Asked If He Believes In One G-d,

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

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.

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

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.

I Am Obliged To Interpolate Some Remarks On A Very Difficult Subject: Proof And Its Importance In Mathematics. All Physicists, And A Good Many Quite Respectable Mathematicians, Are Contemptuous About Proof. I Have Heard Professor Eddington, For Example, Maintain That Proof, As Pure Mathematicians Understand It, Is Really Quite Uninteresting And Unimportant, And That No One Who Is Really Certain That He Has Found Something Good Should Waste His Time Looking For Proof.