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If A Man Is In Any Sense A Real Mathematician, Then It Is A Hundred To One That His Mathematics Will Be Far Better Than Anything Else He Can Do, And That He Would Be Silly If He Surrendered Any Decent Opportunity Of Exercising His One Talent In Order To Do Undistinguished Work In Other Fields. Such A Sacrifice Could Be Justified Only By Economic Necessity Of Age.

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

The Fact Is There Are Few More Popular Subjects Than Mathematics. Most People Have Some Appreciation Of Mathematics, Just As Most People Can Enjoy A Pleasant Tune.

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.

A Mathematician, Like A Painter Or A Poet, Is A Maker Of Patterns.