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 ...

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 ...

INFINITY is a concept that is easy to think about, but hard to understand. Who hasn’t looked up at the night sky and wondered whether space goes on forever? Is it an endless expanse, or does it ...

It’s a complaint many algebra teachers are familiar with, as more letters and symbols are introduced with progressively harder courses in mathematics. But why did the plus symbol emerge as the ...

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