As History Proves Abundantly, Mathematical Achievement, Whatever

In These Days Of Conflict Between Ancient And Modern Studies, There Must Surely Be Something To Be Said For A Study Which Did Not Begin With Pythagoras, And Will Not End With Einstein, But Is The Oldest And The Youngest Of All.

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

The Study Of Mathematics Is, If An Unprofitable, A Perfectly Harmless And Innocent Occupation.

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."

Reductio Ad Absurdum, Which Euclid Loved So Much, Is One Of A Mathematician's Finest Weapons. It Is A Far Finer Gambit Than Any Chess Play: A Chess Player May Offer The Sacrifice Of A Pawn Or Even A Piece, But A Mathematician Offers The Game.