It Is Not Worth An Intelligent Man's

Reductio Ad Absurdum, Which Euclid Loved So Much, Is One Of A Mathematician's Finest Weapons. It Is A Far Finer Gambit Than Any Chess Play: A Chess Player May Offer The Sacrifice Of A Pawn Or Even A Piece, But A Mathematician Offers The Game.

I Am Interested In Mathematics Only As A Creative Art.

If Intellectual Curiosity, Professional Pride, And Ambition Are The Dominant Incentives To Research, Then Assuredly No One Has A Fairer Chance Of Gratifying Them Than A Mathematician.

Most People Have Some Appreciation Of Mathematics, Just As Most People Can Enjoy A Pleasant Tune; And There Are Probably More People Really Interested In Mathematics Than In Music. Appearances Suggest The Contrary, But There Are Easy Explanations. Music Can Be Used To Stimulate Mass Emotion, While Mathematics Cannot; And Musical Incapacity Is Recognized (no Doubt Rightly) As Mildly Discreditable, Whereas Most People Are So Frightened Of The Name Of Mathematics That They Are Ready, Quite Unaffectedly, To Exaggerate Their Own Mathematical Stupidity

Beauty Is The First Test: There Is No Permanent Place In The World For Ugly Mathematics.