Mathematics Is The Art Of Giving The

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

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.

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.

Most Striking At First Is The Appearance Of Sudden Illumination, A Manifest Sign Of Long Unconscious Prior Work.

For A Long Time The Objects That Mathematicians Dealt With Were Mostly Ill-defined; One Believed One Knew Them, But One Represented Them With The Senses And Imagination; But One Had But A Rough Picture And Not A Precise Idea On Which Reasoning Could Take Hold.