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 ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

You might think that once a theorem has been proved that would be the end of it. I mean, is there possibly any value in having another proof of something? A new proof certainly doesn't make a theorem ...

The mathematical concepts behind the “fundamental lemma,” as postulated by Robert P. Langlands and proven by Ngo Bao Chau, are exceedingly difficult to explain. So much so that when asked, many top ...

A theorem is a proposition that has been or is to be proved on the basis of explicit assumptions. What is the difference between a theorem and a lemma? A theorem is a proposition that has been or is ...