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John Cleary here explores the role which the mathematical sciences play in Aristotles philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals withMoreJohn Cleary here explores the role which the mathematical sciences play in Aristotles philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Platos mathematical cosmology in the light of Aristotles critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotles philosophy of mathematics. Philosophia Antiqua, Aristotle and Mathematics: Aporetic Method in Cosmology and Metaphysics by John J. Cleary