6533b7d1fe1ef96bd125cf01
RESEARCH PRODUCT
Square of Opposition Under Coherence
Giuseppe SanfilippoNiki Pfeifersubject
Square of oppositionSettore MAT/06 - Probabilita' E Statistica Matematicat-coherenceGeneralized quantifierSquare of oppositionSettore M-FIL/02 - Logica E Filosofia Della Scienza02 engineering and technology01 natural sciencesSquare (algebra)OpticsProbability theory0202 electrical engineering electronic engineering information engineering0101 mathematicsMathematicsbusiness.industry010102 general mathematicsProbabilistic logicCoherence (statistics)Imprecise probabilityconditional eventimprecise probabilityAlgebrag-coherencegeneralized quantifier020201 artificial intelligence & image processingbusinessSentenceacceptancedescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-07-30 |