Mathematicians Stand On Each Other's Shoulders.

Theory Attracts Practice As The Magnet Attracts Iron.

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

Mathematical Discoveries, Like Springtime Violets In The Woods, Have Their Season Which No Human Can Hasten Or Retard.

Mathematics Is The Queen Of Sciences And Number Theory Is The Queen Of Mathematics. She Often Condescends To Render Service To Astronomy And Other Natural Sciences, But In All Relations She Is Entitled To The First Rank.

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.