Begin With The Simplest Examples.

No One Shall Expel Us From The Paradise Which Cantor Has Created For Us. Expressing The Importance Of Cantor's Set Theory In The Development Of Mathematics.

Mathematics Is A Presuppositionless Science. To Found It I Do Not Need God, As Does Kronecker, Or The Assumption Of A Special Faculty Of Our Understanding Attuned To The Principle Of Mathematical Induction, As Does Poincaré, Or The Primal Intuition Of Brouwer, Or, Finally, As Do Russell And Whitehead, Axioms Of Infinity, Reducibility, Or Completeness, Which In Fact Are Actual, Contentual Assumptions That Cannot Be Compensated For By Consistency Proofs.

One Hears A Lot Of Talk About The Hostility Between Scientists And Engineers. I Don't Believe In Any Such Thing. In Fact I Am Quite Certain It Is Untrue... There Cannot Possibly Be Anything In It Because Neither Side Has Anything To Do With The Other.

[on Cantor's Work:] The Finest Product Of Mathematical Genius And One Of The Supreme Achievements Of Purely Intellectual Human Activity.

Indignant Reply To The Blatent Sex Discrimination Expressed In A Colleague's Opposition When Hilbert Proposed Appointing Emmy Noether As The First Woman Professor At Their University.