For thousands of years, mathematicians avoided the concept of infinity. Then, in 1874, Georg Cantor published a four-page ...

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 ...

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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 ...

When Ed Scheinerman's 7-year-old granddaughter asked the question that every mathematician secretly loves—"What is the number before infinity?"—he knew he was onto something. "You're not going to like ...

Infinity is not a single concept but a hierarchy of infinities, each one larger than the last in ways that make ordinary mathematics break down completely.

A statement can be true or false. But as Kurt Gödel demonstrated, there will always be mathematical assumptions that can ...

Sometimes your gut feelings lead you astray—particularly in mathematics, in which one constantly comes across results that seem impossible. For example, infinity does not always equal infinity, and ...