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 ...

“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 ...

AI can rifle through enormous libraries of information to connect far-flung ideas—conceptual leaps remain a purely human skill. The planar unit distance problem, or Erdős problem 90, has intrigued ...

When you consider the main purpose of a review is to answer the question of whether something is actually as good as it appears to be in ads and previews before you decide to spend your time and money ...

Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning OpenAI has claimed a further advance in AI reasoning after its technology successfully tackled an 80-year-old ...

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 ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

A basis point is one hundredth of a percent, or 0.01%. We describe mortgage rates’ ups and downs in basis points because they simplify comparisons. NerdWallet’s rates are expressed as an annual ...

Problem solving is the mental process of analyzing a situation, learning what options are available, and then choosing the alternative that will result in the desired outcome or some other selected ...

While much of the spotlight belonged to San Antonio Spurs superstar Victor Wembanyama, the player drawing the harshest criticism afterward was Thunder big man Chet Holmgren. Facing elimination, ...

The Apple Watch Series 7 retains the same design elements that have been present since its first iteration. Despite rumors of a flat-edged redesign, Apple doubled down on rounded sides and added a ...