On the Ternary Relation and Conditionality

Jc Beall, Ross Brady, J. Michael Dunn, A. P. Hazen, Edwin Mares, Robert K. Meyer, Graham Priest, Greg Restall, David Ripley, John Slaney, Richard Sylvan

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50 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)595-612
Number of pages18
JournalJournal of Philosophical Logic
Issue number3
Publication statusPublished - 1 Jun 2012
Externally publishedYes


  • Conditionality
  • Conditionals
  • Modal logics
  • Paraconsistent logics
  • Possible worlds
  • Relative relative possibility
  • Relevant logics
  • Routley-Meyer semantics
  • Situations
  • Ternary relation
  • Ternary-relation semantics

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