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 ...

Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also ...

Cheng (How to Bake π), a scientist in residence at the School of the Art Institute of Chicago and honorary fellow at Sheffield University, tackles some difficult concepts in this superb study of the ...

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, ...

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 ...

Albert Einstein famously said: “Two things are infinite: the universe and human stupidity. And I'm not sure about the universe.” The notion of infinity has been pondered by the greatest minds over the ...

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 ...

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 ...