Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Daniel Liberto is a journalist with over 10 years of experience working with publications such as the Financial Times, The Independent, and Investors Chronicle. Robert Kelly is managing director of ...

More than three decades after Andrew Wiles proved the 350-year-old Fermat's Last Theorem, mathematicians are teaching AI to understand and verify its famously difficult proof. The goal is not to solve ...

At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...

Here's a scene from "The Royale," an episode of Star Trek: The Next Generation that aired March 27, 1989. In it, Captain Jean-Luc Picard tells his First Officer, Commander Riker, about his work in ...

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Probabilistic sums arise when aggregating random variables whose number of terms may itself be random, a scenario common in fields as diverse as insurance claims modelling, queueing theory and genomic ...