The Enchanting Charms Of This Sublime Science

There Are Problems To Whose Solution I Would Attach An Infinitely Greater Importance Than To Those Of Mathematics, For Example Touching Ethics, Or Our Relation To God, Or Concerning Our Destiny And Our Future; But Their Solution Lies Wholly Beyond Us And Completely Outside The Province Of Science.

[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.

Life Stands Before Me Like An Eternal Spring With New And Brilliant Clothes.

We Must Admit With Humility That, While Number Is Purely A Product Of Our Minds, Space Has A Reality Outside Our Minds, So That We Cannot Completely Prescribe Its Properties A Priori.

Sin2 φ Is Odious To Me, Even Though Laplace Made Use Of It; Should It Be Feared That Sin2 φ Might Become Ambiguous, Which Would Perhaps Never Occur, Or At Most Very Rarely When Speaking Of Sin(φ2), Well Then, Let Us Write (sin φ)2, But Not Sin2 φ, Which By Analogy Should Signify Sin (sin φ)