Valuations: Bi, Tri, and Tetra

Studia Logica 107 (6):1313-1346 (2019)
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Abstract

This paper considers some issues to do with valuational presentations of consequence relations, and the Galois connections between spaces of valuations and spaces of consequence relations. Some of what we present is known, and some even well-known; but much is new. The aim is a systematic overview of a range of results applicable to nonreflexive and nontransitive logics, as well as more familiar logics. We conclude by considering some connectives suggested by this approach.

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Author Profiles

Rohan French
University of California, Davis
David Ripley
Monash University

Citations of this work

One Step is Enough.David Ripley - forthcoming - Journal of Philosophical Logic:1-27.
A Family of Metainferential Logics.Federico Matias Pailos - 2019 - Journal of Applied Non-Classical Logics 29 (1):97-120.
Responses.David Ripley - 2021 - Análisis Filosófico 41 (2):351-373.

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References found in this work

Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Bulletin of Symbolic Logic 14 (4):544-545.
Reasoning with Logical Bilattices.Ofer Arieli & Arnon Avron - 1996 - Journal of Logic, Language and Information 5 (1):25--63.

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