A Chess Problem Is Simply

I Wrote A Great Deal During The Next Ten [early] Years,but Very Little Of Any Importance; There Are Not More Than Four Or Five Papers Which I Can Still Remember With Some Satisfaction.

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.

No One Has Yet Discovered Any Warlike Purpose To Be Served By The Theory Of Numbers Or Relativity, And It Seems Unlikely That Anyone Will Do So For Many Years.

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

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.