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

Katalin Bimbo
University of Alberta
Jon Michael Dunn
Indiana University, Bloomington
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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.26686/ajl.v15i2.4066
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 55,899
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

A Generalization of the Routley-Meyer Semantic Framework.Morgan Thomas - 2015 - Journal of Philosophical Logic 44 (4):411-427.
Some Concerns Regarding Ternary-Relation Semantics and Truth-Theoretic Semantics in General.Ross T. Brady - 2017 - IfCoLog Journal of Logics and Their Applications 4 (3):755--781.
A Star-Free Semantics for R.Edwin D. Mares - 1995 - Journal of Symbolic Logic 60 (2):579 - 590.
Neighborhoods for Entailment.Lou Goble - 2003 - Journal of Philosophical Logic 32 (5):483-529.


Added to PP index

Total views
6 ( #1,062,433 of 2,402,070 )

Recent downloads (6 months)
1 ( #552,323 of 2,402,070 )

How can I increase my downloads?


My notes