Mathematics Is Concerned Only With The Enumeration

Less Depends Upon The Choice Of Words Than Upon This, That Their Introduction Shall Be Justified By Pregnant Theorems.

We Must Admit With Humility That, While Number Is Purely A Product Of Our Minds, Space Has A Reality Outside Our Minds, So That We Cannot Completely Prescribe Its Properties A Priori.

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.

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

Mathematicians Stand On Each Other's Shoulders.