Young Men Should Prove Theorems, Old Men

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

I Propose To Put Forward An Apology For Mathematics; And I May Be Told That It Needs None, Since There Are Now Few Studies More Generally Recognized, For Good Reasons Or Bad, As Profitable And Praiseworthy.

Chess Problems Are The Hymn-tunes Of Mathematics.

The Mathematician's Patterns, Like The Painter's Or The Poet's, Must Be Beautiful.

It Is Hardly Possible To Maintain Seriously That The Evil Done By Science Is Not Altogether Outweighed By The Good. For Example, If Ten Million Lives Were Lost In Every War, The Net Effect Of Science Would Still Have Been To Increase The Average Length Of Life.