Graham Priest On Dialetheism And Paraconsistency

Description

This book presents the state of the art in the fields of formal logic pioneered by Graham Priest. It includes advanced technical work on the model and proof theories of paraconsistent logic, in contributions from top scholars in the field. Graham Priest’s research has had a considerable influence on the field of philosophical logic, especially with respect to the themes of dialetheism—the thesis that there exist true but inconsistent sentences—and paraconsistency—an account of deduction in which contradictory premises do not entail the truth of arbitrary sentences. Priest’s work has regularly challenged researchers to reappraise many assumptions about rationality, ontology, and truth. This book collects original research by some of the most esteemed scholars working in philosophical logic, whose contributions explore and appraise Priest’s work on logical approaches to problems in philosophy, linguistics, computation, and mathematics. They provide fresh analyses, critiques, and applications of Priest’s work and attest to its continued relevance and topicality. The book also includes Priest’s responses to the contributors, providing a further layer to the development of these themes. Front Matter ....Pages i-xi Introduction to Graham Priest on Dialetheism and Paraconsistency (Thomas Macaulay Ferguson, Can Başkent)....Pages 1-2 Modal Meinongianism: Conceiving the Impossible (Franz Berto)....Pages 3-19 The Number of Logical Values (Ross T. Brady)....Pages 21-37 Respects for Contradictions (Paul Égré)....Pages 39-57 Hegel and Priest on Revising Logic (Elena Ficara)....Pages 59-71 Paraconsistent or Paracomplete? (Hartry Field)....Pages 73-125 Priest’s Anti-Exceptionalism, Candrakīrti and Paraconsistency (Koji Tanaka)....Pages 127-138 Looting Liars Masking Models (Diderik Batens)....Pages 139-164 Inferential Semantics, Paraconsistency, and Preservation of Evidence (Walter Carnielli, Abilio Rodrigues)....Pages 165-187 A Model-Theoretic Analysis of Fidel-Structures for mbC (Marcelo E. Coniglio, Aldo Figallo-Orellano)....Pages 189-216 Unity, Identity, and Topology: How to Make Donuts and Cut Things in Half (A. J. Cotnoir)....Pages 217-229 Contradictory Information: Better Than Nothing? The Paradox of the Two Firefighters (J. Michael Dunn, Nicholas M. Kiefer)....Pages 231-247 Variations on the Collapsing Lemma (Thomas Macaulay Ferguson)....Pages 249-270 Dialetheic Conditional Modal Logic (Patrick Girard)....Pages 271-284 Priest on Negation (Lloyd Humberstone)....Pages 285-341 From Iff to Is: Some New Thoughts on Identity in Relevant Logics (Edwin Mares)....Pages 343-363 The Difficulties in Using Weak Relevant Logics for Naive Set Theory (Erik Istre, Maarten McKubre-Jordens)....Pages 365-381 ST, LP and Tolerant Metainferences (Bogdan Dicher, Francesco Paoli)....Pages 383-407 Annotated Natural Deduction for Adaptive Reasoning (Patrick Allo, Giuseppe Primiero)....Pages 409-437 Denotation, Paradox and Multiple Meanings (Stephen Read)....Pages 439-454 Two Negations Are More than One (Greg Restall)....Pages 455-468 Inconsistency and Incompleteness, Revisited (Stewart Shapiro)....Pages 469-479 GP’s LP (Neil Tennant)....Pages 481-506 Expanding the Logic of Paradox with a Difference-Making Relevant Implication (Peter Verdée)....Pages 507-533 On Non-transitive “Identity” (Heinrich Wansing, Daniel Skurt)....Pages 535-553 At the Limits of Thought (Zach Weber)....Pages 555-574 Some Comments and Replies (Graham Priest)....Pages 575-675 Crossing Boundaries (Graham Priest)....Pages 677-690 Back Matter ....Pages 691-704