Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also ...

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 ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

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 ...

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 ...

It’s the same math that explains how, under the right conditions, the atmosphere above a barren plain can produce a roiling tornado. Merle has had enormous success taming these blowups in the ...