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.

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.

There does seem to be a sense in which physics has gone beyond what human intuition can understand. We shouldn't be too surprised about that because we're evolved to understand things that move at a medium pace at a medium scale. We can't cope with the very tiny scale of quantum physics or the very large scale of relativity.

The main purpose of science is simplicity and as we understand more things, everything is becoming simpler.

I was full of pride when President Obama talked about coding in his last State of the Union address. I was proud when Chicago recently made computer science mandatory as a requirement for graduation. To see this elevate to the level of a bigger conversation is progress.

I don't really know what the future of science is. Maybe we have come to the end of science; maybe science is a finite field. The inventions resulting from this finite field, however, are boundless.