This paper offers a new unified theory about the meaning of the imperfective and progressive aspects that builds on earlier of analyses in the literature that treat the imperfective as denoting a universal quantifier (e.g. Bonomi, Linguist Philos, 20(5):469–514, 1997; Cipria and Roberts, Nat Lang Semant 8(4):297–347, 2000). It is shown that the problems associated with such an analysis can be overcome if the domain of the universal quantifier is taken to be a partition of a future extending interval into (...) equimeasured cells. Treating the partition-measure (the length of each partition-cell) as a contextually dependent variable allows for a unified treatment of the habitual and event-in-progress readings of the imperfective. It is argued that the contrast between the imperfective and the progressive has to do with whether the quantifier domain is a regular partition of the reference interval or a superinterval of the reference interval. (shrink)

In the accounts we give of one another, claims about our abilities appear to be indispensable. Some abilities are so widespread that many who have them take them for granted, such as the ability to walk, or to write one's name, or to tell a hawk from a handsaw. Others are comparatively rare and notable, such as the ability to hit a Major League fastball, or to compose a symphony, or to tell an elm from a beech. In either case, (...) however, when we ascribe such abilities to one another we have the impression that we are making claims that, whether they are worth saying or not, are at least sometimes true. The impression of truth exerts a pressure towards giving a philosophical theory of ability. It is not an option, at least at the outset, to dismiss all our talk of ability as fiction or outright falsehood. A theory of ability can be reasonably expected to say what it is to have an ability in a way that vindicates the appearance of truth. Such a theory will deserve the name “philosophical” insofar as it gives an account, not of this or that range of abilities, but of abilities generally. (shrink)

This paper discusses the interaction of aspect and modality, and focuses on the puzzling implicative effect that arises when perfective aspect appears on certain modals: perfective somehow seems to force the proposition expressed by the complement of the modal to hold in the actual world, and not merely in some possible world. I show that this puzzling behavior, originally discussed in Bhatt (1999, Covert modality in non-finite contexts) for the ability modal, extends to all modal auxiliaries with a circumstantial modal (...) base (i.e., root modals ), while epistemic interpretations of the same modals are immune to the effect. I propose that implicative readings are contingent on the relative position of the modal w.r.t. aspect: when aspect scopes over the modal (as I argue is the case for root modals), it forces an actual event, thereby yielding an implicative reading. When a modal element scopes over aspect, no actual event is forced. This happens (i) with epistemics, which structurally appear above tense and aspect; (ii) with imperfective on a root modal: imperfective brings in an additional layer of modality, itself responsible for removing the necessity for an actual event. This proposal enables us to solve the puzzle while maintaining a standardized semantics for aspects and modals. (shrink)

Since there are independent reasons for associating the habitual reading of the imperfective, in Italian, to a logical form based on universal or generic quantification, the purpose of Part I is to see how this kind of semantical structure accounts for another important interpretation of the imperfective: the progressive reading. And since in some particular cases the imperfective can also have a marginal interpretation which can be assimilated to a perfective effect (it is the so-called “narrative” reading), a further problem (...) is how to provide a reasonable explanation for this phenomenon too. If one considers the co-occurrence of the imperfective with different event predicates (in particular, accomplishments and achievements) it is possible to show that, with some minimal assumptions, the theoretical framework under discussion correctly predicts the following facts, which represent a crucial, but puzzling, characteristic of the imperfective in Italian: (i) activities allow for the progressive reading of the imperfective, but not the “narrative” reading; (ii) with achievements we have the opposite situation; (iii) accomplishments are compatible with both these readings. From this point of view, the semantic properties of the progressive reading of the imperfective are quite distinct from those of the perifrasi progressiva, which is the specialized form used in Italian to express the progressive meaning. Part II, which addresses the issue of the intensional character of both forms of the progressive, is more problematic, in the sense that it takes into consideration a possible extension of the theoretical framework presented in Part I. First of all I discuss some examples which clearly show that the perifrasi progressiva calls for some sort of “branching” representation of time, for it crucially refers to future courses of events which are not realized in the real world. On the other hand, since similar examples can be found in the case of the progressive reading of the imperfective, the main problem is represented by the fact that the kind of logical form under discussion is not completely adequate to account for such intensional phenomena.. (shrink)

This book combines insights from philosophy and linguistics to develop a novel framework for theorizing about linguistic meaning and the role of context in interpretation. A key innovation is to introduce explicit representations of context — assignment variables — in the syntax and semantics of natural language. The proposed theory systematizes a spectrum of “shifting” phenomena in which the context relevant for interpreting certain expressions depends on features of the linguistic environment. Central applications include local and nonlocal contextual dependencies with (...) quantifiers, attitude ascriptions, conditionals, questions, and relativization. The result is an innovative, philosophically informed compositional semantics compatible with the truth-conditional paradigm. (shrink)

This paper investigates the semantics of tense and aspect in Romance languages. Its goal is to develop a compositional, model-theoretic semantics for tense and temporal adverbs which is sensitive to aspectual distinctions. I will consider durative adverbial distributions and aspectual contrasts across different morphological tense forms. I will examine tense selection under habitual meanings, generic meanings and state of result constructions. In order to account for these facts I will argue that temporal homogeneity plays a fundamental role in tense selection (...) in Romance languages. (shrink)

This paper deals with the interpretation and distribution of universal Free Choice (FC) items, such as English FC any or Spanish cualquiera. Crosslinguistically, universal FC items can be characterized as follows. First, they have a restricted distribution. Second, they express freedom of choice: the sentence You can take any card conveys the information that the addressee is free to pick whichever card she chooses. Under standard assumptions, the truth conditions of sentences like You can take any card are taken to (...) be captured by formalizations in which a universal quantifier ranging over individuals has wide scope over the possibility modal. The crucial observation that informs the account in this paper is that this type of formalization cannot capture the freedom of choice component. I will argue that in order to derive the right interaction between possibility modals and FC items, we need to add an exclusiveness condition to the standard wide scope paraphrases. The same proposal that guarantees freedom of choice will automatically account for the distribution restrictions of FC items. The formal implementation of this proposal is cast in the Hamblin semantics proposed in Kratzer and Shimoyama (Indeterminate phrases: The view from Japanese, 2002). (shrink)