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 ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

When mathematician Georg Cantor first glimpsed the true nature of infinity, it changed mathematics forever. He demonstrated that infinity isn’t just endless—it exists in different sizes, each opening ...

For centuries, the concept of infinity has captivated mathematicians and philosophers alike, stretching far beyond the simple idea of endless counting. Recent groundbreaking discoveries, however, have ...

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.

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 ...

Somewhere at the edge of mathematics lurks a number so large that it breaks the very foundations of our understanding - and ...

(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 ...

In “The Great Math War,” Jason Socrates Bardi takes on a battle for the soul of numbers that divided the experts of its day. By Jordan Ellenberg Jordan Ellenberg, a professor of mathematics at the ...

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