Studia Logica 107 (6):1199-1234 (2019)

Abstract
Classical first-order logic \ is commonly used to study logical connections between statements, that is sentences that in every context have an associated truth-value. Inquisitive first-order logic \ is a conservative extension of \ which captures not only connections between statements, but also between questions. In this paper we prove the disjunction and existence properties for \ relative to inquisitive disjunction Open image in new window and inquisitive existential quantifier \. Moreover we extend these results to several families of theories, among which the one in the language of \. To this end, we initiate a model-theoretic approach to the study of \. In particular, we develop a toolkit of basic constructions in order to transform and combine models of \.
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DOI 10.1007/s11225-018-9835-3
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References found in this work BETA

Compositional Semantics for a Language of Imperfect Information.W. Hodges - 1997 - Logic Journal of the IGPL 5 (4):539-563.
A Shorter Model Theory.Wilfrid Hodges - 1997 - Studia Logica 64 (1):133-134.
Questions as Information Types.Ivano Ciardelli - 2018 - Synthese 195 (1):321-365.
Propositional Logics of Dependence.Fan Yang & Jouko Väänänen - 2016 - Annals of Pure and Applied Logic 167 (7):557-589.

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Citations of this work BETA

Completeness for the Classical Antecedent Fragment of Inquisitive First-Order Logic.Gianluca Grilletti - 2021 - Journal of Logic, Language and Information 30 (4):725-751.
Coherence in Inquisitive First-Order Logic.Ivano Ciardelli & Gianluca Grilletti - 2022 - Annals of Pure and Applied Logic 173 (9):103155.
Questions in Two-Dimensional Logic.Thom van Gessel - forthcoming - Review of Symbolic Logic:1-21.

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