Visual Reasoning with Diagrams

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 Standard and Non-standard Logics: The Numerical Segment
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, Peter Chapman

8. A Practice-Based Approach to Diagrams
Valeria Giardino

9. Figures, Formulae, and Functors
Zach Weber

10. Representation of Graphs in Diagrams of Graph Theory
Mitsuko Wate-Mizuno

Keywords: Mathematics, Mathematical Logic and Foundations, Visualization, Logic, Mathematics, general