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

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00407-017-0193-8

Authors


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Institution:
University of Oxford
Oxford college:
Queens College
Role:
Author


Publisher:
Springer Berlin Heidelberg
Journal:
Archive for History of Exact Sciences More from this journal
Volume:
71
Issue:
5
Pages:
409–481
Publication date:
2017-07-20
Acceptance date:
2017-05-30
DOI:
EISSN:
1432-0657
ISSN:
0003-9519


Language:
English
Keywords:
Pubs id:
pubs:697646
UUID:
uuid:c5667877-e003-474f-973f-33ff6deb8863
Local pid:
pubs:697646
Source identifiers:
697646
Deposit date:
2017-05-30

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