Visual Reasoning with Diagrams

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Moktefi, Amirouche (Επιμελητής έκδοσης), Shin, Sun-Joo (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Σειρά: Studies in Universal Logic
• Θέματα: Mathematics.; Logic.; Visualization.; Mathematical logic.; Mathematical Logic and Foundations.; Mathematics, general.

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...

Πίνακας περιεχομένων:

• 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 (Jørgen 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).