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

Hollings Christopher D.

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

机译：“没有人可能误解了一个团体是什么”：在二十世纪初期的小组公理学中的一项研究

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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.

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《Archive for History of Exact Sciences》 |2017年第5期|共73页
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Hollings Christopher D.;
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Univ Oxford Math Inst Radcliffe Observ Quarter Andrew Wiles Bldg Woodstock Rd Oxford OX2 6GG England;

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正文语种 eng
中图分类自然科学总论;
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'Nobody could possibly misunderstand what a group is': a study in early twentieth-century group axiomatics

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