Presents the state of the art in the fields of formal logic pioneered by Graham Priest

Includes a diverse sampling of current research trends in logical approaches to philosophical problems

Demonstrates interdisciplinarity and includes both theoretical and applied results

Section I: Front Matter.- Chapter 1. Introduction Hitoshi Omori, Can Bäkent, and Thomas Macaulay Ferguson.- Chapter 2. Scientific Autobiography Graham Priest.- Section II: Paradoxes, Consistency, and Dialetheism.- Chapter 3. Priest on Paradoxes of Truth and Sets Hartry Field.- Chapter 4. Denotation and Paradox Stephen Read.- Chapter 5. Why Are There Paradoxes?: Priest Inclosures, Lawvere Fixed Points, and the Inconsistency of the World Zach Weber.- Chapter 6. Comprehension, Fixed Points and Paradox Greg Restall.- Chapter 7. Inconsistency, Completeness, and Reflection Stewart Shapiro.- Chapter 8. Contradictory Information: Sometimes Better Than Nothing J. Michael Dunn.- Chapter 9. Into the Epistemological Suppositions of Dialetheism Diderik Batens.- Section III: Metaphysics, Ontology, and Noneism.- Chapter 10. On Unity and Oneness Aaron Cotnoir.- Chapter 11. Modal Meinongianism and the Logic of Intentionality Francesco Berto.- Chapter 12. On Non-Transitive ' Identity ' Heinrich Wansing.- Chapter 13. The Number of Logical Values Ross Brady.- Chapter 14. What Could Be a Falsity Maker for the Principle of Non-Contradiction ? Walter Carnielli and Abilio Rodrigues.- Chapter 15. Dialethic Modal Logic Patrick Girard.- Chapter 16. Propositional Surrogates and Quantifiers Marcelo Coniglio.- Section IV: Meaning, Language, and Logic.- Chapter 17. Consistency and Non-Triviality as Success-Words: Two Perspectives Patrick Allo.- Chapter 18. Assertion, Denial, and the Meaning of Connectives Francesco Paoli.- Chapter 19. Radical Foundations and Verbal Disputes Toby Meadows.- Chapter 20. Ambivalence and Contradiction Paul Egré.- Chapter 21. Hegel and Priest on Revising Logic Elena Ficara.- Chapter 22. Logic is Belief Revision Koji Tanaka.- Chapter 23. Priest on Negation Lloyd Humberstone.- Chapter 24. Deviating from Classical Logic Leon Horsten.- Chapter 25. Logics Need No Passport ! João Marcos.- Section V: Proof Theory, Model Theory, and Paraconsistency.- Chapter 26. On Core Logic Neil Tennant.- Chapter 27. Cut Elimination in Contraction Free Logics Maarten McKubre-Jordens and Erik Istre.- Chapter 28. Annotated Natural Deduction for Adaptive Reasoning Giuseppe Primiero.- Chapter 29. Plurivalence and Paraconsistency by Default Thomas Macaulay Ferguson.- Chapter 30. Implication in LP Barteld Kooi and Allard Tamminga.- Chapter 31. Game Semantics for LPs Can Bäkent.- Chapter 32. Relevance and Dialetheism: Separating Truth and Consequences Edwin Mares.- Chapter 33. Relevant Entailment and Deductive Implication for Dialetheists Peter Verdée.- Section VI: Back Matter.- Chapter 34. Replies to Contributions Graham Priest.- Chapter 35. Bibliography of Graham Priest's Work in Logic.