In 1937 Marshall Stone extended his celebrated representation theorem for Boolean algebras to distributive lattices. In modern terminology, the representing topological spaces are zero-dimensional stably compact, but typically not Hausdorff. In 1970, Hilary Priestley realised that Stone’s topology could be enriched to yield orderdisconnected compact ordered spaces. In the present paper, we gene...

N4-lattices are the algebraic semantics of paraconsistent Nelson logic, which was introduced in [1] as an inconsistency-tolerant counterpart of the better-known logic of Nelson [7, 13]. Paraconsistent Nelson logic combines interesting features of intuitionistic, classical and many-valued logics (e.g., Belnap-Dunn four-valued logic); recent work has shown that it can also be seen as one member o...

We develop a Priestley-style duality theory for different classes of algebras having a bilattice reduct. A similar investigation has already been realized by B. Mobasher, D. Pigozzi, G. Slutzki and G. Voutsadakis, but only from an abstract category-theoretic point of view. In the present work we are instead interested in a concrete study of the topological spaces that correspond to bilattices a...

Scientific Events: Special Articles: The Faculty of Medicine of Paris; Revision of the The Distribution of American Men of Science in International Electrical Units; The Priestley Lec19 92: DR. J. MCKEENCATTELL 264....................264 tures at the Pennsylvania State College; The Sixteenth Session of the International Geological Scince News .....................................8 Congress .......

Traditionally in natural duality theory the algebras carry no topology and the objects on the dual side are structured Boolean spaces. Given a duality, one may ask when the topology can be swapped to the other side to yield a partner duality (or, better, a dual equivalence) between a category of topological algebras and a category of structures. A prototype for this procedure is provided by the...

ALTHOUGH none of the work done by the eighteenth-century scientists forms a direct link with anaesthesia, yet knowledge of any kind is bound to influence the future. The discovery of gases in the second half of the century was not only of profound consequence to chemistry, but also to medicine and the world. In order to understand how the discovery of anaesthesia is placed in history, it is nec...