Abstract Logic of Oppositions

Logic and Logical Philosophy 21 (4):415--438 (2012)
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Abstract

A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered

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10.12775/llp.2012.019

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Fabien Schang
Université de Lorraine (PhD)

Citations of this work

Logical Geometries and Information in the Square of Oppositions.Hans Smessaert & Lorenz Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
A Bitstring Semantics for Calculus CL.Fabien Schang & Jens Lemanski - 2022 - In Jean-Yves Beziau & Ioannis Vandoulakis (eds.), The Exoteric Square of Opposition. Birkhauser. pp. 171–193.

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References found in this work

The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Sur l'opposition des concepts.Robert Blanche - 1953 - Theoria 19 (3):89-130.
Structures intellectuelles.Robert Blanché & Georges Davy - 1966 - Les Etudes Philosophiques 21 (4):541-542.
O logice trójwartościowej.Jan Łukasiewicz - 1988 - Studia Filozoficzne 270 (5).

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