In 1907, the English author and mathematician Henry Ernest Dudeney posed a puzzle: Can any equilateral triangle be cut into ...

What shapes are made by a spinning needle? This seemingly innocent problem has puzzled mathematicians for decades, but now a ...

By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of ...

Based on your answers, you still need to get language proof to submit with your application. If you think you can speak and understand English or French well enough to apply for citizenship, you can ...

This new formal verification framework and proof developed by the University of Oxford, the University of Cambridge, and lowRISC takes the formal specification for CHERIoT — written in Sail — and ...

Google’s AlphaGeometry2 AI reaches the level of gold-medal students in the International Mathematical Olympiad ...

This new formal verification framework and proof developed by the University of Oxford, the University of Cambridge, and lowRISC takes the formal specification for CHERIoT — written in Sail ...

Basically, AlphaGeometry2’s Gemini model suggests steps and constructions in a formal mathematical ... theorems and proofs of varying complexity. The DeepMind team selected 45 geometry problems ...

The team notes that these proofs often show unexpected creativity. Compared to the previous version of AlphaGeometry, many enhancements and optimizations have been made in the new version. These ...

LogiCola helps you learn logic. This is a web version of the original software built by the late Professor Harry Gensler.