Thomas Aquinas’ Mathematical Realism
Autor Jean W. Riouxen Limba Engleză Hardback – 29 iun 2023
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Specificații
ISBN-13: 9783031331275
ISBN-10: 3031331273
Pagini: 280
Ilustrații: XI, 280 p.
Dimensiuni: 148 x 210 mm
Greutate: 0.5 kg
Ediția:2023
Editura: Springer International Publishing
Colecția Palgrave Macmillan
Locul publicării:Cham, Switzerland
ISBN-10: 3031331273
Pagini: 280
Ilustrații: XI, 280 p.
Dimensiuni: 148 x 210 mm
Greutate: 0.5 kg
Ediția:2023
Editura: Springer International Publishing
Colecția Palgrave Macmillan
Locul publicării:Cham, Switzerland
Cuprins
Chapter 1: Introduction.- Part 1: Mathematical Realism in Plato and Aristotle.- Chapter 2: Plato on Mathematics and the Mathematicals.- Chapter 3: Aristotle on the Objects of Mathematics.- Chapter 4: Aristotle on The Speculative and Middle Sciences. - Chapter 5: Aristotle on Abstraction and Intelligible Matter. Part 2: Mathematical Realism in Aquinas.- Chapter 6: The Objects of Mathematics, Mathematical Freedom, and the Art of Mathematics.- Chapter 7: To Be Virtually.- Chapter 8: Mathematics and the Liberal Arts.- Chapter 9: The Place of the Imagination in Mathematics.- Part 3: Aristotle, Aquinas, and Modern Philosophies of Mathematics.- Chapter 10: Subsequent Developments in Number Theory.- Chapter 11: Non-Euclidean Geometry.- Chapter 12: Cantor, Finitism, and the 20th-Century Controversies.- Chapter 13: Realism and Non-Realism in Mathematics.- Chapter 14: This account as compared to other modern Aristotelian-Thomistic accounts.- Chapter 15: Foundations Restored?
Recenzii
“Jean Rioux has written an admirable synthesis of the main debates in the philosophy of mathematics between those of a largely classical perspective ... . The book weaves together three main threads … . The best quality of the book is precisely Rioux’s interweaving of the threads of his investigation.” (Timothy Kearns, Thomistica, thomistica.net, November 21, 2023)
Notă biografică
Jean W. Rioux is Professor and Chair of the Philosophy Department at Benedictine College, Atchison, USA.
Textul de pe ultima copertă
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.
Caracteristici
Studies the influence of Plato and Aristotle on Aquinas's philosophy of math Considers what taking the claims made by Aristotle and Aquinas seriously would mean for contemporary mathematics Examines mathematical realism and virtuality in Plato and Aristotle