Astral Codex Ten - Book Review: The Man From The Future
John von Neumann invented the digital computer. The fields of game theory and cellular automata. Scientific meteorology. Important pieces of modern economics, set theory, and particle physics. A substantial part of the technology behind the atom and hydrogen bombs. Several whole fields of mathematics I hadn’t previously heard of, like “operator algebras”, “continuous geometry”, and “ergodic theory”. The Man From The Future, by Ananyo Bhattacharya, touches on all these things. But you don’t read a von Neumann biography to learn more about the invention of ergodic theory. You read it to gawk at an extreme human specimen, maybe the smartest man who ever lived. One physics Nobelist Eugene Wigner said of von Neumann that “only he was truly awake”. Another, Hans Bethe, said that “I have sometimes wondered whether a brain like von Neumann's does not indicate a species superior to that of man”. By age 6, he could multiply eight-digit numbers in his head. At the same age, he spoke conversational ancient Greek; later, he would add Latin, French, German, English, and Yiddish (sometimes joked about also speaking Spanish, but he would just put "el" before English words and add -o to the end) . Rumor had it he memorized everything he ever read. A fellow mathematician once tried to test this by asking him to recite Tale Of Two Cities, and reported that “he immediately began to recite the first chapter and continued until asked to stop after about ten or fifteen minutes”. A group of scientists encountered a problem that the computers of the day couldn’t handle, and asked von Neumann for advice on designing a new generation of computers that was up to the task. But:
Do these sound a little too much like urban legends? The Tale Of Two Cities story comes straight from the mathematician involved - von Neumann’s friend Herman Goldstine, writing about his experience in The Computer From Pascal to von Neumann. The computer anecdote is of less certain provenance, quoted without attribution in a 1957 obituary in Life. But this is part of the fun of reading von Neumann biographies: figuring out what one can or can’t believe about a figure of such mythic proportions. This is not really what Bhattacharya is here for. He does not entirely resist gawking. But he is at least as interested in giving us a tour of early 20th century mathematics, framed by the life of its most brilliant practitioner. The book devotes more pages to set theory than to von Neumann’s childhood, and spends more time on von Neumann’s formalization of quantum mechanics than on his first marriage (to be fair, so did von Neumann - hence the divorce). Still, for those of us who never made their high school math tutors cry with joy at ever having met them (another von Neumann story, this one well-attested), the man himself is more of a draw than his ergodic theory. And there’s enough in The Man From The Future - and in some of the few hundred references it cites - to start to get a coherent picture. Where Did Von Neumann Even Come From? The canonical answer is “Mars”. Technically he was born in Hungary. But we’ve already been through this. A few years ago I wrote about “The Martians” - a sudden spurt of Hungarian supergeniuses born around 1900. People low-key noticed this phenomenon almost as soon as it started, but it really became obvious during the Manhattan Project, when several of the project’s leading lights (including von Neumann) reconnected in the deserts of New Mexico c. 1940 and realized they’d gone to high school together in Budapest. Leo Szilard joked that “Hungary” was a front for Martian spies, and the group has been called “Martians” ever since.. In my post, I was able to track down a few clues to the mystery. All of the Martians were Jewish, which linked the puzzle to the general puzzle of Jewish overachievement (for example, 36% of US Nobel Prize winners are Jews, compared to only 2% of the US population). Greg Cochran and others suggest a genetic explanation, with Daron Acemoglu and others suggesting a cultural/historical one; unsurprisingly, I side with Cochran. Granting that this is a Jewish phenomenon, it’s not too hard to explain why it happened at the turn of the century in particular - too long before then, and anti-Semitism prevented European Jews from getting a good education; too long after then, and they all died in the Holocaust. That still leaves one mystery: why Hungary? There were Jews all over Europe. Although most of the weird overachievement comes from Ashkenazi Jews in particular - those from Eastern Europe - there were Ashkenazim in Germany, Austria, Hungary, Poland, Russia, Ukraine, the Baltics, etc. So why Hungary? In the last post, I came up with a few theories. Places too far east (eg Russia) had more anti-Semitism and less education. And the rest of Central Europe actually did have have lots of Jewish or half-Jewish geniuses during this period - Albert Einstein, Niels Bohr, Sigmund Freud, and Ludwig Wittgenstein, for example. Still, I wasn’t too happy with this explanation. Many of the Eastern European Jews eventually fled to America, where there was less anti-Semitism and they could get good educations. They did very well for themselves - see the Nobel Prize statistic above. But the Manhattan Project, which you would expect to draw disproportionately from Americans, was still disproportionately Hungarian. There are now 15x more Jews in the US than in early 1900s Hungary, but we still admire and envy those few 1900s Hungarian supergeniuses as a breed apart. Why? I couldn’t find a satisfying explanation. Bhattacharya quotes von Neumann’s own explanation:
I know you’re the smartest person in the world, but come on. Hungarian Jews did especially well because they felt like terrified outsiders who could be exterminated at any moment? That’s all Jews everywhere! This bothered me enough that I turned to a second von Neumann biography, Norman MacRae’s John Von Neumann: The Scientific Genius Who Pioneered The Modern Computer, Game Theory, Nuclear Deterrence, And Much More. I was delighted to find that MacRae had a completely straightforward explanation I had never heard before.
MacRae’s thesis is that, of the millions of Jews in Eastern Europe, the upper classes disproportionately migrated to Budapest, and the lower classes to New York. This fits with my findings in Contra Smith On Selective Jewish Immigration, where I argued that (contra Noah Smith’s claim that US Jewish achievement might be due to selective immigration) everyone at the time agreed that it was mostly the poorest and least successful Eastern European Jews who came to the US. From a paper I quoted there, describing a first-generation Jewish-American immigrant:
So the most successful Jews went to Budapest, and the poorest to America. If past success correlates with future success (cf. Plomin, Clark, etc), we would expect Budapest to continue to produce more talent. I think this clears up my remaining confusion around the Martians. For whatever reason, Eastern European Jews of the 19th century were unusually bright. The very brightest of this unusual group moved to Budapest, interbred with each other, and had one generation of totally unprecedentedly brilliant children before being totally wiped out. Everything about the Holocaust is so tragic that it’s hard to make it any worse, but credit to MacRae for his attempt. What Was Von Neumann’s Education Like? My wife and I are trying to conceive, and I found myself with a bit of an agenda when reading The Man From The Future’s early chapters. Was there anything special about von Neumann’s early years or education that helped him rise above his fellow Martians? What can interested parents do to improve their kid’s chances of becoming the world’s smartest person? John’s education started with ten years of seemingly haphazard home schooling; there was no tradition of organized primary schools at the time. Still, he was far from under-resourced during this time; his cosmpolitan governesses taught him every major European language, and he had access to his father’s spectacular library (this may have been when he memorized a 44-volume German-language history of the world, which he would later freak people out by quoting during historical discussions). The family patriarch was Max von Neumann, an extraordinarily successful lawyer who made so much money that the Emperor of Austria-Hungary ennobled him for service to the national economy. Every night, Max would gather John and his two brothers around the dinner table. First, he would discuss his own day - the cases he had argued, the financial deals he had negotiated., any problems that had been on his mind. Then the children would present on what they had been reading about. The whole von Neumann family - father Max, mother Margit, and the three children - would have protracted arguments on Henrich Heine’s poetry, or the trajectory of anti-Semitism in Europe, or the paradoxes of God’s omnipotence. Sometimes leading intellectuals would attend and join in, lured by Max’s continually growing wealth and reputation. One frequent guest was Rudolf Ortvay, director of Budapest’s Theoretical Physics Institute. Another was Sandor Ferenczi, a student of Sigmund Freud working on bringing the recently-founded psychoanalytic movement to Hungary. John’s brother Nicholas wrote an account of these sessions, including slightly strained accounts of how they might have influenced John’s future development. For example, one of Max’s most important deals was buying an automated loom company; as a result, the whole family picked up expertise in loom technology. The looms of the time were controlled by inserting punch cards, later to become a standard in digital computing (though not AFAICT through von Neumann’s influence in particular). At age 11, John went to high school at Budapest’s Fasori Gymnasium. This school has since attracted historical attention for the number of geniuses it produced; along with von Neumann, Wigner, and Teller, its alumni including Nobel-winning economist John Harsanyi and poet George Faludy. The faculty, too, were top-notch: young John’s math teacher was Laszlo Ratz, later to be memorialized by the Laszlo Ratz Prize given yearly for excellence in math education. But despite this enviable environment, it is unclear how much attention John ever paid in school. His brother writes about “frequent complaints of his high school teachers to the effect that when he was asked what the assignment was for today, he did not know; but he then participated in discussions with full competence and knowledge of the subject." Even Ratz was not fully confident in his ability to teach von Neumann, and eventually recommended a private tutor (according to MacRae, the tutor - Gabor Szego - would later become “one of the half dozen most distinguished Hungarian mathematicians of the twentieth century” and end up as chairman of the math department at Stanford). Throughout all this excellence, Bhattacharya keeps coming back to the theme of precariousness. Max von Neumann didn’t teach his kids five languages just because he wanted them to be sophisticated. He was preparing for them to have to flee Hungary in a hurry. This proved prescient; when John was fifteen, Communists took over Hungary, targeting rich families like the von Neumanns. A few months later, counterrevolutionaries defeated the Communists - then massacred thousands of Jews, who they suspected of collaborating. The von Neumanns survived by fleeing the country at opportune times, and perhaps by being too rich to be credibly suspected of communist sympathies. But John’s “feeling of extreme insecurity…and…necessity to produce the unusual or face extinction” certainly wasn’t without basis. This was, perhaps, an education of a different sort. So what is the recipe for giving your children a von Neumann-level intellect? I can make four strong recommendations:
What about those of us who, through poor planning and suboptimal life choices, have failed to do any of these in time? Here I am less sure. But I find myself charmed by the unstructured nature of John’s first ten years, and by Max’s nightly debates over the dinner table. Was Von Neumann A Nerd? No. You might expect someone who singlehandedly invented several fields of math to be at least a little aspie, but von Neumann defies the stereotypes. He loved parties, beautiful women, and fast cars. Especially the fast cars. According to Bhattacharya:
The Man From The Future avoids mentioning a rumor, spotted on Wikipedia, that part of von Neumann’s problem was a habit of reading books while driving. Although John could get lost in thought, he was far from demanding perfect silence. He reported doing his best work in chaotic environments, and at Princeton “he received complaints for regularly playing extremely loud German march music on his phonograph, which distracted those in neighboring offices, including Albert Einstein, from their work”. Most surprising, at least to me, John von Neumann was reportedly quite fun to be around - the life of the party. He used his prodigious memory not just for mathematical theorems but for an almost limitless amount of jokes and gossip. You can find a list of his favorite jokes in his brother’s biography. Here’s one:
Was Von Neumann A Psychopath? Granting that von Neumann was not a nerd, was he a psychopath? This has been a matter of more debate. His detractors called him “cold”, “calculating”, and “ruthless”, and pointed out that his game theory work, while brilliant, tended to focus on the most cutthroat scenarios (it was he who invented the term “zero-sum game”). While some of his Manhattan Project collaborators came to regret or at least agonize over their role in inventing the Bomb, von Neumann was disinclined to waste time questioning past decisions. Instead, he goaded the government to get to work building bigger, deadlier hydrogen bombs before the Russians managed the same. His most controversial opinion was urging an immediate pre-emptive nuclear strike on Russia. And he meant immediate - he famously said “If you say why not bomb [Russia] tomorrow, I say why not today? If you say today at five o' clock, I say why not one o' clock?” People have criticized him a lot for this one, but reading the book I think I got a pretty good sense of where he was coming from. Von Neumann hated totalitarianism. Really hated it. From his daughter Marina:
Bhattacharya expands on that “lights of civilization” phrase. Von Neumann was born to loving parents, in a super-rich family, during the Belle Epoque, in one of the most beautiful cities (with one of the most vibrant intellectual scenes) in history. He spent his youth flitting between the great German centers of learning, hashing out the foundations of quantum mechanics with a bunch of geniuses who all loved and admired him. Then the abortive Communist revolution in Hungary and the all-too-successful rise of Fascism in Germany destroyed all that. He had to watch, helpless, as his beloved universities were hollowed out into contemptible shells of their former selves and turned into echo chambers for Nazi propaganda. And then, after he escaped, Hitler killed most of the people he knew and loved. So yeah, he held a grudge. But also: von Neumann invented the minimax theorem. This is a game theory principle which Bhattacharya compares to the old trick to get a fair division of pie - one player slices it, the other player picks which slice they want. Generalized, it says “assume that your opponent will act in the way that best serves their interests at your expense, then plan accordingly”. In the late 1940s, America hadn’t thought through nuclear second strike doctrine. There was no “keep some nuclear bombs ready for revenge if an enemy first-strikes you”. Whoever launched a nuclear first strike would just win totally with no downside. By minimax, as soon as the Soviet Union developed nuclear bombs, they would make the move that best served their interests - ie launch a nuclear first strike and win totally. So by minimax, America’s best option was to make the appropriate move given that that was true - which was clearly to nuke the USSR first, before they could get bombs themselves. Knowing what we know now, this proved unnecessary. Partly this was because it turned out to be possible to develop a retaliatory capacity to discourage first strikes. And partly it was because the Soviets weren’t perfectly rational game theoretic agents (predictable in retrospect given that at this point nobody except von Neumann and a few of his friends had even heard of game theory). “There was perhaps an inclination [for von Neumann] to take a too exclusively rational point of view about the cases of historical events”, said his friend Stanislaw Ulam, in his obituary. Outside of geopolitical conflict, von Neumann could show great compassion. He moved heaven and earth to further the careers of scientists he considered promising, with Alan Turing and Benoit Mandlebrot (among many others) benefiting from his generosity. A friend described him as “always gentle, always kind, always penetrating and always magnificently lucid.” And he was especially good with children, for whom he had seemingly unlimited patience. Edward Teller wrote that "Von Neumann would carry on a conversation with my 3-year-old son, and the two of them would talk as equals, and I sometimes wondered if he used the same principle when he talked to the rest of us.“ What Is It Like To Be A Martian? So fine. He wasn’t a nerd and he might not have been a psychopath either. But, at the core, what was he? What was it like to be John von Neumann? To remember everything you’ve ever read? To be (according to rumor) the only person who has ever completely and straightforwardly understood quantum mechanics? Do you feel amazing all the time, like a god? Is it lonely? What is your internal experience? The only time in The Man From The Future where I felt like I got a real glimpse of this was near the end, when Edward Teller was eulogizing his sometimes friend, sometimes rival. He said:
The book actually has a story that touches on this point in a kind of hilarious way. Von Neumann’s friend, fellow European Jewish emigre, and fellow Manhattan Project physicist Stanislaw Ulam contracted a case of viral encephalitis, an inflammation of the brain. His doctors told him that he should “rest his brain”, ie avoid thinking too hard. A desperate Ulam tried to distract himself by playing solitaire, but couldn’t help wondering about the probabilities of winning. Failing to solve the problem with any statistical trick then known, he was unable to prevent himself from developing what is now called the Monte Carlo method, which proved instrumental in the development of the hydrogen bomb and much of modern statistics. Bhattacharya returns to the same theme more darkly at the end. Von Neumann lies in bed, dying of cancer at only 53 (potentially from attending too many nuclear tests). His friends, families, and colleagues sit vigil with him at the hospital, and he begs them to ask him math problems, to test whether his brain is still intact. At first, he answers with the confidence of a god, solving even the most difficult questions with impossible speed. As the disease progresses, his performance gets worse and worse, until finally he cannot handle basic multiplication. Says his friend/rival Teller:
Still, he had the presence of mind to make a last request: after a lifetime of culturally-Jewish atheism, he wished to be baptized. His daughter attributed her father’s “change of heart” to Pascal’s Wager: the idea that even a very small probability of gaining a better afterlife is worth the relatively trivial cost of a deathbed conversion. Even as his powers deserted him, John von Neumann remained a game theorist to the end. Did Von Neumann Think We Would Make It? The Man From The Future can seem a bit scatterbrained at times. Von Neumann revolutionized so many fields that it’s hard to find a unifying theme. What connects atom bombs and computers to climate, game theory, and self-replicators? Bhattacharya’s inspired answer is: existential risk. Von Neumann was not one to agonize about his own contribution to the world’s pending nuclear apocalypse, at least not publicly. But he deigned to offer his opinions in a 1955 article, “Can We Survive Technology?” The essay is tight and carefully-argued, with the lucidity of a mathematical proof. Under the circumstances, he devotes most of his space to nuclear war, although he briefly touches on other issues including global warming (in 1955!). He suspects there will be many more existential risks as time goes on, but does not waste time trying to name all of them (a few years earlier, he had coined the term “[technological] singularity”, meaning a point at which technology advanced so far that it became impossible to predict the details of what comes next). Instead, he gives generic advice:
Then what does he suggest?
This sounds suspiciously like the smartest man in the world admitting he’s not sure what to do. You’re a free subscriber to Astral Codex Ten. For the full experience, become a paid subscriber. |
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