A database of Aristotelian diagrams: empirical foundations for logical geometry

DOI10.1007/978-3-031-15146-0_10zbMath1524.68431OpenAlexW4294837954MaRDI QIDQ6108747

Lorenz Demey, Hans Smessaert

Publication date: 26 July 2023

Published in: Diagrammatic Representation and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-15146-0_10

zbMATH Keywords

semantic websquare of oppositionlogical geometryAristotelian diagramdiagram databaseLeonardi.DB

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Knowledge representation (68T30) Digital mathematics libraries and repositories (68V35)

Cites Work

• Structures of opposition induced by relations. The Boolean and the gradual cases
• Around and beyond the square of opposition
• Geometric and cognitive differences between logical diagrams for the Boolean algebra \(\mathbb {B}_{4}\)
• The interaction between logic and geometry in Aristotelian diagrams
• Logical geometries and information in the square of oppositions
• Logical and geometrical distance in polyhedral Aristotelian diagrams in knowledge representation
• The search for symmetry in Hohfeldian modalities
• What kind of opposition-forming operator is privation?
• Schopenhauer's partition diagrams and logical geometry
• Combining and relating Aristotelian diagrams
• On the cognitive potential of derivative meaning in Aristotelian diagrams
• Boolean considerations on John Buridan's octagons of opposition
• The Square of Opposition in Catholic hands: a chapter in the history of 20th-century logic
• From Euler diagrams to Aristotelian diagrams

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