For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

A set of the six sides of a die matches up one-to-one with a set of red shoes, helping illustrate Georg Cantor's set theorem. Image courtesy of GBH/NOVA It can be easy to take math for granted. But ...

Is there an infinity of infinities? The question sounds almost absurd, like a child’s riddle meant to twist your brain into ...

(THE REPORTER) — Now that everyone has mini-supercomputers that pretend to be phones in their pockets, it can be challenging to get young people to learn problem-solving skills that do not involve ...

Yaroslav Sergeyev has invented a new kind of arithmetic and patented the "infinity computer" in the U.S. and Europe. Yaroslav Sergeyev, one of Russia’s most prominent mathematicians and a ...