Kurt Gödel, the man who ruined mathematics, was one of the most important thinkers of the 20th century. He was born in 1906, smack-bang in the middle of the greatest crisis that maths has ever known.

Large language models (LLMs) have astounded the world with their capabilities, yet they remain plagued by unpredictability and hallucinations – confidently outputting incorrect information. In ...

James is a published author with multiple pop-history and science books to his name. He specializes in history, space, strange science, and anything out of the ordinary.View full profile James is a ...

See more of our trusted coverage when you search. Prefer Newsweek on Google to see more of our trusted coverage when you search. The old adage goes that if you give an infinite number of monkeys an ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Where do you go if you are not at school, work or home? For some, the answer is, well, nowhere. With the growing cost of living, the prevalence of social media and the residual social-distancing ...

Consider lunch. Perhaps a nice ham sandwich. A knife should neatly halve the ham and two bread slices. But what if you slip? Oops—the ham now rests folded under a ...

The Binomial test, sometimes referred to as the Binomial exact test, is a test used in sampling statistics to assess whether a proportion of a binary variable is equal to some hypothesized value. In ...

On June 23, 1993, the mathematician Andrew Wiles gave the last of three lectures detailing his solution to Fermat’s last theorem, a problem that had remained unsolved for three and a half centuries.

The Pythagorean Theorem—discovered by the Greek mathematician Pythagoras in the 6th century BCE—is a cornerstone of mathematics. Simply stated as a 2 + b 2 = c 2, the theorem posits that the sum of ...

Two high school students say they’ve proved the Pythagorean theorem using trigonometry — a feat mathematicians thought was impossible. While the proof still needs to be scrutinized by mathematicians, ...