For Three Days Now This Angel, Almost

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.

That This Subject [of Imaginary Magnitudes] Has Hitherto Been Considered From The Wrong Point Of View And Surrounded By A Mysterious Obscurity, Is To Be Attributed Largely To An Ill-adapted Notation. If, For Example, +1, -1, And The Square Root Of -1 Had Been Called Direct, Inverse And Lateral Units, Instead Of Positive, Negative And Imaginary (or Even Impossible), Such An Obscurity Would Have Been Out Of The Question.

Mathematicians Stand On Each Other's Shoulders.

To The Distracting Occupations Belong Especially My Lecture Courses Which I Am Holding This Winter For The First Time, And Which Now Cost Much More Of My Time Than I Like. Meanwhile I Hope That The Second Time This Expenditure Of Time Will Be Much Less, Otherwise I Would Never Be Able To Reconcile Myself To It, Even Practical (astronomical) Work Must Give Far More Satisfaction Than If One Brings Up To B A Couple More Mediocre Heads Which Otherwise Would Have Stopped At A.

There Have Been Only Three Epoch-making Mathematicians, Archimedes, Newton, And Eisenstein.