We have no reason to think that climate change is harmful if you look at the world as a whole. Most places, in fact, are better off being warmer than being colder. And historically, the really bad times for the environment and for people have been the cold periods rather than the warm periods.

The great advances in science usually result from new tools rather than from new doctrines.

You have this world of mathematics, which is very real and which contains all kinds of wonderful stuff. And then we also have the world of nature, which is real, too.

The analogies between science and art are very good as long as you are talking about the creation and the performance. The creation is certainly very analogous. The aesthetic pleasure of the craftsmanship of performance is also very strong in science.

We must be careful not to discourage our twelve-year-olds by making them waste the best years of their lives preparing for examinations.

I am acutely aware of the fact that the marriage between mathematics and physics, which was so enormously fruitful in past centuries, has recently ended in divorce.

You have this world of mathematics, which is very real and which contains all kinds of wonderful stuff. And then we also have the world of nature, which is real, too. And that, by some miracle, the language that nature speaks is the same language that we invented for mathematics. That's just an amazing piece of luck, which we don't understand.