Format:
Online-Ressource (X, 379p. 152 illus., 19 illus. in color, digital)
ISBN:
9783034803793
Series Statement:
Studies in Universal Logic
Content:
1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square of Opposition -- 3 The Square of Opposition and Non-Classical Logics -- 4 Constructions Generalizing the Square of Opposition -- 5 Applications of the Square of Opposition.
Content:
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 is a very attractive theme which has been going through centuries without evaporating. 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 This book presents a collection of previously unpublished papers by high level specialists of the square from all over the world.
Note:
Description based upon print version of record
,
Around and Beyond the Square of Opposition; Preface; Contents; Contributors; Part I: Historical and Critical Aspects of the Square; The New Rising of the Square of Opposition; 1 The Square Adventure; 2 The Slater Affair (Los Angeles 1995); 3 S5 Is a Paraconsistent Logic (Fortaleza/Rio de Janeiro 1997); 4 The O-Corner (Stanford 2001); 5 Polyhedron and Polytomy of Oppositions (Neuchâchel 2003); 6 Squaring the World (2007-2011); References; Logical Oppositions in Arabic Logic: Avicenna and Averroes; 1 Introduction; 2 Avicenna's Analysis of the Logical Oppositions
,
3 Averroes' Views on the Oppositions4 Differences and Affinities Between the Three Views; 5 Conclusion; References; Boethius on the Square of Opposition; 1 The Square and the Tradition of De Interpretatione; 2 The Square and the Tradition of Prior Analytics; 3 Conclusions; References; Leibniz, Modal Logic and Possible World Semantics: The Apulean Square as a Procrustean Bed for His Modal Metaphysics; 1 Is the Apulean Square Compatible with Leibniz's Modal Metaphysics?; 2 Is the K-Distributive Axiom Compatible with Leibniz's Modal Metaphysics?
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3 The Square of Modalities from the Outlook of a Proof Theory4 Conclusion: Towards a Possible Worlds Semantics; References; Thinking Outside the Square of Opposition Box; 1 Canonical Square; Canonical Aristotelian Square of Opposition; Logical Relations in Canonical Square of Opposition; 2 Logical Memory Device and Calculation Aid; 3 Square Topological Combinatorics; AEIO Graphic Topology; 4 Graphic Equivalences and Basic Forms; Graphic Equivalents to Canonical AEIO Square 1 (Original Aristotelian Square); Noncanonical Alternative Square of Opposition 2
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Noncanonical Alternative Square of Opposition 35 Utility of the Canonical Square; 6 Graphic Limitations of the Canonical Square; 7 Square Without Inversions; 8 Case for AEIO Inversions; 9 Three Questions of Logical Interrelations; Revised and Expanded Square of Opposition with A(V) and O(V) Inversions; Diagram for Contradictory AEIO Inversions A(V) and O(V); 10 Keynes-Johnson Octagon of Opposition; 11 Intriguesting (Intriguing + Interesting) Question; Canonical Syllogism with A(V) and A(O) Inversions; Extrasyllogistic Ex Falso Quodlibet with A(V) and O(V)
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12 Vindicating the Canonical Square of Opposition for the Relations It Proposes to RepresentReferences; John Buridan's Theory of Consequence and His Octagons of Opposition; 1 The Assertoric Syllogism; 2 Aristotle's Theory of the Modal Syllogism; 3 Signification; 4 Truth and Consequence; 5 Non-normal Form; 6 Oblique Terms; 7 Modal Propositions; 8 Conclusion; References; Why the Fregean "Square of Opposition" Matters for Epistemology; 1 The Variation of the Aristotelian Square of Opposition; 2 The Priority of Judgment; 3 From Epistemology to Speech Acts; 4 Conclusion; References
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Part II: Philosophical Discussion Around the Square of Opposition
Additional Edition:
ISBN 9783034803786
Additional Edition:
Buchausg. u.d.T. Beziau, Jean-Yves, 1965 - Around and beyond the square of opposition Basel [u.a.] : Birkhäuser, 2012 ISBN 9783034803786
Language:
English
Keywords:
Mathematische Logik
;
Logisches Quadrat
;
Aufsatzsammlung
DOI:
10.1007/978-3-0348-0379-3
URL:
Volltext
(lizenzpflichtig)
Author information:
Jacquette, Dale 1953-2016
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