The Infinite Is Only A Manner Of

In Mathematics There Are No True Controversies.

Mathematics Is The Queen Of Science, And Arithmetic The Queen Of Mathematics.

I Protest Against The Use Of Infinite Magnitude ..., Which Is Never Permissible In Mathematics.

It Is Not Knowledge, But The Act Of Learning, Not Possession But The Act Of Getting There, Which Grants The Greatest Enjoyment. When I Have Clarified And Exhausted A Subject, Then I Turn Away From It, In Order To Go Into Darkness Again; The Never-satisfied Man Is So Strange If He Has Completed A Structure, Then It Is Not In Order To Dwell In It Peacefully,but In Order To Begin Another. I Imagine The World Conqueror Must Feel Thus, Who, After One Kingdom Is Scarcely Conquered, Stretches Out His Arms For Others.

Mathematics Is Concerned Only With The Enumeration And Comparison Of Relations.