The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Although it has ancient roots, the meaning of infinity remains baffling, and it seems to have absolutely no bearing on everyday life. The mathematics of infinity is complex, but it isn’t simply a very ...

At the University of Vaasa in Finland, mathematician Yosra Barkaoui has successfully generalized a fundamental theorem that had remained confined to “bounded” systems for more than 40 years.

Infinity contains everything, including multiple kinds of infinities. Mathematicians have long known that there are many kinds of infinities (technically, there are an infinity of them).

(THE REPORTER) — Now that everyone has mini-supercomputers that pretend to be phones in their pockets, it can be challenging to get young people to learn problem-solving skills that do not involve ...

Is artificial intelligence replacing human genius in mathematics, or redefining it? From the Navier-Stokes mystery to ...

In 1886 the mathematician Leopold Kronecker famously said, “God Himself made the whole numbers — everything else is the work of men.” Indeed, mathematicians have introduced new sets of numbers besides ...

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