Abstract
This paper shows how dichotomous inquisitive semantics gives rise to a general notion of entailment that unifies standard declarative entailment with answerhood and interrogative dependency, the relation holding when an answer to a question determines an answer to another. We investigate the associated logic, presenting a new completeness proof based on an explicit canonical model construction. On the way to this proof, we establish a new result, the resolution theorem, which shows that inquisitive proofs have a natural computational interpretation. We conclude arguing that, as a logic of dependencies, inquisitive logic has certain theoretical and practical advantages over related systems.
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References
Ciardelli, I.: Inquisitive Semantics and Intermediate Logics. MSc thesis, University of Amsterdam (2009)
Ciardelli, I.: Modalities in the realm of questions: axiomatizing inquisitive epistemic logic (2014) (Manuscript, submitted for publication)
Ciardelli, I., Groenendijk, J., Roelofsen, F.: On the semantics and logic of declaratives and interrogatives. Synthese (2013), doi:10.1007/s11229-013-0352-7
Ciardelli, I., Groenendijk, J., Roelofsen, F.: Inquisitive semantics: a new notion of meaning. Language and Linguistics Compass 7(9), 459–476 (2013)
Ciardelli, I., Roelofsen, F.: Inquisitive Logic. Journal of Philosophical Logic 40(1), 55–94 (2011)
Ciardelli, I., Roelofsen, F.: Inquisitive dynamic epistemic logic. Synthese (2014), doi:10.1007/s11229-014-0404-7
Galliani, P.: The dynamics of imperfect information. PhD thesis, University of Helsinki (2012)
Galliani, P., Väänänen, J.: On dependence logic. arXiv preprint arXiv:1305.5948 (2013)
Groenendijk, J.: Inquisitive Semantics: Two Possibilities for Disjunction. In: Bosch, P., Gabelaia, D., Lang, J. (eds.) TbiLLC 2007. LNCS, vol. 5422, pp. 80–94. Springer, Heidelberg (2009)
Groenendijk, J.: Erotetic languages and the inquisitive hierarchy. In: a Festschrift for Martin Stokhof (2011)
Hintikka, J.: Inquiry as inquiry: A logic of scientific discovery. Kluwer Academic Publishers (1999)
Hintikka, J.: Socratic epistemology: explorations of knowledge-seeking by questioning. Cambridge University Press (2007)
Kreisel, G., Putnam, H.: Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkül. Archiv für mathematische Logik und Grundlagenforschung 3(3-4), 74–78 (1957)
Roelofsen, F.: Algebraic foundations for the semantic treatment of inquisitive content. Synthese 190(1), 79–102 (2013)
Väänänen, J.: Dependence Logic: A New Approach to Independence Friendly Logic. Cambridge University Press (2007)
Wiśniewski, A.: The logic of questions as a theory of erotetic arguments. Synthese 109(1), 1–25 (1996)
Yang, F.: On extensions and variants of dependence logic: a study of intuitionistic connectives in the team semantics setting. PhD thesis, University of Helsinki (2014)
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Ciardelli, I. (2014). Interrogative Dependencies and the Constructive Content of Inquisitive Proofs. In: Kohlenbach, U., Barceló, P., de Queiroz, R. (eds) Logic, Language, Information, and Computation. WoLLIC 2014. Lecture Notes in Computer Science, vol 8652. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44145-9_8
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DOI: https://doi.org/10.1007/978-3-662-44145-9_8
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