Formalization plays an important role in semantics. Doing semantics and following the literature requires considerable technical sophistica tion and acquaintance with quite advanced mathematical techniques and structures. But semantics isn't mathematics. These techniques and structures are tools that help us build semantic theories. Our real aim is to understand semantic phenomena and we need the technique to make our understanding of these phenomena precise. The problems in semantics are most often too hard and slippery, to completely trust our informal understanding of them. This should not be taken as an attack on informal reasoning in semantics. On the contrary, in my view, very often the essential insight in a diagnosis of what is going on in a certain semantic phenomenon takes place at the informal level. It is very easy, however, to be misled into thinking that a certain informal insight provides a satisfying analysis of a certain problem; it will often turn out that there is a fundamental unclarity about what the informal insight actually is. Formalization helps to sharpen those insights and put them to the test."

Iceberg semantics is a new framework of Boolean semantics for mass nouns and count nouns in which the interpretation of a noun phrase rises up from a generating base and floats with its base on its Boolean part set, like an iceberg. The framework is shown to preserve the attractive features of classical Boolean semantics for count nouns; the book argues that Iceberg semantics forms a much better framework for studying mass nouns than the classical theory does. Iceberg semantics uses its notion of base to develop a semantic theory of the differences between mass nouns and count nouns and between different types of mass nouns, in particular between prototypical mass nouns (here called mess mass nouns) like water and mud versus object mass nouns (here called neat mass nouns) like poultry and pottery. The book shows in detail how and why neat mass nouns pattern semantically both with mess mass nouns and with count nouns. Iceberg semantics is a compositional theory and in Iceberg semantics the semantic distinctions defined apply to noun phrases of any complexity. The book studies in depth the semantics of classifier noun phrases (like three glasses of wine) and measure noun phrases (like three liters of wine). The classical wisdom is that classifier interpretations are count. Recent literature has argued compellingly that measure interpretations are mass. The book shows that both connections follow from the basic architecture of Iceberg semantics. Audience: Scholars and students in linguistics - in particular semantics, pragmatics, computational linguistics and syntax - and neighbouring disciplines like logic, philosophy of language, and cognitive science.

The main claim of this book is that the very same distinction between semantic singularity and plurality that is fundamental to the semantics of nouns in the nominal domain is operative and fundamental in the verbal domain as well, applying to verbs and verbal arguments roles. It is argued that collective interpretations of verbal arguments involve semantically singular argument roles, and that a large variety of other interpretations discussed in the literature - most importantly distributive and cumulative interpretations - can be reduced to semantic plurality. The book consists of three parts. The first part discusses Davidsonian and neo-Davidsonian event analyses of verbs and verbal roles. The second part discusses theories of semantic plurality, focussing on the analysis of collective, distributive, and cumulative readings. The third part develops a neo-Davidsonian theory of events and plurality, a theory of event-maximalization, and a theory of scopal relations, basing both the nominal and the verbal domain strictly on the semantic singularity/plurality distinction. This part provides a detailed analysis of nominal plurality, verbal plurality, and their interaction, and it is shown how these plurality interactions produce the effects of collective, distributive, cumulative, and related interpretations. The book will be of interest to theoretical linguists, in particular scholars and advanced students in semantics, or in neighboring fields of syntax, pragmatics, and computational linguistics. It will also be of interest to researchers in philosophy of language, logic, and cognitive science, and to computer scientists with an interest in the semantics of natural language.

Formalization plays an important role in semantics. Doing semantics and following the literature requires considerable technical sophistica tion and acquaintance with quite advanced mathematical techniques and structures. But semantics isn't mathematics. These techniques and structures are tools that help us build semantic theories. Our real aim is to understand semantic phenomena and we need the technique to make our understanding of these phenomena precise. The problems in semantics are most often too hard and slippery, to completely trust our informal understanding of them. This should not be taken as an attack on informal reasoning in semantics. On the contrary, in my view, very often the essential insight in a diagnosis of what is going on in a certain semantic phenomenon takes place at the informal level. It is very easy, however, to be misled into thinking that a certain informal insight provides a satisfying analysis of a certain problem; it will often turn out that there is a fundamental unclarity about what the informal insight actually is. Formalization helps to sharpen those insights and put them to the test."

Iceberg semantics is a new framework of Boolean semantics for mass nouns and count nouns in which the interpretation of a noun phrase rises up from a generating base and floats with its base on its Boolean part set, like an iceberg. The framework is shown to preserve the attractive features of classical Boolean semantics for count nouns; the book argues that Iceberg semantics forms a much better framework for studying mass nouns than the classical theory does. Iceberg semantics uses its notion of base to develop a semantic theory of the differences between mass nouns and count nouns and between different types of mass nouns, in particular between prototypical mass nouns (here called mess mass nouns) like water and mud versus object mass nouns (here called neat mass nouns) like poultry and pottery. The book shows in detail how and why neat mass nouns pattern semantically both with mess mass nouns and with count nouns. Iceberg semantics is a compositional theory and in Iceberg semantics the semantic distinctions defined apply to noun phrases of any complexity. The book studies in depth the semantics of classifier noun phrases (like three glasses of wine) and measure noun phrases (like three liters of wine). The classical wisdom is that classifier interpretations are count. Recent literature has argued compellingly that measure interpretations are mass. The book shows that both connections follow from the basic architecture of Iceberg semantics. Audience: Scholars and students in linguistics - in particular semantics, pragmatics, computational linguistics and syntax - and neighbouring disciplines like logic, philosophy of language, and cognitive science.