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Around and beyond the square of opposition / Jean-Yves Béziau, Dale Jacquette, editors

データ種別 電子書籍
出版者 Basel ; New York : Birkhäuser
出版年 c2012

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URL オンライン

EB2113063


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書誌ID OB01023434
本文言語 英語
一般注記 Includes bibliographical references
Part 1: Historical and critical aspects of the square. The new rising of the square of opposition / Jean-Yves 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 / Jean-Pascal 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 o-corner 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 / Antonio Drago. Part 3: The square of opposition and non-classical 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, inter-bivalence / Ferdinando Cavaliere. Part 4: Constructions generalizing the square of opposition. General patterns of opposition squares and 2n-gons / Ka-fat Chow ; The cube generalizing Aristotle's square in logic of determination of objects (LDO) / Jean-Pierre 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.
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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 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." -- Publisher's website
著者標目 Béziau, Jean-Yves
Jacquette, Dale
統一書名標目 Studies in universal logic.
件 名 LCSH:Logic, Symbolic and mathematical
LCSH:Opposition, Theory of
LCSH:Inference
分 類 LCC:BC135
DC:160
巻冊次 ISBN:9783034803786 RefWorks出力(各巻)
ISBN:3034803788 RefWorks出力(各巻)
資料種別 機械可読データファイル
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