Mathematics Is Concerned Only With The Enumeration

Mathematicians Stand On Each Other's Shoulders.

I Have The Vagary Of Taking A Lively Interest In Mathematical Subjects Only Where I May Anticipate Ingenious Association Of Ideas And Results Recommending Themselves By Elegance Or Generality.

[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.

To Praise It Would Amount To Praising Myself. For The Entire Content Of The Work... Coincides Almost Exactly With My Own Meditations Which Have Occupied My Mind For The Past Thirty Or Thirty-five Years.

If Others Would But Reflect On Mathematical Truths As Deeply And As Continuously As I Have, They Would Make My Discoveries.