Towards mathematical philosophy: Papers from the Studia Logica conference Trends in Logic IV

The first group of papers in this volume collects contributions to pure and applied modal logic. The problems discussed here range from the structure of lattices of normal and other modal propositional logics to modal proof theory and to the semantics of quantified modal logic. The second group of papers concern Many-valued logics - an extensive domain of strictly logical investigationshaving its roots in philosophical questions concerning the nature of logical values. Logical investigations in cognitive science have successfully utilizedmethods and systems of belief revision, non-monotonic logic and dynamic epistemic logic. The volume deals with focal issues of belief revision. The volume closes with papers making contributions which may be seen to belong to the field of formal epistemology, the area applying logical, probabilistic, game-theoretic and other formal methods to problems and issues in epistemology and philosophy of science. Contains some of the highest level contributions to Logic Is the first book promoting Mathematical Philosophy as an interdisciplinary field Is a collection of articles applying methods of logic -- or more generally those of mathematics -- to solve problems from logic itself and from other sciences INDICE: 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 Lukasiewicz Logic.- A Fuzzy Logic Approach to Non-scalar Hedges.- The Procedures for Belief Revision.- Shifting Priorities: Simple Representations forTwenty-seven Iterated Theory Change Operators.- The Coherence of Theories -- Dependencies and Weights.- On Meta-knowledge and Truth.

• ISBN: 978-1-4020-9083-7
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 320
• Fecha Publicación: 01/11/2008
• Nº Volúmenes: 1
• Idioma: Inglés