To come up with a result as weird as this, you need to be using some equally mind-bending math – and indeed, this paradox comes to us from the world of set theoretic geometry. If that’s not familiar ...

The small but ubiquitous proton serves as a foundation for the bulk of the visible matter in the universe. It abides at the ...

For the last few years, chain-of-thought prompting has become the central method for reasoning in large language models. By encouraging models to “think aloud,” researchers found that step-by-step ...