The Mathematician's Patterns, Like The Painter's Or

I Have Never Done Anything 'useful'. 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... Judged By All Practical Standards, The Value Of My Mathematical Life Is Nil; And Outside Mathematics It Is Trivial Anyhow. I Have Just One Chance Of Escaping A Verdict Of Complete Triviality, That I May Be Judged To Have Created Something Worth Creating. And That I Have Created Something Is Undeniable: The Question Is About Its Value.

It Is Rather Astonishing How Little Practical Value Scientific Knowledge Has For Ordinary Men, How Dull And Commonplace Such Of It As Has Value Is, And How Its Value Seems Almost To Vary Inversely To Its Reputed Utility.

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.

A Month's Intelligent Instruction In The Theory Of Numbes Ought To Be Twice As Instructive, Twice As Useful, And At Least 10 Times As Entertaining As The Same Amount Of 'calculus For Engineers'.