Mathematics of Modality
by Robert Goldblatt
Publisher: CSLI Publications 1993
Number of pages: 288
Modal logic is the study of modalities - expressions that qualify assertions about the truth of statements. This volume collects together a number of the author's papers on modal logic, beginning with his work on the duality between algebraic and set-theoretic modals, and including two new articles, one on infinitary rules of inference, and the other about recent results on the relationship between modal logic and first-order logic.
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by Alexander Kurz - ESSLLI
One of the achievements of the theory of coalgebras is to make clear that some seemingly different areas are related by duality. This text explains this duality. Recent research lead to the insight that modal logic is dual to equational logic.
by Mai Gehrke, Yde Venema - ESSLLI
Apart from giving a general introduction to the fundamental ideas and methods of applying algebra in logic, the purpose of this text is to present recent developments from algebra as well as modal logic, in an integrated format.
by Gary Hardegree - UMass Amherst
Contents: Basic Concepts; Classical SL; Absolute Modal Logic - System L; Relative Modal Logic - System K; Systems Between K and L; Modal Predicate Logic; General First-Order Logic; First-Order Modal Logic; First-Order Modal Logic with Actuality...
by Evgeni Latinov - OTexts
The notions of strict, logical necessity and possibility and problems connected with them are treated in the book with the resources of modal symbolic logic. In general a balance is struck between philosophical and technical treatment of the issues.