Bilattices and the semantics of natural language questions

Linguistics and Philosophy 25 (1):37-64 (2002)
Abstract
In this paper we reexamine the question of whether questions areinherently intensional entities. We do so by proposing a novelextensional theory of questions, based on a re-interpretation of thedomain of t as a bilattice rather than the usual booleaninterpretation. We discuss the adequacy of our theory with respect tothe adequacy criteria imposed on the semantics of questionsby (Groenendijk and Stokhof 1997). We show that the theory is able to account in astraightforward manner for some complex issues in the semantics ofquestions including coordinated questions, combined indicative andinterrogative sentences, questions with quantifiers, and theimpossibility of negating questions.
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Reinhard Blutner (2012). Questions and Answers in an Orthoalgebraic Approach. Journal of Logic, Language and Information 21 (3):237-277.
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