To Such Idle Talk It Might Further

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.

The Problem Of Distinguishing Prime Numbers From Composite Numbers And Of Resolving The Latter Into Their Prime Factors Is Known To Be One Of The Most Important And Useful In Arithmetic. It Has Engaged The Industry And Wisdom Of Ancient And Modern Geometers To Such An Extent That It Would Be Superfluous To Discuss The Problem At Length. ... Further, The Dignity Of The Science Itself Seems To Require That Every Possible Means Be Explored For The Solution Of A Problem So Elegant And So Celebrated.

We Must Admit With Humility That, While Number Is Purely A Product Of Our Minds, Space Has A Reality Outside Our Minds, So That We Cannot Completely Prescribe Its Properties A Priori.

My Young Friend, I Wish That Science Would Intoxicate You As Much As Our Good Göttingen Beer! Upon Seeing A Student Staggering Down A Street.

Mathematics Is The Queen Of The Sciences.