R and Relevance Principle Revisited

Journal of Philosophical Logic 42 (5):767-782 (2013)
  Copy   BIBTEX

Abstract

This paper first shows that some versions of the logic R of Relevance do not satisfy the relevance principle introduced by Anderson and Belnap, the principle of which is generally accepted as the principle for relevance. After considering several possible (but defective) improvements of the relevance principle, this paper presents a new relevance principle for (three versions of) R, and explains why this principle is better than the original and others

Categories

Keywords

Reprint years

DOI

10.1007/s10992-012-9247-1

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 106,894

External links

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

Through your library

My notes

Similar books and articles

Substructural Fuzzy-Relevance Logic.Eunsuk Yang - 2015 - Notre Dame Journal of Formal Logic 56 (3):471-491.
There are 2ℵ0 logics with the relevance principle between R and rm.Wies law Dziobiak - 1982 - Bulletin of the Section of Logic 11 (3/4):161-166.
A Continuum of Inductive Methods Arising from a Generalized Principle of Instantial Relevance.C. J. Nix & J. B. Paris - 2006 - Journal of Philosophical Logic 35 (1):83-115.
Exhaustively axiomatizing RMO with an appropiate extension of Anderson and Belnap's “strong and natural list of valid entailments”.José M. Méndez - 1990 - Theoria 5 (1):223-228.
A survey of some recent results on Spectrum Exchangeability in Polyadic Inductive Logic.J. Landes, J. B. Paris & A. Vencovská - 2011 - Synthese 181 (S1):19 - 47.
Withered Relevance: Evaluating the Anderson-Belnap Account of Relevant Logics.Tore Fjetland Øgaard - 2025 - In Andrew Tedder, Shawn Standefer & Igor Sedlar, New Directions in Relevant Logic. Springer. pp. 61-96.
ANDERSON, A. R. & BELNAP, N. D., "Entailment: The Logic of Relevance and Necessity". [REVIEW]Richard Routley - 1980 - Australasian Journal of Philosophy 58:405.
The Systems of Relevance Logic.Ryszard Mirek - 2011 - Argument: Biannual Philosophical Journal 1 (1):87-102.
Atom Exchangeability and Instantial Relevance.J. B. Paris & P. Waterhouse - 2009 - Journal of Philosophical Logic 38 (3):313-332.

Analytics

Added to PP
2012-10-02

Downloads
136 (#172,824)

6 months
7 (#633,568)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Varieties of Relevant S5.Shawn Standefer - 2023 - Logic and Logical Philosophy 32 (1):53–80.
What is a Relevant Connective?Shawn Standefer - 2022 - Journal of Philosophical Logic 51 (4):919-950.
Variable-Sharing as Relevance.Shawn Standefer - 2025 - In Andrew Tedder, Shawn Standefer & Igor Sedlar, New Directions in Relevant Logic. Springer.
The philosophy of logical practice.Ben Martin - 2022 - Metaphilosophy 53 (2-3):267-283.

View all 12 citations / Add more citations

References found in this work

Relevant Logics and Their Rivals.Richard Routley, Val Plumwood, Robert K. Meyer & Ross T. Brady - 1982 - Ridgeview. Edited by Richard Sylvan & Ross Brady.
Logical Pluralism.J. C. Beall & Greg Restall - 2005 - Oxford, GB: Oxford University Press. Edited by Greg Restall.
Entailment: The Logic of Relevance and Neccessity, Vol. I.Alan Ross Anderson & Nuel D. Belnap - 1975 - Princeton, N.J.: Princeton University Press. Edited by Nuel D. Belnap & J. Michael Dunn.
Logical pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.

View all 25 references / Add more references