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 ...

For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...

Bumblebees faced with a challenge know how to play ball. Buff-tailed bumblebees can figure out on their own how to use a ball as a ladder to nab sugar from an out-of-reach fake flower, researchers ...

Despite having tiny brains, bumblebees have demonstrated a remarkable ability to socially learn how to use tools, solve simple puzzles, and cooperate to achieve a goal. It seems they can also solve ...

In a new study, bumble bees solve a completely novel object-manipulation task. What makes this behavior especially remarkable is that the bees had never been trained. The findings challenge the ...

German psychologist Wolfgang Köhler set up a famous experiment more than 100 years ago that changed how scientists understand animal intelligence and the power of insight — or spontaneous ...

“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 ...

GameSpot may receive revenue from affiliate and advertising partnerships for sharing this content and from purchases through links. 007 First Light is now out, and so too is a fresh update for the ...

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 ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...