Studies in Universal Logic

Around and Beyond the Square of Opposition

Editors: Beziau, Jean-Yves, Jacquette, Dale (Eds.)

  • Exclusively dedicated to the square of oppositions
  • Presenting the topic from an interdisciplinary perspective
  • Of interest for mathematical logicians as well as philosophers
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About this book

The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory.

The square of opposition from its origin in antiquity to the present day continues to exert a profound impact on the development of deductive logic. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.

About the authors

Jean-Yves Beziau is Professor at the Federal University of Rio de Janeiro (UFRJ) and researcher of the Brazilian research council (CNPq). He has a PhD in philosopy and a PhD in mathematics. He has been working in France, Poland, Switzerland, Brazil and USA (Stanford and UCLA). He is Editor-in-Chief of the journal Logica Universalis. He has been working on the square of opposition since many years organizing world events on the subject.

 

Dale Jacquette is ordentlicher Professor für Philosophie, Abteilung Logik und theoretische Philosophie, Universität Bern, Switzerland. He studied philosophy at Oberlin College (AB 1975) and Brown University (MA 1981, PhD 1983), and has worked on a variety of formal logical and philosophical projects related especially to the concept of intentionality. His research on the square of opposition is a result of converging interests in Aristotle's philosophy, intensional predicate term logics, and historical precursors of contemporary logic.

Table of contents (24 chapters)

  • The New Rising of the Square of Opposition

    Béziau, Jean-Yves

    Pages 3-19

  • Logical Oppositions in Arabic Logic: Avicenna and Averroes

    Chatti, Saloua

    Pages 21-40

  • Boethius on the Square of Opposition

    Correia, Manuel

    Pages 41-52

  • Leibniz, Modal Logic and Possible World Semantics: The Apulean Square as a Procrustean Bed for His Modal Metaphysics

    Alcantara, Jean-Pascal

    Pages 53-71

  • Thinking Outside the Square of Opposition Box

    Jacquette, Dale

    Pages 73-92

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0379-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-0348-0378-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Around and Beyond the Square of Opposition
Editors
  • Jean-Yves Beziau
  • Dale Jacquette
Series Title
Studies in Universal Logic
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0379-3
DOI
10.1007/978-3-0348-0379-3
Softcover ISBN
978-3-0348-0378-6
Series ISSN
2297-0282
Edition Number
1
Number of Pages
X, 379
Number of Illustrations and Tables
133 b/w illustrations, 19 illustrations in colour
Topics