Quasi-Topological Structure of Extensions Within Logic of Typicals and Atypicals (LTA)

Jean-Pierre Desclés,Anca Christine Pascu

doi:10.1007/978-3-030-94452-0_32

Quasi-Topological Structure of Extensions Within Logic of Typicals and Atypicals (LTA)

Jean-Pierre Desclés, Anca Christine Pascu

https://doi.org/10.1007/978-3-030-94452-0_32

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Publication Date: Jan 1, 2022

Affiliation: Sorbonne Université, Laboratoire des Sciences et Techniques de l’Information de la Communication et de la Connaissance, Université de Bretagne Occidentale

#Mathematical Structure #Areas Of Sciences + Show 3 more

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Abstract

This chapter is a study of Quasi-Topology Structure (QTS) modeling within the framework of the Logic of the Typical and Atypical (LTA). The quasi-topology structure (QTS) is a new mathematical structure. The Logic of Typical and Atypical (LTA) is a logic that accounts for a finer categorization of the objects associated with the concepts. The epistemological motivations of the notions of the Logic of Typical and Atypical (LTA) and the quasi-topology structure (QTS) are presented. It is shown how the quasi-topological structure (QTS) is realized in the extensions of the Logic of the Typical and Atypical (LTA). Several examples from linguistics and other areas of the social sciences and humanities are presented.

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