Computers make it possible for a mathematical proof to run as long as several thousand full-length novels combined. But human beings alone cannot verify such immense proofs. That, according to Ian ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to this ...

New computer tools have the potential to revolutionize the practice of mathematics by providing more-reliable proofs of mathematical results than have ever been possible in the history of humankind.

Question: I’ve always wondered why is it mathematics is considered the “universal language” in physics and the explanation of the natural world. What is the possibility of different civilizations ...

Chandan Singh Gughtyal has been teaching Maths in boarding schools in India for about 28 years. He has experience of working as an assistant housemaster, housemaster, resident dorm parent, and dorm ...

Over the last decade, artificial intelligence (AI) has been largely built around large language models (LLMs). These systems are based on a language and guess words in a chain in the form of tokens.

This paper presents a sequent calculus for the positive relevant logic with necessity and a proof that it admits the elimination of cut. Journal Information Studia Logica publishes original papers on ...

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 ...

Logical reasoning is a crucial skill for math success. It helps understand concepts and solve problems. This skill builds strong arguments and reduces errors. It improves problem-solving across ...