Mathematics Is Not A Contemplative

No Discovery Of Mine Has Made, Or Is Likely To Make, Directly Or Indirectly, For Good Or Ill, The Least Difference To The Amenity Of The World.

I Remember Once Going To See Him [ramanujan] When He Was Lying Ill At Putney. I Had Ridden In Taxi-cab No. 1729, And Remarked That The Number Seemed To Me Rather A Dull One, And That I Hoped It Was Not An Unfavourable Omen. "no," He Replied, "it Is A Very Interesting Number; It Is The Smallest Number Expressible As A Sum Of Two Cubes In Two Different Ways."

Chess Problems Are The Hymn-tunes Of Mathematics.

I Was At My Best At A Little Past Forty, When I Was A Professor At Oxford.

Mathematics May, Like Poetry Or Music, "promote And Sustain A Lofty Habit Of Mind."