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.
Author(s): Gil Sagi, Jack Woods (eds.)
Publisher: Cambridge University Press
Year: 2021
Language: English
Pages: 304
Tags: logicality, semantic approach, natural language
Cover
Summary
Title Page
Contents
Figures
Tables
Contributors
Acknowledgements
The Semantic Conception of Logic: Problems and Prospects
Part I: Invariance Criteria for Logicality
1 Invariance and Logicality in Perspective
2 The Problem of Logical Constants and the Semantic Tradition: From Invariantist Views to a Pragmatic Account
3 The Ways of Logicality: Invariance and Categoricity
4 Invariance without Extensionality
5 There Might Be a Paradox of Logical Validity after All
Part II: Critiques and Applications of the Semantic Approach
6 Semantic Perspectives in Logic
7 Overgeneration in the Higher Infinite
8 Propositional Logics of Truth by Logical Form
9 Reinterpreting Logic
Part III: Logic and Natural Language
10 Models, Model Theory, and Modeling
11 On Being Trivial: Grammar vs. Logic
12 Grammaticality and Meaning Shift
Bibliography
Index
