On the Ternary Relation and Conditionality
Jc Beall, Ross T. Brady, J. Michael Dunn, A. P. Hazen, Edwin D. Mares, Robert K. Meyer, Graham Priest, Greg Restall, David Ripley, John Slaney & Richard Sylvan
Journal of Philosophical Logic 41 (3):595 - 612 (2012)
Abstract
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 conceptionsAuthor's Profile
DOI
10.1007/s10992-011-9191-5
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Citations of this work
Mathematical Explanation by Law.Sam Baron - 2019 - British Journal for the Philosophy of Science 70 (3):683-717.
A Counterfactual Approach to Explanation in Mathematics.Sam Baron, Mark Colyvan & David Ripley - 2020 - Philosophia Mathematica 28 (1):1-34.
Structures and circumstances: two ways to fine-grain propositions.David Ripley - 2012 - Synthese 189 (1):97 - 118.
References found in this work
Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Cambridge University Press.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Cambridge University Press.