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The Semantic Conception of Logic

The Semantic Conception of Logic

The Semantic Conception of Logic

Essays on Consequence, Invariance, and Meaning
Gil Sagi, University of Haifa, Israel
Jack Woods, University of Leeds
October 2023
Paperback
9781108435543

    This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.

    • Multidisciplinary, with contributions from leading philosophers, logicians and linguists
    • Includes both criticism and defense of the semantic tradition and its applications
    • Demonstrates the breadth and depth of the semantic conception and traces its influence in a number of different areas

    Product details

    October 2023
    Paperback
    9781108435543
    304 pages
    228 × 152 × 16 mm
    0.45kg
    Not yet published - available from February 2025

    Table of Contents

    • Introduction: The Semantic Conception of Logic: Problems and Prospects Gil Sagi and Jack Woods
    • Part I. Invariance Criteria for Logicality:
    • 1. Invariance and Logicality in Perspective Gila Sher
    • 2. The Problem of Logical Constants and the Semantic Tradition: From Invariantist Views to a Pragmatic Account Mario Gómez-Torrente
    • 3. The Ways of Logicality: Invariance and Categoricity Denis Bonnay and Sebastian G. W. Speitel
    • 4. Invariance without Extensionality Beau Madison Mount
    • 5. There Might Be a Paradox of Logical Validity After All Roy Cook
    • Part II. Critiques and Applications of the Semantic Approach:
    • 6. Semantic Perspectives in Logic Johan van Benthem
    • 7. Overgeneration in the Higher Infinite Luca Incurvarti and Salvatore Florio
    • 8. Propositional Logics of Logical Truth A.C. Paseau and Owen Griffiths
    • 9. Reinterpreting Logic Alexandra Zinke
    • Part III. Logic and Natural Language:
    • 10. Models, Model Theory, and Modeling Michael Glanzberg
    • 11. On Being Trivial: Grammar vs. Logic Gennaro Chierchia
    • 12. Grammaticality and Meaning Shift Márta Abrusán, Nicholas Asher and Tim Van de Cruys
    • Bibliography
    • Index.
      Contributors
    • Gil Sagi, Jack Woods, Gila Sher; Mario Gómez-Torrente, Denis Bonnay, Sebastian G. W. Speitel, Beau Madison Mount, Roy Cook, Johan van Benthem, Luca Incurvarti, Salvatore Florio, A. C. Paseau, Owen Griffiths, Alexandra Zinke, Michael Glanzberg, Gennaro Chierchia, Márta Abrusán, Nicholas Asher, Tim Van de Cruys