A hexagonal framework of the field \({\mathbb{F}_4}\) and the associated Borromean logic

DOI10.1007/S11787-011-0033-6zbMath1280.03021OpenAlexW2154721958MaRDI QIDQ1940910

René Guitart

Publication date: 8 March 2013

Published in: Logica Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11787-011-0033-6

zbMATH Keywords

finite fieldsBoolean algebramodalityAristotlemany-valued logicshexagon of oppositionsquare of oppositionsApuleiusBlanchéBorromean objectSesmatspecular logic

Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Many-valued logic (03B50) Logical aspects of Boolean algebras (03G05)

Related Items (4)

Towards a Categorical Theory of Creativity for Music, Discourse, and Cognition ⋮ The power of the hexagon ⋮ Why the logical hexagon? ⋮ The field \(\mathbb F_{8}\) as a Boolean manifold

Cites Work

• ``Setting \(n\)-opposition
• Function Algebras on Finite Sets
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