You will never be able to prove every mathematical truth. For me, this incompleteness theorem, discovered by Kurt Gödel, is one of the most incredible results in mathematics. It may not surprise ...

It has long been a mystery why pure math can reveal so much about the nature of the physical world. Antimatter was discovered in Paul Dirac’s equations before being detected in cosmic rays. Quarks ...

Mathematics is full of weird number systems that most people have never heard of and would have trouble even conceptualizing. But rational numbers are familiar. They’re the counting numbers and the ...

Computer scientists established a new boundary on computationally verifiable knowledge. In doing so, they solved major open problems in quantum mechanics and pure mathematics. In 1935, Albert Einstein ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...

An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics. Mathematics is full of weird number systems that most ...