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Philosophy of Logic - 1st Edition - ISBN: 9780444515414, 9780080466637

Philosophy of Logic

1st Edition

Series Editors: Dov M. Gabbay Paul Thagard John Woods
Series Volume Editor: Dale Jacquette
eBook ISBN: 9780080466637
Hardcover ISBN: 9780444515414
Imprint: North Holland
Published Date: 19th October 2006
Page Count: 1218
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Table of Contents

General Preface (Dov Gabbay, Paul Thagard and John Woods)


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)

Hilbert's Program Then and Now (Richard Zach)

Logicism and its Contemporary Legacy (Herbert Hochberg)

Classical Logic's Coming of Age (John W. Dawson, Jr.)

Infinity (Peter Fletcher)

Löwenheim-Skolem Theorems (Heinz-Dieter Ebbinghaus)

The Mathematics of Skolem's Paradox (Timothy Bays)

Objectual and Substitutional Interpretations of the Quantifiers (Michael Hand)

Many-Valued Logics (Siegfried Gottwald)

Relevance Logics (Katalin Bimbó)

Paraconsistent Lgoics and Paraconsistency (Newton C.A. da Costa, Otávio Bueno and Décio 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)



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.

Key Features

  • 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


Researchers, libraries


No. of pages:
© North Holland 2006
19th October 2006
North Holland
eBook ISBN:
Hardcover ISBN:


"The volume contains a vast array of goodies brought together in a nice package. It is likely to become and important sourcebook. Separate bibliographies are included for each essay...Recommended [for] graduate students and above."

- F. Wilson, University of Toronto in CHOICE, September 2007

Ratings and Reviews

About the Series Editors

Dov M. Gabbay

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.

Affiliations and Expertise

King's College London, UK

Paul Thagard

Affiliations and Expertise

University of Waterloo, Canada

John Woods

Affiliations and Expertise

University of British Columbia, Vancouver, Canada

About the Series Volume Editor

Dale Jacquette

Affiliations and Expertise

The Pennsylvania State University, University Park, U.S.A