To understand logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges.
To understand logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges.
1. Introduction 2. The Semantic Definition of Logical Consequence and its Roots in Tarski 3. Solution to the Challenges of Necessity, Formality, and Logicality 4. Philosophical Perspective on Logicality and Other Significant Matters 5. Criticisms of the Semantic Definition of Logical Consequence 6. Criticisms of the Isomorphism-Invariance Criterion of Logicality 7. Conclusion.
1. Introduction 2. The Semantic Definition of Logical Consequence and its Roots in Tarski 3. Solution to the Challenges of Necessity, Formality, and Logicality 4. Philosophical Perspective on Logicality and Other Significant Matters 5. Criticisms of the Semantic Definition of Logical Consequence 6. Criticisms of the Isomorphism-Invariance Criterion of Logicality 7. Conclusion.
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