The Geometry of Logical Oppositions
Institute of Philosophy University of Nice;France |
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“ This theory, relevant to both quantification theory and modal
logic (both are tied to the logical square) shows that there exists a
field, between logic and geometry, where logical-geometrical This field is related to modal logic, in so much such The theory’s known applications, so far, concern mainly the study – from a new geometrical point of view – of the known modal systems (normal or non-normal, abstract or applied), but also the study of the non-logical formalisms inspired by the logical square in psychology (cognitive science and psychoanalysis), linguistics (semiotics and pragmatics), philosophy (analytical as continental) and others. In this tutorial we will introduce to the theory of See also SQUARE
OF OPPOSITION |
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The theory of n-oppositionBéziau, J.-Y., Paraconsistent
logic from a modal viewpoint”, Blanché,R. "Sur l’opposition des concepts”, Moretti, A.,“Geometry for
Modalities? Yes: Through n-Opposition Theory”, in Pellissier, R.,“ “Setting” n-opposition”, (Proceedings of the UNILOG 2005, to appear) |
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