Aristotle and Mathematics: Aporetic Method in Cosmology and Metaphysics

Aristotle and Mathematics: Aporetic Method in Cosmology and Metaphysics

by John J. Cleary
     
 

ISBN-10: 9004101594

ISBN-13: 9789004101593

Pub. Date: 05/01/1995

Publisher: Brill Academic Publishers, Inc.

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

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Overview

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.

Product Details

ISBN-13:
9789004101593
Publisher:
Brill Academic Publishers, Inc.
Publication date:
05/01/1995
Series:
Philosophia Antiqua Series, #67
Pages:
558
Product dimensions:
6.70(w) x 9.62(h) x 1.67(d)

Table of Contents

Vorwort
Preface
Acknowledgements
Abbreviations
Introduction
Ch. 1The Academic Background1
Ch. 2Aristotle's Criticism of Plato's Mathematical Cosmology71
Ch. 3Problems about Mathematical Objects143
Ch. 4Aristotle's Dialectical Method199
Ch. 5The Ontological Status of Mathematical Objects268
Ch. 6The Perfection of the Cosmos345
Ch. 7Aristotle's Philosophy of Mathematics424
General Conclusion495
Bibliography505
Index Locorum529
General Index546

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