The culture of mathematics is all about proof. We sit around and think, and 95% of what we do is proof. A lot of the understanding we gain is from struggling with proofs and interpreting the issues ...

The author sketches the development of ever-more-rarefied mathematics, from calculus to the mind-bending work on different kinds of infinity by the Russian-German sage Georg Cantor, who proved ...

The Uncertain Science of Certainty sets out for readers “why it is crucial to find better ways to trust the things we cannot ...

In “Defending the Axioms,” Maddy describes the way we’ve gone from mathematics being seen by Plato as an eternal form, like truth or beauty, to identifying math and science as almost one ...

The crypto startup Axiom – a protocol allowing developers to write smart contracts on Ethereum that can retrieve data from the blockchain network and then perform intensive computations on it – has ...

Never in modern times have mathematicians argued so publicly and so vehemently about a proof,” writes mathematics historian Gregory Moore in his 1982 book Zermelo’s Axiom of Choice. And things ...

If pure math can teach us anything, it’s this: occasionally, your special interest might just change the world. For Joshua Zahl and Hong Wang, that special interest was the Kakeya conjecture.

But a proof assistant also has drawbacks: It often complains that it does not understand the definitions, axioms or reasoning steps entered by the mathematician, and for this it has been called a ...