Craige Roberts

We define a notion of projective meaning which encompasses both classical presuppositions and phenomena which are usually regarded as non-presuppositional but which also display projection behavior—Horn’s assertorically inert entailments, conventional implicatures (both Grice’s and Potts’) and some conversational implicatures. We argue that the central feature of all projective meanings is that they are not-at-issue, defined as a relation to the question under discussion. Other properties differentiate various sub-classes of projective meanings, one of them the class of presuppositions according to Stalnaker. This principled taxonomy predicts differences in behavior unexpected on other models among the various conventional triggers and conversational implicatures, while holding promise for a general, explanatory account of projection which applies to all the types of meanings considered.

This chapter focuses on four questions which help to understand the presupposition accommodation as Lewis defines it. The first is a question about how we recognize that an utterance involves a presupposition. The second question is about what it is to accommodate. The third question has to do with the role of scoreboard in accommodation. The fourth question has to do with Lewis's ceteris paribus condition. The chapter considers the characterization of accommodation due to Thomason, and argues that it appropriately extends the range of phenomena taken to involve accommodation. It discusses a theory of the scoreboard building on Lewis's characterization which crucially reflects the interlocutors’ recognized goals and plans in language game, and argues that this type of scoreboard plays a natural role in facilitating and constraining accommodation. The author argues that some strong limits are a natural consequence of the nature of the game and its scoreboard.

We assume a central thesis about modal auxiliaries due to Angelika Kratzer, the modal base presupposition: natural language expressions that contain a modal component in their meaning, including all English modal auxiliaries and epistemic modal auxiliaries (EMA)s in particular, presuppose a modal base, a function that draws from context a relevant set of propositions which contribute to a premise-semantics for the modal. Accepting this thesis for EMAs leaves open (at least) the following two questions about the meaning of English EMAs like _must_ and _might_: (i) What constraints, if any, are there on the character of the premise set for an EMA? And (ii) what is the nature of the relationship between premises and conclusion that is required for truth of the EMA statement? I argue for at least a partial answer to (i), with a hypothesis about constraints on the modal base for an EMA: EMAs, unlike some other types of modals, are indexical: They are anchored to an agent-in-a-situation whose doxastic state is currently under discussion in the context of utterance. Realized in a Kratzerian semantics, indexicality sheds new light on a number of outstanding puzzles, including the widely observed variability of anchoring of EMAs, the ways in which EMAs differ from so-called root modals, Yalcin’s (Mind 116:983–1026, 2007) puzzle (a version of Moore’s paradox for epistemic modals embedded under attitudes), how to explain the apparent weakness of necessity EMAs, and problems with second order belief and disagreement.

The empirical phenomenon at the center of this paper is projection, which we define (uncontroversially) as follows: (1) Definition of projection An implication projects if and only if it survives as an utterance implication when the expression that triggers the implication occurs under the syntactic scope of an entailment-cancelling operator. Projection is observed, for example, with utterances containing aspectual verbs like stop, as shown in (2) and (3) with examples from English and Paraguayan Guaraní (Paraguay, Tupí-Guaraní).1 The Guaraní example in (2) and its English translation have at least the following implications: (i) Carla has previously smoked, and (ii) Carla stopped smoking. The first but not the second of these implications is also conveyed by the question version of sentence (2), as in (3a), or when (2) is embedded under entailment-cancelling sentential operators, such as negation, as in (3b), the antecedent of a conditional, as in (3c), or an epistemic modal, as in (3d). Hence, by the definition in (14), the first but not the second implication of (2) projects

A framework for pragmatic analysis is proposed which treats discourse as a game, with context as a scoreboard organized around the questions under discussion by the interlocutors. The framework is intended to be coordinated with a dynamic compositional semantics. Accordingly, the context of utterance is modeled as a tuple of different types of information, and the questions therein — modeled, as is usual in formal semantics, as alternative sets of propositions — constrain the felicitous flow of discourse. A requirement of Relevance is satisfied by an utterance (whether an assertion, a question or a suggestion) iff it addresses the question under discussion. Finally, it is argued that the prosodic focus of an utterance canonically serves to reflect the question under discussion (at least in English), placing additional constraints on felicity in context.

Spanish verbs display two past-tense forms, the pret´rito and the imperfecto. We offer an account of the semantics of these forms within a situation semantics, addressing a number of theoretically interesting questions about how to realize a semantics for tense and events in that type of framework. We argue that each of these forms is unambiguous, and that the apparent variety of readings attested for them derives from interaction with other factors in the course of interpretation. The meaning of the imperfecto is constrained to always reflect atelic aktionsart. In addition, it contains a modal element, and a contextually-given accessibility relation over situations constrains the interpretation of the modal in ways that give rise to all the attested readings. The pret´rito is indeterminate with respect to aktionsart, neither telic nor atelic. One or the other aktionsart may be forced by other factors in the clause in which the pret´rito occurs, as well as by pragmatic contrast with the possibility of using the imperfecto

As a graduate student in Linguistics at UMass/Amherst in the 1980s, I was fortunate to be exposed to a number of new developments bearing on the relationship between formal semantics and pragmatics. In the 1970s under the influence of Cresswell, Lewis, Montague, and Partee, enormous progress in semantics was made possible by narrowing the focus of the field mainly to the consideration of the conventional, truth conditional content of an indicative utterance, calculated compositionally as a function of the semantic contributions of its parts and its syntactic structure. Context was typically relegated to the background, in the form of indices of evaluation, though occasionally popping out for more serious consideration, as in the work of Kaplan, Karttunen, and Stalnaker. But eventually the nature of the rigorous formal enterprise itself, confronted with phenomena like Geach’s donkey sentences, presupposition projection, and the context-dependence of tense and aspect, forced the field into a more careful, thorough reconsideration of the relationship between context and content. Hence were born the dynamic theories of interpretation, beginning with Hans Kamp (1981) and Irene Heim (1982), who were both at UMass during my stay there, Heim completing her dissertation and Kamp on the faculty in Philosophy. Such frameworks posit a dynamic interchange between content and context, each dependent on the other, even in the course of interpreting a single utterance. Mats Rooth was also a graduate student at UMass at that time, and wrote his influential dissertation (1985) proposing an alternative semantics for the interpretation of prosodic focus, inter alia shedding light on how focus contributes to the contextual domain restriction of various operators

In the semantic literature, there is a class of examples involving anaphora in intensional contexts, i.e. under the scope of modal operators or propositional attitude predicates, which display anaphoric relations that appear at first glance to violate otherwise well-supported generalizations about operator scope and anaphoric potential. In Section 1,I will illustrate this phenomenon, which, for reasons that should become clear below, I call modal subordination; I will develop a general schema for its identification, and show how it poses problems for most theories of scope and anaphoric relations. In Section 2, I will review the main approaches which have been considered in attempting to account for modal subordination and argue that only an approach involving accommodation can account for the full range of examples. The notion of accommodation is due to Lewis, who defines it as follows: If at time t something is said that requires presupposition P to be acceptable, and if P is not presupposed just before t, then - ceteris paribus and within certain limits - presupposition P comes into existence at t.(Lewis 1979: 340) The interesting question, of course, is what the limits on accommodation might be. I believe that the proper account of modal subordination has something to say about this. I will argue this briefly in section 3, where I draw some conclusions and also sketch some ...