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.

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

I protest against the use of infinite magnitude ..., which is never permissible in mathematics.

Theory attracts practice as the magnet attracts iron.

When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.

I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of.

If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.