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The Continuous and the DiscreteAncient Physical Theories from a Contemporary Perspective$
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Michael J. White

Print publication date: 1992

Print ISBN-13: 9780198239529

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780198239529.001.0001

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Aristotle and the Mathematicians, Ancient and Modern

Aristotle and the Mathematicians, Ancient and Modern

(p.133) 4 Aristotle and the Mathematicians, Ancient and Modern
The Continuous and the Discrete

Michael J. White

Oxford University Press

This chapter suggests that it is only the development of the theory of transfinite sets in the latter half of the nineteenth century that completes the transformation of the Aristotelian metaphysical undergirding of his kinematic analysis into the very un-Aristotelian at-at ontology of motion. The first section examines some conceptual issues pertaining to the relation between Aristotle's physical/mathematical thought and ancient mathematics. The second section briefly discusses G. E. L. Owen's charge against Aristotelian rational kinematics and the points of contrast between Aristotle's views and the subsequent development of mathematics.

Keywords:   ancient mathematics, modern mathematics, Aristotle, infinite, G. E. L. Owen

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