In 2024, an AI entered the fray of the International Mathematical Olympiad (IMO). Google’s AlphaProof is part of the same ...

At the 2024 International Mathematical Olympiad (IMO), one competitor did so well that it would have been awarded the Silver ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Study enables deeper understanding of the Borell-Brascamp-Lieb inequality, which has wide applications across many scientific fields, from physics to economics. What happens when things combine? This ...

A mathematical proof has finally debunked the idea that we live in a simulation, according to a group of international researchers. The theory that the universe could be a computer programme has been ...

Constructive mathematics reconsiders traditional foundational approaches by emphasising explicit constructions and algorithmic content rather than relying solely on non-constructive existence proofs.

In the 1970s, the late mathematician Paul Cohen, the only person to ever win a Fields Medal for work in mathematical logic, reportedly made a sweeping prediction that continues to excite and irritate ...

Linguistics and Philosophy focuses on issues related to structure and meaning in natural language, as addressed in the philosophy of language, linguistic semantics, syntax and related disciplines, in ...

Earlier this month the math world turned toward the University of Oxford, looking for signs of progress on a mystery that has gripped the community for three years. Within days it was clear that ...