Geometry Is The Art Of Correct Reasoning

It May Be Appropriate To Quote A Statement Of Poincare, Who Said (partly In Jest No Doubt) That There Must Be Something Mysterious About The Normal Law Since Mathematicians Think It Is A Law Of Nature Whereas Physicists Are Convinced That It Is A Mathematical Theorem.

If One Looks At The Different Problems Of The Integral Calculus Which Arise Naturally When One Wishes To Go Deep Into The Different Parts Of Physics, It Is Impossible Not To Be Struck By The Analogies Existing.

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

It Is The Harmony Of The Diverse Parts, Their Symmetry, Their Happy Balance; In A Word It Is All That Introduces Order, All That Gives Unity, That Permits Us To See Clearly And To Comprehend At Once Both The Ensemble And The Details.

Ideas Rose In Clouds; I Felt Them Collide Until Pairs Interlocked, So To Speak, Making A Stable Combination.