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" Visual reasoning with diagrams "
Amirouch Moktefi, Sun-Joo Shin, editors
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BL
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| Record Number
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603869
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b433088
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| Title & Author
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Visual reasoning with diagrams\ Amirouch Moktefi, Sun-Joo Shin, editors
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| Publication Statement
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Basel :: Birkhäuser,, 2013
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| Series Statement
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Studies in universal logic
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| Page. NO
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1 online resource (xv, 200 p.) :: ill. (some col.)
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| ISBN
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3034806000 (electronic bk.)
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: 9783034806008 (electronic bk.)
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9783034805995
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| Bibliographies/Indexes
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Includes bibliographical references
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| Contents
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What is a logical diagram? / Catherine Legg -- The geometry of diagrams and the logic of syllogisms / Richard Bosley -- A diagrammatic calculus of syllogisms / Ruggero Pagnan -- Beyond syllogisms: Carroll's (marked) quadriliteral diagram / Amirouche Moktefi -- A diagrammatic bridge between standard and non-standard logics: the numerical segment / Ferdinando Cavaliere -- Diagrammatic reasoning with classes and relationships / Jorgen Fischer Nilsson -- On the completeness of spider diagrams augmented with constands / Gem Stapleton...[et al.] -- A practice-based approach to diagrams / Valeria Giardino -- Figures, formulae, and functors / Zach Weber -- Representation of graphs in diagrams of graph theory / Mitsuko Wate-Mizuno
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| Abstract
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Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by Frege and Russell. Recently, we have been witnessing a revival of interest in diagrams from various disciplines - mathematics, logic, philosophy, cognitive science, and computer science. This book aims to provide a space for this newly debated topic - the logical status of diagrams - in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning
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Logic diagrams
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Philosophy
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Reasoning
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| Dewey Classification
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160
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| LC Classification
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BC199.A26.M384 2013
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BC199.A26.M384 2013
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Moktefi, Amirouche
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Shin, Sun-Joo
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Ohio Library and Information Network
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