Mathematics Is Concerned Only With The Enumeration

In Mathematics There Are No True Controversies.

I Am Giving This Winter Two Courses Of Lectures To Three Students, Of Which One Is Only Moderately Prepared, The Other Less Than Moderately, And The Third Lacks Both Preparation And Ability. Such Are The Onera Of A Mathematical Profession.

No Contradictions Will Arise As Long As Finite Man Does Not Mistake The Infinite For Something Fixed, As Long As He Is Not Led By An Acquired Habit Of Mind To Regard The Infinite As Something Bounded.

A Great Part Of Its Theories Derives An Additional Charm From The Peculiarity That Important Propositions, With The Impress Of Simplicity On Them, Are Often Easily Discovered By Induction, And Yet Are Of So Profound A Character That We Cannot Find The Demonstrations Till After Many Vain Attempts; And Even Then, When We Do Succeed, It Is Often By Some Tedious And Artificial Process, While The Simple Methods May Long Remain Concealed.

...as Our Friend Zach Has Often Noted, In Our Days Those Who Do The Best For Astronomy Are Not The Salaried University Professors, But So-called Dillettanti, Physicians, Jurists, And So Forth.lamenting The Fragmentary Time Left To A Professor Has Remaining After Fulfilling His Teaching Duties.