Mathematics is often seen as perfect—consistent, complete, and immune to contradiction. But in the early 20th century, a breakthrough proved that no mathematical system can ever explain everything ...

Discover how the Irrelevance Proposition Theorem explains debt's impact in corporate finance, its origin by Nobel-winning economists, and insights into its real-world applications.

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

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...

For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. Known as the Pythagorean Theorem, this ...

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 ...

A University of Tartu student has come up with a new proof of the Pythagorean theorem using origami. While folding paper is already used — even in basic school — to demonstrate the well-known ...

Thomas Jefferson’s first draft of the Declaration of Independence read: “We hold these truths to be sacred and undeniable . . . ” It was supposedly Benjamin Franklin who suggested instead announcing ...

Born in Leeds, Joe finished his Spanish degree in 2018 before becoming an English teacher to football (soccer) players and managers, as well as collaborating with various football media outlets in ...

Two teenagers made significant strides in Mathematics after proving the Pythagorean Theorem with trigonometry. Even better, the US youths provided nine solutions after presenting their previous one, ...

Two US college students discovered five new proofs of Pythagoras' theorem using trigonometry, expanding the theorem's understanding in a published study. In an remarkable academic achievement, two US ...