Square of Opposition Under Coherence

Giuseppe Sanfilippo, Niki Pfeifer

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9 Citazioni (Scopus)


Various semantics for studying the square of opposition have been proposed recently. So far, only (Gilio et al., 2016) studied a probabilistic version of the square where the sentences were interpreted by (negated) defaults. We extend this work by interpreting sentences by imprecise (set-valued) probability assessments on a sequence of conditional events. We introduce the acceptability of a sentence within coherence-based probability theory. We analyze the relations of the square in terms of acceptability and show how to construct probabilistic versions of the square of opposition by forming suitable tripartitions. Finally, as an application, we present a new square involving generalized quantifiers.
Lingua originaleEnglish
Titolo della pubblicazione ospiteSoft Methods for Data Science
Numero di pagine8
Stato di pubblicazionePublished - 2017

Serie di pubblicazioni


All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • ???subjectarea.asjc.1700.1700???

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