All posts tagged: Unsolved

The Gamblers Behind One of Chess’s Weirdest Unsolved Cheating Mysteries Have Been Unmasked

The Gamblers Behind One of Chess’s Weirdest Unsolved Cheating Mysteries Have Been Unmasked

The modern era of cheating in chess began on a Thursday in July 1993, when a man with shoulder-length dreadlocks walked into the World Open tournament in Philadelphia and registered as John von Neumann. Both the hair and the name were phony. The real Von Neumann was a prominent mathematician and computer scientist who died in 1957. The fake Von Neumann had a suspicious buzzing bulge in his pocket, fought a grandmaster to a draw, then fled before anyone could work out who he was. A Boston Globe columnist called it “one of the strangest cheating episodes in chess history.” Chess.com recorded the “Von Neumann incident” as “the earliest known case of a potential computer cheater.” This was decades before chess pros started getting expelled from tournaments for using smartphones, and a lifetime before the recent buzzing anal beads scandal. (Google it, but not at work.) It was years ahead of Garry Kasparov’s defeat by IBM’s Deep Blue, in an era when humans still imagined themselves to be smarter than machines. The identity of the …

A New AI Math Startup Just Cracked 4 Previously Unsolved Problems

A New AI Math Startup Just Cracked 4 Previously Unsolved Problems

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance along curved surfaces. While working on one theorem, they ran into an unexpected roadblock: Their argument depended on a strange formula from number theory, but they were unable to solve or justify it. In the end, Chen and Gendron wrote a paper presenting their idea as a conjecture, rather than a theorem. Chen recently spent hours prompting ChatGPT in the hopes of getting the AI to come up with a solution to the still unsolved problem, but it wasn’t working. Then, during a reception at a math conference in Washington, DC, last month, Chen ran into Ken Ono, a well-known mathematician who had recently left his job at the University of Virginia to join Axiom, an artificial intelligence startup cofounded by one of his mentees, Carina Hong. Chen told Ono about the problem, and the following morning, Ono presented him with a proof, courtesy of his startup’s …