You Don't Have To Be Responsible For

If One Has Really Technically Penetrated A Subject, Things That Previously Seemed In Complete Contrast, Might Be Purely Mathematical Transformations Of Each Other.

By And Large It Is Uniformly True In Mathematics That There Is A Time Lapse Between A Mathematical Discovery And The Moment When It Is Useful; And That This Lapse Of Time Can Be Anything From 30 To 100 Years, In Some Cases Even More; And That The Whole System Seems To Function Without Any Direction, Without Any Reference To Usefulness, And Without Any Desire To Do Things Which Are Useful.

You Wake Me Up Early In The Morning To Tell Me I Am Right? Please Wait Until I Am Wrong.

The Most Vitally Characteristic Fact About Mathematics Is, In My Opinion, Its Quite Peculiar Relationship To The Natural Sciences, Or More Generally, To Any Science Which Interprets Experience On A Higher Than Purely Descriptive Level.

You Insist That There Is Something A Machine Cannot Do. If You Tell Me Precisely What It Is A Machine Cannot Do, Then I Can Always Make A Machine Which Will Do Just That.