Abstract
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.
| Original language | English |
|---|---|
| Publisher | Springer International Publishing |
| Number of pages | 3269 |
| Volume | 1-4 |
| ISBN (Electronic) | 9783031408465 |
| ISBN (Print) | 9783031408458 |
| DOIs | |
| State | Published - Jan 1 2024 |
Keywords
- Chandler Davis
- Constructing the reals
- Euclidean and non-Euclidean geometry
- Experimental mathematics
- Influences in 20c and 21c mathematical practice
- Logic
- Mathematicians reflections
- Natural history
- Natural philosophy
- New perspectives
- Ontology
- Origins
- Paradoxes and foundations
- Pluralism
- Probability
- Proof
- Reuben Hersh
- Semiology of mathematical practice
- Views from other domains
- Yuri Manin