The Arithmetical dictum

History and Philosophy of Logic 44 (4):373-394 (2023)
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Abstract

Building on previous scholarly work on the mathematical roots of assertoric syllogistic we submit that for Aristotle, the semantic value of the copula in universal affirmative propositions is the relation of divisibility on positive integers. The adequacy of this interpretation, labeled here ‘arithmetical dictum’, is assessed both theoretically and textually with respect to the existing interpretations, especially the so-called ‘mereological dictum’.

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Parts : a Study in Ontology.Peter Simons - 1987 - Revue de Métaphysique et de Morale 2:277-279.
Mereology.Achille C. Varzi & A. J. Cotnoir - 2021 - Oxford: Oxford University Press.
Aristotle's Metaphysics. Aristotle - 1966 - Clarendon Press.
Aristotle's Modal Syllogistic.Marko Malink - 2013 - Cambridge, MA and London: Harvard University Press.

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