Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...
In these six rigorous essays originally delivered as lectures, theoretical physicist Rovelli (White Holes) advances the argument that reality is fundamentally “more complex and varied than we think.” ...
Math improvement rarely stalls because districts aren’t taking action. More often, it stalls because well-intentioned ...
In James Bell’s math class at Chapman High School, sophomores are trying to pinpoint exactly where two lines cross. The students in this rural Kansas high school already solved for that meeting point ...
OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...
“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...
"The worst form of inequality is to try to make unequal things equal." This powerful statement was delivered by the ancient Greek philosopher Aristotle centuries ago. This is chosen as today’s quote ...
What neural activity in motor cortex represents and how it controls ongoing movement remain unclear. Suggestions that cortex generates low-level muscle control are discredited by correlations with ...
This piece originally ran on Casey Newton’s Substack, Platformer. We’re republishing it here because it offers a lot of great detail about what it’s like to leave a media company and start your own ...
On Friday evening, New York lawmakers passed the equality amendment, an anti-discrimination law that would enshrine the constitutional right to abortion. “Despite the fact that in New York we feel ...