In Math, we often talk of how a function behaves as a variable approaches limits at infinity. That is, if we let “x” take on larger and larger values, what happens to the value of “y” it creates? It ...

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 decades-old rule in mathematics has just been pushed beyond its long-standing limits, opening new ground for how scientists describe the physical world. At the University of Vaasa in Finland, ...

What can baby carrots tell us about infinity? Photo by ilovebutter/flickr/CC BY 2.0 Infinity is big. Really big. As mathematician Eugenia Cheng puts it, it’s the “biggest thing there is.” In her new ...

To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth. In the course of exploring their ...

Receive emails about upcoming NOVA programs and related content, as well as featured reporting about current events through a science lens. Reviel Netz: Something which is equal to some of its parts.

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 ...

Infinity in mathematics is considered as a number and represented as ∞. It is an endlessness and limitless concept which describes something without any bound or larger than any number. Sometimes it ...

Infinite is a concept that means "there is no limit" as it reads, but it is difficult to understand its contents with the head rather than reading in a letter. Computer programmer Mark Jason Dominus ...