ISBN13: | 9783031408458 |
ISBN10: | 3031408454 |
Binding: | Hardback |
No. of pages: | 3269 pages |
Size: | 235x155 mm |
Language: | English |
Illustrations: | 408 Illustrations, black & white; 106 Illustrations, color |
699 |
Handbook of the History and Philosophy of Mathematical Practice
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The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. Each section offers insights into the origins, debates, methodologies, and newer perspectives that characterize the discipline today. Contributions are written by scholars from mathematics, history, and philosophy ? as well as other disciplines that have contributed to the richness of perspectives abundant in the study of philosophy today ? who describe various mathematical practices throughout different time periods and contrast them with the development of philosophy.
Editorial Advisory Board
Andrew Aberdein, Florida Institute ofTechnology, USA
Jody Azzouni, Tufts University, USA
Otávio Bueno, University of Miami, USAWilliam Byers, Concordia University, Canada
Carlo Cellucci, Sapienza University of Rome, ItalyChandler Davis, University of Toronto, Canada (1926-2022)
Paul Ernest, University of Exeter, UK
Michele Friend, George Washington University, USA
Reuben Hersh, University of New Mexico, USA (1927-2020)
Kyeong-Hwa Lee, Seoul National University, South Korea Yuri Manin, Max Planck Institute for Mathematics, Germany (1937-2023)Athanase Papadopoulos, University of Strasbourg, France
Ulf Persson, Chalmers University of Technology, Sweden
John Stillwell, University of San Francisco, USA
David Tall, University of Warwick, UK
Introduction to the Handbook of the History and Philosophy of Mathematical Practice.- From Origins to the Natural Historians/Philosophers.- Logic.- Practices in Euclidean and Non-Euclidean Geometry.- ?Experimental? Mathematics.- Constructing the Reals; Paradoxes and Foundations.- Views from Other Domains.- Ontology.- Proof.- Pluralism.- New Perspectives.- Trends and Influences in 20th Century Mathematics. Mathematicians? Reflections on Practice and Working Philosophy of Mathematics. Practical, Historical, and Philosophical Instances of Probability.- Semiology of Mathematical Practice.