quantifiers and λs are monsters in Kaplan's sense. We argue that this consequence can, and should, be avoided. We explore an alternative unified account based on the idea that variable assignments occur both as coordinates of the context and as coordinates of the circumstance of evaluation. The outcome is a non indexical account of free third person pronouns and a new conception of the role and structure of assignment functions