For Any Serious Purpose, Intelligence Is A

... Philosophy Proper Is A Subject, On The One Hand So Hopelessly Obscure, On The Other So Astonishingly Elementary, That There Knowledge Hardly Counts.

All Analysts Spend Half Their Time Hunting Through The Literature For Inequalities Which They Want To Use And Cannot Prove.

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.

A Person’s First Duty, A Young Person’s At Any Rate, Is To Be Ambitious, And The Noblest Ambition Is That Of Leaving Behind Something Of Permanent Value.

Mathematics May, Like Poetry Or Music, "promote And Sustain A Lofty Habit Of Mind."