Article ID: CBB095893246

Why Did Weyl Think That Emmy Noether Made Algebra the Eldorado of Axiomatics? (2021)

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The article attempts to clarify Weyl’s metaphorical description of Emmy Noether’s algebra as the Eldorado of axiomatics. It discusses Weyl’s early view on axiomatics, which is part of his criticism of Dedekind and Hilbert, as motivated by Weyl’s acquiescence to a phenomenological epistemology of correctness. The article then describes Noether’s work in algebra, emphasizing in particular its ancestral relation to Dedekind’s and Hilbert’s works, as well as her mathematical methods, characterized by nonelementary reasoning—that is, reasoning detached from mathematical objects. The article then turns to Weyl’s remarks on Noether’s work and argues against assimilating her use of the axiomatic method in algebra to his late view on axiomatics, on the ground of the latter’s resistance to Noether’s principle of detachment.

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https://data.isiscb.org/isis/citation/CBB095893246/

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Authors & Contributors
Gray, Jeremy
Mechthild Koreuber
McLarty, Colin
McCoy, C. D.
Krzanowski, W. J.
Halák, Jan
Concepts
Mathematics
Philosophy of mathematics
Algebra
Geometry
Physics
Lie algebras
Time Periods
20th century, early
20th century
19th century
Modern
Places
Germany
Denmark
Institutions
Göttingen Academy
Göttingen. Universität
Universität Göttingen
University of Chicago
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