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I Have A True Aversion To Teaching. The Perennial Business Of A Professor Of Mathematics Is Only To Teach The Abc Of His Science; Most Of The Few Pupils Who Go A Step Further, And Usually To Keep The Metaphor, Remain In The Process Of Gathering Information, Become Only Halbwisser [one Who Has Superficial Knowledge Of The Subject], For The Rarer Talents Do Not Want To Have Themselves Educated By Lecture Courses, But Train Themselves. And With This Thankless Work The Professor Loses His Precious Time.

Life Stands Before Me Like An Eternal Spring With New And Brilliant Clothes.

Arc, Amplitude, And Curvature Sustain A Similar Relation To Each Other As Time, Motion, And Velocity, Or As Volume, Mass, And Density.

I Have The Vagary Of Taking A Lively Interest In Mathematical Subjects Only Where I May Anticipate Ingenious Association Of Ideas And Results Recommending Themselves By Elegance Or Generality.

If Others Would But Reflect On Mathematical Truths As Deeply And As Continuously As I Have, They Would Make My Discoveries.