Name
Abstract | ||
|---|---|---|
This paper studies the monotonicity behavior of plural determiners that quantify over collections. Following previous work, we describe the collective interpretation of determiners such as all, some and most using generalized quantifiers of a higher type that are obtained systematically by applying a type shifting operator to the standard meanings of determiners in Generalized Quantifier Theory. Unlike previous proposals, one unified determiner fitting operator both captures existential quantification with plural determiners and respects their monotonicity properties. However, some previously unnoticed facts indicate that monotonicity of plural determiners is not always preserved when they apply to collective predicates. We show that the proposed operator describes this behavior correctly, and characterize the monotonicity of the collective determiners it derives. It is proved that determiner fitting always preserves monotonicity properties of determiners in their second argument, but monotonicity in the first argument of a determiner is preserved if and only if it is monotonic in the same direction in the second argument. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1016/S1571-0661(05)82571-X | Electronic Notes in Theoretical Computer Science |
Keywords | DocType | Volume |
shift operator | Journal | 53 |
ISSN | Citations | PageRank |
1571-0661 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gilad Ben-Avi | 1 | 40 | 4.81 |
| Yoad Winter | 2 | 307 | 34.70 |