Judgments vs Propositions in Alexander of Aphrodisias' Conception of Logic

History and Philosophy of Logic:1-15 (forthcoming)
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Abstract

This paper stresses the importance of identifying the nature of an author's conception of logic when using terms from modern logic in order to avoid, as far as possible, injecting our own conception of logic in the author's texts. Sundholm (2012. “‘Inference versus consequence” revisited: Inference, conditional, implication’, Synthese, 187, 943–956) points out that inferences are staged at the epistemic level and are made out of judgments, not propositions. Since it is now standard to read Aristotelian sullogismoi as inferences, I have taken Alexander of Aphrodisias's commentaries to Aristotle's logical treatises as a basis for arguing that the premises and conclusions should be read as judgments rather than as propositions. Under this reading, when Alexander speaks of protaseis, we should not read the modern notion of proposition, but rather what we now call judgments. The point is not just a matter of terminology, it is about the conception of logic this terminology conveys. In this regard, insisting on judgments rather than on propositions helps bring to light Alexander's epistemic conception of logic.

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Completeness of an ancient logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
What is a syllogism?Timothy J. Smiley - 1973 - Journal of Philosophical Logic 2 (1):136 - 154.
Ancient Logic.Susanne Bobzien - 2020 - Stanford Encyclopedia of Philosophy.

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