A Chess Problem Is Simply

Mathematics Is Not A Contemplative But A Creative Subject.

No Discovery Of Mine Has Made, Or Is Likely To Make, Directly Or Indirectly, For Good Or Ill, The Least Difference To The Amenity Of The World.

Cricket Is The Only Game Where You Are Playing Against Eleven Of The Other Side And Ten Of Your Own.

317 Is A Prime, Not Because We Think So, Or Because Our Minds Are Shaped In One Way Rather Than Another, But Because It Is So, Because Mathematical Reality Is Built That Way.

No Mathematician Should Ever Allow Himself To Forget That Mathematics, More Than Any Other Art Or Science, Is A Young Man's Game