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A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.
Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the complexity of mathematical theories.
To tell truth from fiction, start with quantitative thinking, argues the mathematician Rebecca Goldin.
The mathematician Svitlana Mayboroda and collaborators have figured out how to predict the behavior of electrons — a mathematical discovery that could have immediate practical effects.