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 ...

This is a preview. Log in through your library . Abstract An example of finite tree $M_{o}$ is presented such that its predicate logic (i.e. the intermediate ...

Catalog description: Introduction to deductive logic. Topics include: basic concepts of deductive logic; techniques of formal proof in propositional and predicate logic. 3 units. Prerequisites: No ...

Vol. 125, No. 1/2, Festschrift in Honor of Newton C. A. Da Costa on the Occasion of His Seventieth Birthday (Oct. - Nov., 2000), pp. 233-245 (13 pages) We recently showed that it is possible to deal ...

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

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 ...