If One Looks At The Different Problems

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

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.‎

It Is By Logic That We Prove, But By Intuition That We Discover. To Know How To Criticize Is Good, To Know How To Create Is Better.

Astronomy Is Useful Because It Raises Us Above Ourselves; It Is Useful Because It Is Grand; .... It Shows Us How Small Is Man's Body, How Great His Mind, Since His Intelligence Can Embrace The Whole Of This Dazzling Immensity, Where His Body Is Only An Obscure Point, And Enjoy Its Silent Harmony.

How Is It That There Are So Many Minds That Are Incapable Of Understanding Mathematics? ... The Skeleton Of Our Understanding, ... And Actually They Are The Majority. ... We Have Here A Problem That Is Not Easy Of Solution, But Yet Must Engage The Attention Of All Who Wish To Devote Themselves To Education.