Free choice and the theory of scalar implicatures* MIT,

Abstract
This paper will be concerned with the conjunctive interpretation of a family of disjunctive constructions. The relevant conjunctive interpretation, sometimes referred to as a “free choice effect,” (FC) is attested when a disjunctive sentence is embedded under an existential modal operator. I will provide evidence that the relevant generalization extends (with some caveats) to all constructions in which a disjunctive sentence appears under the scope of an existential quantifier, as well as to seemingly unrelated constructions in which conjunction appears under the scope of negation and a universal quantifier.
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Connectives Without Truth Tables.Nathan Klinedinst & Daniel Rothschild - 2012 - Natural Language Semantics 20 (2):137-175.
Structurally-Defined Alternatives.Roni Katzir - 2007 - Linguistics and Philosophy 30 (6):669-690.
Responding to Alternative and Polar Questions.María Biezma & Kyle Rawlins - 2012 - Linguistics and Philosophy 35 (5):361-406.

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