It Is With Logic That One Proves;

Thus, Be It Understood, To Demonstrate A Theorem, It Is Neither Necessary Nor Even Advantageous To Know What It Means.

Mathematicians Do Not Deal In Objects, But In Relations Between Objects; Thus, They Are Free To Replace Some Objects By Others So Long As The Relations Remain Unchanged. Content To Them Is Irrelevant: They Are Interested In Form Only.

Mathematics Has A Threefold Purpose. It Must Provide An Instrument For The Study Of Nature. But This Is Not All: It Has A Philosophical Purpose, And, I Daresay, An Aesthetic Purpose.

All Great Progress Takes Place When Two Sciences Come Together, And When Their Resemblance Proclaims Itself, Despite The Apparent Disparity Of Their Substance.

Les Faits Ne Parlent Pas. Facts Do Not Speak.