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Aristotle and Mathematics
Aporetic Method in Cosmology and Metaphysics
Series: - Philosophia Antiqua, Volume: 67
Author:
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.
John J. Cleary, Ph.D. (1982) in Philosophy, Boston University, is lecturer at Maynooth College and associate professor at Boston College. He has published widely on ancient philosophy.
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...magisterial monograph...'
Eberhard Knobloch, Mathematical Reviews.
Eberhard Knobloch, Mathematical Reviews.
All those of graduate level and above interested in the history of ancient philosophy, mathematics and cosmology, as well as classical philosophers and philologists, including those concerned with hermeneutical approaches to ancient philosophical texts.