It Is Not Knowledge, But The Act

By Explanation The Scientist Understands Nothing Except The Reduction To The Least And Simplest Basic Laws Possible, Beyond Which He Cannot Go, But Must Plainly Demand Them; From Them However He Deduces The Phenomena Absolutely Completely As Necessary.

The Higher Arithmetic Presents Us With An Inexhaustible Store Of Interesting Truths - Of Truths, Too, Which Are Not Isolated, But Stand In A Close Internal Connection, And Between Which, As Our Knowledge Increases, We Are Continually Discovering New And Sometimes Wholly Unexpected Ties.

Mathematics Is The Queen Of Sciences And Number Theory Is The Queen Of Mathematics. She Often Condescends To Render Service To Astronomy And Other Natural Sciences, But In All Relations She Is Entitled To The First Rank.

[on Sophie Germain] When A Person Of The Sex Which, According To Our Customs And Prejudices, Must Encounter Infinitely More Difficulties Than Men... Succeeds Nevertheless In Surmounting These Obstacles And Penetrating The Most Obscure Parts Of [number Theory], Then Without Doubt She Must Have The Noblest Courage, Quite Extraordinary Talents And Superior Genius.

Theory Attracts Practice As The Magnet Attracts Iron.