Arc, Amplitude, And Curvature Sustain A Similar

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.

Theory Attracts Practice As The Magnet Attracts Iron.

I Protest Against The Use Of Infinite Magnitude ..., Which Is Never Permissible In Mathematics.

When A Philosopher Says Something That Is True Then It Is Trivial. When He Says Something That Is Not Trivial Then It Is False.

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.