Talk:Emmy Noether

Re: To-do list for Emmy Noether

van der Waerden, Bartel L. (1985). A History of Algebra: From al-Khwārizmī to Emmy Noether. Berlin: Springer-Verlag. p. 244. ISBN 978-0-387-13610-3.

cites:

Noether, Emmy (1929), "Hyperkomplexe Größen und Darstellungstheorie" [Hypercomplex Quantities and the Theory of Representations], Mathematische Annalen (in German), 30: 641–92, doi:10.1007/BF01187794, S2CID 120464373, archived from the original on 2016-03-29, retrieved 2016-01-14

and remarks:

This publication has had a profound influence on the development of modern algebra. I shall now summarize its content. In the introduction Emmy Noether states that in recent publications the structure theory of algebras and the representation theory of finite groups have been separated completely. She, on the other hand, aims at a purely arithmetical foundation, in which the structure theory and the representation theory of groups and algebras appear as a unified whole, namely as a theory of modules and ideals in rings satisfying finiteness conditions.—van der Waerden

this book may help:

Roselló, Joan. Hilbert, Göttingen and the Development of Modern Mathematics. Cambridge Scholars Publishing. pp. 205–213. ISBN 978-1-5275-2762-1. Chapter Twenty-One: The Noether School and the Rise of Modern Algebra

Oko5ekmi5 (talk) 09:10, 3 September 2020 (UTC)

The maxim by which Emmy Noether was guided throughout her work might be formulated as follows: "Any relationships between numbers, functions and operations only become transparent, generally applicable, and fully productive after they have been isolated from their particular objects and been formu1ated as universally valid concepts."—van der Waerden, Bartel L. (Emmy Noether obituary)

Isomorphism.....?

Oko5ekmi5 (talk) 13:28, 3 September 2020 (UTC)

Ernst Fischer at Erlangen influenced her away from Gordan's constructivist style, dominated by forms and formulas, toward Hilbert's more axiomatic and abstract style, characterized by existence proofs.
—Clark Kimberling https://faculty.evansville.edu/ck6/bstud/enmc.html

Oko5ekmi5 (talk) 15:15, 3 September 2020 (UTC)

Noether’s work on factorization properties of ideals in abstract rigs, beginning in 1921, marks a turning point in the history of mathematics, because of its influence on shaping this view and in displaying its power. The spread of this view and its tremendous impact on mathematics at large over the 20th century came through the mediation of a famous textbook, Moderne Algebra, published in 1930 by Bartel L. van der Waerden under the decisive influence of Noether’s lectures in Göttingen (as well as of Emil Artin’s courses in Hamburg)—Leo Corry, Tel-Aviv University

My methods are working methods and perception methods and therefore penetrated anonymously everywhere. (Noether, 1931)

Emmy Noether, one of the most important mathematicians in the world, shaped modern algebra with her “working and perception methods” and made a decisive contribution to the algebraization of mathematical disciplines. Noether opened up new mathematical ways of thinking by developing a structural perspective on mathematics. With her habilitation thesis published in 1918, she solved central mathematical problems of general relativity. On June 4, 1919, Emmy Noether gave her habilitation lecture; she was the first woman to be qualified as a professor in Prussia.—Interdisciplinary conference on the occasion of the 100th anniversary of Emmy Noether's habilitation

Oko5ekmi5 (talk) 07:34, 8 September 2020 (UTC)

A Commons file used on this page or its Wikidata item has been nominated for deletion

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• Noether.jpg

Participate in the deletion discussion at the nomination page. —Community Tech bot (talk) 22:57, 22 January 2021 (UTC)

WP:URFA/2020

I am reviewing this article as part of WP:URFA/2020, and initiative to review older featured articles to ensure that they still meet the featured article criteria. After reviewing this article, I have some concerns:

• Many sources listed in "Additional sources" are not used as inline citations in the article. Should they be reviewed and used?
• There is a huge "External links" section. Is anyone interested in going through this, using the useful sources and deleting what is not necessary?
• There are many uncited sections throughout the article, and the orange banner above "Contributions to mathematics and physics".

Is anyone interested in resolving these, or should this article go to FAR? Z1720 (talk) 14:14, 20 August 2023 (UTC)

I'm not sure that the first two are related to the FA criteria. External links are not mentioned in the criteria and general references, while rare in contemporaneous editing, are not prohibited. Wikipedia:When to cite leaves room for many claims to be sourced generally but not inline.

It seems to me that there are four types of statements not followed by a small blue superscript:

1. Content clearly found in most biographies of Noether, including many listed sources: In 1919 the University of Göttingen allowed Noether to proceed with her habilitation. These could easily be given inline citations but may not need them.
2. Content that is sourced, but not with a small blue superscript: Although the results of Noether's first epoch were impressive and useful, her fame among mathematicians rests more on the groundbreaking work she did in her second and third epochs, as noted by Hermann Weyl and B.L. van der Waerden in their obituaries of her.
3. Content that is mathematical/technical, where different citation styles are used to the rest of Wikipedia, such as: An example of an invariant is the discriminant B² − 4 A C of a binary quadratic form. See Wikipedia:Scientific citation guidelines#Uncontroversial knowledge. Some of this may still need inline citations.
4. Content that (while true) is not sourced and probably needs rewriting, and possibly also an inline citation: This phase marks the beginning of her engagement with abstract algebra, the field of mathematics to which she would make groundbreaking contributions.

I'm not going to be able to tackle this article myself any time soon, but I wonder if what it needs is a once-over by someone who is both a mathematician and a Wikipedian. — Bilorv (talk) 17:34, 28 August 2023 (UTC)

@Bilorv: Following up with this: Do you think this still needs a mathematician-inclined editor to take a look? Do you think this should go to FAR? Z1720 (talk) 16:13, 14 November 2023 (UTC)

I'm not sure it's any more likely to get the right attention at FAR, but yes, this needs a mathematician to look at. It would be a shame if this was delisted but I still can't commit to any help, regrettably. — Bilorv (talk) 19:49, 14 November 2023 (UTC)

@Bilorv: We have a couple of math-specialist editors that watch FAR. Would you be interested in nominating this article there? That way you can better explain your concerns with this article. Z1720 (talk) 14:43, 21 November 2023 (UTC)

Citations needed

Leaving notes here as they come up. Haven't found a citation for §University of Erlangen: "In 1910 and 1911 she published an extension of her thesis work from three variables to n variables", but Dick p. 20 could at least support her giving a lecture to the DMV on the topic in 1909. Rowe 2021 talks a bit abstractly about her work during this period on that topic. Firefangledfeathers (talk / contribs) 22:11, 8 March 2024 (UTC)

Thank you for working on the article. I don't have a book citation for what you're looking for but the paper for this work can be found in the article Emmy Noether bibliography.

The external links for the 1910 announcement of the paper is this this (pp. 101-104). The link for the 1911 paper is this (pp. 118–154). Sgubaldo (talk) 22:24, 8 March 2024 (UTC)

I'm still hopeful to find a secondary source mention, but that's a good backup. Wouldn't add them myself, since the German is a bit outside my capabilities. Firefangledfeathers (talk / contribs) 01:58, 10 March 2024 (UTC)

Kosmann-Schwarzbach, Yvette; Schwarzbach, Bertram E. (2011). The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer. p. 44. doi:10.1007/978-0-387-87868-3. ISBN 9780387878683. In her next article, 'On the theory of invariants of forms of n variables' [1911], which had been announced the year before its publication (Noether [1910]), she extended the arguments of her thesis to the case of forms in n variables. —David Eppstein (talk) 02:22, 10 March 2024 (UTC)

Looks great. Thanks! Firefangledfeathers (talk / contribs) 02:44, 10 March 2024 (UTC)

No luck yet on the "This phase marks the beginning ..." tag in §University of Erlangen, but Dick and Rowe at least seem to dance around it, and I could probably come up with a solidly sourced similar phrase. Firefangledfeathers (talk / contribs) 03:47, 10 March 2024 (UTC)

I went through Rowe 2021, Rowe & Koreuber 2020, Dick 1981 to try and find a source for the phrase 'Her family paid for her room and board and supported her academic work' but couldn't find anything. There's plenty showcasing how she wasn't paid until 1923 but nothing specifically on her family financially supporting her. I finally found something in Page 99 of Emmy Noether: The Mother of Modern Algebra by Margaret B. W. Tent. I'm a little wary of using it a source, however, as it's aimed at young teenagers and the author creatively makes up conversations between historical figures. Does anyone know of a better source or would it be better to just remove the statement entirely? Sgubaldo (talk) 19:46, 14 April 2024 (UTC)

I'd be content with removing that. We can always restore it if a source turns up that is less marginal. XOR'easter (talk) 21:53, 15 April 2024 (UTC)

Hilbert responded with indignation, supposedly

The current article has a sentence starting

• Hilbert responded with indignation, supposedly...

with a footnote undermining the quotation. If the quotation is not reliable it should not be used; if it is reliable it should not be qualified in a footnote. The exchange can be summarized rather than quoted if that is all the references support. Johnjbarton (talk) 04:00, 25 April 2024 (UTC)

The Hilbert quotation in its current form is only used by Kimberling's source. The rest quote a slightly different statement and/or say that the bathhouse quote (which was first told by Weyl in his memorial address) hasn't been authenticated.

It could be changed to something like: "Hilbert, who believed Noether's qualifications was the only important issue and that the sex of the candidate was irrelevant, objected with indignation and scolded those protesting her habilitation."?

Perhaps with "His objection is often said to have included the remark "After all, we are a university, not a bathhouse.", though the utterance of this statement has not been authenticated." in a footnote.

Sgubaldo (talk) 10:26, 25 April 2024 (UTC) Sgubaldo (talk) 10:26, 25 April 2024 (UTC)

I tried a rewrite along those lines. It's too famous a quip to be omitted entirely. XOR'easter (talk) 20:13, 25 April 2024 (UTC)

I agree. Thank you for the rewrite. Sgubaldo (talk) 20:47, 25 April 2024 (UTC)

excellent thanks.  Done Johnjbarton (talk) 04:25, 26 April 2024 (UTC)