You Wake Me Up Early

The Emphasis On Mathematical Methods Seems To Be Shifted More Towards Combinatorics And Set Theory - And Away From The Algorithm Of Differential Equations Which Dominates Mathematical Physics.

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.

There Is No Point In Being Precise If You Do Not Even Know What You Are Talking About.

Kurt Godel's Achievement In Modern Logic Is Singular And Monumental - Indeed It Is More Than A Monument, It Is A Landmark Which Will Remain Visible Far In Space And Time. ... The Subject Of Logic Has Certainly Completely Changed Its Nature And Possibilities With Godel's Achievement.

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.