Description 
1 online resource (x, 379 pages) 
Series 
Studies in universal logic 

Studies in universal logic.

Contents 
Part 1. Historical and Critical Aspects of the Square  The New Rising of the Square of Opposition / JeanYves Béziau  Logical Oppositions in Arabic Logic: Avicenna and Averroes / Saloua Chatti  Boethius on the Square of Opposition / Manuel Correia  Leibniz, Modal Logic and Possible World Semantics: The Apulean Square as a Procrustean Bed for His Modal Metaphysics / JeanPascal Alcantara  Thinking Outside the Square of Opposition Box / Dale Jacquette  John Buridan's Theory of Consequence and His Octagons of Opposition / Stephen Read  Why the Fregean "Square of Opposition" Matters for Epistemology / Raffaela Giovagnoli  Part 2. Philosophical Discussion around the Square of Opposition  Two Concepts of Opposition, Multiple Squares / John T. Kearns  Does a Leaking OCorner Save the Square? / Pieter A.M. Seuren  The Right Square / Hartley Slater  Oppositions and Opposites / Fabien Schang  Pluralism in Logic: The Square of Opposition, Leibniz' Principle of Sufficient Reason and Markov's Principle / Antonino Drago 

Part 3. The Square of Opposition and NonClasical Logics  The Square of Opposition in Orthomodular Logic / H. Freytes, C. de Ronde and G. Domenech  No Group of Opposition for Constructive Logics: The Intuitionistic and Linear Cases / Baptiste Mélès  The Square of Opposition and Generalized Quantifiers / Duilio D'Alfonso  Privations, Negations and the Square: Basic Elements of a Logic of Privations / Stamatios Gerogiorgakis  Fuzzy Syllogisms, Numerical Square, Triangle of Contraries, Interbivalence / Ferdinando Cavaliere  Part 4. Constructions Generalizing the Square of Opposition  General Patterns of Opposition Squares and 2ngons / Kafat Chow  The Cube Generalizing Aristotle's Square in Logic of Determination of Objects (LDO) / JeanPierre Desclés and Anca Pascu  Hypercubes of Duality / Thierry Libert  Part 5. Applications of the Square of Opposition  How to Square Knowledge and Belief / Wolfgang Lenzen  Structures of Oppositions in Public Announcement Logic / Lorenz Demey  Logical Opposition and Collective Decisions / Srećko Kovač  A Metamathematical Model for A/O Opposition in Scientific Inquiry / Mark Weinstein 
Summary 
"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 twodimensional or multidimensional 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."Publisher's website 
Analysis 
Logic, Symbolic and mathematical 

Mathematical Logic and Foundations 
Bibliography 
Includes bibliographical references 
Subject 
Logic, Symbolic and mathematical.


Opposition, Theory of.


Inference.


Logic.

Form 
Electronic book

Author 
Béziau, JeanYves.


Jacquette, Dale.

ISBN 
3034803788 

3034803796 (electronic bk.) 

9783034803786 

9783034803793 (electronic bk.) 
