OpenAI has released 372 families of AI-generated mathematics results. What do they really prove, how does Lean verification work, and why are mathematicians divided?
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OpenAI has released 372 families of AI-generated mathematics results. What do they really prove, how does Lean verification work, and why are mathematicians divided?
Cortisol has become one of the internet’s favorite health villains. If you feel tired, someone blames cortisol. If you gain weight, someone blames cortisol. If your face looks puffy, someone blames cortisol. If you drink coffee before breakfast, someone will eventually tell you that you are “wrecking your hormones.” It…
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OpenAI has announced one of the most serious AI mathematics breakthroughs so far: an internal reasoning model has disproved a famous conjecture linked to Paul Erdős and the planar unit distance problem. The result matters because it is not just another benchmark score, contest performance, or polished demo. It is…
OpenAI is reportedly preparing for one of the most closely watched initial public offerings in technology history, with Goldman Sachs and Morgan Stanley working on a confidential IPO filing that could arrive as soon as May 22, 2026. According to reports from CNBC, The Wall Street Journal and the Financial…
Andrej Karpathy, one of OpenAI’s founding members and a former Tesla AI leader, has joined Anthropic to work on large language model research inside the team responsible for Claude’s pretraining. The move was announced on May 19, 2026, and it is already being read as another sign of how intense…
Elon Musk has lost his first major lawsuit against OpenAI, after a federal jury in Oakland, California, concluded that his claims were filed too late under the statute of limitations. The decision is a major legal win for OpenAI, Sam Altman, Greg Brockman, and Microsoft, even though it does not…
Adult attachment styles are relatively stable patterns in the way people think, feel, and behave in close relationships. They can influence how comfortable we feel with intimacy, how we react to distance, how we ask for reassurance, and how we protect ourselves when closeness feels risky. But an attachment style…
OpenAI is rolling out a new personal finance experience inside ChatGPT, giving eligible Pro users in the United States a way to connect supported financial accounts, review spending, track subscriptions, and ask finance-related questions grounded in their own data. The feature, called Finances in ChatGPT, marks an important step in…
Ancient markings on ivory figurines, tools, and musical instruments suggest that humans may have used structured symbolic systems tens of thousands of years before the first known writing systems. Writing did not appear suddenly out of nowhere. Long before clay tablets, alphabets, books, or code, humans were already making marks…