OpenAI Astra mathematics proofs: OpenAI's unreleased Astra model solved ten decade-old open problems in math and theoretical ...

Sebastien Bubeck of OpenAI says “yes, nonsofic groups exist”—as an example of “many new beautiful results” from Astra, next major OpenAI model. OpenAI published a page and PDF detailing ten advances ...

But from the perspective of research mathematicians, and especially young people who are pursuing a Ph.D. in mathematics, ...

As AI climbs on the shoulders of many mathematicians before it, humans are also able to reach further due to advances by AI.

In an episode of the cartoon, a machine lets characters swap bodies, but they can’t switch back with the same person. Math ...

Tangent accepted: The modern supply chain is one of the most powerful things in the world (basically allowing all the nice things like us not living in thatched huts and eating gruel), and as such, ...

In science, researchers often focus their entire careers on the pursuit of one primary field. Some, however, find that bridging fields opens new realms of possibility. Henry Kvinge, who trained as a ...

Have you caught your breath yet? The group stage of the 2026 World Cup was packed with memorable moments (how about Cape Verde?), and it's hard to believe that it was merely the appetizer for three ...

When Paul the Octopus sadly died at an aquarium in Germany in 2010, there was a massive void to fill in the World Cup prediction space. It seemed a huge ask to find a tipster on the same level as the ...

All you need to know about England's chances of making last 32 against Ghana: ...

If a team is level on total points, the next tiebreakers are (in order): goal difference, total goals scored, team conduct score (how many yellow and red cards a team has received,) and finally, FIFA ...