The Conversation
I. Debating Exceptionalism
Personal and professional
HB: Iād like to talk about the scientific temperament. One of the things that I think is so intriguing about you is that, in many ways, you seem to be the exception that proves the rule. There is this clichĆ© that academics know more and more about less and less until they know everything about nothing. I think, from my limited experience, that there is some truth to that. There are some people who are quite narrow and deep, and then there are people who tend to be quite broad and somewhat shallow. But you strike me as both exceptionally broad and exceptionally deep. Iām not exactly sure how you manage that.
Youāve made seminal research contributions to so many different areas of physics: quantum electrodynamics, quantum many-body systems, and solid-state physics. You were involved in building spaceships. Youāve thought deeply about biology. You just co-authored a paper on game theory. And of course your intellectual upbringing, as it were, was in pure math.
Am I completely off-base here? Do you view yourself this way, or, more generally, as atypical in any particular way?
FD: I think what is different about me is that Iāve led two quite separate lives.
One is my life as a scientist, which has been very conventional. All I do as a scientist is old-fashioned mathematics. Itās applied to different problems in different areas, but they are essentially the same tools. Iām a good old-fashioned 19th-century applied mathematician; and thatās what I do professionally.
On the other side, Iām a writer. And as a writer I have a totally different point of view. Iām interested in all kinds of different things. I donāt try to be deep; I try to be broad. So thatās why you see both sides and it looks unusual.
HB: Well, I disagree, and hereās why: if you look at the contributions youāve made within physics and mathematics alone, that strikes me as an enormously large spectrum. But rather than trying to engage in this ridiculous argument that Iām not going to wināeven though Iām convinced that Iām rightālet me instead give you an anecdote of something that happened to me this morning.
I had the good fortune of having breakfast with one of your Institute colleagues and I asked him if there was anything he would like me to ask you during our conversation. He thought for a while before saying, āAsk him how he does it.ā
So it isnāt just me who thinks this. But letās move on.
In the recent biography about you that came out, there was something Iād like to check up on. It concerns your work on quantum electrodynamics where it said that you were intent on āfinishing offā the theory in the right way, meaning that the perturbation expansion that describes the physics of what is happening mathematically converges to some definite value.
Once you recognized that the series does not, in fact, converge, you were deeply troubled. And the book maintainsāI donāt remember who was quotedāthat at that point you decided you werenāt going to invest an enormous amount of intellectual energy in any one particular idea, like you had with quantum electrodynamics, because you were so disconsolate at the idea that this series wouldnāt converge.
Is that actually true?
FD: I donāt think thatās true, although I canāt remember exactly after 60 years. Iād have to make it up.
What really happened was that I didnāt contribute any new ideas to that whole discussion. The ideas were essentially all worked out by Dirac, Fermi, and Heisenberg fifteen years earlier. So what we were doing in the 40s was just cleaning it up, making it user-friendly so that you could actually use the theory. That was what I was engaged in: just cleaning up the details. It was nothing new as far as the physics was concerned.
Cleaning up the details was a job I could do, and thatās what I really enjoyed. It was great fun. Thatās what I did for a couple of years.
Of course, we thought the thing was going to converge and then we would have a complete, closed, mathematically consistent theory. That would have been nice. But on the other hand, finding out it did not converge made it even more interesting in a way. I certainly wasnāt disconsolate about that; I actually viewed it as more of a challenge.
But I did decide that Iād done enough at that point. Iād worked on it for two years and I needed a change, so I decided to go off and do spin waves instead.
HB: That seems quite a change.
FD: Not really. Itās essentially the same kind of situation: I was just cleaning up the details. The physics wasnāt very different. What Iām good at is cleaning up the mathematics.
Just in the last two years I worked with Bill Press on the prisonerās dilemma. It was the same situation: he had the ideas and I just cleaned up the mathematics.
HB: Hereās this overly self-effacing disposition once again. So Iāll just repeat myself and say that this is an argument that I shouldnāt be trying to win, because you can always be more self-effacing, not to mention the fact that weāre talking about your actual work.
FD: Itās true that thereās a style that is still the same after 60 years. When Iām doing technical work, thatās what it is.
HB: OK, let me try to generalize a bit instead of engaging in an absurd and unwinnable argument. Let me bring this back to a question related to the scientific temperament.
In my experience, there are people who work in a wide variety of fields and just scratch the surface; and then...