Titlebook: Around and Beyond the Square of Opposition; Jean-Yves Béziau,Dale Jacquette Book 2012 Springer Basel 2012 intuitionistic logic.knowledge.l

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Logical Oppositions in Arabic Logic: Avicenna and Averroeso Aristotle in many aspects, their analysis of logical oppositions differs from Aristotle’s by its semantic character, and their conceptions of opposition are different from each other and from Aristotle’s conception. Following Al Fārābī, they distinguish between propositions by means of what they c

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Boethius on the Square of Oppositioncommentaries on Aristotle’s . and his treatises on syllogistic, . and .. The research discovers two different tracks. One way comes from Plato’s . and Aristotle’s ., and the aim is to distinguish contrariety from contradiction. The second influence also starts from Aristotle, but now in connection w

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Why the Fregean “Square of Opposition” Matters for Epistemologyise in the . seems to be devoted to describe this difference from a formal point of view. For, he considers an expression as a simple or complex sign characterized by the function/argument structure. In our contribution, we try to elucidate Frege’s effort by analyzing his variation of the Aristoteli

Congregate

Two Concepts of Opposition, Multiple Squaresllel to incompatibility or inconsistency among statements. It is argued that opposition, or incoherence, among assertive illocutionary acts is more fundamental than inconsistency, and that our understanding of incoherence “underwrites” our conception of inconsistency. Diagrams are provided to illust

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Does a Leaking ,-Corner Save the Square?edicate logic collapses when the class denoted by the restrictor predicate is empty. It is usually thought that this mistake was made by Aristotle himself, but it has now become clear that this is not so: Aristotle did not have the Conversions but only one-way entailments, which ‘saves’ the Square.

irradicable

The Right Squaresupremacy of modern predicate logic over Aristotelian Syllogistic: handing multiply quantificational, relational expressions like ‘All boys love some girls’. The interpretation has other advantages, is plausibly Aristotle’s own, original view, and was certainly known by several significant Aristotel