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distributivity as a bridge between aspect and measurement
This book uses mathematical models of language to explain why there are certain gaps in language: things that we might expect to be able to say but can't. Lucas Champollion offers a theory that unifies the concepts of aspect, plural and mass reference, measurement, and distributivity, to account for these gaps.
Cover; Parts of a Whole: Distributivity as a Bridge Between Aspect and Measurement; Copyright; Contents; General preface; Acknowledgments; Abbreviations; 1: Overview; 1.1 Introduction; 1.2 The central metaphor; 1.3 Overview of things to come; 1.4 Ways to read this book; 2: The stage; 2.1 Introduction; 2.2 Notational conventions; 2.3 Mereology; 2.3.1 Foundations of algebraic semantics; 2.3.2 Axiomatizations of classical mereology; 2.3.3 Mereology vs. set theory; 2.3.4 Algebraic closure, atomicity, and groups; 2.3.5 Higher-order properties; 2.4 Ontology; 2.4.1 Ordinary objects (type e)
2.4.2 Kinds (type e)2.4.3 Events (type v); 2.4.4 Intervals (type i); 2.4.5 Degrees (type d); 2.4.6 Numbers (type n); 2.5 Functions; 2.5.1 Thematic roles (type); 2.5.2 Trace functions: runtime and location (type); 2.5.3 Measure functions (types and); 2.5.4 Unit functions (types and); 2.5.5 The cardinality function (type); 2.6 Nouns; 2.6.1 Singular count nouns; 2.6.2 Plural count nouns; 2.6.3 Measure nouns; 2.6.4 Group nouns; 2.6.5 Mass nouns; 2.6.6 Kind-referring readings; 2.7 Verbs; 2.7.1 The Neo-Davidsonian position and its alternatives
2.7.2 Lexical cumulativity2.8 Noun phrases; 2.9 Prepositional phrases; 2.10 The compositional process; 3: The cast of characters; 3.1 Introduction; 3.2 Pseudopartitives; 3.3 For-adverbials; 3.4 Adverbial-each constructions; 4: The theory; 4.1 Introduction; 4.2 What is distributivity?; 4.2.1 Quantificational distributivity; 4.2.2 Relational distributivity; 4.2.3 Predicative distributivity; 4.3 Distributive constructions; 4.3.1 For-adverbials are distributive constructions; 4.3.2 Pseudopartitives are distributive constructions; 4.4 The components of a distributive relation
4.5 The constraints on distributive constructions4.5.1 Capturing predicative distributivity; 4.5.2 Adverbial each; 4.5.3 Temporal for-adverbials; 4.5.4 Pseudopartitives; 4.6 Unifying the constraints; 4.7 Compositional implementation; 4.8 Summary; 5: Minimal parts; 5.1 Introduction; 5.2 The minimal-parts problem; 5.2.1 The minimal-parts problem for verbal predicates; 5.2.2 The minimal-parts problem for mass nouns; 5.3 Previous accounts of the minimal-parts problem; 5.3.1 Dowty (1979); 5.3.2 Hinrichs (1985); 5.3.3 Moltmann (1989, 1991); 5.3.4 Link (1991b); 5.3.5 Borik (2006); 5.3.6 Summing up
5.4 Stratified reference as a solution to the minimal-parts problem5.5 Summary; 6: Aspect and space; 6.1 Introduction; 6.2 Subregions versus strata; 6.3 Implementations of both approaches; 6.3.1 Dowty (1979) and my proposal; 6.3.2 Krifka (1998); 6.4 Comparing the approaches; 6.4.1 The subregion-based approach; 6.4.2 The strata-based approach; 6.5 Summary; 7: Measure functions; 7.1 Introduction; 7.2 Constraints on measure functions; 7.3 Previous accounts; 7.4 Strata theory and measurement; 7.5 Summary; 8: Covert distributivity; 8.1 Introduction; 8.2 Atomic distributivity
Includes bibliographical references and index.
Oxford studies in theoretical linguistics ; 66