Mass nouns and plural logic

Mass nouns and plural logic

A dilemma put forward by Schein (1993) and Rayo (2002) suggests that, in order to characterize the semantics of plurals, we should not use predicate logic, but plural logic, a formal language whose terms may refer to several things at once. We show that a similar dilemma applies to mass nouns. If we use predicate logic and sets when characterizing their semantics, we arrive at a Russellian para...

A plural resolution logic

This paper presents an integration of centering theory ([GJW95]) into incremental dynamic logic. The formalism is based on an idea found in [vE00a], where contexts are permutable in order to model salience. Building on this idea, centering theory is restated as a formalism on contexts. Subsequently the system is used to consider some problems centering theory has once plurality is taken into ac...

Count Nouns – Mass Nouns Neat Nouns – Mess Nouns

In this paper I propose and formalize a theory of the mass-count distinction in which the denotations of count nouns are built from non-overlapping generators, while the denotations of mass nouns are built from overlapping generators. Counting is counting of generators, and it will follow that counting is only correct on count denotations. I will show that the theory allows two kinds of mass no...

A Plural Resolution Logic

Learnability and generalisation of Arabic broken plural nouns

The noun plural system in Modern Standard Arabic lies at a nexus of critical issues in morphological learnability. The suffixing "sound" plural competes with as many as 31 non-concatenative "broken" plural patterns. Our computational analysis of singular-plural pairs in the Corpus of Contemporary Arabic explores what types of linguistic information are statistically relevant to morphological ge...