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 ...

For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning. Are they ready for artificial intelligence? By Siobhan Roberts In the collection of the Getty museum ...

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 ...

This is a second course in symbolic logic. Our course presupposes you have had a first course in symbolic deductive logic, such as Sac State's PHIL 60, or CSC 28, or you have learned this material on ...