An error in a proof underlying a widely used branch of modern mathematics was accidentally discovered by mathematicians while translating old proofs to a computer ...

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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 ...

The Axiom of Choice became one of the most unsettling concepts in modern mathematics, and the man who championed it paid a high personal price. His theories shattered long-held assumptions, creating ...

Mathematics continues to evolve rapidly and shapes everything from artificial intelligence to climate modelling. Many modern mathematicians have gained global recognition for expanding theoretical ...

Mathematics is traditionally a solitary science. In 1986 Andrew Wiles withdrew to his study for seven years to prove Fermat’s theorem. The resulting proofs are often difficult for colleagues to ...