Mathematics Is The Queen Of The Sciences.

You Have No Idea, How Much Poetry There Is In The Calculation Of A Table Of Logarithms!

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

Sophie Germain Proved To The World That Even A Woman Can Accomplish Something In The Most Rigorous And Abstract Of Sciences And For That Reason Would Well Have Deserved An Honorary Degree.

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.

I Am Coming More And More To The Conviction That The Necessity Of Our Geometry Cannot Be Demonstrated, At Least Neither By, Nor For, The Human Intellect. . . Geometry Should Be Ranked, Not With Arithmetic, Which Is Purely Aprioristic, But With Mechanics.