Works in ChatGPT, Claude, or Any AI

Add semantic quote search to your AI assistant via MCP. One command setup.

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.

Share Your Favorite Quotes

Know a quote that's missing? Help grow our collection.

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.