All Great Progress Takes Place

All The Scientist Creates In A Fact Is The Language In Which He Enunciates It. If He Predicts A Fact, He Will Employ This Language, And For All Those Who Can Speak And Understand It, His Prediction Is Free From Ambiguity. Moreover, This Prediction Once Made, It Evidently Does Not Depend Upon Him Whether It Is Fulfilled Or Not.

What Is It Indeed That Gives Us The Feeling Of Elegance In A Solution, In A Demonstration?

All Great Progress Takes Place When Two Sciences Come Together, And When Their Resemblance Proclaims Itself, Despite The Apparent Disparity Of Their Substance.

Mathematicians Do Not Study Objects, But The Relations Between Objects.

Mathematicians Do Not Deal In Objects, But In Relations Between Objects; Thus, They Are Free To Replace Some Objects By Others So Long As The Relations Remain Unchanged. Content To Them Is Irrelevant: They Are Interested In Form Only.