In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

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The puzzle poses a deceptively simple question that boils down to: How many pairs of dots on a piece of paper can be the same distance apart?

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 ...

Using AI chatbots for even just 10 minutes may have a shockingly negative impact on people’s ability to think and problem-solve, according to a new study from researchers at Carnegie Mellon, MIT, ...

This is our home. If we destroy it, and we can’t build it up, then that’s a part of the Earth that’s destroyed, and we won’t be able to get it back. Matthew, aged ten, isn’t alone in feeling this way.

Researchers have found a faster, more accurate way to design magnetic “bottles” that hold plasma for fusion power. Using symmetry theory instead of traditional, slow Newton-based calculations, they ...

Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

Every day, millions of people turn to an artificial intelligence chatbot like Claude, Gemini, and ChatGPT to ask a question about their physical health. They may not know that getting the correct ...