‘Nobody could possibly misunderstand what a group is’: a study in early twentieth-century group axiomatics

Author: 

Hollings, C

Publication Date: 

20 July 2017

Journal: 

Archive for History of Exact Sciences

Last Updated: 

2020-11-14T04:11:34.87+00:00

Issue: 

5

Volume: 

71

DOI: 

10.1007/s00407-017-0193-8

page: 

409-481

abstract: 

In the early years of the twentieth century, the so-called ‘postulate analysis’—the study of systems of axioms for mathematical objects for their own sake—was regarded by some as a vital part of the efforts to understand those objects. I consider the place of postulate analysis within early twentieth-century mathematics by focusing on the example of a group: I outline the axiomatic studies to which groups were subjected at this time and consider the changing attitudes towards such investigations.

Symplectic id: 

697646

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article