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 Löwenheim-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.
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Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.
The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. The book brings together newly commissioned articles on state of the art research in contemporary philosophy of logic, organized according to a plan that encourages readers to explore the technical details of new developments in symbolic logic while keeping philosophical aspects of logic in sharp focus. The essays include work by some of the most prominent logicians, mathematicians and set theorists currently working in the field, covering topics that include the nature of logic and its implications for philosophy, as well as detailing specific formal theories in all major branches of the subject. 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
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