By Explanation The Scientist Understands Nothing Except

In My Opinion Instruction Is Very Purposeless For Such Individuals Who Do No Want Merely To Collect A Mass Of Knowledge, But Are Mainly Interested In Exercising (training) Their Own Powers. One Doesn't Need To Grasp Such A One By The Hand And Lead Him To The Goal, But Only From Time To Time Give Him Suggestions, In Order That He May Reach It Himself In The Shortest Way.

When A Philosopher Says Something That Is True Then It Is Trivial. When He Says Something That Is Not Trivial Then It Is False.

In The Last Two Months I Have Been Very Busy With My Own Mathematical Speculations, Which Have Cost Me Much Time, Without My Having Reached My Original Goal. Again And Again I Was Enticed By The Frequently Interesting Prospects From One Direction To The Other, Sometimes Even By Will-o'-the-wisps, As Is Not Rare In Mathematic Speculations.

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.

...as Our Friend Zach Has Often Noted, In Our Days Those Who Do The Best For Astronomy Are Not The Salaried University Professors, But So-called Dillettanti, Physicians, Jurists, And So Forth.lamenting The Fragmentary Time Left To A Professor Has Remaining After Fulfilling His Teaching Duties.