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Visual Reasoning with Diagrams.

Author: Amirouche Moktefi; Sun-Joo Shin
Publisher: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Series: Studies in universal logic.
Edition/Format:   eBook : Document : 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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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Amirouche Moktefi; Sun-Joo Shin
ISBN: 9783034806008 3034806000 1299857108 9781299857100
OCLC Number: 857535286
Notes: 9783034805995.
Description: 1 online resource (XV, 200 pages 139 illustrations, 13 illustrations in color.) online resource.
Contents: Preface --
1. What is a logical diagram? (Catherine Legg) --
2. The geometry of diagrams and the logic of syllogisms (Richard Bosley).- 3. A diagrammatic calculus of syllogisms (Ruggero Pagnan) --
4. Beyond syllogisms: Carroll's (marked) quadriliteral diagram (Amirouche Moktefi) --
5. A diagrammatic bridge between classical and fuzzy logics (Ferdinando Cavaliere) --
6. Diagrammatic reasoning with Classes and relationships (Jørgen Fischer Nilsson).- 7. On the completeness of spider diagrams augmented with constants (Gem Stapleton, John Howse, Simon Thompson, John Taylor and Peter Chapman) --
8. A practice-based approach to diagrams (Valeria Giardino) --
9. Figures, formulae, and functors (Zach Weber) --
10. Diagrams and concepts of graph theory (Mitsuko Mizuno).
Series Title: Studies in universal logic.

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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