Thomas Aquinas’ Mathematical Realism 1st edition Jean W. Rioux – Ebook Instant Download/Delivery ISBN(s): 9783031331275,3031331273,9783031331282, 3031331281
Product details:
- ISBN 10: 3031331281
- ISBN 13:9783031331282
- Author: Jean W. Rioux
In this book, philosopher Jean W. Rioux extends accounts of the Aristotelian philosophy of mathematics to what Thomas Aquinas was able to import from Aristotle’s notions of pure and applied mathematics, accompanied by his own original contributions to them. Rioux sets these accounts side-by-side modern and contemporary ones, comparing their strengths and weaknesses.
Table contents:
1. Introduction
Part I. Mathematical Realism in Plato and Aristotle
2. Plato on Mathematics and the Mathematicals
3. Aristotle on the Objects of Mathematics
4. Aristotle on the Speculative and Middle Sciences
5. Aristotle on Abstraction and Intelligible Matter
Part II. Mathematical Realism in Aquinas
6. Objects, Freedom, and Art
7. To Be Virtually
8. Mathematics and the Liberal Arts
9. The Place of the Imagination
Part III. Modern Philosophies of Mathematics
10. Going Beyond
11. Cantor, Finitism, and Twentieth-Century Controversies
12. Mathematical Realism and Anti-Realism
13. Modern Aristotelian and Thomistic Accounts
Part IV. Conclusion
14. Mathematics Is a Mixed Bag
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