Presuppositions for proportional quantifiers

Christian Barker

    Research output: Contribution to journalArticle

    Abstract

    Most studies of the so-called proportion problem seek to understand how lexical and structural properties of sentences containing adverbial quantifiers give rise to various proportional readings. This paper explores a related but distinct problem: given a use of a particular sentence in context, why do only some of the expected proportional readings seem to be available? That is, why do some sentences allow an asymmetric reading when other, structurally similar sentences seem to require a symmetric reading? Potential factors suggested in the literature include the distribution of donkey pronouns, certain uniqueness implications, and focus structures. I argue here that the use of an adverbial quantifier presupposes HOMOGENEITY: all individual situations that get lumped into a single case for the purposes of evaluating the quantification must agree on whether they satisfy the nuclear scope. For instance, in order for a token of Usually, if a farmer owns a donkey, he beats it to be felicitous when construed under a farmer-dominant asymmetric reading, the context must be consistent with the proposition that each farmer either beats all or none of his donkeys. Thus proportional sentences are indeed systematically ambiguous, but only some readings will be felicitous in a given context.

    Original languageEnglish (US)
    Pages (from-to)237-259
    Number of pages23
    JournalNatural Language Semantics
    Volume4
    Issue number3
    DOIs
    StatePublished - Jan 1996

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    farmer
    quantification
    Quantifiers
    Presupposition
    Farmers
    Donkey
    Adverbials
    Uniqueness
    Pronoun
    Structural Properties
    Quantification
    Proportion
    literature

    ASJC Scopus subject areas

    • Linguistics and Language
    • Philosophy

    Cite this

    Presuppositions for proportional quantifiers. / Barker, Christian.

    In: Natural Language Semantics, Vol. 4, No. 3, 01.1996, p. 237-259.

    Research output: Contribution to journalArticle

    Barker, Christian. / Presuppositions for proportional quantifiers. In: Natural Language Semantics. 1996 ; Vol. 4, No. 3. pp. 237-259.
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