Rigid and flexible quantification in plural predicate logic

Download Edit this record How to cite View on PhilPapers
Abstract
Noun phrases with overt determiners, such as <i>some apples</i> or <i>a quantity of milk</i>, differ from bare noun phrases like <i>apples</i> or <i>milk</i> in their contribution to aspectual composition. While this has been attributed to syntactic or algebraic properties of these noun phrases, such accounts have explanatory shortcomings. We suggest instead that the relevant property that distinguishes between the two classes of noun phrases derives from two modes of existential quantification, one of which holds the values of a variable fixed throughout a quantificational context while the other allows them to vary. Inspired by Dynamic Plural Logic and Dependence Logic, we propose Plural Predicate Logic as an extension of Predicate Logic to formalize this difference. We suggest that temporal <i>for</i>-adverbials are sensitive to aspect because of the way they manipulate quantificational contexts, and that analogous manipulations occur with spatial <i>for</i>-adverbials, habituals, and the quantifier <i>all</i>.
PhilPapers/Archive ID
CHARAF-2
Revision history
Archival date: 2017-10-14
View upload history
References found in this work BETA
Cover.[author unknown]

View all 18 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Added to PP index
2017-10-14

Total views
92 ( #26,274 of 41,492 )

Recent downloads (6 months)
48 ( #12,759 of 41,492 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.