For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...

A mathematician may have just proved the impossible possible. For 30 years, mathematicians wondered if you could have an infinite set of numbers where each pair of numbers adds up to a unique value, ...

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it ...

Simple mathematical concepts such as counting appear to be firmly anchored in the natural process of thinking. Studies have shown that even very young children and animals possess such skills to a ...

Mathematics is a foundation of modern science. Most of natural science and engineering is unimaginable in the absence of calculus and differential equations. The deepest theories of modern physics ...