It Is By Logic That

The Mind Uses Its Faculty For Creativity Only When Experience Forces It To Do So.

One Would Have To Have Completely Forgotten The History Of Science So As To Not Remember That The Desire To Know Nature Has Had The Most Constant And The Happiest Influence On The Development Of Mathematics.

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.‎

Geometry Is Not True, It Is Advantageous.

It Is The Harmony Of The Diverse Parts, Their Symmetry, Their Happy Balance; In A Word It Is All That Introduces Order, All That Gives Unity, That Permits Us To See Clearly And To Comprehend At Once Both The Ensemble And The Details.