Mathematicians Are Born, Not Made.

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.

It May Happen That Small Differences In The Initial Conditions Produce Very Great Ones In The Final Phenomena. A Small Error In The Former Will Produce An Enormous Error In The Later. Prediction Becomes Impossible, And We Have The Fortuitous Phenomena.

It Is The Simple Hypotheses Of Which One Must Be Most Wary; Because These Are The Ones That Have The Most Chances Of Passing Unnoticed.

. . . By Natural Selection Our Mind Has Adapted Itself To The Conditions Of The External World. It Has Adopted The Geometry Most Advantageous To The Species Or, In Other Words, The Most Convenient. Geometry Is Not True, It Is Advantageous.

But For Harmony Beautiful To Contemplate, Science Would Not Be Worth Following.