Cardinal nominals as collective predicates

Authors

DOI:

https://doi.org/10.24201/clecm.v8i0.137

Keywords:

semantics, plural, numerals, distributivity, collectivity

Abstract

I propose a novel semantic mechanism for explaining the fact that when modified cardinal terms like less than ten months or between two and five times are combined with distributive predicates, they impose an upper bound, but not when they are combined with non-distributive predicates. My explanation is based on the simple fact that distributive and non-distributive predicates have different domains of denotation and that, therefore, when we mix predicates of both kinds (for example when a cardinal predicate –which is non-distributive– pronominally modifies a distributive predicate), some kind of domain adjustment is required. To model this adjustment, I introduce a silent, totalizing operator that assigns to any distributive plural property P the collective plural property of being all the Ps. 

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Author Biography

Axel Arturo Barcelo Aspeitia, Instituto de Investigaciones Filosóficas Universidad Nacional Autónoma de México

Investigador Titular del Instituto de Investigaciones Filosóficas de la UNAM. Doctor en Filosofía con especialización en Lógica en el Departamento de Filosofía por la Universidad de Indiana, Bloomington. (Disertación de doctorado Mathematics as Grammar: ‘Grammar’ in Wittgenstein’s Philosophy of Mathematics during the Middle Period, dirigida por el Dr. David Charles McCarty.)

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Published

2021-09-24

How to Cite

Barcelo Aspeitia, A. A. (2021). Cardinal nominals as collective predicates. Cuadernos De Lingüística De El Colegio De México (CLECM), 8, 1–43. https://doi.org/10.24201/clecm.v8i0.137
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