It Is By Logic That We Prove,

Mathematical Discoveries, Small Or Great Are Never Born Of Spontaneous Generation They Always Presuppose A Soil Seeded With Preliminary Knowledge And Well Prepared By Labour, Both Conscious And Subconscious.

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.

Every Phenomenon, However Trifling It Be, Has A Cause, And A Mind Infinitely Powerful, And Infinitely Well-informed Concerning The Laws Of Nature Could Have Foreseen It From The Beginning Of The Ages. If A Being With Such A Mind Existed, We Could Play No Game Of Chance With Him; We Should Always Lose.

. . . 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.