Why Did Weyl Think that Emmy Noether Made Algebra the Eldorado of Axiomatics?

Download Edit this record How to cite View on PhilPapers
Abstract
The paper 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, then it 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 non-elementary reasoning, i.e., reasoning detached from mathematical objects. The paper turns then 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.
Keywords
No keywords specified (fix it)
PhilPapers/Archive ID
TOAWDW-2
Upload history
Archival date: 2020-08-18
View other versions
Added to PP index
2020-08-18

Total views
56 ( #45,013 of 54,388 )

Recent downloads (6 months)
56 ( #11,746 of 54,388 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.