This volume contains a collection of articles applying methods of logic or, more generally, of mathematics to solve problems, some of which come from logic itself, others from other sciences. Its range of subjects is far from complete, but broadly representative.
The first group of papers in this volume consists of 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 deals with Many-valued logics - an extensive domain of strictly logical investigations rooting in philosophical questions concerning the nature of logical values. Logical investigations in cognitive science have successfully utilized methods and systems of belief revision, non-monotonic logic and dynamic epistemic logic. Towards Mathematical Philosophy deals with focal issues of belief revision. The volume concludes with 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, such as those concerning anti-realism, skepticism, theory comparison and theory choice, justification, sources of knowledge and learning theories.
Author(s): David Makinson, Jacek Malinowski, Heinrich Wansing (eds.)
Series: Trends in Logic 28
Publisher: Springer
Year: 2009
Language: English
Pages: 350
Tags: Mathematical Logic and Foundations; Logic; Arithmetic and Logic Structures; Computational Linguistics; Mathematical Logic and Formal Languages; Order, Lattices, Ordered Algebraic Structures
Front Matter....Pages i-xiii
From Logic to Mathematical Philosophy....Pages 1-7
Commutativity of Quantifiers in Varying-Domain Kripke Models....Pages 9-30
The Method of Tree-Hypersequents for Modal Propositional Logic....Pages 31-51
All Splitting Logics in the Lattice NExt (KTB)....Pages 53-67
A Temporal Logic of Normative Systems....Pages 69-106
Reasoning with Justifications....Pages 107-123
Monotone Relations, Fixed Points and Recursive Definitions....Pages 125-164
Processing Information from a Set of Sources....Pages 165-186
The Classical Model Existence Theorem in Subclassical Predicate Logics I....Pages 187-199
Weak Implicational Logics Related to the Lambek Calculus—Gentzen versus Hilbert Formalisms....Pages 201-212
Faithful and Invariant Conditional Probability in Łukasiewicz Logic....Pages 213-232
A Fuzzy Logic Approach to Non-Scalar Hedges....Pages 233-248
The Procedures for Belief Revision....Pages 249-268
Shifting Priorities: Simple Representations for Twenty-Seven Iterated Theory Change Operators....Pages 269-296
The Coherence of Theories—Dependencies and Weights....Pages 297-318
On Meta-Knowledge and Truth....Pages 319-343
