Applications of squares of oppositions and their generalizations in philosophical analysis

Logica Universalis 2 (1):13-29 (2008)
.  This papers examines formal properties of logical squares and their generalizations in the form of hexagons and octagons. Then, several applications of these constructions in philosophical analysis are elaborated. They concern contingency (accidentality), possibility, permission, axiological concepts (bonum and malum), the generalized Hume thesis (deontic and epistemic modalities), determinism, truth and consistency (in various senses. It is shown that relations between notions used in various branches of philosophy fall into the same formal scheme.
Keywords Logical relations  logical square  logical hexagon  logical octagon
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DOI 10.1007/s11787-007-0028-5
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Leibniz and the Square: A Deontic Logic for the Vir Bonus.Chris Johns - 2014 - History and Philosophy of Logic 35 (4):369-376.

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