A Paradox of Unacceptability and an "Unacceptable" Equivocation

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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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Will Gamester
University of Leeds

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2025-04-07

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