New Directions in Relevant Logic

Introduction.- Part I: Philosophical Foundations.- Chapter 1. A Hierarchy of Relevance Properties.- Chapter 2. A Topic-Theoretic Perspective on Variable-Sharing (from the Black Sheep of the Family).- Chapter 3. Withered Relevance.- Chapter 4. Variable-Sharing as Relevance.- Part II: Model Theory.- Chapter 5. Algorithmic Corre spondence for Relevance Logics II, Inductive Formulae in Flat Languages for Relevance Logics.- Chapter 6. Quantified Modal Rele vant Logics II, Welcome to the Neighbourhood.- Chapter 7. Semantics for Second Order Relevant Logics.- Chapter 8. Implying and Containing in Truthmaker Semantics.- Chapter 9. The Only 3-valued Logic which is a Natural Implication Expansion with the Variable Sharing Property of Kleene's Strong Logic.- Part III: Proof Theory.- Chapter 10. A Conceptual Approach to Restricted Quan tification in Relevant Logics.- Chapter 11. Fusion, Fission, and Ackermann's Truth Constant in Relevant Logics, A Proof-Theoretic Investigation.- Chapter 12. Entailment Generalized.- Chapter 13. Proofs with Star and Perp.- Chapter 14. Morphing Rules of Evaluation into Rules of Deduction: Preserving Relevance and Epistemic Gain.- Part IV: Applications.- Chapter 15. Frege meets Belnap: Basic Law V in a Relevant Logic.- Chapter 16. Explicit and Implicit Belief in First Degree Entailment With Strict Implication.- Chapter 17. Relevant Rational Arithmetic.

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• Filosofia: a lógica
• Lógica matemática

Relevant logic;Paraconsistent logic;Logical consequence;First Degree Entailment;Non-classical logic;Relevance in proof theory;Quantified modal relevant logics;Belnap-Dunn Logic;Relevance logic and the use criterion