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 ...

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 ...

IPO mania has begun, and nothing kickstarts initial public offerings like spreadsheets flashing green to incite the crowd. SpaceX’s recent S-1 filing promoted an “actionable total addressable market” ...

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 ...

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 ...

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 model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” ...

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 ...

Goldbach’s conjecture sounds almost too simple: every even number greater than two should be the sum of two primes. Mathematicians have chased it for nearly 300 years, a publisher once offered $1 ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Nothing rivals the human brain's complexity. Its 86 billion neurons and 85 billion other cells make an estimated 100 trillion connections. If the brain were a computer, it would perform an exaflop (a ...