A Chess Problem Is Simply An Exercise

Bombs Are Probably More Merciful Than Bayonets

If Intellectual Curiosity, Professional Pride, And Ambition Are The Dominant Incentives To Research, Then Assuredly No One Has A Fairer Chance Of Gratifying Them Than A Mathematician.

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.

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.

I Am Obliged To Interpolate Some Remarks On A Very Difficult Subject: Proof And Its Importance In Mathematics. All Physicists, And A Good Many Quite Respectable Mathematicians, Are Contemptuous About Proof. I Have Heard Professor Eddington, For Example, Maintain That Proof, As Pure Mathematicians Understand It, Is Really Quite Uninteresting And Unimportant, And That No One Who Is Really Certain That He Has Found Something Good Should Waste His Time Looking For Proof.