Most People Can Do Nothing At All

A Month's Intelligent Instruction In The Theory Of Numbes Ought To Be Twice As Instructive, Twice As Useful, And At Least 10 Times As Entertaining As The Same Amount Of 'calculus For Engineers'.

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.

Greek Mathematics Is The Real Thing. The Greeks First Spoke A Language Which Modern Mathematicians Can Understand... So Greek Mathematics Is 'permanent', More Permanent Even Than Greek Literature.

Sometimes One Has To Say Difficult Things, But One Ought To Say Them As Simply As One Knows How.

The Mathematician's Patterns, Like The Painter's Or The Poet's Must Be Beautiful; The Ideas, Like The Colours Or The Words Must Fit Together In A Harmonious Way. Beauty Is The First Test: There Is No Permanent Place In The World For Ugly Mathematics.