Journal of Logic, Language and Information 15 (3):251-271 (2006)
AbstractWe propose a novel interpretation of natural-language questions using a modal predicate logic of knowledge. Our approach brings standard model-theoretic and proof-theoretic techniques from modal logic to bear on questions. Using the former, we show that our interpretation preserves Groenendijk and Stokhof's answerhood relation, yet allows an extensional interpretation. Using the latter, we get a sound and complete proof procedure for the logic for free. Our approach is more expressive; for example, it easily treats complex questions with operators that scope over questions. We suggest a semantic criterion that restricts what natural-language questions can express. We integrate and generalize much previous work on the semantics of questions, including Beck and Sharvit's families of subquestions, non-exhaustive questions, and multi-party conversations.
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Citations of this work
On the Semantics and Logic of Declaratives and Interrogatives.Ivano Ciardelli, Jeroen Groenendijk & Floris Roelofsen - 2015 - Synthese 192 (6):1689-1728.
Inquisitive Logic as an Epistemic Logic of Knowing How.Haoyu Wang, Yanjing Wang & Yunsong Wang - 2022 - Annals of Pure and Applied Logic 173 (10):103145.
References found in this work
Questions.Jeroen Groenendijk & Martin Stokhof - 2011 - In Johan van Benthem & Alice ter Meulen (eds.), Handbook of Logic and Language. Elsevier. pp. 1059–1131.
On the Semantics of Questions and the Pragmatics of Answers.Jeroen Groenendijk & Martin Stokhof - 1984 - In Fred Landman & Frank Veltman (eds.), Varieties of Formal Semantics: Proceedings of the Fourth Amsterdam Colloquium. Foris. pp. 143--170.
The Semantics of Questions and the Questions of Semantics: Case Studies in the Interrelations of Logic, Semantics, and Syntax.Jaakko Hintikka - 1976 - North-Holland.