Experiment Is The Sole Source Of Truth.

How Is Error Possible In Mathematics?

The Advance Of Science Is Not Comparable To The Changes Of A City, Where Old Edifices Are Pitilessly Torn Down To Give Place To New, But To The Continuous Evolution Of Zoologic Types Which Develop Ceaselessly And End By Becoming Unrecognisable To The Common Sight, But Where An Expert Eye Finds Always Traces Of The Prior Work Of The Centuries Past. One Must Not Think Then That The Old-fashioned Theories Have Been Sterile And Vain.

Talk With M. Hermite. He Never Evokes A Concrete Image, Yet You Soon Perceive That The More Abstract Entities Are To Him Like Living Creatures.

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

Mathematicians Do Not Deal In Objects, But In Relations Between Objects; Thus, They Are Free To Replace Some Objects By Others So Long As The Relations Remain Unchanged. Content To Them Is Irrelevant: They Are Interested In Form Only.