His second motto: Thou, nature, art my goddess; to thy laws my services are bound.

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.

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.

Theory attracts practice as the magnet attracts iron.

No contradictions will arise as long as Finite Man does not mistake the infinite for something fixed, as long as he is not led by an acquired habit of mind to regard the infinite as something bounded.

In mathematics there are no true controversies.

Mathematics is concerned only with the enumeration and comparison of relations.