The Art Of Doing Mathematics Consists In

One Must Be Able To Say At All Times--instead Of Points, Straight Lines, And Planes--tables, Chairs, And Beer Mugs

The Arithmetical Symbols Are Written Diagrams And The Geometrical Figures Are Graphic Formulas.

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.

Sometimes It Happens That A Man's Circle Of Horizon Becomes Smaller And Smaller, And As The Radius Approaches Zero It Concentrates On One Point. And Then That Becomes His Point Of View.

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.