[i Was Advised] To Read Jordan's 'cours

A Chess Problem Is Simply An Exercise In Pure Mathematics.

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.

Real Mathematics Must Be Justified As Art If It Can Be Justified At All.

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.

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.