‘Nobody could possibly misunderstand what a group is’: a study in early twentieth-century group axiomatics
Identifieur interne : 000002 ( Main/Merge ); précédent : 000001; suivant : 000003‘Nobody could possibly misunderstand what a group is’: a study in early twentieth-century group axiomatics
Auteurs : Christopher D. HollingsSource :
- Archive for History of Exact Sciences [ 0003-9519 ] ; 2017.
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.
Url:
DOI: 10.1007/s00407-017-0193-8
PubMed: 28912607
PubMed Central: 5573778
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PMC:5573778Le document en format XML
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<front><div type="abstract" xml:lang="en"><p id="Par1">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.</p>
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