DeepMind is pushing artificial intelligence into one of the hardest arenas in science, building a system that can navigate the unforgiving logic of formal mathematical proofs. Instead of just ...

For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

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 ...

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 ...

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 ...