Young Man, In Mathematics You Don't Understand

If People Do Not Believe That Mathematics Is Simple, It Is Only Because They Do Not Realize How Complicated Life Is.

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.

It Is Just As Foolish To Complain That People Are Selfish And Treacherous As It Is To Complain That The Magnetic Field Does Not Increase Unless The Electric Field Has A Curl. Both Are Laws Of Nature.

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.

Science, As Well As Technology, Will In The Near And In The Farther Future Increasingly Turn From Problems Of Intensity, Substance, And Energy, To Problems Of Structure, Organization, Information, And Control.