One of the readers of Scott Alexander’s Astral Codex Ten has contributed a review of The Man From The Future: The Visionary Life of John von Neumann by Ananyo Bhattacharya. This is one of perhaps a dozen or so anonymous reviews that Scott publishes every year with the readers voting for the best review and the names of the contributors withheld until after the voting is finished:
John von Neumann invented the digital computer. The fields of game theory and cellular automata. 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.
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:
When the presentation was completed, he scribbled on a pad, stared so blankly that a RAND scientist later said he looked as if “his mind had slipped his face out of gear”, then said “Gentlemen, you do not need the computer. I have the answer.” While the scientists sat in stunned silence, Von Neumann reeled off the various steps which would provide the solution to the problem.
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.
