Generalized Quantification in Situation Semantics

Abstract

This paper extends the grammar presented in Loukanova (2002, this volume) to cover NL expressions that contain multiple quantificational NPs, restrictive relative clauses, and intensional verbs. The grammar rules use a quantificational operator, which moves quantifier representations from the storage to the basis. This operator is highly context dependent and is a subject of structural restrictions, introduced in this paper. These restrictions do not permit free parameters to fall out of the scope of the quantificational binding. The grammar permits more than one NPs, different from pronouns, to be in antecedent-anaphora relations. The relevant quantificational rules use a two argument operator $\mathcal{R}$ , defined over types of individuals, which combines the meaning types corresponding to the determiners A, SOME, THE.