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 ...

The journal explores symbolic logic and foundations of mathematics relevant to the philosophy and methodology of science; and those facets of the ethics, history and sociology of science which are ...

This is a preview. Log in through your library . Abstract Mathematics as a logic system has been deemphasized over the years, particularly in introductory courses. There has been diminished emphasis ...

The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to ...

Princeton Logic Group Recent Papers A. D'Arienzo, V. Pagano, and I. Johnson. 2020. "The 2-categorical structure of predicate theories" arXiv:2011.14056 D. Berntson. Completeness for a new logic of ...

For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning. Are they ready for artificial intelligence?

Mathematicians know what mathematics is but have difficulty saying it. I have heard: Mathematics is the craft of creating new knowledge from old, using deductive logic and abstraction.

Participants at this year’s Joint Mathematics Meetings explored everything from the role of A.I. to the hyperbolic design of a patchwork denim skirt.