Cumulation is Needed: A Reply to Winter (2000) [Book Review]

Natural Language Semantics 8 (4):349-371 (2000)
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Abstract

Winter (2000) argues that so-called co-distributive or cumulative readings do not involve polyadic quantification (contra proposals by Krifka, Schwarzschild, Sternefeld, and others). Instead, he proposes that all such readings involve a hidden anaphoric dependency or a lexical mechanism. We show that Winter's proposal is insufficient for a number of cases of cumulative readings, and that Krifka's and Sternefeld's polyadic **-operator is needed in addition to dependent definites. Our arguments come from new observations concerning dependent plurals and clause-boundedness effects with cumulative readings

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Citations of this work

Generically free choice.Bernhard Nickel - 2010 - Linguistics and Philosophy 33 (6):479-512.
Reciprocals are Definites.Sigrid Beck - 2001 - Natural Language Semantics 9 (1):69-138.
Distributivity, Collectivity, and Cumulativity in Terms of (In)dependence and Maximality.Livio Robaldo - 2011 - Journal of Logic, Language and Information 20 (2):233-271.
Independent Set Readings and Generalized Quantifiers.Livio Robaldo - 2010 - Journal of Philosophical Logic 39 (1):23-58.
The comparative and degree pluralities.Jakub Dotlačil & Rick Nouwen - 2016 - Natural Language Semantics 24 (1):45-78.

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References found in this work

Semantics in generative grammar.Irene Heim & Angelika Kratzer - 1998 - Malden, MA: Blackwell. Edited by Angelika Kratzer.
The Grammar of Quantification.Robert May - 1977 - Dissertation, Massachusetts Institute of Technology
Some remarks on infinitely long formulas.L. Henkin - 1961 - Journal of Symbolic Logic 30 (1):167--183.

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