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.
Edited by:
Gil Sagi (University of Haifa Israel),
Jack Woods (University of Leeds)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Weight: 445g
ISBN: 9781108435543
ISBN 10: 1108435548
Pages: 304
Publication Date: 19 October 2023
Audience:
Professional and scholarly
,
Undergraduate
Format: Paperback
Publisher's Status: Active
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.
Gil Sagi is Lecturer at the University of Haifa, Israel. She has published several articles on logical consequence, the invariance criterion of logicality, and meaning in model-theoretic semantics. Jack Woods is University Academic Fellow in Mathematical Philosophy at the University of Leeds. He is the author of numerous articles and book chapters on logical consequence, the invariance criterion of logicality, and logical inferentialism.
