Analyse Data Just So Far As To

The Mind Uses Its Faculty For Creativity Only When Experience Forces It To Do So.

Tolstoi Explains Somewhere In His Writings Why, In His Opinion, “science For Science's Sake” Is An Absurd Conception. We Cannot Know All The Facts, Since They Are Practically Infinite In Number. We Must Make A Selection. Is It Not Better To Be Guided By Utility, By Our Practical, And More Especially Our Moral, Necessities?

In One Word, To Draw The Rule From Experience, One Must Generalize; This Is A Necessity That Imposes Itself On The Most Circumspect Observer.

Thus, Be It Understood, To Demonstrate A Theorem, It Is Neither Necessary Nor Even Advantageous To Know What It Means. The Geometer Might Be Replaced By The "logic Piano" Imagined By Stanley Jevons; Or, If You Choose, A Machine Might Be Imagined Where The Assumptions Were Put In At One End, While The Theorems Came Out At The Other, Like The Legendary Chicago Machine Where The Pigs Go In Alive And Come Out Transformed Into Hams And Sausages. No More Than These Machines Need The Mathematician Know What He Does.

...the Feeling Of Mathematical Beauty, Of The Harmony Of Numbers And Of Forms, Of Geometric Elegance. It Is A Genuinely Aesthetic Feeling, Which All Mathematicians Know