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 ...

The deeper mathematics goes, the stranger everything becomes. This is what the numbers actually show, and what it still ...

NOVA: How do mathematicians define infinity? Netz: Something which is equal to some of its parts. That's really the technical definition. NOVA: Is there a difference between the mathematical concept ...

INFINITY is a concept that is easy to think about, but hard to understand. Who hasn’t looked up at the night sky and wondered whether space goes on forever? Is it an endless expanse, or does it ...

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...

And I agree - somewhat - with tmatsci here: I don't believe an actual singularity exists at the center of a black hole. Firstly, on purely theoretical grounds, I don't believe any real infinities ...

As a mathematics education researcher, I study how math instruction impacts students' learning, from following standard math procedures to understanding mathematical concepts. Focusing on the latter, ...