Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. This set of 21 games taught ...

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.

A formal logical system rests on foundational truths, known as axioms, which are so self-evident they require no proof. It then uses rules of inference to deduce further true assertions.

when thinking about logical agents, we imagine that the agent has a knowledge base (KB for short) that contains logical sentences that describe the state of the world you could think of a KB as a ...

Royal Society, January 20.—The following papers were read:— “On the mechanical performance of logical inference,” by W. Stanley jevonS, M.A. Lond., Professor ...