All Great Progress Takes Place When Two

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?

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.

This Harmony That Human Intelligence Believes It Discovers In Nature - Does It Exist Apart From That Intelligence? No, Without Doubt, A Reality Completely Independent Of The Spirit Which Conceives It, Sees It Or Feels It, Is An Impossibility. A World So Exterior As That, Even If It Existed, Would Be Forever Inaccessible To Us. But What We Call Objective Reality Is, In The Last Analysis, That Which Is Common To Several Thinking Beings, And Could Be Common To All; This Common Part, We Will See, Can Be Nothing But The Harmony Expressed By Mathematical Laws.

Why Is It That Showers And Even Storms Seem To Come By Chance, So That Many People Think It Quite Natural To Pray For Rain Or Fine Weather, Though They Would Consider It Ridiculous To Ask For An Eclipse By Prayer.

What Is A Good Definition? For The Philosopher Or The Scientist, It Is A Definition Which Applies To All The Objects To Be Defined, And Applies Only To Them; It Is That Which Satisfies The Rules Of Logic. But In Education It Is Not That; It Is One That Can Be Understood By The Pupils.