Further, The Dignity Of The Science Itself

I Have The Vagary Of Taking A Lively Interest In Mathematical Subjects Only Where I May Anticipate Ingenious Association Of Ideas And Results Recommending Themselves By Elegance Or Generality.

If Others Would But Reflect On Mathematical Truths As Deeply And As Continuously As I Have, They Would Make My Discoveries.

There Are Problems To Whose Solution I Would Attach An Infinitely Greater Importance Than To Those Of Mathematics, For Example Touching Ethics, Or Our Relation To God, Or Concerning Our Destiny And Our Future; But Their Solution Lies Wholly Beyond Us And Completely Outside The Province Of Science.

Mathematics Is The Queen Of Science, And Arithmetic The Queen Of Mathematics.

To Such Idle Talk It Might Further Be Added: That Whenever A Certain Exclusive Occupation Is Coupled With Specific Shortcomings, It Is Likewise Almost Certainly Divorced From Certain Other Shortcomings.