Who Needs a Proof of the Principle of Non-Contradiction?

Author:

Clarke Timothy1ORCID

Affiliation:

1. University of California , Berkeley , USA

Abstract

Abstract The topic of this paper is Aristotle’s ‘proof by refutation’ of the Principle of Non-Contradiction (Metaphysics Γ 4, 1006a11–1007a20). I consider a worry which has often been raised in connection with this proof. The worry is that, faced with an opponent who is prepared to tolerate contradictions, the argument is dialectically powerless: it is incapable of getting them to abandon their position. In reply, I argue that the proof needs to be seen in its proper context, that is, as part of Aristotle’s response to an opponent who demands a demonstration of the principle. This allows us to clarify the purpose of the argument and answer the worry about its effectiveness.

Publisher

Oxford University Press (OUP)

Reference26 articles.

1. ‘Aristotle: The Search for Substance’,;Anscombe,1961

2. ‘Proof and the Syllogism’,;Barnes,1981

3. ‘Enthymeme: Aristotle on the Logic of Persuasion’,;Burnyeat,1994

4. ‘Can You Deny the PNC? (Metaphysics Γ. 3, 1005b11–34)’,;Campbell;Oxford Studies in Ancient Philosophy,2022

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