A Paradox of Unacceptability and an “Unacceptable” Equivocation

Abstract This paper presents, and solves, a new paradox of unacceptability. Inspired by a recent argument by Bradley Armour-Garb and James Woodbridge, my generalisation of their reasoning, if valid, shows that anyone who takes any sentence whatsoever to be unacceptable is committed to contradiction. I then show how to solve the paradox, by arguing that the reasoning in question equivocates on the word ‘unacceptable’. Those who think my solution works will learn something about how (not) to reason about acceptability, with important consequences for our evaluation of arguments in the philosophy of truth. Those who disagree will have a new paradox to grapple with.

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Publication Details

Journal
Analysis
Published
2025-04-08
DOI
https://doi.org/10.1093/analys/anaf036
Primary Topic
Epistemology, Ethics, and Metaphysics
Type
article
Field-Weighted Citation Impact
0.00
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article

A Paradox of Unacceptability and an “Unacceptable” Equivocation

Analysis
Epistemology, Ethics, and Metaphysics
article

A Paradox of Unacceptability and an “Unacceptable” Equivocation

article en

Abstract

Abstract This paper presents, and solves, a new paradox of unacceptability. Inspired by a recent argument by Bradley Armour-Garb and James Woodbridge, my generalisation of their reasoning, if valid, shows that anyone who takes any sentence whatsoever to be unacceptable is committed to contradiction. I then show how to solve the paradox, by arguing that the reasoning in question equivocates on the word ‘unacceptable’. Those who think my solution works will learn something about how (not) to reason about acceptability, with important consequences for our evaluation of arguments in the philosophy of truth. Those who disagree will have a new paradox to grapple with.

Analysis
University of Leeds (GB)
Reduced inequalities
Openalex Percentile: Top 30%
Epistemology, Ethics, and Metaphysics
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A Paradox of Unacceptability and an “Unacceptable” Equivocation · Analysis (2025) | TGRS Research Map | TGRS