Australasian Journal of Logic 15 (2):171-209 (2018)

Authors
Katalin Bimbo
University of Alberta
Jon Michael Dunn
Indiana University, Bloomington
Abstract
A ternary relation is often used nowadays to interpret an implication connective of a logic, a practice that became dominant in the semantics of relevance logics. This paper examines two early manuscripts --- one by Routley, another by Meyer --- in which they were developing set-theoretic semantics for various relevance logics. A standard presentation of a ternary relational semantics for, let us say, the logic of relevant implication R is quite illuminating, yet the invention of this semantics was fraught with false starts. Meyer's manuscript, in which he builds on some ideas from Routley's manuscript, essentially contains a relational semantics for which R^{ot} is sound and complete.
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DOI 10.26686/ajl.v15i2.4066
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