Semantics with Dependent Types for Indefinites

Abstract

The paper proposes a new semantics with dependent types for indefinites, encompassing both the data related to their exceptional scopal behavior and the data related to their anaphoric (dynamic) properties. The proposal builds on the formal system combining generalized quantifiers ([Mostowski 1957], [Lindström 1966]) with dependent types ([Martin-Löf 1972], [Makkai 1995]) in [Grudzińska & Zawadowski 2014] and [Grudzińska & Zawadowski 2016].