- 249 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
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.
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Information
Topic
PhilosophyTable of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- Contents
- Preface
- Acknowledgments
- Chapter 1: Number and Unity in the Phaedo
- Chapter 2: Whitehead and Plato: The Legacy of Triangles and Number
- 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
- Bibliography
- Index
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Yes, you can access On Mathematics, Unity, and the Good by David A. White in PDF and/or ePUB format, as well as other popular books in Philosophy & History & Philosophy of Mathematics. We have over 1.5 million books available in our catalogue for you to explore.