"In crediting Emmy Noether with her share in this transformation of mathematics, most biographers have followed Hermann Weyl's analysis... noting that it falls in three periods, of which the first, lasting until about 1919, was one of "relative dependence," whereas the other two were characterized by the algebraic work for which she is remembered. ...[D]ifficulties arise in drawing a sharp distinction between... "relatively dependent" and the rest, however. One can find examples of originality in her early work, and many instances of dependence in her later period... the exclusion of "dependent" work from consideration makes it impossible to study any process of conceptual change. ...The work that was most influential was done when she was in her forties; The "Noether school" of those who collaborated with her in attempting to make algebra the tool and foundation of all mathematics consists of individuals who knew her only in the last decades of her life. In short, her historic influence in effecting conceptual change is based on the events in the last decade of her life. Her stature as a creative mathematician is better understood if we examine her mathematical career in its entirety, however. Only then can we appreciate to what extent Emmy Noether's work fits Poincare's famous description of mathematical creativity..."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
InventorsPhysicists from GermanyWomen academics from GermanyEducators from Germany19th-century German mathematicians
Original Language: English
Available Languages (1)
Sources
Uta C. Merzbach, "Emmy Noether: Historical Contexts" (1983) Emmy Noether in Bryn Maw ed., , .
https://en.wikiquote.org/wiki/Emmy_Noether
Revision History
No revisions have been submitted for this quote.
Categories
Emmy Noether
Amalie Emmy Noether (March 23, 1882 – April 14, 1935) was a German mathematician known for her landmark contributions to abstract algebra and theoretical physics.
40 quotes on TrueQuotesView all quotes by Emmy Noether →
Related Quotes
"My methods are really methods of working and thinking; this is why they have crept in everywhere anonymously."
"Ich habe das symbolische Rechnen mit Stumpf und Stil verlernt. I have completely forgotten the symbolic calculus."
"If one proves the equality of two numbers a and b by showing first that a \leqq b and then that a \geqq b, it is unfa…"
"A ring of polynomials in any number of variables over a ring of coeffcients that has an identity element and a finite…"
"Es steht alles schon bei Dedekind. [It is already all in Dedekind.]"
"[Noether] taught us to think in terms of simple and general algebraic concepts—homomorphic mappings, groups and rings…"
"Emmy Noether introduced the notion of a representation space— a vector space upon which the elements of the algebra o…"
"The third great epoch in the extension of arithmetic is that of the twentieth century after 1910. To anticipate, the …"
"The work of Galois and his successors showed that the nature, or explicit definition, of the roots of an is reflected…"
"Wissenschaftliche Anregung verdanke ich wesentlich dem persönlichen mathematischen Verkehr in Erlangen und in Götting…"