Moscow Center for Consciousness Studies at the Faculty of Philosophy, Moscow State University, Russia
Title: A 32-vertex generalization of the logical square: "Logical Lantern" for propositions in V.I. Markin's Universal language for traditional positive syllogistic theories.
Abstract: In this talk is constructed an analogue of the square of opposition for propositions about logical relations between two non-empty sets. Unlike the classical square of opposition, the proposed scheme uses all logically possible syllogistic constants, formulated in V.I. Markin’s universal language for traditional positive syllogistic theories. This scheme can be called „Logical lantern”.
The constructed scheme, making it possible to visually see the logical relations among propositions about relations between two nonempty sets, allows us to suggest considering logical relations not discussed previously: many-place Aristotelian-like logical relations among propositions: exhaustive n-place contrariety and exhaustive n-place subcontrariety.
https://link.springer.com/article/10.1007/s11787-024-00351-5
Associate Organization:
International Laboratory for Logic, Linguistics and Formal Philosophy
presented by the Laboratory Head: Elena Dragalina-Chernaya
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