Approaching the alethic modal hexagon of opposition

Logica Universalis 6 (1-2):109-118 (2012)
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Modal logic like many others sustains a hexagon of opposition, with the two “additional” vertices expressing contingency and non-contingency. We first illustrate hexagons of opposition generally by treating them as cut-down entailment lattices with order distinctions among multiple arguments suppressed. We then approach the modal case by treating it heuristically as a particular case of the hexagon for quantified propositions. Historically, possibility and contingency were sometimes confused: we show using the notion of duality that contingency, as negation-symmetric, is logically less interesting than possibility



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Peter Simons
Trinity College, Dublin

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The power of the hexagon.Jean-Yves Béziau - 2012 - Logica Universalis 6 (1-2):1-43.

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