First-Year Graduate Student Finds Paradoxical Set

Mathematicians rejoice when they prove that seemingly impossible things exist. Such is the case with a new proof posted online in March by Cédric Pilatte, a first-year graduate student at the University of Oxford. Pilatte proved that it is possible to create a set — a collection of numbers — that satisfies two apparently incompatible properties. The first is that no two pairs of numbers in the set…

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