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.
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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.
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