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Contradictions, from Consistency to Inconsistency

  • Walter Carnielli
  • Jacek Malinowski

Part of the Trends in Logic book series (TREN, volume 47)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Walter Carnielli, Jacek Malinowski
    Pages 1-9
  3. Jonas R. Becker Arenhart
    Pages 11-31
  4. Luis Estrada-González, María del Rosario Martínez-Ordaz
    Pages 33-51
  5. Michèle Friend, María del Rosario Martínez-Ordaz
    Pages 53-88
  6. Eduardo Barrio, Federico Pailos, Damian Szmuc
    Pages 89-108
  7. David Gaytán, Itala M. Loffredo D’Ottaviano, Raymundo Morado
    Pages 109-138
  8. Mirna Džamonja, Marco Panza
    Pages 159-182
  9. Rodrigo A. Freire
    Pages 183-205
  10. Olivier Rioul, José Carlos Magossi
    Pages 213-240
  11. Marcelo Finger
    Pages 241-271
  12. Walter Carnielli, Hugo Luiz Mariano, Mariana Matulovic
    Pages 273-305
  13. Sérgio Marcelino, Carlos Caleiro, Umberto Rivieccio
    Pages 307-322

About this book

Introduction

This volume investigates what is beyond the Principle of Non-Contradiction. It features 13 papers on the foundations of reasoning, including logical systems and philosophical considerations. Coverage brings together a cluster of issues centered upon the variety of meanings of consistency, contradiction, and related notions. 

Most of the papers, but not all, are developed around the subtle distinctions between consistency and non-contradiction, as well as among contradiction, inconsistency, and triviality, and concern one of the above mentioned threads of the broadly understood non-contradiction principle and the related principle of explosion. Some others take a perspective that is not too far away from such themes, but with the freedom to tread new paths. 

Readers should understand the title of this book in a broad way,because it is not so obvious to deal with notions like contradictions, consistency, inconsistency, and triviality. The papers collected here present groundbreaking ideas related to consistency and inconsistency.

Keywords

Principle of Explosion Paraconsistent Logics Logics of Formal Inconsistency Consistency Inconsistency Logic for Computer Science Logic and Philosophy of Science Negation Contradictions

Editors and affiliations

  • Walter Carnielli
    • 1
  • Jacek Malinowski
    • 2
  1. 1.Department of Philosophy, Centre for Logic, Epistemology and the History of ScienceUniversity of Campinas-UnicampCampinasBrazil
  2. 2.Institute of Philosophy and SociologyPolish Academy of SciencesWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-98797-2
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-98796-5
  • Online ISBN 978-3-319-98797-2
  • Series Print ISSN 1572-6126
  • Series Online ISSN 2212-7313
  • Buy this book on publisher's site