Generalized quantifier theory is a central topic in logic with important applications in semantics of natural language. Recent work in the application field has led to new logical questions and new theoretical developements, showing that quantifier theory is a truly interdisciplinary field.
This volume presents contributions to quantifier theory and its applications and gives a good impression of the depth and diversity of recent work in the field. The book starts with a long introductionaimed at making the individual papers to a wide audience of logicians and linguists.
research concerns the logical and linguistic aspects of quantification. Currently he is working as a seniorpostdoc for the Dutch PIONIER project ‘Reasoningwith Uncertainty’ (NWO, Netherlands Organization for Scientific Research) at the Department of Mathematics and Computer Science, University of Amsterdam. is Senior Researcher at CWI (Centre for Mathematics and Computer Science), Amsterdam, and professor of computational linguistics at OTS (Research Institute for Language and Speech), Utrecht.
- 1 Basic Quantifier Theory
- 2 Quantifiers in the World of Types
- 3 Dynamic Generalized Quantifiers
- 4 Monotone Quantifiers: Interpolation and Preservation
- 5 Quantifiers and Partiality
- 6 The Semantics of Exception Phrases
- 7 Further Beyond the Frege Boundary
- 8 Configurational Expression of Negation
- 9 Natural Deduction for Generalized Quantifiers
- 10 Conditionals and Quantifiers
- 11 Branching Quantification and Scope Independence
- 12 Generalized Quantifier Theory and the Semantics of Focus
- 13 Parallel Quantification
- 14 Quantification Over Time
- 15 The Semantics of Plural Noun Phrases
- 16 Relativization of Quantifier in Finite Models
- 17 Facets of Negation
- Affiliations of Contributors