No Other Question Has Ever

Begin With The Simplest Examples.

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.

Mathematics Knows No Races Or Geographic Boundaries; For Mathematics, The Cultural World Is One Country.

An Old French Mathematician Said: "a Mathematical Theory Is Not To Be Considered Complete Until You Have Made It So Clear That You Can Explain It To The First Man Whom You Meet On The Street." This Clearness And Ease Of Comprehension, Here Insisted On For A Mathematical Theory, I Should Still More Demand For A Mathematical Problem If It Is To Be Perfect; For What Is Clear And Easily Comprehended Attracts, The Complicated Repels Us.

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.