The Principle of Bivalence in De interpretatione 4

Oxford Studies in Ancient Philosophy 38:97-113 (2010)
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Abstract

In De int. 9 Aristotle argues that some declarative sentences are neither true nor false. This raises the problem of how we should understand the words of ch. 4, which introduces the declarative sentence as ‘that in which being true or being false holds’. In this paper I remove the contradiction by arguing that in ch. 4 Aristotle does not intend to claim that *all* declarative sentences are either true or false, but rather that *only* they are either true or false, unlike other kinds of sentence; I defend the soundness of this interpretation on the linguistic and textual level; and I show how we can make good philosophical sense of it.

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Francesco Ademollo
Università degli Studi di Firenze

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