Young Men Should Prove Theorems, Old Men

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.

Chess Problems Are The Hymn-tunes Of Mathematics.

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.

Good Work Is Not Done By 'humble' Men

A Chess Problem Is Simply An Exercise In Pure Mathematics.