Reference to Possible Worlds1 Matthew Stone Center for Cognitive Science and Department of Computer Science Rutgers University 152 Frelinghuysen Road, Piscataway NJ 08854-8020
[email protected] Summary In modal subordination, a modal sentence is interpreted relative to a hypotheti- cal scenario introduced in an earlier sentence. In this paper, I argue that this phe- nomenon re¯ects the fact that the interpretation of modals is an ANAPHORIC pro- cess. Modal morphemes introduce sets of possible worlds, representing alternative hypothetical scenarios, as entities into the discourse model. Their interpretation de- pends on evoking sets of worlds recording described and reference scenarios, and relating such sets to one another using familiar notions of restricted, preferential quanti®cation. This proposal relies on an extended model of environments in dy- namic semantics to keep track of associations between possible worlds and ordinary individuals; it assumes that modal meanings and other lexical meanings encapsu- late quanti®cation over possible worlds. These two innovations are required in or- der for modals to refer to sets of possible worlds directly as static objects in place of the inherently dynamic objectsÐquite different from the referents of pronouns and tensesÐused in previous accounts. The simpler proposal that results offers better empirical coverage and suggests a new parallel between modal and temporal inter- pretation. 1 Introduction Modal statements in natural language admit quite precise construals in context. Dis- course (1) illustrates this. (1) a I want to hold a barbecue. b Some vegetarians may be coming. c What can I do for them? 1Thanks to Mark Steedman and Dan Hardt for extensive comments, and Filippo Beghelli, Maria Bittner, Anoop Sarkar, Roger Schwarzschild, Beverly Spejewski, and pragmatics and computational semantics seminars at Penn for helpful discussion.