Studies in Universal Logic

Visual Reasoning with Diagrams

Editors: Moktefi, Amirouche, Shin, Sun-Joo (Eds.)

  • 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 ​
see more benefits

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-0348-0600-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-0348-0599-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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.

Table of contents (10 chapters)

  • What is a Logical Diagram?

    Legg, Catherine

    Pages 1-18

  • The Geometry of Diagrams and the Logic of Syllogisms

    Bosley, Richard

    Pages 19-31

  • A Diagrammatic Calculus of Syllogisms

    Pagnan, Ruggero

    Pages 33-53

  • Beyond Syllogisms: Carroll’s (Marked) Quadriliteral Diagram

    Moktefi, Amirouche

    Pages 55-71

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

    Cavaliere, Ferdinando

    Pages 73-81

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-0348-0600-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-0348-0599-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Visual Reasoning with Diagrams
Editors
  • Amirouche Moktefi
  • Sun-Joo Shin
Series Title
Studies in Universal Logic
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0600-8
DOI
10.1007/978-3-0348-0600-8
Softcover ISBN
978-3-0348-0599-5
Series ISSN
2297-0282
Edition Number
1
Number of Pages
XV, 200
Number of Illustrations and Tables
126 b/w illustrations, 13 illustrations in colour
Topics