Article ID: CBB095893246

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


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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Authors & Contributors
Gray, Jeremy
Scholz, Erhard
McLarty, Colin
Mechthild Koreuber
Jentsch, Werner
Byers, Nina
Historia Mathematica
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Perspectives on Science
British Journal for the Philosophy of Science
Archive for History of Exact Sciences
British Society for the History of Mathematics Bulletin
Oxford University Press
Cambridge University Press
Éditions de l'École polytechnique
American Mathematical Society
Presses Universitaires de Nancy
Springer International
Philosophy of mathematics
Controversies and disputes
Noether, Emmy
Weyl, Hermann
Hilbert, David
Poincaré, Jules Henri
Minkowski, Hermann
Brandt, Heinrich
Time Periods
20th century, early
20th century
19th century
University of Chicago
Universität Göttingen
Göttingen. Universität
Göttingen Academy

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