“Four-valued” semantics for the relevant logic R

Journal of Philosophical Logic 33 (3):327-341 (2004)

Authors
Edwin Mares
Victoria University of Wellington
Abstract
This paper sets out two semantics for the relevant logic R based on Dunn's four-valued semantics for first-degree entailments. Unlike Routley's semantics for weak relevant logics, they do not use two ternary accessibility relations. Unlike Restall's semantics, they capture all of R. But there is a catch. Both of the present semantics are neighbourhood semantics, that is, they include sets of propositions in the specification of their frames
Keywords Philosophy
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DOI 10.1023/B:LOGI.0000031375.18295.30
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References found in this work BETA

A Star-Free Semantics for R.Edwin D. Mares - 1995 - Journal of Symbolic Logic 60 (2):579 - 590.

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Citations of this work BETA

Recent Work in Relevant Logic.Mark Jago - 2013 - Analysis 73 (3):526-541.
R and Relevance Principle Revisited.Eunsuk Yang - 2013 - Journal of Philosophical Logic 42 (5):767-782.
Human Rationality Challenges Universal Logic.Brian R. Gaines - 2010 - Logica Universalis 4 (2):163-205.
Notes on Stratified Semantics.Shay Allen Logan - forthcoming - Journal of Philosophical Logic:1-38.

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