Chess Problems Are The Hymn-tunes Of Mathematics.

Most People Have Some Appreciation Of Mathematics, Just As Most People Can Enjoy A Pleasant Tune; And There Are Probably More People Really Interested In Mathematics Than In Music. Appearances Suggest The Contrary, But There Are Easy Explanations. Music Can Be Used To Stimulate Mass Emotion, While Mathematics Cannot; And Musical Incapacity Is Recognized (no Doubt Rightly) As Mildly Discreditable, Whereas Most People Are So Frightened Of The Name Of Mathematics That They Are Ready, Quite Unaffectedly, To Exaggerate Their Own Mathematical Stupidity

As History Proves Abundantly, Mathematical Achievement, Whatever Its Intrinsic Worth, Is The Most Enduring Of All.

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

Bradman Is A Whole Class Above Any Batsman Who Has Ever Lived: If Archimedes, Newton And Gauss Remain In The Hobbs Class, I Have To Admit The Possibility Of A Class Above Them, Which I Find Difficult To Imagine. They Had Better Be Moved From Now On Into The Bradman Class.

The "seriousness" Of A Mathematical Theorem Lies, Not In Its Practical Consequences, Which Are Usually Negligible, But In The Significance Of The Mathematical Ideas Which It Connects.