Free choice, simplification, and Innocent Inclusion

Natural Language Semantics 28 (3):175-223 (2020)
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Abstract

We propose a modification of the exhaustivity operator from Fox Presupposition and implicature in compositional semantics, Palgrave Macmillan, London, pp 71–120, 2007. https://doi.org/10.1057/9780230210752_4) that on top of negating all the Innocently Excludable alternatives affirms all the ‘Innocently Includable’ ones. The main result of supplementing the notion of Innocent Exclusion with that of Innocent Inclusion is that it allows the exhaustivity operator to identify cells in the partition induced by the set of alternatives whenever possible. We argue for this property of ‘cell identification’ based on the simplification of disjunctive antecedents and the effects on free choice that arise as the result of the introduction of universal quantifiers. We further argue for our proposal based on the interaction of only with free choice disjunction.

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Citations of this work

Relativized Exhaustivity: mention-some and uniqueness.Yimei Xiang - 2022 - Natural Language Semantics 30 (3):311-362.
Number in NPI licensing.Luka Crnič - 2022 - Natural Language Semantics 30 (1):1-46.
An Implicature account of Homogeneity and Non-maximality.Moshe E. Bar-Lev - 2020 - Linguistics and Philosophy 44 (5):1045-1097.

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References found in this work

A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher (ed.), Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
Counterfactuals.David Lewis - 1973 - Philosophy of Science 42 (3):341-344.
Quantity implicatures.Bart Geurts - 2010 - New York: Cambridge University Press.

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