Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...
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 ...
Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...
The second batch of “First Proof” problems is meant to evaluate AI’s usefulness for research-level math. The best model got six or seven of the ten questions right.
A dribble and a jump shot, followed by a fractions task. That is what physical education classes looked like for a group of pupils, and the pupils not only found the lessons more engaging than ...
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 ...
It's also very rare to see a player post 350+ opportunities back-to-back, and it's actually far more common to see a major ...
A famed physicist’s scribbles reveal the answer to a quintessential dilemma: When dining out, is it better to stick with an old favorite, or try something new? Nobel Prize–winning physicist Richard ...
Why eating less and exercising more backfires after midlife. Here's what actually works.
Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...