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 ...

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 ...

Did quadratic equations exist when the dinosaurs were around, or did they only come into being with the arrival of theorem-creating humanity? That’s an odd question, admittedly, but it’s one you might ...

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 ...

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, ...

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 ...