“Mathematicians are extremely lucky, they are paid for doing what they would by nature have to do anyway. One should not have a non-teaching fellowship too long, there comes a time when one must make a contribution to society. Great mathematics is achieved by solving difficult problems not by fabricating elaborate theories in search of a problem.”

Source: The Fractalist (2012), Ch. 17, p. 178

Nova Interview

Source: Linear programming and extensions (1963), p. vii.

Source: Enigmas Of Chance (1985), Chapter 2, Lwów, p. 39.

Source: 1980s, That Benediction is Where You Are (1985), p. 18
Context: From childhood we are trained to have problems. When we are sent to school, we have to learn how to write, how to read, and all the rest of it. How to write becomes a problem to the child. Please follow this carefully. Mathematics becomes a problem, history becomes a problem, as does chemistry. So the child is educated, from childhood, to live with problems — the problem of God, problem of a dozen things. So our brains are conditioned, trained, educated to live with problems. From childhood we have done this. What happens when a brain is educated in problems? It can never solve problems; it can only create more problems. When a brain that is trained to have problems, and to live with problems, solves one problem, in the very solution of that problem, it creates more problems. From childhood we are trained, educated to live with problems and, therefore, being centred in problems, we can never solve any problem completely. It is only the free brain that is not conditioned to problems that can solve problems. It is one of our constant burdens to have problems all the time. Therefore our brains are never quiet, free to observe, to look. So we are asking: Is it possible not to have a single problem but to face problems? But to understand those problems, and to totally resolve them, the brain must be free.

1960s, Address to Cornell College (1962)

Now is the Time to Prevent a Third World War (1950)
Context: World government must progressively be established, common problems must be solved by common action, economic and racial justice and fellowship must be achieved... empires must be transformed into commonwealths, the race of armaments must be stopped and the system of balance-of-armed-power must be brought to an end, the churches must take Jesus seriously by trusting goodwill and pacific means and by disentangling themselves from the war system, a mighty movement of peoples must be created so that governments will maintain friendly and cooperative relations and will refrain from hostile and provocative actions.... Now is the time to prevent a third world war.

Source: Enigmas Of Chance (1985), Chapter 6, Cornell II, p. 122.

Source: A History of Mathematics (1893), p. 248; As cited in: Moritz (1914, 155); Persons and anecdotes.