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: 93,779

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

Rule-Irredundancy and the Sequent Calculus for Core Logic.Neil Tennant - 2016 - Notre Dame Journal of Formal Logic 57 (1):105-125.
A Classification of Improper Inference Rules.Katsumi Sasaki - 2022 - Bulletin of the Section of Logic 51 (2):243-266.
Completeness also Solves Carnap’s Problem.Eric Johannesson - 2022 - Thought: A Journal of Philosophy 11 (4):192-198.
The single-conclusion proof logic and inference rules specification.Vladimir N. Krupski - 2001 - Annals of Pure and Applied Logic 113 (1-3):181-206.
Deflationism and Logic.Christopher Gauker - 1999 - Facta Philosophica (1):167-199.
Logic as instrument: the millian view on the role of logic.Ken Akiba - 1996 - History and Philosophy of Logic 17 (1-2):73-83.
Introducing Identity.Owen Griffiths & Arif Ahmed - 2021 - Journal of Philosophical Logic 50 (6):1449-1469.
Focusing Gentzen’s LK Proof System.Chuck Liang & Dale Miller - 2024 - In Thomas Piecha & Kai F. Wehmeier (eds.), Peter Schroeder-Heister on Proof-Theoretic Semantics. Springer. pp. 275-313.

Analytics

Added to PP
2020-12-22

Downloads
132 (#137,915)

6 months
25 (#144,269)

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.
Elements of Intuitionism.Michael Dummett - 1980 - British Journal for the Philosophy of Science 31 (3):299-301.
Comment on Paul Boghossian, "What is inference".Crispin Wright - 2014 - Philosophical Studies 169 (1):27-37.
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