When I Have Clarified And Exhausted A

The Higher Arithmetic Presents Us With An Inexhaustible Store Of Interesting Truths - Of Truths, Too, Which Are Not Isolated, But Stand In A Close Internal Connection, And Between Which, As Our Knowledge Increases, We Are Continually Discovering New And Sometimes Wholly Unexpected Ties.

In My Opinion Instruction Is Very Purposeless For Such Individuals Who Do No Want Merely To Collect A Mass Of Knowledge, But Are Mainly Interested In Exercising (training) Their Own Powers. One Doesn't Need To Grasp Such A One By The Hand And Lead Him To The Goal, But Only From Time To Time Give Him Suggestions, In Order That He May Reach It Himself In The Shortest Way.

You Have No Idea, How Much Poetry There Is In The Calculation Of A Table Of Logarithms!

Theory Attracts Practice As The Magnet Attracts Iron.

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.