Young Man, In Mathematics You Don't Understand

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.

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.

The Sciences Do Not Try To Explain, They Hardly Even Try To Interpret, They Mainly Make Models. By A Model Is Meant A Mathematical Construct Which, With The Addition Of Certain Verbal Interpretations, Describes Observed Phenomena. The Justification Of Such A Mathematical Construct Is Solely And Precisely That It Is Expected To Work-that Is, Correctly To Describe Phenomena From A Reasonably Wide Area.

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.