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 ...

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 ...

Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...

A recent announcement that an artificial intelligence model succeeded in solving a decades-old mathematical problem that had eluded generations of accomplished mathematicians was widely portrayed as ...

“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 ...

It started almost by accident. At my startup Dwelly, I constantly push the limits of what AI tools can actually do. One day I just typed into a chat: “Can you prove P ≠ NP?”—referring to the problem ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Critics of artificial intelligence caution that, as a relatively new technology, its long-term effects on the human brain are still unknown. But a new study shows that AI could be dangerous even in ...