Emmy Noether Quotes

If one proves the equality of two numbers <math>a</math> and <math>b</math> by showing first that <math>a \leqq b</math> and then that <math>a \geqq b</math>, it is unfair; one should instead show that they are really equal by disclosing the inner ground for their equality.

Es steht alles schon bei Dedekind.
[It is already all in Dedekind.]

A ring of polynomials in any number of variables over a ring of coeffcients that has an identity element and a finite basis, itself has a finite basis.

Ich habe das symbolische Rechnen mit Stumpf und Stil verlernt.
I have completely forgotten the symbolic calculus.

Habilitation curriculum vitae (1919) submitted to the Göttingen Faculty, as quoted by , "Emmy Noether and Hermann Weyl" (Jan. 28, 2008) extended manuscript of a talk presented at the Hermann Weyl conference in Bielefeld, September 10, 2006.

As quoted by , "On the Sources of My Book Modern Algebra" (1975) Historia Mathematica Vol. 2, pp. 31-40.

My methods are really methods of working and thinking; this is why they have crept in everywhere anonymously.

Wissenschaftliche Anregung verdanke ich wesentlich dem persönlichen mathematischen Verkehr in Erlangen und in Göttingen. Vor allem bin ich Herrn E. Fischer zu Dank verpflichtet, der mir den entscheidenden Anstoẞ zu der Beschäftigung mit abstrakter Algebra in arithmetischer Auffassung gab, was für all meine späteren Arbeiten bestimmend blieb.
I obtained scientific guidance and stimulation mainly through personal mathematical contacts in Erlangen and in Göttingen. Above all I am indebted to Mr. E. Fischer from whom I received the decisive impulse to study abstract algebra from an arithmetical viewpoint, and this remained the governing idea for all my later work.

Letter to (April 14, 1932) as quoted by , "Emmy Noether and Hermann Weyl" (Jan. 28, 2008) extended manuscript of a talk presented at the Hermann Weyl conference in Bielefeld, September 10, 2006.