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's (marked) quadriliteral diagram (Amirouche Moktefi).- 5. A diagrammatic bridge between classical and fuzzy logics (Ferdinando Cavaliere).- 6. Diagrammatic reasoning with Classes and relationships (J rgen 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).