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Trends in Logic

Logical Studies of Paraconsistent Reasoning in Science and Mathematics

Editors: Andreas, Holger, Verdée, Peter (Eds.)

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  • 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
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eBook $89.00
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  • ISBN 978-3-319-40220-8
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Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-40218-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-319-82056-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

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.

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)​

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-40220-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-40218-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-319-82056-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Logical Studies of Paraconsistent Reasoning in Science and Mathematics
Editors
  • Holger Andreas
  • Peter Verdée
Series Title
Trends in Logic
Series Volume
45
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-40220-8
DOI
10.1007/978-3-319-40220-8
Hardcover ISBN
978-3-319-40218-5
Softcover ISBN
978-3-319-82056-9
Series ISSN
1572-6126
Edition Number
1
Number of Pages
VI, 221
Number of Illustrations
5 b/w illustrations
Topics