A Chess Problem Is Simply An Exercise

[regarding Mathematics,] There Are Now Few Studies More Generally Recognized, For Good Reasons Or Bad, As Profitable And Praiseworthy. This May Be True; Indeed It Is Probable, Since The Sensational Triumphs Of Einstein, That Stellar Astronomy And Atomic Physics Are The Only Sciences Which Stand Higher In Popular Estimation.

No One Should Ever Be Bored. … One Can Be Horrified, Or Disgusted, But One Can’t Be Bored.

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

In [great Mathematics] There Is A Very High Degree Of Unexpectedness, Combined With Inevitability And Economy.

I Believe That Mathematical Reality Lies Outside Us, That Our Function Is To Discover Or Observe It, And That The Theorems Which We Prove, And Which We Describe Grandiloquently As Our "creations," Are Simply The Notes Of Our Observations.