What is a Rule of Inference?

Review of Symbolic Logic 14 (2):307-346 (2021)
  Copy   BIBTEX

Abstract

We explore the problems that confront any attempt to explain or explicate exactly what a primitive logical rule of inferenceis, orconsists in. We arrive at a proposed solution that places a surprisingly heavy load on the prospect of being able to understand and deal with specifications of rules that are essentiallyself-referring. That is, any rule$\rho $is to be understood via a specification that involves, embedded within it, reference to rule$\rho $itself. Just how we arrive at this position is explained by reference to familiar rules as well as less familiar ones with unusual features. An inquiry of this kind is surprisingly absent from the foundations of inferentialism—the view that meanings of expressions (especially logical ones) are to be characterized by the rules of inference that govern them.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,853

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

Deflationism and Logic.Christopher Gauker - 1999 - Facta Philosophica (1):167-199.
Empirical equivalence, explanatory force, and the inference to the best theory.Igor Douven - 2005 - Poznan Studies in the Philosophy of the Sciences and the Humanities 83 (1):281-309.
Inference to the Best Explanation Made Incoherent.Nevin Climenhaga - 2017 - Journal of Philosophy 114 (5):251-273.
Ibe and ebi: On explanation before inference.Johannes Persson - 2007 - In Johannes Persson & Petri Ylikoski (eds.), Rethinking Explanation. Springer.
IBE and EBI: on explanation before inference.Johannes Persson - 2007 - In Johannes Persson & Petri Ylikoski (eds.), Rethinking Explanation. Springer. pp. 252--137.
Eight Inference Rules for Implication.Michael Arndt - 2019 - Studia Logica 107 (4):781-808.
Likelihood and convergence.Elliott Sober - 1988 - Philosophy of Science 55 (2):228-237.
What is an inference rule?Ronald Fagin, Joseph Y. Halpern & Moshe Y. Vardi - 1992 - Journal of Symbolic Logic 57 (3):1018-1045.
What is Logic?Hintikka Jaakko & Gabriel Sandu - 2006 - In Dale Jacquette (ed.), Philosophy of Logic. North Holland. pp. 13--39.
Kearns on Rule A.P. Roger Turner - 2015 - Philosophia 43 (1):205-215.

Analytics

Added to PP
2020-12-22

Downloads
126 (#144,004)

6 months
25 (#114,624)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Neil Tennant
Ohio State University

Citations of this work

No citations found.

Add more citations

References found in this work

What is inference?Paul Boghossian - 2014 - Philosophical Studies 169 (1):1-18.
Tonk, Plonk and Plink.Nuel Belnap - 1962 - Analysis 22 (6):130-134.
Comment on Paul Boghossian, "What is inference".Crispin Wright - 2014 - Philosophical Studies 169 (1):27-37.
Elements of Intuitionism.Michael Dummett - 1980 - British Journal for the Philosophy of Science 31 (3):299-301.
A natural extension of natural deduction.Peter Schroeder-Heister - 1984 - Journal of Symbolic Logic 49 (4):1284-1300.

View all 22 references / Add more references