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 ...

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There are in fact two separate assumptions: “infinitely big” and “infinitely small.” By infinitely big, I mean that space can have infinite volume, that time can continue forever, and that there can ...

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