The greatness of a life can only be estimated by the multitude of its actions. We should not count the years, it is our actions which constitute our life.
Virtue is the habit of acting according to wisdom.
Everything that is possible demands to exist.
It's easier to be original and foolish than original and wise.
Music is a secret and unconscious mathematical problem of the soul.
His second motto: Thou, nature, art my goddess; to thy laws my services are bound.
Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems.
Arc, amplitude, and curvature sustain a similar relation to each other as time, motion, and velocity, or as volume, mass, and density.
The total number of Dirichlet's publications is not large: jewels are not weighed on a grocery scale.
It is always noteworthy that all those who seriously study this science conceive a sort of passion for it.
Mathematical discoveries, like springtime violets in the woods, have their season which no human can hasten or retard.
When a philosopher says something that is true then it is trivial. When he says something that is not trivial then it is false.
I believe you are more believing in the Bible than I. I am not, and, you are much happier than I.
When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.
I protest against the use of infinite magnitude, which is never permissible in mathematics.
Ask her to wait a moment - I am almost done.
Mathematics is concerned only with the enumeration and comparison of relations.
Mathematics is the queen of science, and arithmetic the queen of mathematics.