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On the semantics of unit fractions

Year: 2024
Type: article
Abstract: We present two novel observations concerning the linguistic behavior of unit fractions, e.g., ‘half‘, ‘third‘ etc., which challenge their analysis as proportional quantifiers/modifiers, arguing instead that in certain environments fractions presuppose ‘contextually salient‘ partitions over individuals. We distinguish environments that require a salient partition from those that do not, and propose a syntax and semantics for fractions that derives the distinction.
Language: English
Open Access status: diamond
OpenAlex ID: W6944290284
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