Degrees and segments*

Abstract I make two related proposals, one about directed scale segments and the other about the nature of degrees. Bale (2007, 2011) argued that degrees should be analyzed as sets of individuals and that degree arguments are created in the syntax from relational predicates. Schwarz (2010) showed that Bale’s construction runs into problems when the relational predicate is complex, consisting of an LF constituent that contains more than just a gradable adjective. I modify Bale’s proposal so that it overcomes Schwarz’s objection. But first I propose a semantics for comparatives based on quantification over directed scale segments, triples consisting of two degrees and a measure function. The modification of Bale’s proposal depends upon this. Segments are of independent interest as they permit a conjunctive semantics for extended adjectival phrases, the way events do for verb phrases. Potential benefits of ‘degree-conjunctivism’ are explored