Quantifiers in Comparatives: A Semantics of Degree Based on Intervals

By Roger Schwarzchild, K. Wilkinson. 2002

262 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Language and Linguistics

View Paper: https://www.semanticscholar.org/paper/cfa67b269c5d7dc1228ccede45571fa364abe7fe

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Citations in the corpus

The grammar of standards: Judge-dependence, purpose-relativity, and comparison classes in degree constructions (2014, result): “It has also been shown by (Larson, 1988; Schwarzschild and Wilkinson, 2002) that the downward-entailing schema is not (always) validated in the comparative.”
The Grammar of Measurement (2002, methodology): “In Schwarzschild and Wilkinson(2002),3 we analyzed measure phrases in comparatives as predicates of parts of scales .”
Semantic variation and the grammar of property concepts (2015, unknown): “…variation between 25For any two points a and b on a scale such that a ≤ b an interval is the set of points x satisfying a ≤ x ≤ b. 26In fact, it has been argued that intervals should replace degrees in the analysis of comparatives, e.g. by Kennedy (2001) and Schwarzschild and Wilkinson (2002).”
A "de-Fregean" semantics (and neo-Gricean pragmatics) for modified and unmodified numerals (2015, background): “…— expressions of type 〈〈d, t〉, t〉, which includes the class of modified numerals in Nouwen’s analysis — has shown that they may take scope higher than root modals but not higher than epistemic modals (Heim 2000, Schwarzschild & Wilkinson 2002, Büring 2007, Krasikova 2010, Alrenga & Kennedy 2014).”
The polysemy of measurement (2014, background): “But doing so would require a formal proof that plural degrees are equivalent to sets of degrees as well as a move from standard degree semantics to an interval based one, like the one in Schwarzschild and Wilkinson (2002) (which Heim, 2006, argues is formally equivalent to a setbased semantics).”
Quantifiers in Than-Clauses (2010, methodology): “See Schwarzschild & Wilkinson 2002 and Heim 2006b for a more thorough empirical discussion.”
Total Adjectives vs. Partial Adjectives: Scale Structure and Higher-Order Modifiers (2004, background): “10See Bierwisch (1989), Kennedy (2000), Schwarzchild and Wilkinson (2002), Winter (2001), for theories that replace degrees on scales by intervals, “extents”, or vectors. scale of real numbers that represent height degrees of entities that are measured in meters or some other length unit.”
Reduced and unreduced phrasal comparatives (2011, background): “Recent treatments of quantifiers inside comparative clauses such as Schwarzschild and Wilkinson (2002) and Heim (2006) derive what we call the every > -er reading without moving the quantifier out of the comparative clause. not clear to us whether such an interpretation i.e. the reading indicated…”