Semantics for mass terms with quantifiers

Noûs 17 (2):251-265 (1983)
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Abstract

It is argued that the usual proposals for dealing with mass-Quantification--All x is f--Are inadequate with the predicate is complex or when multiple quantification is considered. Mass-Quantification is seen as a generalisation of ordinary (thing) quantification in that the specialising assumption that the domain of quantification is atomic is not made. It is suggested that the semantic values of predicates are complete ideals of the boolean algebra consisting of the quantity which is the domain of quantification and all its sub-Quantities, While logical connectives are represented by operations on complete ideals

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Citations of this work

Parts and Wholes in Semantics.Friederike Moltmann - 1997 - New York: Oxford University Press.
Towards a common semantics for English count and mass nouns.Brendan S. Gillon - 1992 - Linguistics and Philosophy 15 (6):597 - 639.
Mass terms and quantification.Jan Tore Lønning - 1987 - Linguistics and Philosophy 10 (1):1 - 52.
Mass nouns and plural logic.David Nicolas - 2008 - Linguistics and Philosophy 31 (2):211-244.

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