Research in mathematics is a deeply imaginative and intuitive process. This might come as a surprise for those who are still recovering from high-school algebra. What does the world look like at the ...

Sometimes your gut feelings lead you astray—particularly in mathematics, in which one constantly comes across results that seem impossible. For example, infinity does not always equal infinity, and ...

Poker players sometimes distinguish between intuitive and mathematical play. But most interesting strategic decisions have an element of both, because the mathematical analysis depends on estimates ...