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The Case of Bare Plurals and Plural Definites. - Institut für Linguistik ...

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Appendix:<br />

Coincidence Constraint<br />

• Running time <strong>of</strong> a plural eventuality e*:<br />

τ(e*) = def ιt. ∀e’ ∈ Atom(e*) [τ(e’) ⊆ t ∧<br />

∀t’ [∀e’ ∈ Atom(e*) [τ(e’) ⊆ t’] → t ⊆ t’ ]]<br />

• <strong>The</strong> running time <strong>of</strong> a plural eventuality e* contains the<br />

running time <strong>of</strong> an atomic eventuality e’:<br />

τ(e’) ⊆τ(e*) def<br />

∃e’’∈ Atom(e*) [τ(e’) ⊆τ(e’’)]<br />

• Coincidence Constraint:<br />

A set <strong>of</strong> eventualities E fulfills the coincidence constraint<br />

iff<br />

¬ [∀e, e’ ∈ E [τ(e) = τ(e’)]]<br />

Indefinites <strong>and</strong> Weak Quantifiers, Brussels 2005

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