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On the Ternary Relation and Conditionality
journal contributionposted on 2023-05-18, 09:45 authored by Beall, Jc, Brady, R, Dunn, JM, Hazen, AP, Mares, E, Meyer, RK, Priest, G, Restall, G, Ripley, D, Slaney, J, Sylvan, R
One of the most dominant approaches to semantics for relevant (and many paraconsistent) logics is the Routley–Meyer semantics involving a ternary relation on points. To some (many?), this ternary relation has seemed like a technical trick devoid of an intuitively appealing philosophical story that connects it up with conditionality in general. In this paper, we respond to this worry by providing three different philosophical accounts of the ternary relation that correspond to three conceptions of conditionality. We close by briefly discussing a general conception of conditionality that may unify the three given conceptions.
Publication titleJournal of Philosophical Logic
Department/SchoolSchool of Humanities
Place of publicationNetherlands
Rights statementCopyright 2011 Springer Science+Business Media B.V.