Graham Priest on Dialetheism and Paraconsistency

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

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Can Başkent Thomas Macaulay Ferguson Editors

Graham Priest on Dialetheism and Paraconsistency

Outstanding Contributions to Logic Volume 18

Editor-in-Chief Sven Ove Hansson, Division of Philosophy, KTH Royal Institute of Technology, Stockholm, Sweden

More information about this series at http://www.springer.com/series/10033

Can Başkent Thomas Macaulay Ferguson •

Editors

Graham Priest on Dialetheism and Paraconsistency

123

Editors Can Başkent Department of Computer Science University of Bath Bath, UK

Thomas Macaulay Ferguson Cycorp Austin, TX, USA Saul Kripke Center New York, NY, USA

ISSN 2211-2758 ISSN 2211-2766 (electronic) Outstanding Contributions to Logic ISBN 978-3-030-25364-6 ISBN 978-3-030-25365-3 (eBook) https://doi.org/10.1007/978-3-030-25365-3 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Cover photo credit: © Steve Pyke This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Contents

1

Introduction to Graham Priest on Dialetheism and Paraconsistency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Thomas Macaulay Ferguson and Can Başkent

1

2

Modal Meinongianism: Conceiving the Impossible . . . . . . . . . . . . . Franz Berto

3

3

The Number of Logical Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ross T. Brady

21

4

Respects for Contradictions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Paul Égré

39

5

Hegel and Priest on Revising Logic . . . . . . . . . . . . . . . . . . . . . . . . Elena Ficara

59

6

Paraconsistent or Paracomplete? . . . . . . . . . . . . . . . . . . . . . . . . . . Hartry Field

73

7

Priest’s Anti-Exceptionalism, Candrakīrti and Paraconsistency . . . . . . . . . . . . . . . . . . . . . . . . . .