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El. knyga: Square of Opposition: A Cornerstone of Thought

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  • Formatas: EPUB+DRM
  • Serija: Studies in Universal Logic
  • Išleidimo metai: 10-Mar-2017
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783319450629
  • Formatas: EPUB+DRM
  • Serija: Studies in Universal Logic
  • Išleidimo metai: 10-Mar-2017
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783319450629

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This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world. The papers range from historical considerations to new mathematical developments of the theory of opposition including applications to theology, theory of argumentation and metalogic.

Part I Introduction.- Part II Historical Perspectives on the Square.- Part III Reinterpretations of the Square.- Part IV Philosophical Perspectives on the Square.- Part V Theoretical Investigations on the Square.- Part VI Expansions and Variations of the Square.- Part VII Applications of the Square.
Part I Introduction
The Square of Opposition: A Cornerstone of Thought
3(10)
Jean-Yves Beziau
Gianfranco Basti
Welcome Address to the Participants of the IV International Congress on: The Square of Opposition Vatican City, PUL, May 5--9, 2014
13(8)
Monsignor Enrico Dal Covolo
Part II Historical Perspectives on the Square
The Proto-exposition of Aristotelian Categorical Logic
21(14)
Manuel Correia
The Modal Octagon and John Buridan's Modal Ontology
35(18)
Spencer Johnston
From Aristotle's Square of Opposition to the "Tri-unity's Concordance": Cusanus Non-classical Reasoning
53(28)
Antonino Drago
Part III Reinterpretations of the Square
Symmetric Properties of the Syllogistic System Inherited from the Square of Opposition
81(24)
Bora I. Kumova
The Square of Opposition Interpreted with a Decidable Modal Logic
105(14)
Paul Weingartner
Two Standard and Two Modal Squares of Opposition
119(26)
Jiri Raclavsky
Part IV Philosophical Perspectives on the Square
The Many Faces of Inconsistency
145(24)
Bobenrieth M. Andres
Aristotle, Frege and "Second Nature"
169(10)
Raffaela Giovagnoli
Philip Larrey
There Is No Cube of Opposition
179(18)
Jean-Yves Beziau
Part V Theoretical Investigations on the Square
The Unreasonable Effectiveness of Bitstrings in Logical Geometry
197(18)
Hans Smessaert
Lorenz Demey
An Arithmetization of Logical Oppositions
215(24)
Fabien Schang
Groups, Not Squares: Exorcizing a Fetish
239(14)
Walter Carnielli
Part VI Expansions and Variations of the Square
From the Square to Octahedra
253(20)
Jose David Garcia-Cruz
Iconic and Dynamic Models to Represent "Distinctive" Predicates: The Octagonal Prism and the Complex Tetrahedron of Opposition
273(18)
Ferdinando Cavaliere
The Exact Intuitionistic Meaning of the Square of Opposition
291(16)
Joseph Vidal-Rosset
Part VII Applications of the Square
The Ontological Modal Collapse as a Collapse of the Square of Opposition
307(8)
Christoph Benzmuller
Bruno Woltzenlogel Paleo
Fuzzy Eubouliatic Logic: A Fuzzy Version of Anderson's Logic of Prudence
315(10)
Gert-Jan C. Lokhorst
Why Care beyond the Square? Classical and Extended Shapes of Oppositions in Their Application to "Introspective Disputes"
325
Sascha Benjamin Fink