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 ...

Seemingly simple games can serve as thought-provoking exercises in mathematical logic. They can provide deep insights into subtle issues that confront logicians who are interested in the foundations ...

The intersection of machine learning and mathematical logic — spanning computer science, pure mathematics, and statistics — has catalyzed recent advances in artificial intelligence and deep learning ...

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

This paper is an introduction to the mathematical theory of arbitrage. Examples of the graph-theoretic mathematics of arbitrage are given in economics, electrical circuit theory (Kirchhoff's voltage ...

The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued quarterly. Volume 71, being published during 2006, will consist of ...

Originally published on Sept. 25, 2018. In a world of divisive politics, rhetoric and debate, author Eugenia Cheng has the secret to winning an argument: mathematical logic. Cheng, a mathematician and ...

In 1855, Charles L. Dodgson became the mathematical lecturer at Christ Church College in the University of Oxford, UK. His job was to prepare Christ Church men (for it was all men) to pass ...