We Must Admit With Humility That, While

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

I Have Had My Results For A Long Time: But I Do Not Yet Know How I Am To Arrive At Them.

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.

It Is Always Noteworthy That All Those Who Seriously Study This Science [the Theory Of Numbers] Conceive A Sort Of Passion For It.

Theory Attracts Practice As The Magnet Attracts Iron.