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5.0
90 reviewsHighlights new research related to the square of opposition
Examines the theory of the square of opposition through an interdisciplinary lens. Explores the past, present, and future of the field.
This book gathers 16 papers on the square of opposition, related to the 6th World Congress on the Square of Opposition which took place at the Orthodox Academy of Crete, November 1–5, 2018.
The square of opposition is a logical structure coming from Aristotelian logic. The topic has been continuously studied for 2000 years. Even Frege, one of the founders of modern mathematical logic, has contributed to the topic. During the second half of the twentieth century, research on the topic was revived. New extensions and generalization of the square of opposition were suggested, far beyond Aristotle’s traditional logic. These advances were accompanied by different configurations (triangle, rhombus, hexagon, octagon, polyhedra, and multi-dimensional objects) that were conceived to illustrate the new theories.
These theories found exciting applications in many fields, ranging from metalogic to highway code, through economics, music, physics, color theory, and theology. The research in this field is interdisciplinary but anchored on a clear and precise logical theory, symbolized by the traditional diagram of the square of opposition.
The theory of the square of opposition is at the same time a traditional and original topic that included new interpretations of the past theories, discoveries on the logical theory, and modern applications in a variety of spheres. All these aspects are present in this book, with chapters displaying novel aspects of the theory of opposition and its variations that are embraced in a mainstream research project that revitalizes the theory of the square of opposition.
We thank all the contributors to this volume and the work of the referees who have critically analyzed the papers, leading to improved versions.
