A Defence of the Interpretational Account of Validity

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Audrey Hammer

Abstract

Both the interpretational account and the representational account provide contrasting accounts of validity for natural-language arguments. While the interpretational account captures formal validity, unlike the representational account, it does not capture materially valid arguments. Therefore, materially valid arguments are viewed as counterexamples to the interpretational account. I motivate why we may want to defend the interpretational account over the representational account and then proceed to defend the interpretational account using the suppressed premise strategy. The first objection to the suppressed premise strategy is by Stephen Read, who argues that the supressed premise is redundant. My contribution is to demonstrate how his objection fails. I also discuss and defend the suppressed premise strategy against other objections, which concern the nature of the supressed premise and the problem of modus ponens.

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Author Biography

Audrey Hammer, University of Cambridge

Audrey is finishing a BA in Philosophy at the University of Cambridge. She is taking papers in Mathematical Logic, Philosophical Logic, Wittgenstein and His Successors, and Kant. Her dissertation is on the implica- tions of independence and incompleteness in results on realism set in theory. Next year she aims to pursue an MPhil in Philosophy at the University of Cambridge, where she wants to explore the nature of logic and mathematics.