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  • Book
  • © 2013

Visual Reasoning with Diagrams

Birkhäuser
  • 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
  2. What is a Logical Diagram?

    • Catherine Legg
    Pages 1-18
  3. A Diagrammatic Calculus of Syllogisms

    • Ruggero Pagnan
    Pages 33-53
  4. Diagrammatic Reasoning with Classes and Relationships

    • Jørgen Fischer Nilsson
    Pages 83-100
  5. On the Completeness of Spider Diagrams Augmented with Constants

    • Gem Stapleton, John Howse, Simon Thompson, John Taylor, Peter Chapman
    Pages 101-133
  6. A Practice-Based Approach to Diagrams

    • Valeria Giardino
    Pages 135-151
  7. Figures, Formulae, and Functors

    • Zach Weber
    Pages 153-170
  8. Representation of Graphs in Diagrams of Graph Theory

    • Mitsuko Wate-Mizuno
    Pages 171-200

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, Université de Strasbourg, Strasbourg, France

    Amirouche Moktefi

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

    Sun-Joo Shin

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access