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 ...

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 ...

“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 ...

Type to search articles, cases, and authors. Press ↵ to view all results. “Common sense” reasoning is becoming more common at the Supreme Court. The justices have explicitly relied on common sense to ...

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 ...

See more of our trusted coverage when you search. Prefer Newsweek on Google to see more of our trusted coverage when you search. Meta is facing a mix of legal challenges, workforce cuts and local ...

A chatbot solution Recently, the company behind ChatGPT, OpenAI, announced that its internal AI model had made progress on a closely related version of this problem, which suggests that Erdős may have ...

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 ...

Given the sheer breadth of options available to consumers, buying a new refrigerator can be a dizzying task. It can also be a fun one, however, because who doesn't enjoy bringing a shiny new appliance ...