But For Harmony Beautiful To

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

Need We Add That Mathematicians Themselves Are Not Infallible?

Ideas Rose In Clouds; I Felt Them Collide Until Pairs Interlocked, So To Speak, Making A Stable Combination.

Mathematical Discoveries, Small Or Great Are Never Born Of Spontaneous Generation.

For A Long Time The Objects That Mathematicians Dealt With Were Mostly Ill-defined; One Believed One Knew Them, But One Represented Them With The Senses And Imagination; But One Had But A Rough Picture And Not A Precise Idea On Which Reasoning Could Take Hold.