In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.

Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.

Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.

The whole is always more, is more capable of a much greater variety of wave states, than the combination of its parts. ... In this very radical sense, quantum physics supports the doctrine that the whole is more than the combination of its parts.

In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.

Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.

God exists because arithmetic is consistent - the Devil exists because we can't prove it!