For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

What began as a bonus question in a high school math contest has resulted in a staggering 10 new ways to prove the ancient mathematical rule of Pythagoras' theorem. "There are no trigonometric proofs ...

Mathematics is distinguished from the sciences by the freedom it enjoys in choosing basic assumptions from which consequences can be deduced by applying the laws of logic. We call the basic ...

The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to establishing ...

“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...

Herbert Simon, the Nobel-prize winning economist, was a techno-enthusiast. In 1956 he predicted that, “within 10 years, computers would beat the world chess champion, compose ‘aesthetically satisfying ...

New computer tools have the potential to revolutionize the practice of mathematics by providing more-reliable proofs of mathematical results than have ever been possible in the history of humankind.