On the Ternary Relation and Conditionality

Journal of Philosophical Logic 41 (3):595 - 612 (2012)
Jc Beall
University of Connecticut
Edwin Mares
Victoria University of Wellington
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
Keywords Ternary relation  Ternary-relation semantics  Possible worlds  Situations  Modal logics  Paraconsistent logics  Relevant logics  Routley–Meyer semantics  Conditionals  Conditionality  Relative relative possibility
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References found in this work BETA

Counterfactuals.David K. Lewis - 1973 - Blackwell.
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2002 - Cambridge University Press.
Situations and Attitudes.Jon Barwise & John Perry - 1981 - Journal of Philosophy 78 (11):668-691.
Spandrels of Truth.J. C. Beall - 2009 - Oxford University Press.

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Why Separation Logic Works.David Pym, Jonathan M. Spring & Peter O’Hearn - forthcoming - Philosophy and Technology:1-34.
Fusion and Confusion.Graham Priest - 2015 - Topoi 34 (1):55-61.
The Relevant Fragment of First Order Logic.Guillermo Badia - forthcoming - Review of Symbolic Logic:1-24.

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