Visual Reasoning with Diagrams

• Corporate Author: SpringerLink (Online service)
• Other Authors: Moktefi, Amirouche. (Editor), Shin, Sun-Joo. (Editor)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: Studies in Universal Logic
• Subjects: Mathematics.; Logic.; Visualization.; Logic, Symbolic and mathematical.; Mathematical Logic and Foundations.; Mathematics, general.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0600-8

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 d...

Table of 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<U+0019>s (marked) quadriliteral diagram (Amirouche Moktefi)
• 5. A diagrammatic bridge between classical and fuzzy logics (Ferdinando Cavaliere)
• 6. Diagrammatic reasoning with Classes and relationships (Jr̜gen 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).