Can we make artificial intelligence impervious to adversaries who want to twist the technology to nefarious ends? Though AI ...

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 ...

Set theory underpins modern mathematical logic by providing a unified language for defining fundamental mathematical objects and analysing their properties. At its core lies the Zermelo–Fraenkel ...

Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core principles didn’t come easily. How do mathematicians decide that something ...

Physicists are making new inroads into the world of post-quantum theories, uncovering what reality may look like on a level deeper and stranger than the already infamously odd quantum theory. In the ...

Health and Human Services Secretary Robert F. Kennedy Jr. told a Senate Finance Committee hearing on 22 April 2026 that President Donald Trump uses a 'different way' of calculating drug price ...

Daniel Glasscock, an assistant professor of mathematics and statistics in the Kennedy College of Sciences, has been interested by Ramsey theory since his master’s degree studies at Central European ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? Here’s what you’ll learn when you read this story: Because our eyes perceive color ...

Below, Tom Griffiths shares five key insights from his new book, The Laws of Thought: The Quest for a Mathematical Theory of the Mind. Griffiths is a professor of psychology and computer science at ...

Researchers at Stanford and Caltech have found some critical reasoning failures in advanced AI models. LLMs are great at recognizing patterns, but they have trouble with basic logic, social reasoning, ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...