Logic in Opposition

Studia Humana 2 (3):31-45 (2013)
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Abstract

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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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.
End of the square?Fabien Schang - 2018 - South American Journal of Logic 4 (2):485-505.
Epistemic Pluralism.Fabien Schang - 2017 - Logique Et Analyse 239 (60):337-353.
An Arithmetization of Logical Oppositions.Fabien Schang - 2016 - In Jean-Yves Béziau & Gianfranco Basti (eds.), The Square of Opposition: A Cornerstone of Thought. Basel, Switzerland: Birkhäuser. pp. 215-237.

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References found in this work

The Cube, the Square and the Problem of Existential Import.Saloua Chatti & Fabien Schang - 2013 - History and Philosophy of Logic 34 (2):101-132.
Abstract Logic of Oppositions.Fabien Schang - 2012 - Logic and Logical Philosophy 21 (4):415--438.
On negation: Pure local rules.João Marcos - 2005 - Journal of Applied Logic 3 (1):185-219.
Questions and Answers about Oppositions.Fabien Schang - 2011 - In Jean-Yves Beziau & Gillman Payette (eds.), The Square of Opposition: A General Framework for Cognition. Peter Lang. pp. 289-319.
Oppositions and opposites.Fabien Schang - 2012 - In Jean-Yves Béziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Springer Verlag. pp. 147--173.

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