CHAPTER 1. INTENSIONAL LOGIC §1. Natural Language and Intensional Logic When we speak of a theory of meaning for a natural language such as English, ...

Counterfactuals is David Lewis' forceful presentation of and sustained argument for a particular view about propositions which express contrary to fact conditionals, including his famous defense of realism about possible worlds and his theory of laws of nature.

This paper embeds the core part of Discourse Representation Theory in the classical theory of types plus a few simple axioms that allow the theory to express key facts about variables and assignments on the object level of the logic. It is shown how the embedding can be used to combine core analyses of natural language phenomena in Discourse Representation Theory with analyses that can be obtained in Montague Semantics.

Partee (1973) noted anaphoric parallels between English tenses and pronouns. Since then these parallels have been analyzed in terms of type-neutral principles of discourse anaphora. Recently, Stone (1997) extended the anaphoric parallel to English modals. In this paper I extend the story to languages of other types. This evidence also shows that centering parallels are even more detailed than previously recognized. Based on this evidence, I propose a semantic representation language (Logic of Change with Centered Worlds), in which the observed (...) parallels can be formally analyzed. (shrink)

The purpose of this paper is to (a) show that the received view of the problem of quantificational subordination (QS) is incorrect, and that, consequently, existing solutions do not succeed in explaining the facts, and (b) provide a new account of QS. On the received view of QS within dynamic semantic frameworks, determiners treated as universal quantifiers (henceforth universal determiners) such as all, every, and each behave as barriers to inter-sentential anaphora yet allow anaphoric accessibility in a number of situations. (...) We argue that universal determiners are not intrinsic anaphora barriers and that anaphoric accessibility under them is enabled factors including lexicon information and discourse effects of universal determiners. In support of this viewpoint, we first provide a data survey on the phenomena of QS and its interactions with plurals, rhetorical relations, and adverbial quantification. The results of the survey show that judgments of (naive) native English speakers on the QS examples are quite different from what is claimed in the literature. We argue that the various solutions in the literature, which in general accept that universal determiners are intrinsic anaphora barriers, fail to account for the facts from the survey data. We then describe the approach we adopt, which denies that universal determiners are anaphora barriers and reconstructs their semantics so that information in their scope can be released for anaphora. The constraints on QS noted in the literature we model in Segmented Discourse Representation Theory (SDRT) as conditions on the discourse relations which can hold between subordinated constituents. We show that this approach accounts for the QS data. (shrink)

In the tradition of quantified modal logic, it was assumed that significantly different linguistic systems underlie reference to individuals, to times and to ‘possible worlds’. Various results from recent research in formal semantics suggest that this is not so, and that there is in fact apervasive symmetrybetween the linguistic means with which we refer to these three domains. Reference to individuals, times and worlds is uniformly effected through generalized quantifiers, definite descriptions, and pronouns, and in each domain grammatical features situate (...) the reference of terms as near, far or ‘further’ from the actual or from a reported speech act. We outline various directions in which a program ofontological symmetrycould be developed, and we offer in theAppendixa symmetric fragment developed in a logic that can be seen as a compromise between an extensional and an intensional system. (shrink)

In this volume, Geurts takes discourse representation theory (DRT), and turns it into a unified account of anaphora and presupposition, which he applies not only to the standard problem cases but also to the interpretation of modal expressions, attitude reports, and proper names. The resulting theory, for all its simplicity, is without doubt the most comprehensive of its kind to date. The central idea underlying Geurts' 'binding theory' of presupposition is that anaphora is just a special case of presupposition projection. (...) But this is only one of the ways in which the concept of presupposition is taken beyond its traditional limits. Geurts shows, furthermore, that presupposition projection is crucially involved in several phenomena that are not usually viewed in presuppositional terms, such as modal subordination, de re readings of attitude reports, and rigid designation. While making his case for DRT and the binding theory, Geurts also presents an incisive analysis of what is probably still the most influential account of presupposition, viz. the satisfaction theory, demonstrating that there are fundamental problems not only with this theory but with the very framework in which it is couched. (shrink)

In modal subordination, a modal sentence is interpreted relative to a hypothetical scenario introduced in an earlier sentence. In this paper, I argue that this phenomenon reflects the fact that the interpretation of modals is an ANAPHORIC process. Modal morphemes introduce sets of possible worlds, representing alternative hypothetical scenarios, as entities into the discourse model. Their interpretation depends on evoking sets of worlds recording described and reference scenarios, and relating such sets to one another using familiar notions of restricted, preferential (...) quantification. This proposal relies on an extended model of environments in dynamic semantics to keep track of associations between possible worlds and ordinary individuals; it assumes that modal meanings and other lexical meanings encapsulate quantification over possible worlds. These two innovations are required in order for modals to refer to sets of possible worlds directly as static objects in place of the inherently dynamic objects—quite different from the referents of pronouns and tenses—used in previous accounts. The simpler proposal that results offers better empirical coverage and suggests a new parallel between modal and temporal interpretation. (shrink)

Languages that have determiners often have a rich inventory of them. In English, indefinite determiners include a(n), some, a certain, this, one, another, cardinals, partitives, the zero determiner of bare plurals (in some analyses), and, according to Horn 1999 and Giannakidou 2001, any. Despite the attention indefinites have received in the literature, characterizing what is common to all of them and what is specific to each is still an elusive task. This paper investigates the first three determiners in this list, (...) attempting to provide a semantic characterization that accounts for their distribution. (For pertinent discussion of issues that overlap to some extent with those taken up below, see Kamp and Bende-Farkas 2002, and for a discussion of the French versions of some and a certain, see Jayez and Tovena (this volume).) The Ds that concern us here share two characteristics: (i) they are indefinite, and (ii) they are existential when not in the scope of any operator or quantifier. As seen in [1], they may occur as pivots in existential there constructions, and therefore all three form weak DPs. (shrink)