Sriraman B. Handbook of the History and Philosophy of Mathematical Practice 2024

Textbook in PDF format

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.
Volume 1
From Origins to the Natural Historians/Philosophers
Mathematician’s Reflections on Practice and Working Philosophy of Mathematics
Volume 2
Influences in Twentieth- and Twenty-First-Century Mathematical Practice
Practical, Historical, and Philosophical Instances of Probability
Constructing the Reals: Paradoxes and Foundations
Volume 3
Practices in Euclidean and Non-Euclidean Geometry
Logic
Proof
Ontology
Pluralism
Volume 4
“Experimental” Mathematics
Views from Other Domains
New Perspectives
Semiology of Mathematical Practice
Index