The Changing Faces of the Problem of Space in the Work of Hermann Weyl

Starting from the quote from Hermann Weyl given in the title a ramble is undertaken through the development of the notion of function with special emphasis on the question whether the values are associated following a law. On the one hand, this shows a success story of the interplay of this notion and of infinitesimal calculus. On the other hand, one finds impressive examples of overgeneralizations. Classification: C30, D70, E40, I20, I30, M10. Keywords: notion of function, functional laws, overgeneralization.

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SYMMETRY REVISITED††This paper is based on lectures presented to the New York Academy of Sciences, 6 November 1986, and to the Special Session on “The Mathematical Science of Hermann Weyl: A Centenary Tribute”, American Mathematical Society, Amherst, Mass., 26 October 1985.

Symmetry 2 ◽

10.1016/b978-0-08-037237-2.50006-4 ◽

1989 ◽

pp. 1-12

Author(s):

M. SENECHAL

Keyword(s):

New York ◽

American Mathematical Society ◽

Mathematical Society ◽

York Academy ◽

Mathematical Science ◽

Special Session ◽

Hermann Weyl ◽

Academy Of Sciences

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Lectures on Weyl: Hermann Weyl, 1885-1985.

Science ◽

10.1126/science.236.4804.998 ◽

1987 ◽

Vol 236 (4804) ◽

pp. 998-999

Author(s):

L. MICHEL

Keyword(s):

Hermann Weyl

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Hermann Weyl

Physics Today ◽

10.1063/pt.5.031088 ◽

2015 ◽

Keyword(s):

Hermann Weyl

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The Unity of Knowledge, Hermann Weyl

Spectrum - Musings of the Masters ◽

10.1090/spec/042/06 ◽

2004 ◽

pp. 65-78

Keyword(s):

Hermann Weyl ◽

Unity Of Knowledge

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In memoriam Helene Weyl: A sketch, not so much of Hella as of our life together, written at the end of June 1948

The Leo Baeck Institute Year Book ◽

10.1093/leobaeck/yby023 ◽

2019 ◽

Vol 64 (1) ◽

pp. 241-250

Author(s):

Hermann Weyl

Keyword(s):

Early Life ◽

National Socialist ◽

Advanced Study ◽

In Memoriam ◽

Hermann Weyl

Abstract This text was composed as a eulogy for Helene Weyl (née Josef) by her husband, the prominent mathematician Hermann Weyl. It is, in his words, a ‘sketch, not so much of Hella as of our life together, written at the end of June 1948’, and covers her early life and their years together as young academics in Göttingen and Zürich, as well as their experiences under the National Socialist dictatorship, leading to their emigration in 1933. It concludes with an account of their last years together in Princeton, where Hermann was a member of the Institute of Advanced Study.

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