How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.

If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

He who seeks for methods without having a definite problem in mind seeks in the most part in vain.

Space, the whole universe - I know no better place to find new physics.

Crystallographers believed in X-ray results, which are of course very accurate. But the x-rays are limited, and electron microscopy filled the gap, and so the discovery of quasicrystals could have been discovered only by electron microscopy, and the community of crystallographers, for several years, was not willing to listen.

Science sent the Hubble telescope out into space, so it could capture light and the absence thereof, from the very beginning of time. And the telescope really did that. So now we know that there was once absolutely nothing, such a perfect nothing that there wasn't even nothing or once.

Science is the knowledge of consequences, and dependence of one fact upon another.