Overview
- Exclusively dedicated to the square of oppositions
- Presenting the topic from an interdisciplinary perspective
- Of interest for mathematical logicians as well as philosophers
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Universal Logic (SUL)
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Table of contents (24 chapters)
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Front Matter
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Historical and Critical Aspects of the Square
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Front Matter
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Philosophical Discussion Around the Square of Opposition
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Front Matter
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Philosophical Discussion around the Square of Opposition
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The Square of Opposition and Non-classical Logics
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Front Matter
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The Square of Opposition and Non-Clasical Logics
Keywords
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 This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.
Editors and Affiliations
About the editors
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.
Bibliographic Information
Book Title: Around and Beyond the Square of Opposition
Editors: Jean-Yves Béziau, Dale Jacquette
Series Title: Studies in Universal Logic
DOI: https://doi.org/10.1007/978-3-0348-0379-3
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2012
Softcover ISBN: 978-3-0348-0378-6Published: 07 June 2012
eBook ISBN: 978-3-0348-0379-3Published: 10 May 2012
Series ISSN: 2297-0282
Series E-ISSN: 2297-0290
Edition Number: 1
Number of Pages: X, 379
Number of Illustrations: 133 b/w illustrations, 19 illustrations in colour
Topics: Mathematical Logic and Foundations, Logic, Mathematics, general