Computers Are Like Humans - They Do

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.

I Would Like To Make A Confession Which May Seem Immoral: I Do Not Believe Absolutely In Hilbert Space Any More.

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 Total Subject Of Mathematics Is Clearly Too Broad For Any Of Us. I Do Not Think That Any Mathematician Since Gauss Has Covered It Uniformly And Fully; Even Hilbert Did Not And All Of Us Are Of Considerably Lesser Width Quite Apart From The Question Of Depth Than Hilbert.

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.