Geometry Is Not True, It

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

Thought Must Never Submit, Neither To A Dogma, Nor To A Party, Nor To A Passion, Nor To An Interest, Nor To A Preconceived Idea, Nor To Whatever It May Be, Save To The Facts Themselves, Because, For Thought, Submission Would Mean Ceasing To Be.

Guessing Before Proving! Need I Remind You That It Is So That All Important Discoveries Have Been Made?

Need We Add That Mathematicians Themselves Are Not Infallible?

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.