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An Argument from Proof Theory against Implicit Conventionalism

Bibliographic Data

ID10689583
AuthorsRachel Golan (0000-0003-4923-9998, Ben-Gurion University of the Negev, corresponding author)
Year2023
Volume74
Issue1
Pages273-290
Publication date2023-12-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueThe Philosophical Quarterly (JOURNAL)
Journal identifiersISSN: 0031-8094 • E-ISSN: 1467-9213
PublisherOxford University Press (PUBLISHER • GB)
DOI10.1093/pq/pqac066
OpenAlexW4306746329
LanguageEN
References cited22

Conventionalism about logic is the view that logical principles hold in virtue of some linguistic conventions. According to explicit conventionalism, these conventions have to be stipulated explicitly. Explicit conventionalism is subject to a famous criticism by Quine, who accused it of leading to an infinite regress. In response to the criticism, several authors have suggested reconstructing conventionalism as implicit in our linguistic behaviour. In this paper, drawing on a distinction from proof theory between derivable and admissible rules, I argue that implicit conventionalism has not been stated in a sufficiently precise way, as it leaves open what one needs to say about admissible yet underivable rules. Moreover, it turns out that this challenge cannot be easily met, and that any attempt to meet the challenge makes conventionalism much less attractive a thesis

Argument (complex analysis) · Conventionalism · Criticism · Epistemology · Political science · Quine · Advanced Algebra and Logic · Law · Logic, Reasoning, and Knowledge · Mathematics · Philosophy · Philosophy and Theoretical Science

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    Rudolf Carnap•The logical syntax of language•1937

  • Mathematical Truth

    Paul Benacerraf•The Journal of Philosophy•1973

  • What is inference?

    Open Access•Paul Boghossian•Philosophical Studies•2014

  • Writing the Book of the World

    Theodore Sider•Writing the book of the world•2011

  • Convention

    David Lewis•Convention•2002

Citation velocityhistorical
Highly citedNo

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