When checking that solutions to certain problems are correct, it turns out, you can’t get around the inherent complexity of ...

For years, physicists were stuck in trying to explain an important mathematical problem in physics. The right approach ended ...

A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...

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 ...

As a physics major, it feels like I spend the majority of my waking life solving problems. I’ve calculated the amount of water you get from mixing different ratios of steam and ice, the path of ...

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 ...

When tech founders start weighing in on school subjects, students tend to pay attention. In a recent X exchange that sparked curiosity and classroom debates, Pavel Durov, founder of Telegram, shared a ...