Chess Problems Are The Hymn-tunes Of Mathematics.

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

A Science Is Said To Be Useful If Its Development Tends To Accentuate The Existing Inequalities In The Distribution Of Wealth, Or More Directly Promotes The Destruction Of Human Life.

Mathematics Is Not A Contemplative But A Creative Subject; No One Can Draw Much Consolation From It When He Has Lost The Power Or The Desire To Create; And That Is Apt To Happen To A Mathematician Rather Soon. It Is A Pity, But In That Case He Does Not Matter A Great Deal Anyhow, And It Would Be Silly To Bother About Him.

What We Do May Be Small, But It Has A Certain Character Of Permanence; And To Have Produced Anything Of The Slightest Permanent Interest, Whether It Be A Copy Of Verses Or A Geometrical Theorem, Is To Have Done Something Utterly Beyond The Powers Of The Vast Majority Of Men.

Young Men Should Prove Theorems, Old Men Should Write Books.