For Any Serious Purpose, Intelligence Is A

Real Mathematics Must Be Justified As Art If It Can Be Justified At All.

A Mathematician, Like A Painter Or Poet, Is A Maker Of Patterns. If His Patterns Are More Permanent Than Theirs, It Is Because They Are Made With Ideas.

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.

Young Men Should Prove Theorems, Old Men Should Write Books.

I Count Maxwell And Einstein, Eddington And Dirac, Among "real" Mathematicians. The Great Modern Achievements Of Applied Mathematics Have Been In Relativity And Quantum Mechanics, And These Subjects Are At Present At Any Rate, Almost As "useless" As The Theory Of Numbers.