Presuppositions for proportional quantifiers

Natural Language Semantics 4 (3):237-259 (1996)
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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

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Citations of this work

Adverbial, descriptive reciprocals.Barry Schein - 2003 - Philosophical Perspectives 17 (1):333–367.
Generic Excluded Middle.James Ravi Kirkpatrick - forthcoming - Philosophers' Imprint.
Common nouns as modally non-rigid restricted variables.Peter Lasersohn - 2020 - Linguistics and Philosophy 44 (2):363-424.

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References found in this work

E-type pronouns and donkey anaphora.Irene Heim - 1990 - Linguistics and Philosophy 13 (2):137--77.
An investigation of the lumps of thought.Angelika Kratzer - 1989 - Linguistics and Philosophy 12 (5):607 - 653.
Nominal and temporal anaphora.Barbara H. Partee - 1984 - Linguistics and Philosophy 7 (3):243--286.

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