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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.
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.
Description
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.
