The Problem of the Object of Mathematics as Intelligible Substance in Aristotle's Metaphysics

Abstract

The A. examines the problem of intermediat emathematical entities by analyzing Metaphysics l017a9-l4, since, according to Aristotle. this passage is both a source and a critique of Plato's theory. The goal is to identify four cardinal points that may ground a dialogue between two contesting positions regarding this problem. Through them, it becomes evident that Aristotle severs the question of the intelligible nature of mathematical entities by using the conceptual scalpel of his own ousiology from Plato's broader stand point. By severing the continuity between mathematics and dialectics, Aristotle "reduces" and demolishes the image of Plato's mathematical conception.