A new kind of degree

Linguistics and Philosophy 40 (2):165-205 (2017)
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Abstract

This paper presents a case study of the English noun amount, a word that ostensibly relies on measurement in its semantics, yet stands apart from other quantizing nouns on the basis of its existential interpretation. John ate the amount of apples that Bill ate does not mean John and Bill ate the same apples, but rather that they each ate apples in the same quantity. Amount makes reference to abstract representations of measurement, that is, to degrees. Its existential interpretation evidences the fact that degrees contain information about the objects that instantiate them. Outside the domain of nominal measurement, the noun kind exhibits behavior strikingly similar to that of amount; both yield an existential interpretation. This observation motivates re-conceiving of degrees as nominalized quantity-uniform properties—the same sort of entity as kinds. Thus, the semantic machinery handling kinds also handles degrees: as nominalized properties, degrees are instantiated by objects that hold the corresponding property; when instantiated by real-world objects, degrees deliver the existential interpretation.

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Citations of this work

Reference to ad hoc kinds.Jon Ander Mendia - 2020 - Linguistics and Philosophy 43 (6):589-631.
Reference to ad hoc kinds.Jon Ander Mendia - 2020 - Linguistics and Philosophy 43 (6):589-631.
Reference to ad hoc kinds.Jon Ander Mendia - 2020 - Linguistics and Philosophy 43 (6):589-631.

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References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
English as a Formal Language.Richard Montague - 1970 - In Bruno Visentini (ed.), Linguaggi nella societa e nella tecnica. Edizioni di Communita. pp. 188-221.
Reference to Kinds across Language.Gennaro Chierchia - 1998 - Natural Language Semantics 6 (4):339-405.

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