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  • © 2016

Paraconsistent Logic: Consistency, Contradiction and Negation

  • Is the first book in the field to offer a comprehensive overview of the subject
  • Offers insights into paraconsistent logic as a tool for reasoning under contradictoriness
  • Covers topics ranging from the history of paraconsistent logic and applications to information processing, databases, and quantum computation
  • Includes supplementary material: sn.pub/extras

Part of the book series: Logic, Epistemology, and the Unity of Science (LEUS, volume 40)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxiv
  2. Contradiction and (in)Consistency

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 1-28
  3. A Basic Logic of Formal Inconsistency: mbC

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 29-62
  4. Some Extensions of mbC

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 63-120
  5. Matrices and Algebraizability

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 121-170
  6. LFIs Based on Other Logics

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 171-236
  7. Semantics of Non-deterministic Character for LFIs

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 237-291
  8. First-Order LFIs

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 293-343
  9. Paraconsistent Set Theory

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 345-367
  10. Paraconsistency and Philosophy of Science: Foundations and Perspectives

    • Walter Carnielli, Marcelo Esteban Coniglio
    Pages 369-389
  11. Back Matter

    Pages 391-398

About this book

This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. Reasoning under contradictions constitutes one of most important and creative achievements in contemporary logic, with deep roots in philosophical questions involving negation and consistency

This book offers an invaluable introduction to a topic of central importance in logic and philosophy. It discusses (i) the history of paraconsistent logic; (ii) language, negation, contradiction, consistency and inconsistency; (iii) logics of formal inconsistency (LFIs) and the main paraconsistent propositional systems; (iv) many-valued companions, possible-translations semantics and non-deterministic semantics; (v) paraconsistent modal logics; (vi) first-order paraconsistent logics; (vii) applications to information processing, databases and quantum computation; and (viii) applications to deontic paradoxes, connections to Eastern thought and to dialogical reasoning.

 

Reviews

“This is a formal book focusing on logics of formal inconsistency (LFI). … the authors focus on various issues in philosophy of science and do a great job to exhibit the breadth and depth of LFIs. … the book is very thought-provoking, which is a great advantage of researchers. … This book is a first step to identify, understand and explore these questions.” (Can Baskent, zbMATH 1355.03001, 2017)

Authors and Affiliations

  • Dpt. of Phil. and CLE and His. of Sci., State University of Campinas –UNICA, Campinas, Brazil

    Walter Carnielli

  • Dpt. of Phil. and CLE and His. of Sci., Univ Estadual Campinas Zeferino Vaz, Campinas, Brazil

    Marcelo Esteban Coniglio

Bibliographic Information

  • Book Title: Paraconsistent Logic: Consistency, Contradiction and Negation

  • Authors: Walter Carnielli, Marcelo Esteban Coniglio

  • Series Title: Logic, Epistemology, and the Unity of Science

  • DOI: https://doi.org/10.1007/978-3-319-33205-5

  • Publisher: Springer Cham

  • eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-33203-1Published: 21 June 2016

  • Softcover ISBN: 978-3-319-81453-7Published: 30 May 2018

  • eBook ISBN: 978-3-319-33205-5Published: 14 June 2016

  • Series ISSN: 2214-9775

  • Series E-ISSN: 2214-9783

  • Edition Number: 1

  • Number of Pages: XXIV, 398

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Logic, Epistemology

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access