This book revives the study of conventional implicatures in natural language semantics. H. Paul Grice first defined the concept. Since then his definition has seen much use and many redefinitions, but it has never enjoyed a stable place in linguistic theory. Christopher Potts returns to the original and uses it as a key into two presently under-studied areas of natural language: supplements and expressives. The account of both depends on a theory in which sentence meanings can be multidimensional. The theory (...) is logically and intuitively compositional, and it minimally extends a familiar kind of intensional logic, thereby providing an adaptable, highly useful tool for semantic analysis. The result is a linguistic theory that is accessible not only to linguists of all stripes, but also philosophers of language, logicians, and computer scientists who have linguistic applications in mind. (shrink)

This paper investigates the way that linguistic expressions influence vagueness, focusing on the interpretation of the positive (unmarked) form of gradable adjectives. I begin by developing a semantic analysis of the positive form of ‘relative’ gradable adjectives, expanding on previous proposals by further motivating a semantic basis for vagueness and by precisely identifying and characterizing the division of labor between the compositional and contextual aspects of its interpretation. I then introduce a challenge to the analysis from the class of ‘absolute’ (...) gradable adjectives: adjectives that are demonstrably gradable, but which have positive forms that relate objects to maximal or minimal degrees, and do not give rise to vagueness. I argue that the truth conditional difference between relative and absolute adjectives in the positive form stems from the interaction of lexical semantic properties of gradable adjectives—the structure of the scales they use—and a general constraint on interpretive economy that requires truth conditions to be computed on the basis of conventional meaning to the extent possible, allowing for context dependent truth conditions only as a last resort. (shrink)

A challenge to the orthodoxy, which shows that quantificational accounts are not only as effective as direct reference accounts but also handle a wider range of ...

Some contextually sensitive expressions are such that their context independent conventional meanings need to be in some way supplemented in context for the expressions to secure semantic values in those contexts. As we’ll see, it is not clear that there is a paradigm here, but ‘he’ used demonstratively is a clear example of such an expression. Call expressions of this sort supplementives in order to highlight the fact that their context independent meanings need to be supplemented in context for them (...) to have semantic values relative to the context. Many philosophers and linguists think that there is a lot of contextual sensitivity in natural language that goes well beyond the pure indexicals and supplementives like ‘he’. Constructions/expressions that are good candidates for being contextually sensitive include: quantifiers, gradable adjectives including “predicates of personal taste”, modals, conditionals, possessives and relational expressions taking implicit arguments. It would appear that in none of these cases does the expression/construction in question have a context independent meaning that when placed in context suffices to secure a semantic value for the expression/construction in the context. In each case, some sort of supplementation is required to do this. Hence, all these expressions are supplementives in my sense. For a given supplementive, the question arises as to what the mechanism is for supplementing its conventional meanings in context so as to secure a semantic value for it in context. That is, what form does the supplementation take? The question also arises as to whether different supplementives require different kinds of supplementation. Let us call an account of what, in addition to its conventional meaning, secures a semantic value for a supplementive in context a metasemantics for that supplementive. So we can put our two questions thus: what is the proper metasemantics for a given supplementive; and do all supplementives have the same metasemantics? In the present work, I sketch the metasemantics I formulated for demonstratives in earlier work. Next, I briefly consider a number of other supplementives that I think the metasemantics I propose plausibly applies to and explain why I think that. Finally, I consider the prospects for extending the account to all supplementives. In so doing, I take up arguments due to Michael Glanzberg to the effect that supplementives are governed by two different metasemantics and attempt to respond to them. (shrink)

In his paper “What is a Context of Utterance?”, Christopher Gauker argues that the phenomenon of informative presuppositions is incompatible with the “pragmatic” view of presuppositions as involving requirements on the common ground, the body of shared assumptions of the participants in a conversation. This is a surprising claim since most proponents of this view have in fact dealt with informative presuppositions by appealing to a process called presupposition accommodation. Gauker’s attack shows the need to clarify the nature of this (...) process. (shrink)

Projective contents, which include presuppositional inferences and Potts's conventional implicatures, are contents that may project when a construction is embedded, as standardly identified by the FAMILY-OF-SENTENCES diagnostic. This article establishes distinctions among projective contents on the basis of a series of diagnostics, including a variant of the family-of-sentences diagnostic, that can be applied with linguistically untrained consultants in the field and the laboratory. These diagnostics are intended to serve as part of a toolkit for exploring projective contents across languages, thus (...) allowing generalizations to be examined and validated crosslinguistically. We apply the diagnostics in two languages, focusing on Paraguayan Guaraní, and comparing the results to those for English. Our study of Paraguayan Guaraní is the first systematic exploration of projective content in a language other than English. Based on the application of our diagnostics to a wide range of constructions, four subclasses of projective contents emerge. The resulting taxonomy of projective content has strong implications for contemporary theories of projection, which were developed for the projective properties of particular subclasses and fail to generalize to the full set of projective contents. (shrink)

Complex demonstrative phrases, in English, are phrases such as ‘that woman in the department’ and ‘that car on the corner’. They are of particular interest to philosophers for two related reasons. The first involves the problem of intentionality. If there are phrases that are candidates for “latching directly onto the world,” they are such phrases, and their “simple” counterparts, as in the occurrences of ‘that’ in ‘that is nice’. As a result, philosophers interested in intentionality, from the sense-data theorists to (...) contemporary philosophers of mind, have devoted considerable attention to the question of how a demonstrative thought links to its object. The second reason involves issues in semantics and the philosophy of language. In the course of investigations into the model theory for modal logic in the 1950s and 1960s, philosophers recognized that the simplest way to treat terms was as modally rigid, namely as designating their actual designations relative to any possible world in which they existed, and nothing else in other worlds. It was soon recognized that this semantic property could be elegantly explained by the assumption that the semantics of singular terms reflects the role of singular terms in linking representations directly to the world. If the semantic contribution of a singular term to a thought is simply the object it denotes, and the thought is the object of modal evaluation, then the modal rigidity of the class of terms falls out as a consequence. Demonstrative phrases, both simple and complex, have always been taken to be among the paradigms for this picture of reference, which has come to be known as “the direct reference” model. (shrink)

We review Potts’ influential book on the semantics of conventional implicature (CI), offering an explication of his technical apparatus and drawing out the proposal’s implications, focusing on the class of CIs he calls supplements. While we applaud many facets of this work, we argue that careful considerations of the pragmatics of CIs will be required in order to yield an empirically and explanatorily adequate account.