In The Old Days When

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.

All That We Can Hope From These Inspirations, Which Are The Fruits Of Unconscious Work, Is To Obtain Points Of Departure For Such Calculations. As For The Calculations Themselves, They Must Be Made In The Second Period Of Conscious Work Which Follows The Inspiration, And In Which The Results Of The Inspiration Are Verified And The Consequences Deduced.‎

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.

How Is Error Possible In Mathematics?

If One Looks At The Different Problems Of The Integral Calculus Which Arise Naturally When One Wishes To Go Deep Into The Different Parts Of Physics, It Is Impossible Not To Be Struck By The Analogies Existing.