The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.

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.

Mathematicians stand on each other's shoulders.

There have been only three epoch-making mathematicians, Archimedes, Newton, and Eisenstein.

The Infinite is only a manner of speaking.

I have had my results for a long time: but I do not yet know how I am to arrive at them.

Life stands before me like an eternal spring with new and brilliant clothes.

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.

I could trust a fact and always cross-question an assertion.

Nothing is to wonderful to be true.