Aristotle and Mathematics

Aristotle and Mathematics : Aporetic Method in Cosmology and Metaphysics

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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.
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Product details

  • Hardback | 464 pages
  • 155 x 235 x 42.42mm | 1,184g
  • Leiden, Netherlands
  • English
  • 9004101594
  • 9789004101593
  • 3,564,000

Review quote

'...magisterial monograph...'
Eberhard Knobloch, Mathematical Reviews.
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About John J. Cleary

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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