Handbook of the philosophy of science ; [5]: Philosophy of logic General Preface (Dov Gabbay Paul Thagard and John Woods) Preface List of Contributors Introduction: Philosophy of Logic Today (Dale Jacquette) What is Logic (Jaakko Hintikka and Gabriel Sandu) The Scope and Limits of Logic (Wilfrid Hodges) Logic in Philosophy (Johan van Benthem) Informal Logic and the Concept of Argument (David Hitchcock) On the Relation of Informal to Symbolic Logic (Dale Jacquette) Vagueness and the Logic of Ordinary Language (Roy A. Sorensen) Logic and Semantic Analysis (Ernest Lepore and Matthew Stone) Justificatory Irrelevance of Formal Semantics (Charles F. Kielkopf) A Brief History of Truth (Stewart Candlish and Nic Damnjanovic) Truth and Paradox: A Philosophical Sketch (J.C. Beall) Hilberts Program Then and Now (Richard Zach) Logicism and its Contemporary Legacy (Herbert Hochberg) Classical Logics Coming of Age (John W. Dawson Jr.) Infinity (Peter Fletcher) Ḻwenheim Skolem Theorems (Heinz Dieter Ebbinghaus) The Mathematics of Skolems Paradox (Timothy Bays) Objectual and Substitutional Interpretations of the Quantifiers (Michael Hand) Many Valued Logics (Siegfried Gottwald) Relevance Logics (Katalin Bimb̤) Paraconsistent Lgoics and Paraconsistency (Newton C.A. da Costa Ot̀vio Bueno and Ďcio Krause) Extensional vs Intensional Logic (Jaroslav Peregrin) Logically Possible Worlds and Counterpart Semantics for Modal Logic (Marcus Kracht and Oliver Kutz) Modal Realism and its Roots in Mathematical Realism (Charles S. Chihara) Free Logics (John Nolt) Fictions and their Logic (John Woods) Counterfactuals Causation and Preemption (John Collins) Logic Mathematics and the Natural Sciences (Neil Tennant) Default Reasoning (Nicholas Rescher) Index 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 Ḻwenheim 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 Hilberts 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. Written by leading logicians and philosophers Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic Clear in depth expositions of technical detail Progressive organization from general considerations to informal to symbolic logic to nonclassical logics Presents current work in symbolic logic within a unified framework Accessible to students engaging for experts and professionals Insightful philosophical discussions of all aspects of logic Useful bibliographies in every chapter