Madam, I Have Come From A Country

Thus You See, Most Noble Sir, How This Type Of Solution To The Königsberg Bridge Problem Bears Little Relationship To Mathematics, And I Do Not Understand Why You Expect A Mathematician To Produce It, Rather Than Anyone Else, For The Solution Is Based On Reason Alone, And Its Discovery Does Not Depend On Any Mathematical Principle.

Mathematicians Have Tried In Vain To This Day To Discover Some Order In The Sequence Of Prime Numbers, And We Have Reason To Believe That It Is A Mystery Into Which The Human Mind Will Never Penetrate.

After Exponential Quantities The Circular Functions, Sine And Cosine, Should Be Considered Because They Arise When Imaginary Quantities Are Involved In The Exponential.

Nothing Takes Place In The World Whose Meaning Is Not That Of Some Maximum Or Minimum.

Notable Enough, However, Are The Controversies Over The Series 1 - 1 + 1 - 1 + 1 - ... Whose Sum Was Given By Leibniz As 1/2, Although Others Disagree. ... Understanding Of This Question Is To Be Sought In The Word "sum"; This Idea, If Thus Conceived - Namely, The Sum Of A Series Is Said To Be That Quantity To Which It Is Brought Closer As More Terms Of The Series Are Taken - Has Relevance Only For Convergent Series, And We Should In General Give Up The Idea Of Sum For Divergent Series.