AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...

The global economy as we know it is dying. Around the beginning of the 18th century, a “Great Divergence” began between ‘the West and the Rest’ – one that tipped the global socioeconomic scales for ...

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the ...

By now, ChatGPT, Claude, and other large language models have accumulated so much human knowledge that they're far from simple answer-generators; they can also express abstract concepts, such as ...

By explicitly modeling each step of a problem and gradually fading away supports, teachers can give students a clear path to mastering new content.

DeepMind's Aletheia is a huge advance in AI-driven mathematical reasoning. It is a research agent built on top of Gemini Deep ...

The team used an AI method known as equation discovery to develop a model to simulate the interactions between small eddies—circular, vortex-like currents—and large-scale ones. These interactions are ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

In other words, you want to construct a polyhedral torus with faces that are shapes such as triangles or rectangles. Your peculiar-looking shape will be trickier to construct than one with a smooth ...

In a world run by computers, there is one algorithm that stands above all the rest. It powers search engines, encrypts your data, guides rockets, runs simulations, and makes the modern digital ...