《Philosophy of Logic》

The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Lowenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. It is written by leading logicians and philosophers. The book offers a comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic. It also offers clear, in-depth expositions of technical detail. It features progressive organization from general considerations to informal to symbolic logic to nonclassical logics, and presents current work in symbolic logic within a unified framework. This book is accessible to students, engaging for experts and professionals. It also offers insightful philosophical discussions of all aspects of logic, and useful bibliographies in every chapter.