Nominal comparatives and generalized quantifiers

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)
DOI 10.1007/BF01049471
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 23,280
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Richard K. Larson (1988). Scope and Comparatives. Linguistics and Philosophy 11 (1):1 - 26.
Peter Lasersohn (1990). Group Action and Spatio-Temporal Proximity. Linguistics and Philosophy 13 (2):179 - 206.

View all 7 references / Add more references

Citations of this work BETA
Daniel Lassiter (2014). Modality, Scale Structure, and Scalar Reasoning. Pacific Philosophical Quarterly 95 (4):461-490.
Jessica Rett (2011). Exclamatives, Degrees and Speech Acts. Linguistics and Philosophy 34 (5):411-442.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

20 ( #231,991 of 1,932,507 )

Recent downloads (6 months)

1 ( #456,270 of 1,932,507 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.