Handbook of the History and Philosophy of Mathematical Practice

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, USA

William Byers, Concordia University, Canada

Carlo Cellucci, Sapienza University of Rome, Italy

Chandler 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

This book with its exciting depth and breadth, illuminates us about the history, practice, and the very language of our subject; about the role of abstraction, ofproof and manners of proof; about the interplay of fundamental intuitions; about algebraic thought in contrast to geometric thought. The richness of mathematics and the philosophy encompassing it is splendidly exhibited over the wide range of time these volumes cover---from deep platonic and neoplatonic influences to the most current experimental approaches.   Enriched, as well, with vivid biographies and brilliant personal essays written by (and about) people who play an important role in our tradition, this extraordinary collection of essays is fittingly dedicated to the memory of Chandler Davis, Reuben Hersh, and Yuri Manin.