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Birkhäuser

Visual Reasoning with Diagrams

  • Book
  • © 2013

Overview

Editors:
  1. Amirouche Moktefi

    1. IRIST, Université de Strasbourg, Strasbourg, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Sun-Joo Shin

    1. Department of Philosophy, Yale University, New Haven, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Investigates the logical aspects of visualization in quantum field theory and gravity
  • Addresses the increasingly important topic of visualizations in our complex modern world
  • Of interest for mathematicians, logicians, philosophers, cognitive and computer scientists ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Universal Logic (SUL)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XV
    Download chapter PDF

  2. What is a Logical Diagram?

    • Catherine Legg
    Pages 1-18

  3. The Geometry of Diagrams and the Logic of Syllogisms

    • Richard Bosley
    Pages 19-31

  4. A Diagrammatic Calculus of Syllogisms

    • Ruggero Pagnan
    Pages 33-53

  5. Beyond Syllogisms: Carroll’s (Marked) Quadriliteral Diagram

    • Amirouche Moktefi
    Pages 55-71

  6. A Diagrammatic Bridge Between Standard and Non-standard Logics: The Numerical Segment

    • Ferdinando Cavaliere
    Pages 73-81

  7. Diagrammatic Reasoning with Classes and Relationships

    • Jørgen Fischer Nilsson
    Pages 83-100

  8. On the Completeness of Spider Diagrams Augmented with Constants

    • Gem Stapleton, John Howse, Simon Thompson, John Taylor, Peter Chapman
    Pages 101-133

  9. A Practice-Based Approach to Diagrams

    • Valeria Giardino
    Pages 135-151

  10. Figures, Formulae, and Functors

    • Zach Weber
    Pages 153-170

  11. Representation of Graphs in Diagrams of Graph Theory

    • Mitsuko Wate-Mizuno
    Pages 171-200
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Keywords

About this book

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.

Editors and Affiliations

  • IRIST, UniversitĂ© de Strasbourg, Strasbourg, France

    Amirouche Moktefi

  • Department of Philosophy, Yale University, New Haven, USA

    Sun-Joo Shin

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