These universal truths form the shared foundation upon which a great deal of rigorous and robust merit-based inquiry is ...

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 ...

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 ...

“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 ...

Question: I’ve always wondered why is it mathematics is considered the “universal language” in physics and the explanation of the natural world. What is the possibility of different civilizations ...