...the Feeling Of Mathematical Beauty, Of The

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.

The Mathematical Facts Worthy Of Being Studied Are Those Which, By Their Analogy With Other Facts, Are Capable Of Leading Us To The Knowledge Of A Physical Law. They Reveal The Kinship Between Other Facts, Long Known, But Wrongly Believed To Be Strangers To One Another.

The Scientist Does Not Study Nature Because It Is Useful; He Studies It Because He Delights In It, And He Delights In It Because It Is Beautiful.

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.

One Geometry Cannot Be More True Than Another; It Can Only Be More Convenient.