Routes to relevance: Philosophies of relevant logics

Philosophy Compass 19 (2):e12965 (2024)
  Copy   BIBTEX

Abstract

Relevant logics are a family of non-classical logics characterized by the behavior of their implication connectives. Unlike some other non-classical logics, such as intuitionistic logic, there are multiple philosophical views motivating relevant logics. Further, different views seem to motivate different logics. In this article, we survey five major views motivating the adoption of relevant logics: Use Criterion, sufficiency, meaning containment, theory construction, and truthmaking. We highlight the philosophical differences as well as the different logics they support. We end with some questions for future research.

Other Versions

No versions found

Similar books and articles

Judgement aggregation in non-classical logics.Daniele Porello - 2017 - Journal of Applied Non-Classical Logics 27 (1-2):106-139.
Actual Issues for Relevant Logics.Shawn Standefer - 2020 - Ergo: An Open Access Journal of Philosophy 7.
Game theoretical semantics for some non-classical logics.Can Başkent - 2016 - Journal of Applied Non-Classical Logics 26 (3):208-239.
What is a Relevant Connective?Shawn Standefer - 2022 - Journal of Philosophical Logic 51 (4):919-950.
Neighbourhood Semantics for Quantified Relevant Logics.Andrew Tedder & Nicholas Ferenz - 2022 - Journal of Philosophical Logic 51 (3):457-484.
Consistent Theories in Inconsistent Logics.Franci Mangraviti & Andrew Tedder - 2023 - Journal of Philosophical Logic 52 (04):1133-1148.
A family of metainferential logics.Federico Matias Pailos - 2019 - Journal of Applied Non-Classical Logics 29 (1):97-120.

Analytics

Added to PP
2024-02-22

Downloads
426 (#68,226)

6 months
186 (#18,420)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Shawn Standefer
National Taiwan University

Citations of this work

No citations found.

Add more citations

References found in this work

Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Impossible Worlds.Francesco Berto & Mark Jago - 2019 - Oxford: Oxford University Press. Edited by Mark Jago.
Logical Pluralism.J. C. Beall & Greg Restall - 2005 - Oxford, GB: Oxford University Press. Edited by Greg Restall.
A Theory of Truthmaker Content I: Conjunction, Disjunction and Negation.Kit Fine - 2017 - Journal of Philosophical Logic 46 (6):625-674.
Relevant Logic: A Philosophical Interpretation.Edwin Mares - 2004 - New York: Cambridge University Press.

View all 84 references / Add more references