Indefinites and the Type of Sets explores a new theory of indefinite noun phrase interpretation and definiteness effects. Provides an introduction to aspects of the semantics of noun phrases, as well as comparing alternate theories. Explores a new theory of indefinite noun phrase interpretation and definiteness effects. Written accessibly by one of the world’s most prominent formal semanticists. Useful for students and scholars in formal semantics as well as the neighboring fields of syntax, pragmatics, and the philosophy of language.

Presents an encyclopaedic investigation of indefinite pronouns in the languages of the world. This book shows that the range of variation in the functional and formal properties of indefinite pronouns is subject to a set of universal implicational constraints, and proposes explanations for these universals.

This volume explores the interpretation of indefinites and the constraints on their distribution by paying particular attention to key issues in the interface between syntax and semantics: the relation between the semantic properties of indefinite determiners and the denotation of indefinite DPs, their scope, and their behaviour in generic and conditional sentences. Examples come from French, other Romance languages and English. Central to the proposed analyses is a distinction between two types of entities, individualized entities and amounts. Weak indefinites are analyzed as existential generalized quantifiers over amounts and strong indefinites as either Skolem terms or generalized quantifiers over individualized entities. The up-to-date review of the literature and the new falsifiable proposals contained in this book will be of particular interest to linguistics students and scholars interested in the cross-linguistic semantics of indefinites.

This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.

This book examines the semantics and pragmatics of determiners or pronouns that signal ignorance on the part of the speaker, such as Spanish algun. It offers novel empirical observations and important theoretical insights on epistemic indefinites and related topics such as modal free relatives, modified numerals, and epistemic modals.

This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.

This book investigates the syntactic and semantic development of a selection of indefinite pronouns and determiners (such as aliquis 'some', nullus 'no', and nemo 'no one') between Latin and the Romance languages. Although these elements have undergone significant diachronic change since the Classical Latin period, the modern Romance languages show a remarkable degree of similarity in the way their systems of indefinites have evolved and are structured today. In this volume, Chiara Gianollo draws on data from Classical and Late Latin texts, and from electronic corpora of the early stages of various Romance languages, to propose a new account of these similarities. The focus is primarily on Late Latin: at this stage, the grammar of indefinites already shows a number of changes, which are homogeneously transmitted to the daughter languages, leading to parallelism in the various emerging Romance systems. The volume demonstrates the value of using methods and models from synchronic theoretical linguistics for investigating diachronic phenomena, as well as the importance of diachronic research in understanding the nature of crosslinguistic variation and language change.

Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.

A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.

First published in 1998. In this book the author presents the view that although many linguists have been interested in specific indefinites, their theories are not quite satisfactory in that they have only tried to explore some aspects of specific indefinites. This paper assumes a standard notion of specificity, i.e., the notion of someone having-in-mind an individual or a relation. Under this assumption, there is an attempt to review previous studies on specific indefinites, and propose a new theory of specificity which I believe can capture all aspects which the previous studies have explored. This leads us to a new information theory which is partially representational and partially denotational., and which is useful for dealing with conversational aspects, like the distinction between the speaker and the audience.