Skip to main content
Book cover

Logical Studies of Paraconsistent Reasoning in Science and Mathematics

  • Book
  • © 2016

Overview

  • Presents a novel, state of the art overview of the current philosophical debate on paraconsistency
  • Provides paraconsistent logic with a philosophical foundation, crossing the borders of the different schools
  • Leading experts in paraconsistent logic investigate its philosophical applicability to human reasoning

Part of the book series: Trends in Logic (TREN, volume 45)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

Keywords

About this book

This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic theories are well understood by which types of paraconsistent approaches. This volume addresses such questions from different perspectives in order to (i) obtain a representative overview of the state of the art in the philosophical debate on paraconsistency, (ii) come up with fresh ideas for the future of paraconsistency, and most importantly (iii) provide paraconsistent logic with a stronger philosophical foundation, taking into account the developments within the different schools of paraconsistency.

Reviews

“Staging Trauma: Bodies in Shadow effectively interrogates the silencing or ‘shadowing’ of female experiences of trauma and abuse within public discourse and highlights the potentiality of the performance event in bringing marginalised bodies into light. … This book offers a valuable provocation for students and scholars within the field of theatre and performance and provides a thorough introduction to contemporary trauma discourse.” (Karoline Moen, Studies in Theatre and Performance, December, 2018)​

Editors and Affiliations

  • University of British Columbia, Kelowna, Canada

    Holger Andreas

  • Institut Supérieur de Philosophie, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Peter Verdée

About the editors

Holger Andreas works as Assistant Professor at the University of British Columbia, Okanagan Campus. Before that, he held non-tenure track Assistant Professorships at LMU Munich (Munich Center for Mathematical Philosophy) and the University of Bonn. His research focuses on the logical analysis of scientific reasoning and scientific theories. His recent work addresses interrelations between non-monotonic reasoning, belief changes, and paraconsistent reasoning. Peter Verdée is assistant professor at the Université catholique de Louvain. He obtained his PhD in Philosophy at Ghent University under the supervision of Diderik Batens with a dissertation on Adaptive Logic. His research focuses on non-monotonic, paraconsistent, and relevant logics, with particular interest in inconsistent mathematics and the formalization of implications and conditionals in natural language.

Bibliographic Information

  • Book Title: Logical Studies of Paraconsistent Reasoning in Science and Mathematics

  • Editors: Holger Andreas, Peter Verdée

  • Series Title: Trends in Logic

  • DOI: https://doi.org/10.1007/978-3-319-40220-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2016

  • Hardcover ISBN: 978-3-319-40218-5Published: 15 December 2016

  • Softcover ISBN: 978-3-319-82056-9Published: 04 July 2018

  • eBook ISBN: 978-3-319-40220-8Published: 02 December 2016

  • Series ISSN: 1572-6126

  • Series E-ISSN: 2212-7313

  • Edition Number: 1

  • Number of Pages: VI, 221

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Logic, Mathematical Logic and Foundations

Publish with us