Aristotle and Mathematics
Aporetic Method in Cosmology and Metaphysics
Seiten
1995
Brill (Verlag)
978-90-04-10159-3 (ISBN)
Brill (Verlag)
978-90-04-10159-3 (ISBN)
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This book examines Aristotle's critical reaction to the mathematical cosmology of Plato's Academy, and traces the aporetic method by which he developed his own cosmological and metaphysical views, which underpin his philosophy of mathematics.
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 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.
| Erscheint lt. Verlag | 1.5.1995 |
|---|---|
| Reihe/Serie | Philosophia Antiqua ; 67 |
| Verlagsort | Leiden |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 1184 g |
| Einbandart | Leinen |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Erkenntnistheorie / Wissenschaftstheorie |
| Geisteswissenschaften ► Philosophie ► Metaphysik / Ontologie | |
| Geisteswissenschaften ► Philosophie ► Philosophie Altertum / Antike | |
| Mathematik / Informatik ► Mathematik | |
| ISBN-10 | 90-04-10159-4 / 9004101594 |
| ISBN-13 | 978-90-04-10159-3 / 9789004101593 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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