New Articulations of the Theory of Oppositions
Seventh World Congress on the Square of Opposition
Series: Studies in Universal Logic;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 13 June 2026
- ISBN 9783032130662
- Binding Hardback
- No. of pages290 pages
- Size 235x155 mm
- Language English
- Illustrations VI, 290 p. 101 illus., 31 illus. in color. 700
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Long description:
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This proceedings volume stems from the 7th World Congress on the Square of Opposition, which took place in Leuven, Belgium, in September 2022, after the previous editions in Montreux, Switzerland in 2007, Corté, Corsica, in 2010, Beirut, Lebanon in 2012, Vatican City in 2014, Easter Island in 2016, and Crete in 2018. This interdisciplinary event gathered logicians, philosophers, mathematicians, semioticians, theologians, cognitivists, artists, and computer scientists.
Table of Contents:
Chapter 1. Multidimensional oppositions in Flatland.- Chapter 2. Nelson’s Logical Diagrams.- Chapter 3. Internal Logics of Logical Hexagons in 3-Oppositional Quadrisimplexes.- Chapter 4. A hexagon of opposition to clarify Kant’s two dichotomies: Analytic/synthetic — a priori/a posteriori.- Chapter 5. On the Uniqueness of the Contrary.- Chapter 6. Logic meets Semiotics: From Greimas’ square to the structure of semantic universes.- Chapter 7. Theories of opposites before Aristotle.- Chapter 8. Defining Universal logic as composed by a logical structure of two kinds of square of opposition and their mutual translations.- Chapter 9. Two Octagons of Opposition for a Variety of Theisms and Atheisms.- Chapter 10. Tetrahedron of Oppositions: A study in non-classical logics.- Chapter 11. Three Notions of Contingency – Some Historical Considerations.- Chapter 12. Squares, Octagons, Hexadecagons, and Beyond: The Intuitionistic Case.- Chapter 13. Approximating to Universal Logic: Combining Different Kinds of Modalities in One Formal Axiomatic Theory Modeled Graphically by the Opposition-Square-and-Hexagon.- Chapter 14. Ontological Neutrality: The Square of Opposition and Abstract Model Theory.- Chapter 15. Intensional and extensional semantics for apodeictic syllogistics.
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