This paper develops a semantic analysis of data like It is getting colder and colder. Their meaning is argued to arise from a combination of a comparative with pluractionality. The analysis is embedded in a general theory of plural predication and pluractionality. It supports a semantic theory involving a family of syntactic plural operators.

The semantics of directional prepositions is investigated from the perspective of aspect. What distinguishes telic PPs (like to the house) from atelic PPs (like towards the house), taken as denoting sets of paths, is their algebraic structure: atelic PPs are cumulative, closed under the operation of concatenation, telic PPs are not. Not only does this allow for a natural and compositional account of how PPs contribute to the aspect of a sentence, but it also guides our understanding of the lexical (...) semantics of prepositions in important ways. Semantically, prepositions turn out to be quite similar to nouns and verbs. Nominal distinctions (like singular and plural, mass and count) and verbal classes (like semelfactives and degree achievements) have their prepositional counterparts. (shrink)

The Strongest Meaning Hypothesis of Dalrymple et al (1994,1998), which was originally proposed as a principle for the interpretation of reciprocals, is extended in this paper into a general principle of plural predication. This principle applies to complex predicates that are composed of lexical predicates that hold of atomic entities, and determines the pluralities in the extension of the predicate. The meaning of such a complex predicate is claimed to be the truth-conditionally strongest meaning that does not contradict lexical properties (...) of the simple predicates it contains. Weak interpretations of reciprocals (as in the books are stacked on top of each other), plural predicate conjunction (e.g. the books are old and new) and ’atomic’ distributivity in general are derived by a unified mechanism, which ’weakens’ the basic universal meanings of strong reciprocals, boolean conjunction and quantification over atomic entities. (shrink)

This paper investigates the semantics of adverbials like ‘page by page’ and ‘stone upon stone’. An analysis is developed in which sentences containing such adverbials have a pluractional semantics; that is, pluralization affects simultaneously the event- and the individual-argument slot of a predicate. Sternefeld's system of plural operators is used and extended for this purpose. The adverbial constrains the relation that is pluralized and makes visible a higher plural operator. In the case of ‘page by page’-type adverbials, this is a (...) fairly standard operator that leads to a simple divisional interpretation. In the case of ‘stone upon stone’-type adverbials, the operator has a stronger semantics that leads to a sequence interpretation. The generality of our theory permits straightforward extension to data like ‘she ran and ran’ and ‘she climbed higher and higher’, among others. Finally we propose that inclusive alternative ordering reciprocals have a pluractional sequence interpretation as well. (shrink)

Recent semantic research has made increasing use of a principle, Maximize Presupposition, which requires that under certain circumstances the strongest possible presupposition be marked. This principle is generally taken to be irreducible to standard Gricean reasoning because the forms that are in competition have the same assertive content. We suggest, however, that Maximize Presupposition might be reducible to the theory of scalar implicatures. (i)First, we consider a special case: the speaker utters a sentence with a presupposition p which is not (...) initially taken for granted by the addressee, but the latter takes the speaker to be an authority on the matter. Signaling the presupposition provides new information to the addressee; but it also follows from the logic of presupposition qua common belief that the presupposition is thereby satisfied (Stalnaker, Ling Philos 25(5–6):701–721, 2002). (ii) Second, we generalize this solution to other cases. We assume that even when p is common belief, there is a very small chance that the addressee might forget it (‘Fallibility’); in such cases, marking a presupposition will turn out to generate new information by re-establishing part of the original context. We also adopt from Raj Singh (Nat Lang Semantics 19(2):149–168, 2011) the hypothesis that presupposition maximization is computed relative to local contexts—and we assume that these too are subject to Fallibility; this accounts for cases in which the information that justifies the presupposition is linguistically provided. (iii) Finally, we suggest that our assumptions have benefits in the domain of implicatures: they make it possible to reinterpret Magri’s ‘blind’ (i.e. context-insensitive) implicatures as context-sensitive implicatures which just happen to be misleading. (shrink)

We examine an argument for the non-context-freeness of English that has received virtually no discussion in the literature. It is based on adjuncts of the form 'X or no X', where X is a nominal. The construction has been held to exemplify unbounded syntactic reduplication. We argue that although the argument can be made in a mathematically valid form, its empirical basis is not secure. First, the claimed unbounded syntactic identity between nominals does not always hold in attested cases, and (...) second, an understanding of the semantics of the construction removes the necessity of making reference to any syntactic reduplication. (shrink)

Throughout, the emerging theory of aspect is extensively compared with alternative theories, and the book concludes with general reflections on the semantic ...

When we speak, we mean more than we say. In this book Stephen C. Levinson explains some general processes that underlie presumptions in communication.

The paper develops Lambda Grammars, a form of categorial grammar that, unlike other categorial formalisms, is non-directional. Linguistic signs are represented as sequences of lambda terms and are combined with the help of linear combinators.

(1) a. The fog extended from London toward Paris. (the state reading is an extent reading (Jackendoff 1990)) b. Debris covered the outfield. c. Water filled the glass.

We present diverse evidence for the claim of Pullum and Rawlins (2007) that expressives behave differently from descriptives in constructions that enforce a particular kind of semantic identity between elements. Our data are drawn from a wide variety of languages and construction types, and they point uniformly to a basic linguistic distinction between descriptive content and expressive content (Kaplan 1999; Potts 2007).

The English NPN construction, exemplified by construction after construction, is productive with five prepositions — by, for, to, after, and upon — with a variety of meanings, including succession, juxtaposition, and comparison; it also has numerous idiomatic cases. This mixture of regularity and idiosyncrasy lends itself to an account in the spirit of construction grammar, in which the..