This paper provides an interpretation of the Routley-Meyer semantics for a weak negation-free relevant logic using Israel and Perry's theory of information. In particular, Routley and Meyer's ternary accessibility relation is given an interpretation in information-theoretic terms.
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I am indebted to Max Cresswell for invariable conversations relating to the topic and encouraging me to provide a philosophical explanation of the ternary semantics for relevant logic and to Errol Martin also for useful discussions and encouragement. I am also grateful to Greg Restall who made his work available to me while I was finishing this project. While working on this project, I was supported by a grant from the Centre for Information Science Research at The Australian National University. I am grateful to John Slaney and Michael McRobbie for securing this grant. I gave an earlier version of this paper to the Basser School of Computer Science at the University of Sydney and to the philosophy department at Victoria University of Wellington. I thank all those in attendance especially John Bacon, Norman Foo, Abhaya Nayak, Kim Sterelny, and James Maclaurin.
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Mares, E.D. Relevant logic and the theory of information. Synthese 109, 345–360 (1996). https://doi.org/10.1007/BF00413865
- Accessibility Relation
- Relevant Logic
- Ternary Accessibility Relation