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  1. Logic in Opposition.Fabien Schang - 2013 - Studia Humana 2 (3):31-45.
    It is claimed hereby that, against a current view of logic as a theory of consequence, opposition is a basic logical concept that can be used to define consequence itself. This requires some substantial changes in the underlying framework, including: a non-Fregean semantics of questions and answers, instead of the usual truth-conditional semantics; an extension of opposition as a relation between any structured objects; a definition of oppositions in terms of basic negation. Objections to this claim will be reviewed.
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  • Aristotelian and Boolean Properties of the Keynes-Johnson Octagon of Opposition.Lorenz Demey & Hans Smessaert - 2024 - Journal of Philosophical Logic 53 (5):1265-1290.
    Around the turn of the 20th century, Keynes and Johnson extended the well-known square of opposition to an octagon of opposition, in order to account for subject negation (e.g., statements like ‘all non-S are P’). The main goal of this paper is to study the logical properties of the Keynes-Johnson (KJ) octagons of opposition. In particular, we will discuss three concrete examples of KJ octagons: the original one for subject-negation, a contemporary one from knowledge representation, and a third one (hitherto (...)
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  • Logical relations.Lloyd Humberstone - 2013 - Philosophical Perspectives 27 (1):175-230.
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  • Note on contraries and subcontraries.Lloyd Humberstone - 2003 - Noûs 37 (4):690–705.
    The semantic characterization of the (syllogistic) relations of contrariety and subcontrariety is problematic, as the present discussion illustrates here by attending to some suggestions of D. H. Sanford.
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