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Towards Mathematical Philosophy: Papers from the Studia Logica conference Trends in Logic IV (Trends in Logic, 28),Used
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area and in applications to linguistics, formal epistemology, and the study of norms. The second contains papers on nonclassical and manyvalued logics, with an eye on applications in computer science and through it to engineering. The third concerns the logic of belief management,whichis likewise closely connected with recent work in computer science but also links directly with epistemology, the philosophy of science, the study of legal and other normative systems, and cognitive science. The grouping is of course rough, for there are contributions to the volume that lie astride a boundary; at least one of them is relevant, from a very abstract perspective, to all three areas. We say a few words about each of the individual chapters, to relate them to each other and the general outlook of the volume. Modal Logics The ?rst bundle of papers in this volume contains contribution to modal logic. Three of them examine general problems that arise for all kinds of modal logics. The ?rst paper is essentially semantical in its approach, the second prooftheoretic, the third semantical again: Commutativity of quanti?ers in varyingdomain Kripke models,by R. Goldblatt and I. Hodkinson, investigates the possibility of com tation (i.e. reversing the order) for quanti?ers in ?rstorder modal logics interpreted over relational models with varying domains. The authors study a possibleworlds style structural model theory that does not v idate commutation, but satis?es all the axioms originally presented by Kripke for his familiar semantics for ?rstorder modal logic.
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