In Mathematics There Are No True Controversies.

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.

You Know That I Write Slowly. This Is Chiefly Because I Am Never Satisfied Until I Have Said As Much As Possible In A Few Words, And Writing Briefly Takes Far More Time Than Writing At Length.

The Problem Of Distinguishing Prime Numbers From Composite Numbers And Of Resolving The Latter Into Their Prime Factors Is Known To Be One Of The Most Important And Useful In Arithmetic. It Has Engaged The Industry And Wisdom Of Ancient And Modern Geometers To Such An Extent That It Would Be Superfluous To Discuss The Problem At Length. ... Further, The Dignity Of The Science Itself Seems To Require That Every Possible Means Be Explored For The Solution Of A Problem So Elegant And So Celebrated.

Further, The Dignity Of The Science Itself Seems To Require That Every Possible Means Be Explored For The Solution Of A Problem So Elegant And So Celebrated.

The Total Number Of Dirichlet's Publications Is Not Large: Jewels Are Not Weighed On A Grocery Scale.