The papers in this volume address central issues in the study of Plurality and Quantification from three different perspectives: • Algebraic approaches to Plurals and Quantification • Distributivity and Collectivity: Theoretical Foundations • Distributivity and Collectivity: Empirical Investigations Algebraic approaches to the semantics of natural languages were in dependently introduced for the study of generalized quantification, pred ication, intensionality, mass terms and plurality. The most prominent modern advocate for an algebraic theory of plurality (and mass terms) is certainly Godehard Link. It is indicative of the Wirkungsgeschichte of Link's work that most of the contributions in this volume take the logic of plurals proposed by Godehard Link (Link 1983, 1987) as their foundation or, at the very least, as their point of reference. Link's own paper in this volume provides a concise summary of many of the central research issues that have engaged semanticists during the last decade. Link's paper also contains an extensive bibliography that provides an excellent resource for scholars interested in the semantics of plurals. Since we can refer readers to Link's paper for an excellent survey of the subject matter of this book, we will limit our attention in this in troduction to summarizing the individual contributions in this volume. The book is organized into three main sections; within each section the papers are ordered alphabetically. However, as in much of linguistic the orizing, there is an exception: for reasons pointed out above, Godehard Link's article appears as Chapter 1.

The eight papers collected in Plurality and Quantification address three central issues in the study of plurality and quantification in natural languages. The first major theme regards algebraic approaches to plurals and quantification that have emerged as the leading paradigm for the study of these empirical phenomena over the last decade. The second main issue concerns the philosophical and mathematical foundations of concepts such as distributivity and collectivity. Finally, the authors address a broad range of empirical phenomena in Germanic and Romance languages, including the influence of Aktionsart on plural noun phrases, negative polarity, mass terms, plural quantification, and noun phrase conjunction. Many of the papers shed new light on the question of how many readings have to be assigned to plural sentences and on the respective consequences for the architecture of the syntax-semantics interface. Furthermore, most of the contributions contain insights which bear upon the study of the structure of universal grammar. Audience: Plurality and Quantification will interest linguists, graduate students in semantics and syntax, philosophers of language and philosophical logicians interested in the semantics of natural language.

This monograph proposes a comparative approach to all the ways of denoting ‘more than one’ entity, from collective and aggregate nouns (with the first-ever typology), to count plurals, partly substantivised adjectives and conjoined NPs. This semantic feature approach to plurality, which cuts across number, the count/non-count distinction, and lexical/NP levels, reveals a very consistent Scale of Unit Integration, which establishes clear-cut boundaries for collective nouns, and accommodates cases such as three elephant, cattle or a chain of islands. The study also offers a refined understanding of aggregate nouns (a category nearly as large as that of collective nouns) and quantification in pseudo-partitives, develops Guillaume’s notion of ‘internal plurality’, and proposes the innovative concept of ‘hyperonyms of plural classes’ (e.g. furniture). The Animacy Hierarchy is also found to be influential, beyond hybrid agreement. The book aims to be accessible to scholars of any theoretical background interested in these topics.

Formal semantics - the scientific study of meaning in natural language - is one of the most fundamental and long-established areas of linguistics. This Handbook offers a comprehensive, yet compact guide to the field, bringing together research from a wide range of world-leading experts. Chapters include coverage of the historical context and foundation of contemporary formal semantics, a survey of the variety of formal/logical approaches to linguistic meaning and an overview of the major areas of research within current semantic theory, broadly conceived. The Handbook also explores the interfaces between semantics and neighbouring disciplines, including research in cognition and computation. This work will be essential reading for students and researchers working in linguistics, philosophy, psychology and computer science.

The goal of this book is to explore the relationship between the cognitive notion of parthood and various grammatical devices expressing this concept in natural language. The monograph aims to investigate syntactic constructions and lexical categories, e.g., partitives, whole-adjectives, and multipliers, encoding different kinds of part-whole structures both in Slavic and non-Slavic languages. It is envisioned to inspire radical rethinking of the ontology of models accounting for nominal semantics. Specifically, it provides novel evidence for a mereotopological approach to meaning, i.e., a theory of wholes that captures not only parthood but also topological relations holding between parts. This evidence comes from the phenomenon of subatomic quantification, i.e., quantification over parts of referents of concrete count nouns.

Unity and Plurality presents novel ways of thinking about plurality while casting new light on the interconnections among the logical, philosophical, and linguistic aspects of plurals. The volume brings together new work on the logic and ontology of plurality and on the semantics of plurals in natural language. Plural reference, the view that definite plurals such as 'the students' refer to several entities at once (the individual students), is an approach favoured by logicians and philosophers, who take sentences with plurals ('the students gathered') not to be committed to entities beyond individuals, entities such as classes, sums, or sets. By contrast, linguistic semantics has been dominated by a singularist approach to plurals, taking the semantic value of a definite plural such as 'the students' to be a mereological sum or set. Moreover, semantics has been dominated by a particular ontological view of plurality, that of extensional mereology. This volume aims to build a bridge between the two traditions and to show the fruitfulness of nonstandard mereological approaches. A team of leading experts investigates new perspectives that arise from plural logic and non-standard mereology and explore novel applications to natural language phenomena.

Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.