Hallucination is fundamental to how transformer-based language models work. In fact, it's their greatest asset.

In 2024, an AI entered the fray of the International Mathematical Olympiad (IMO). Google’s AlphaProof is part of the same ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His ...

The researchers discovered that this separation proves remarkably clean. In a preprint paper released in late October, they ...

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Here's a basic example using the statement, "This true statement is not provable." If it were provable, it would be false, making logic inconsistent. If it's not provable, then it's true, but that ...

Due to high demand for this course, we operate a staged admissions process with multiple selection deadlines throughout the year, to maintain a fair and transparent approach. Explore our campus, meet ...

This is a preview. Log in through your library . Abstract The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of ...

IT is recorded that when a pupil asked Confucius what he would do first if he had absolute power, the Master replied “I should reform language”. (The development of the theme in the text of the ...