On a recent train trip from Lyon to Paris, Vladimir Voevodsky sat next to Steve Awodey and tried to convince him to change the way he does mathematics. Voevodsky, 48, is a permanent faculty member at ...

The claim is often made that mathematical results are immutable. Once proven, they remain forever valid. But things are not so simple. There are problems at the very core of mathematics that cast a ...

“This tattoo is the Zermelo-Fraenkel with Choice axioms of set theory. These nine axioms are the basis for ZFC set theory, which is the most commonly studied form of set theory and the most well known ...

No less a mind than Bertrand Russell, of Principia Mathematica fame, was responsible for this paradox, which opened a hole in math. It’s those barbers. The Barber Paradox shows that barbers are not to ...

Lashi Bandara is affiliated with Australian National University. These are questions I’m often confronted with when people discover I do pure mathematics. I always manage to provide an answer but it ...

When I started as a K–8 STEM coach at Amesbury Public Schools, I noticed that the math and science lessons we were teaching in elementary school weren’t vertically integrated with what we were ...

Find out why the fundamental building blocks of engineering in 2026 are mathematics and physics. Examine their fundamental ...

Early math is fraught with confusing questions: Do kids really need to know all those multiplication tables? Which should come first, math concepts or procedures? Why don’t schools pay as much ...