Whence Admissibility Constraints? From Inferentialism to Tolerance

Abstract Prior’s invented connective ‘tonk’ is sometimes taken to reveal a problem for certain inferentialist approaches to metasemantics: according to such approaches, the truth-theoretic features of our expressions are fully determined by the rules of inference we’re disposed to follow, but admitting the ‘tonk’ rules into a language would lead to intuitively absurd results. Inferentialists tend to insist that they can avoid these results: there are constraints on what sets of inference rules can legitimately be admitted into a language, the story goes, and the rules governing disruptive expressions like ‘tonk’ are defective and so inadmissible. I argue, though, that from an inferentialist perspective, there’s no genuine sense in which rules like the ‘tonk’ rules are defective; in fact, anyone who endorses the relevant sort of inferentialism turns out to be committed to Carnap’s principle of tolerance. I then explain why this, despite appearances, isn’t a problem for inferentialism.

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Publication Details

Journal
Journal of Philosophical Logic
Published
2026-03-13
DOI
https://doi.org/10.1007/s10992-026-09836-8
Primary Topic
Philosophy and Theoretical Science
Type
article
Field-Weighted Citation Impact
0.00

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article

Whence Admissibility Constraints? From Inferentialism to Tolerance

Brett Topey
Journal of Philosophical Logic
Philosophy and Theoretical Science
article

Whence Admissibility Constraints? From Inferentialism to Tolerance

Brett Topey
article en

Abstract

Abstract Prior’s invented connective ‘tonk’ is sometimes taken to reveal a problem for certain inferentialist approaches to metasemantics: according to such approaches, the truth-theoretic features of our expressions are fully determined by the rules of inference we’re disposed to follow, but admitting the ‘tonk’ rules into a language would lead to intuitively absurd results. Inferentialists tend to insist that they can avoid these results: there are constraints on what sets of inference rules can legitimately be admitted into a language, the story goes, and the rules governing disruptive expressions like ‘tonk’ are defective and so inadmissible. I argue, though, that from an inferentialist perspective, there’s no genuine sense in which rules like the ‘tonk’ rules are defective; in fact, anyone who endorses the relevant sort of inferentialism turns out to be committed to Carnap’s principle of tolerance. I then explain why this, despite appearances, isn’t a problem for inferentialism.

Journal of Philosophical Logic
University of Salzburg (AT)
City University of New York, Austrian Science Fund, Universität Salzburg, Graduate Center
Reduced inequalities
Openalex Percentile: Top 27%
Philosophy and Theoretical Science
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Whence Admissibility Constraints? From Inferentialism to Tolerance — Brett Topey · Journal of Philosophical Logic (2026) | TGRS Research Map | TGRS