Linguistics and Philosophy 33 (6):513-549 (2010)
|Abstract||Quantifiers in Language and Logic (QLL) is a major contribution to natural language semantics, specifically to quantification. It integrates the extensive recent work on quantifiers in logic and linguistics. It also presents new observations and results. QLL should help linguists understand the mathematical generalizations we can make about natural language quantification, and it should interest logicians by presenting an extensive array of quantifiers that lie beyond the pale of classical logic. Here we focus on those aspects of QLL we judge to be of specific interest to linguists, and we contribute a few musings of our own, as one mark of a worthy publication is whether it stimulates the reader to seek out new observations, and QLL does. QLL is long and fairly dense, so we make no attempt to cover all the points it makes. But QLL has a topic index, a special symbols index and two tables of contents, a detailed one and an overview one, all of which help make it user friendly. QLL is presented in four parts: I, The Logical Conception of Quantifiers and Quantification with an introductory section Quantification . II, Quantifiers of Natural Language , the most extensive section in the book and of the most direct interest to linguists. III, Beginnings of a Theory of Expressiveness, Translation, and Formalization introduces notions of expressive power and definability, and IV, presents recent work and techniques concerning quantifier definability over finite domains, making accessible to linguists recent work in finite model theory|
|Keywords||Quantifiers Logic Natural language Finite definability Expressive power Philosophy of language Generalized quantifiers|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Jouko Väänänen & Dag Westerståhl (2002). On the Expressive Power of Monotone Natural Language Quantifiers Over Finite Models. Journal of Philosophical Logic 31 (4):327-358.
Ed Keenan (1999). Quantification in English is Inherently Sortal. History and Philosophy of Logic 20 (3-4):251-265.
Johan van Benthem & Dag Westerståhl (1995). Directions in Generalized Quantifier Theory. Studia Logica 55 (3):389-419.
Edward L. Keenan & Denis Paperno (2011). Erratum To: Stanley Peters and Dag Westerståhl: Quantifiers in Language and Logic. [REVIEW] Linguistics and Philosophy 34 (1):91-91.
Lauri Hella, Jouko Väänänen & Dag Westerståhl (1997). Definability of Polyadic Lifts of Generalized Quantifiers. Journal of Logic, Language and Information 6 (3):305-335.
Juha Kontinen & Jakub Szymanik (2011). Characterizing Definability of Second-Order Generalized Quantifiers. In L. Beklemishev & R. de Queiroz (eds.), Proceedings of the 18th Workshop on Logic, Language, Information and Computation, Lecture Notes in Artificial Intelligence 6642. Springer.
Edward L. Keenan (1993). Natural Language, Sortal Reducibility and Generalized Quantifiers. Journal of Symbolic Logic 58 (1):314-325.
Dag Westerståhl (1996). Self-Commuting Quantifiers. Journal of Symbolic Logic 61 (1):212-224.
Johan van Benthem (2007). Review of Stanley Peters, Dag Westerståhl, Quantifiers in Language and Logic. [REVIEW] Notre Dame Philosophical Reviews 2007 (1).
Wiebe Van Der Hoek & Maarten De Rijke (1993). Generalized Quantifiers and Modal Logic. Journal of Logic, Language and Information 2 (1):19-58.
Theo M. V. Janssen (2013). Compositional Natural Language Semantics Using Independence Friendly Logic or Dependence Logic. Studia Logica 101 (2):453-466.
Dag Westerståhl (2012). Explaining Quantifier Restriction: Reply to Ben-Yami. Logique Et Analyse 55 (217):109-120.
Juha Kontinen & Jakub Szymanik (2008). A Remark on Collective Quantification. Journal of Logic, Language and Information 17 (2):131-140.
Dag Westerståhl (1984). Some Results on Quantifiers. Notre Dame Journal of Formal Logic 25 (2):152--169.
Added to index2011-05-19
Total downloads22 ( #62,633 of 722,764 )
Recent downloads (6 months)1 ( #60,247 of 722,764 )
How can I increase my downloads?