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

This book offers a unique synthesis of past and current work on the structure, meaning, and use of negation and negative expressions, a topic that has engaged thinkers from Aristotle and the Buddha to Freud and Chomsky. Horn's masterful study melds a review of scholarship in philosophy, psychology, and linguistics with original research, providing a full picture of negation in natural language and thought; this new edition adds a comprehensive preface and bibliography, surveying research since the book's original publication.

This paper deals with the truth-Conditions and the logic for vague languages. The use of supervaluations and of classical logic is defended; and other approaches are criticized. The truth-Conditions are extended to a language that contains a definitely-Operator and that is subject to higher order vagueness.

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)

This paper is devoted to the study of bare nominal arguments (i.e., determinerless NPs occurring in canonical argumental positions) from a crosslinguistic point of view. It is proposed that languages may vary in what they let their NPs denote. In some languages (like Chinese), NPs are argumental (names of kinds) and can thus occur freely without determiner in argument position; in others they are predicates (Romance), and this prevents NPs from occurring as arguments, unless the category D(eterminer) is projected. Finally, (...) there are languages (like Germanic or Slavic) which allow both predicative and argumental NPs; these languages, being the ‘union’ of the previous two types, are expected to behave like Romance for certain aspects of their nominal system (the singular count portion) and like Chinese for others (the mass and plural portions). This hypothesis (the ‘Nominal Mapping Parameter’) is investigated not just through typological considerations, but also through a detailed contrastive analysis of bare arguments in Germanic (English) vs. Romance (Italian). Some general consequences of this view, which posits a limited variation in the mapping from syntax into semantics, for current theories of Universal Grammar and acquisition are considered. (shrink)

It is a truism that people speak ‘loosely’——that is, that they often say things that we can recognize not to be true, but which come close enough to the truth for practical purposes. Certain expressions. such as those including ‘exactly’, ‘all’ and ‘perfectly’, appear to serve as signals of the intended degree of approximation to the truth. This article presents a novel formalism for representing the notion of approximation to the truth, and analyzes the meanings of these expressions in terms (...) of this formalism. Pragmatic loosencss of this kind should be distinguished from authentic truth-conditional vagueness. (shrink)

English mass noun phrases & count noun phrases differ only minimally grammatically. The basis for the difference is ascribed to a difference in the features +/-CT. These features serve the morphosyntactic function of determining the available options for the assigment of grammatical number, itself determined by the features +/-PL: +CT places no restriction on the available options, while -CT, in the unmarked case, restricts the available options to -PL. They also serve the semantic function of determining the sort of denotation (...) associated with demonstrative & quantified noun phrases. The feature -CT requires that the associated denotation be the set whose sole member is the greatest aggregate of which the noun phrase or noun is true; the feature +CT requires that the associated denotation be the set whose members are all & only those minimal aggregates of which the noun phrase or noun is true. At the same time, neither mass NPs nor count NPs that are arguments of a predicate have their predicate evaluated with respect to their denotations. Rather, the predicate is evaluated with respect to an aggregation, a set of aggregates constructed from the denotation of the noun phrase that is an argument of the predicate. 3 Tables, 4 Figures, 74 References. AA. (shrink)

Precursors. 2.1 Introduction Thus far I have presented an approach to the semantics of plurals in the form of two rather similar grammars for a fragment of English. And I have given a few examples of the kinds of things one can say within this ...

This paper explores the link between number marking and(in)definiteness in nominals and their interpretation. Differencesbetween bare singulars and plurals in languages without determinersare explained by treating bare nominals as kind terms. Differencesarise, it is argued, because singular and plural kinds relatedifferently to their instantiations. In languages with determiners,singular kinds typically occur with the definite determiner, butplural/mass kinds can be bare in some languages and definite inothers. An account of singular kinds in terms of taxonomic readingsis proposed, with number marking playing (...) a crucial role inexplaining the obligatory presence of the determiner. The variationbetween languages with respect to plural/mass kinds is explained bypositing a universal scale of definiteness, with individual languageschoosing different cut-off points for lexicalization of the definitedeterminer. The possibility of further cross-linguistic variation isalso considered. (shrink)

In _The Boundaries of Babel_, Andrea Moro tells the story of an encounter between two cultures: contemporary theoretical linguistics and the cognitive neurosciences. The study of language within a biological context has been ongoing for more than fifty years. The development of neuroimaging technology offers new opportunities to enrich the "biolinguistic perspective" and extend it beyond an abstract framework for inquiry. As a leading theoretical linguist in the generative tradition and also a cognitive scientist schooled in the new imaging technology, (...) Moro is uniquely equipped to explore this. Moro examines what he calls the "hidden" revolution in contemporary science: the discovery that the number of possible grammars is not infinite and that their number is biologically limited. This radical but little-discussed change in the way we look at language, he claims, will require us to rethink not just the fundamentals of linguistics and neurosciences but also our view of the human mind. Moro searches for neurobiological correlates of "the boundaries of Babel" -- the constraints on the apparent chaotic variation in human languages -- by using an original experimental design based on artificial languages. He offers a critical overview of some of the fundamental results from linguistics over the last fifty years, in particular regarding syntax, then uses these essential aspects of language to examine two neuroimaging experiments in which he took part. He describes the two neuroimaging techniques used, but makes it clear that techniques and machines do not provide interesting data without a sound theoretical framework. Finally, he discusses some speculative aspects of modern research in biolinguistics regarding the impact of the linear structure of linguistics expression on grammar, and more generally, some core aspects of language acquisition, genetics, and evolution. (shrink)

Structures for Semantics offers an advanced course in logical and mathematical techniques and structures that are used in semantics, in relation to their semantic applications. The book helps students with a background in semantics to develop their skills of formalization and it makes research in semantics accessible. Workers in other disciplines will use it to discover more about the role of formal modelling in current semantic research, and about semantics itself. Following a chapter on logic and set theory there are (...) three parts of chapters: two pairs of chapters on partial order and equivalence relations in relation to semantic analyses of tense, partial information and vagueness; two chapters on methods for creating ordered structures in relation to intervals, events, and the semantics of change; two chapters on lattices and Boolean algebras in relation to types for noun phrases and verbs, and the semantics of plurals and mass nouns. For upper-level undergraduate students and graduate students in semantics: theoretical linguists, logicians, philosophers of language, computer scientists interested in natural language semantics. (shrink)

This paper documents the number-related properties of Dëne Sųłiné (Athapaskan). Dëne Sųłiné has neither number inflection nor numeral classifiers. Nouns are bare, occur as such in argument positions, and combine directly with numerals. With these traits, Dëne Sųłiné represents a type of language that is little considered in formal typologies of number and countability. The paper critiques one influential proposal, that of Chierchia (in: Rothstein (ed.) Events and grammar, 1998a; Natural Language Semantics 6: 339–405, 1998b), and presents an alternative number (...) typology, which introduces variation in the semantics of numerals. It will be shown that bare nouns in Dëne Sųłiné can be mass or count. Hence, the difference between count and mass cannot be expressed in terms of number, as in Chierchia. Instead, I express it in terms of atomicity. Mass nouns have nonatomic denotations, bare count nouns have atomic denotations that comprise singularities and pluralities. I also propose that numerals contain a function that accesses the singularities in a noun’s denotation. Hence they are compatible with bare count nouns, but not with mass nouns. In classifier languages, numerals denote a cardinality only; singularity-accessing functions are expressed in separate elements: the classifiers. Thus, languages like Chinese require classifiers because the numerals are semantically deficient, and not, as is assumed by Chierchia and others, the bare nouns. (shrink)

This chapter is concerned with representing the semantics of natural language plurals and mass terms in property theory; a weak first-order theory of Truth, Propositions and Properties with fine-grained intensionality (Turner 1990, Turner 1992, Aczel 1980). The theory allows apparently coreferring items to corefer without inconsistency. This is achieved by using property modifiers which keep track of the property used to refer to a term, much like Landman’s roles (Landman 1989). We can thus predicate apparently contradictory properties of “the judge” (...) and “the cleaner,” for example, even if they turn out to be the same individual. The same device can also be used to control distribution into mereological terms: when we say “the dirty water is liquid,” we can infer that those parts that are dirty water are liquid without inferring that the dirt is liquid. The theory shows how we can formalise some aspects of natural language semantics without being forced to make certain ontological commitments. This is achieved in part by adopting an axiomatic methodology. Axioms are proposed that are just strong enough to support intuitively acceptable inferences, whilst being weak enough for some ontological choices to be avoided (such as whether or not the extensions of mass terms should be homogeneous or atomic). The axioms are deliberately incomplete, just as in basic PT, where incomplete axioms are used to avoid the logical paradoxes. The axioms presented are deliberately too weak to say much about ”non-denoting’ definite descriptors. For example, we cannot erroneously prove that they are all equal. Neither can we prove that predication of such definites results in a proposition. This means that we cannot question the truth of sentences such as “the present king of France is bald.”. (shrink)