Chess Problems Are The Hymn-tunes Of Mathematics.

The Mathematician's Patterns, Like The Painter's Or The Poet's, Must Be Beautiful.

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.

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

No One Should Ever Be Bored. … One Can Be Horrified, Or Disgusted, But One Can’t Be Bored.

A Science Or An Art May Be Said To Be "useful" If Its Development Increases, Even Indirectly, The Material Well-being And Comfort Of Men, It Promotes Happiness, Using That Word In A Crude And Commonplace Way.