This is a preview. Log in through your library . Abstract This paper studies the expressive power that an extra first order quantifier adds to a fragment of monadic second order logic, extending the ...

We solve a problem of Friedman by showing the existence of a logic stronger than first-order logic even for countable models, but still satisfying the general compactness theorem, assuming e.g. the ...

DeepMind is pushing artificial intelligence into one of the hardest arenas in science, building a system that can navigate ...

Logic and geometric representations constitute an interdisciplinary framework that merges formal logical systems with spatial and diagrammatic structures. This field encompasses the study of classical ...

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 ...

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 ...