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Visual reasoning with diagrams

Author: Amirouche Moktefi; Sun-Joo Shin
Publisher: Heidleberg : Birkhauser, 2013.
Series: Studies in universal logic.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Amirouche Moktefi; Sun-Joo Shin
ISBN: 3034805993 9783034805995
OCLC Number: 818734590
Description: xv, 200 pages : illustrations ; 24 cm.
Contents: 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 [and others]. 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.
Series Title: Studies in universal logic.
Responsibility: Amirouche Moktefi, Sun-Joo Shin, editors.
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Abstract:

This book examines the logical status of diagrams-in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning.  Read more...

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