As History Proves Abundantly, Mathematical Achievement, Whatever

A Chess Problem Is Simply An Exercise In Pure Mathematics.

The Fact Is There Are Few More Popular Subjects Than Mathematics. Most People Have Some Appreciation Of Mathematics, Just As Most People Can Enjoy A Pleasant Tune.

Exposition, Criticism, Appreciation, Is Work For Second-rate Minds.

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.

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.