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Title: Aristotle and Mathematics: Aporetic Method in Cosmology and Metaphysics
Author: Cleary, John J
Publisher: Brill; Publication Date: 1995
Hardcover; ISBN: 9789004101593
Volumes: 1; Pages: xxxvi, 558
List Price in Cloth: $322.00 Our price: $273.99
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John Cleary here explores the role which the mathematical sciences play in Aristotle's 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 Plato's mathematical cosmology in the light of Aristotle's 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 Aristotle's philosophy of mathematics.