The same branch of mathematics that helped Einstein to formulate his theory of general relativity could now allow scientists to peer with unprecedented accuracy into impenetrable objects—such as the ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics.

When checking that solutions to certain problems are correct, it turns out, you can’t get around the inherent complexity of ...

For ages, countless mathematicians have advanced mathematics through proofs. This is because proof is a key tool for developing new theories and solving problems. That’s why a discussion about proofs ...

What happens when someone claims to have proved a famous conjecture? Well, it depends. When a paper is submitted, the journal editor will pass it off to a respected expert for examination. That ...

Like novelists, mathematicians are creative authors. With diagrams, symbolism, metaphor, double entendre and elements of surprise, a good proof reads like a good story. In his book Ludic Proof: Greek ...

Paul Erdős, the famously eccentric, peripatetic and prolific 20th-century mathematician, was fond of the idea that God has a celestial volume containing the perfect proof of every mathematical theorem ...

Space to play or pause, M to mute, left and right arrows to seek, up and down arrows for volume. JEREMY HIRST: This is a question for John Lennox. Professor Lennox, in Mathematics we're taught that ...