Mathematics May Be Compared To

It Does Not Matter How Many Tumbles You Have In This Life, So Long As You Do Not Get Dirty When You Tumble; It Is Only The People Who Have To Stop To Be Washed And Made Clean, Who Must Necessarily Lose The Race. And I Can Assure You That There Is The Greatest Practical Benefit In Making A Few Failures Early In Life. You Learn That Which Is Of Inestimable Importance

Next To Being Right In This World, The Best Of All Things Is To Be Clearly And Definitely Wrong, Because You Will Come Out Somewhere. If You Go Buzzing About Between Right And Wrong, Vibrating And Fluctuating, You Come Out Nowhere; But If You Are Absolutely And Thoroughly And Persistently Wrong, You Must, Some Of These Days, Have The Extreme Good Fortune Of Knocking Your Head Against A Fact, And That Sets You All Straight Again.

Follow Humbly Wherever And To Whatever Abyss Nature Leads, Or You Shall Learn Nothing.

Nothing Great In Science Has Ever Been Done By Men, Whatever Their Powers, In Whom The Divine Afflatus Of The Truth-seeker Was Wanting.

There Is Assuredly No More Effectual Method Of Clearing Up One's Own Mind On Any Subject Than By Talking It Over, So To Speak, With Men Of Real Power And Grasp, Who Have Considered It From A Totally Different Point Of View.