Valuations: Bi, Tri, and Tetra

Studia Logica 107 (6):1313-1346 (2019)
  Copy   BIBTEX

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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 74,480

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Valuations: Bi, Tri, and Tetra.Rohan French & David Ripley - 2019 - Studia Logica 107 (6):1313-1346.
Completeness and Super-Valuations.Gary M. Hardegree - 2005 - Journal of Philosophical Logic 34 (1):81 - 95.
Rational Valuations.Georg Spielthenner - 2007 - [email protected] - An International Journal for Moral Philosophy 6 (1):41-55.
Sequent Calculi for Some Trilattice Logics.Norihiro Kamide & Heinrich Wansing - 2009 - Review of Symbolic Logic 2 (2):374-395.
In Defense of Environmental Economics.Steven E. Edwards - 1987 - Environmental Ethics 9 (1):73-85.
In Defense of Environmental Economics.Steven E. Edwards - 1987 - Environmental Ethics 9 (1):73-85.
Is Multiset Consequence Trivial?Petr Cintula & Francesco Paoli - 2016 - Synthese 199 (Suppl 3):741-765.
Contraction and Closure.David Ripley - 2015 - Thought: A Journal of Philosophy 4 (2):131-138.

Analytics

Added to PP
2020-01-03

Downloads
16 (#662,576)

6 months
1 (#417,896)

Historical graph of downloads
How can I increase my downloads?

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.

Add more citations

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.
Semantic Analysis of Orthologic.R. I. Goldblatt - 1974 - Journal of Philosophical Logic 3 (1/2):19 - 35.

View all 29 references / Add more references