I can observe the game theory is applied very much in economics. Generally, it would be wise to get into the mathematics as much as seems reasonable because the economists who use more mathematics are somehow more respected than those who use less. That's the trend.
I never saw my grandfather because he had died before I was born, but I have good memories of my grandmother and of how she could play the piano at the old house.
You don't have to be a mathematician to have a feel for numbers.
People are always selling the idea that people with mental illness are suffering. I think madness can be an escape. If things are not so good, you maybe want to imagine something better.
I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium, and symptoms of schizophrenia.
In madness, I thought I was the most important person in the world.
I can see there's a connection between not following normal thinking and doing creative thinking. I wouldn't have had good scientific ideas if I had thought more normally.
I seem to be thinking rationally again in the style that is characteristic of scientists. However, this is not entirely a matter of joy, as if someone returned from physical disability to good physical health. One aspect of this is that rationality of thought imposes a limit on a person's concept of his relation to the cosmos.
In a dream it's typical not to be rational.
As a graduate student I studied mathematics fairly broadly, and I was fortunate enough, besides developing the idea which led to 'Non-Cooperative Games,' also to make a nice discovery relating to manifolds and real algebraic varieties.
Though I had success in my research both when I was mad and when I was not, eventually I felt that my work would be better respected if I thought and acted like a 'normal' person.
I know that if I could really understand mental illness, then it would be appropriate to make a big career shift. I would become a therapist and a leader in terms of mental illness. But I'm not in the position.
I don't think exactly like a professional economist. I think about economics and economic ideas, but somewhat like an outsider.
I had been offered fellowships to enter as a graduate student at either Harvard or Princeton. But the Princeton fellowship was somewhat more generous, since I had not actually won the Putnam competition... Thus Princeton became the choice for my graduate study location.
It has had a tremendous impact on my life, more than on the life of most Prize winners, because I was in an unusual situation. I was unemployed at the time. I was in good health, but I had reached the age of 66 and beginning to get social security, but I didn't have much of that. I had many years of unemployment before me.
Of course, the American education system is very inefficient in many ways compared to other countries in Europe or Japan, but it works in such a way that at least the few people who are going onto unusual careers and science can manage to get into that, even though they go through an earlier stage that doesn't give them much.
The ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously.
I went to M.I.T. in the summer of 1951 as a 'C.L.E. Moore Instructor.' I had been an instructor at Princeton for one year after obtaining my degree in 1950. It seemed desirable more for personal and social reasons than academic ones to accept the higher-paying instructorship at M.I.T.
To some extent, people who are insane are nonconformists, and society and their family wish they would live what appear to be useful lives.
There are things that tend to moderate with age. Schizophrenia is somewhat like that.