Der Artikel ist weiterhin als ^^OTHERCONDITION^^ verfügbar.
Autor: David Makinson
ISBN-13: 9781402090837
Einband: Buch
Seiten: 344
Gewicht: 680 g
Format: 235x155x mm
Sprache: Englisch

Towards Mathematical Philosophy

Vol.28, Trends in Logic
Papers from the Studia Logica conference Trends in Logic IV
This is the first book promoting Mathematical Philosophy as an interdisciplinary field. It is a collection of articles applying methods of logic and math to solve problems, some from logic itself, others from other sciences.
From Logic to Mathematical Philosophy.- Commutativity of Quantifiers in Varying-Domain Kripke Models.- The Method of Tree-Hypersequents for Modal Propositional Logic.- All Splitting Logics in the Lattice NExt(KTB).- A Temporal Logic of Normative Systems.- Reasoning with Justifications.- Monotone Relations, Fixed Points and Recursive Definitions.- Processing Information from a Set of Sources.- The Classical Model Existence Theorem in Subclassical Predicate Logics I.- Weak Implicational Logics Related to the Lambek Calculus-Gentzen versus Hilbert Formalisms.- Faithful and Invariant Conditional Probability in ?ukasiewicz Logic.- A Fuzzy Logic Approach to Non-Scalar Hedges.- The Procedures for Belief Revision.- Shifting Priorities: Simple Representations for Twenty-Seven Iterated Theory Change Operators.- The Coherence of Theories-Dependencies and Weights.- On Meta-Knowledge and Truth.
area and in applications to linguistics, formal epistemology, and the study of norms. The second contains papers on non-classical and many-valued 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 proof-theoretic, the third semantical again: - Commutativity of quanti?ers in varying-domain Kripke models,by R. Goldblatt and I. Hodkinson, investigates the possibility of com- tation (i.e. reversing the order) for quanti?ers in ?rst-order modal logics interpreted over relational models with varying domains. The authors study a possible-worlds 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 ?rst-order modal logic.
Editiert von: David Makinson, Jacek Malinowski, Heinrich Wansing
Dr. David Makinson is a Visiting Professor in the Department of Philosophy, Logic and Scientific Method at the London School of Economics, UK.
Autor: David Makinson
ISBN-13:: 9781402090837
ISBN: 1402090838
Verlag: Springer Netherlands
Gewicht: 680g
Seiten: 344
Sprache: Englisch
Sonstiges: Buch, 235x155x mm