Need We Add That Mathematicians Themselves Are

A Reality Completely Independent Of The Spirit That Conceives It, Sees It, Or Feels It, Is An Impossibility. A World So External As That, Even If It Existed, Would Be Forever Inaccessible To Us.

Guessing Before Proving! Need I Remind You That It Is So That All Important Discoveries Have Been Made?

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?

It Is By Logic That We Prove, But By Intuition That We Discover. To Know How To Criticize Is Good, To Know How To Create Is Better.

What Is It Indeed That Gives Us The Feeling Of Elegance In A Solution, In A Demonstration?