On Mathematics, Unity, and the Good

Name: On Mathematics, Unity, and the Good
Price: 160 AUD
Availability: OutOfStock
ISBN: 9781666963311

Plato, Whitehead, Aristotle

David A. White

$160

Hardback

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English

Rowman & Littlefield
22 January 2026

Western philosophy: Ancient, to c 500; Philosophy: metaphysics & ontology; History of ideas; Philosophy of mathematics

This book demonstrates that mathematical positions are based on metaphysical elements, which in turn provide schemata for evaluating and expanding metaphysical positions. The argument is grounded in the Platonic notion of the good, Whitehead’s late essay on mathematics and the good, and Aristotle’s sustained criticisms of Platonic philosophy of mathematics. Bridging ancient and modern thought, from Phaedo to the modern notion of Abelian groups in mathematics, it demonstrates that both mathematics and metaphysics incorporate contrast-rich experience and context-independent formalism and—at their best—can be partners in helping to discern fundamental features of the fullness of reality. David A. White explores how developments in mathematics and mathematical understanding can indicate, illustrate, and contribute to assessing metaphysical considerations when accounts of reality are approached from the standpoint of an articulated representation of the good.

By: David A. White
Imprint: Rowman & Littlefield
Country of Publication: United States
Dimensions: Height: 229mm, Width: 152mm,
ISBN: 9781666963311
ISBN 10: 1666963313
Pages: 240
Publication Date: 22 January 2026
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

ContentsAcknowledgments Preface Chapter 1 Number and Unity in the Phaedo Chapter 2 Whitehead and Plato: The Legacy of Triangles and Numbers Chapter 3 Plato and the Notion of Grouping: Collection and Division Chapter 4 Mathematics and Grouping–Collection and Division Revisited Chapter 5 Aristotle and the Metaphysics of Numbers Chapter 6 Aristotle and Grouping: An Intersection of Mathematics and Metaphysics Chapter 7 Mathematics and the Good: A Speculative Prelude to Metaphysics Chapter 8 Mathematics and the Good: On the Maximization of Metaphysics Notes Bibliography Index

David A. White taught philosophy for many years at DePaul University, USA.