Aristotle’s Account of Intelligible Matter as the Matter of Mathematical Objects

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Why is it important?

Aristotle explicitly speaks of intelligible matter in three passages only, all from the Metaphysics, in the context of the analysis of definition as the formula that expresses the essence: Metaph. Z10, 1036 a8-11; Metaph.Z11, 1037 a5; Metaph.H6, 1045 a34-36 and 45 b1. Contrary to the interpretation that there is a shift in meaning from Z10-11 to H6, my goal is to illustrate that in both contexts, Aristotle uses the expression ‘intelligible matter’ to designate the matter of mathematical objects insofar as they are paradigmatic intelligible compounds.