Hermann Weyl’s “Purely Infinitesimal Geometry”

Hermann Weyl’s “Purely Infinitesimal Geometry”
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赫尔曼·韦尔的《纯无穷小几何》

DOI:
10.1007/978-3-0348-9078-6_156
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发表时间:
1995
期刊:
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影响因子:
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通讯作者:
E. Scholz
E. Scholz
中科院分区:
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文献类型:
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作者:
E. Scholz

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1916年和1921/22年是韦尔工作的一个阶段,在此期间,他对数学基础做出了最激进的贡献,并对微分几何和经典场论做出了极具创新性的贡献。所有这些工作都有很强的思考性背景。虽然韦尔从1913年开始在苏黎世生活和工作,但他仍然是德国公民,并于1915年5月应征加入德国军队。在1916年8月瑞士政府介入后,他被退役。1韦尔以个人的方式深切地感受到了第一次世界大战前后欧洲文化的深刻危机,尽管他的反应与其他德国学术知识分子感受到这场危机的方式有许多相似之处,特别是在文化科学方面。
The years 1916 and 1921/22 delimit a phase of Weyl’s work during which he made his most radical contributions to the foundations of mathematics as well as of highly innovative contributions to differential geometry and classical field theory. All of this work had a strongly speculative background. Although Weyl lived and worked in Zürich from 1913 onward, he continued to be a German citizen and had been drafted into the German army in May 1915. He was discharged from the service after an intervention by the Swiss government in August 1916.1The deep crisis of European culture in the years surrounding World War I was deeply felt in a very personal way by Weyl, although his reaction had much in common with the way this crisis was felt by other German academic intellectuals, particularly in the cultural sciences.2