David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Logic, Language and Information 4 (4):273-300 (1995)
This work adopts the perspective of plural logic and measurement theory in order first to focus on the microstructure of comparative determiners; and second, to derive the properties of comparative determiners as these are studied in Generalized Quantifier Theory, locus of the most sophisticated semantic analysis of natural language determiners. The work here appears to be the first to examine comparatives within plural logic, a step which appears necessary, but which also harbors specific analytical problems examined here.Since nominal comparatives involve plural and mass reference, we begin with a domain of discourse upon which a lattice structure (Link's) is imposed, and which maps (via abstract dimensions such asweight in kilograms) to concrete measures (in N,R+). The mapping must be homomorphic and Archimedean. Comparisons begin as simple predicates on dimensions or measures; from these we derive classes of predicates on the domain, i.e., generalized determiners (quantifiers), and show, e.g., how monotonicity properties follow in the derivation. This results in a proposal for a logical language which includes derived determiners, and which is an attractive target for semantics interpretation; it also turns out that some interesting comparative determiners are first order, at least when restricted to nonparametric and noncollective predications.
|Keywords||Natural language semantics quantifiers comparatives plural logic|
|Categories||categorize this paper)|
|Through your library||Configure|
References found in this work BETA
No references found.
Citations of this work BETA
Jessica Rett (2011). Exclamatives, Degrees and Speech Acts. Linguistics and Philosophy 34 (5):411-442.
Similar books and articles
Manfred Krifka (1999). At Least Some Determiners Aren't Determiners. In Ken Turner (ed.), The Semantics/Pragmatics Interface From Different Points of View. Elsevier. 1--257.
Gilad Ben-Avi & Yoad Winter (2003). Monotonicity and Collective Quantification. Journal of Logic, Language and Information 12 (2):127-151.
Yoad Winter (2003). Monotonicity and Collective Quantification. Journal of Logic, Language and Information 12 (2):127-151.
Hanoch Ben-Yami (2009). Generalized Quantifiers, and Beyond. Logique Et Analyse (208):309-326.
Anna Szabolcsi (2010). Quantification. Cambridge University Press.
Fairouz Kamareddine (1992). Λ-Terms, Logic, Determiners and Quantifiers. Journal of Logic, Language and Information 1 (1):79-103.
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.
Dag Westerståhl (1985). Determiners and Context Sets. In Generalized Quantifiers in Natural Language. Foris Publications. 45--71.
Added to index2009-01-28
Total downloads8 ( #138,555 of 1,088,400 )
Recent downloads (6 months)1 ( #69,601 of 1,088,400 )
How can I increase my downloads?