Thus, Be It Understood, To Demonstrate A

If We Wish To Foresee The Future Of Mathematics, Our Proper Course Is To Study The History And Present Condition Of The Science.

So Is Not Mathematical Analysis Then Not Just A Vain Game Of The Mind? To The Physicist It Can Only Give A Convenient Language; But Isn't That A Mediocre Service, Which After All We Could Have Done Without; And, It Is Not Even To Be Feared That This Artificial Language Be A Veil, Interposed Between Reality And The Physicist's Eye? Far From That, Without This Language Most Of The Initimate Analogies Of Things Would Forever Have Remained Unknown To Us; And We Would Never Have Had Knowledge Of The Internal Harmony Of The World, Which Is, As We Shall See, The Only True Objective Reality.

Hypotheses Are What We Lack The Least.

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?

Deviner Avant De Démontrer! Ai-je Besoin De Rappeler Que C'est Ainsi Que Se Sont Faites Toutes Les Découvertes Importantes.