Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

In ancient Greece, Euclid showed that if you agree on a small list of preliminary principles, or axioms, you can use deductive reasoning to reveal all sorts of new mathematical truths. But although ...

Yesterday I was doing some literature review for an article I’m writing about my inverted transition-to-proof class, and I got around to reading a paper by Guershon Harel and Larry Sowder¹ about ...

The race is on to develop an artificial intelligence that can do pure mathematics, and top mathematicians just threw down the gauntlet with an exam of actual, unsolved problems that are relevant to ...

Forbes contributors publish independent expert analyses and insights. Anisha Sircar is a journalist covering tech, finance and society. This voice experience is generated by AI. Learn more. This voice ...

Why proofs matter: They connect precise definitions with logical reasoning, helping you understand and apply the properties of discrete structures. Core skillset: Combines formal logic, structured ...