Mathematical Discoveries, Small Or Great Are Never

Mathematics Is The Art Of Giving The Same Name To Different Things. [as Opposed To The Quotation: Poetry Is The Art Of Giving Different Names To The Same Thing].

A Scientist Worthy Of His Name, About All A Mathematician, Experiences In His Work The Same Impression As An Artist; His Pleasure Is As Great And Of The Same Nature.

It Is By Logic We Prove. It Is By Intuition We Discover.

Mathematical Discoveries, Small Or Great Are Never Born Of Spontaneous Generation.

. . . 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.