Mathematics discovered, invented, and inherited
History and Overview
2013-09-24 v2 Group Theory
Abstract
The classical platonist/formalist dilemma in philosophy of mathematics can be expressed in lay terms as a deceptively naive question: is new mathematics discovered or invented? Using an example from my own mathematical life, I argue that there is also a third way: new mathematics can also be inherited -- and in the process briefly discuss a remarkable paper by W. Burnside of 1900.
Cite
@article{arxiv.1309.3073,
title = {Mathematics discovered, invented, and inherited},
author = {Alexandre Borovik},
journal= {arXiv preprint arXiv:1309.3073},
year = {2013}
}
Comments
Version 2: A few references have been added http://www.borovik.net/selecta/