A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the technology threatens math as a discipline. By Siobhan Roberts Recently there ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Mathematical reasoning has long been emphasised as a central component of mathematics education and research. Nevertheless, few studies have synthesised how this concept has been treated both ...

I have been a longtime fan of inductive learning. It’s basically a matter of guiding students to identify patterns and explain the reasoning behind those patterns. The kids function as detectives. It ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

Traditional RAG systems struggle bridging structured SQL databases and unstructured document collections (a challenge we call the modality gap), leading to incomplete reasoning and hallucinations.

Just three days into the conflict, the Iran war has become attritional. Waves of drone attacks by the Islamic Republic are putting pressure on the defenses of the US and its partners from Bahrain to ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Harmonic AI Inc. a startup using artificial intelligence for formal mathematical reasoning, announced today that it has raised $120 million in new funding on a $1.45 billion valuation. The funding is ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

As software systems grow more complex and AI tools generate code faster than ever, a fundamental problem is getting worse: Engineers are drowning in debugging work, spending up to half their time ...

Mathematical proof debunks the idea that the universe is a computer simulation by Patty Wellborn, University of British Columbia edited by Gaby Clark, reviewed by Robert Egan Editors' notes ...