A Relevant Logic of Questions

Journal of Philosophical Logic 49 (5):905-939 (2020)
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Abstract

This paper introduces the inquisitive extension of R, denoted as InqR, which is a relevant logic of questions based on the logic R as the background logic of declaratives. A semantics for InqR is developed, and it is shown that this semantics is, in a precisely defined sense, dual to Routley-Meyer semantics for R. Moreover, InqR is axiomatized and completeness of the axiomatic system is established. The philosophical interpretation of the duality between Routley-Meyer semantics and the semantics for InqR is also discussed.

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Citations of this work

Relevance logic.Edwin Mares - 2008 - Stanford Encyclopedia of Philosophy.
A Substructural Approach to Explicit Modal Logic.Shawn Standefer - 2023 - Journal of Logic, Language and Information 32 (2):333–362.
An Algebraic View of the Mares-Goldblatt Semantics.Andrew Tedder - 2024 - Journal of Philosophical Logic 53 (2):331-349.

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References found in this work

Inquisitive Semantics.Ivano Ciardelli, Jeroen Groenendijk & Floris Roelofsen - 2018 - Oxford, England: Oxford University Press. Edited by J. A. G. Groenendijk & Floris Roelofsen.
General Propositions and Causality.Frank Plumpton Ramsey - 1929 - In The Foundations of Mathematics and other Logical Essays. Kegan Paul, Trench, Trübner. pp. 237-255.
Relevant Logic: A Philosophical Interpretation.Edwin David Mares - 2004 - New York: Cambridge University Press.
The Posing of Questions: Logical Foundations of Erotetic Inferences.Andrzej Wiśniewski - 1995 - Dordrecht and Boston: Kluwer Academic Publishers.

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