Probability Propagation in Selected Aristotelian Syllogisms

Giuseppe Sanfilippo, Niki Pfeifer

Risultato della ricerca: Conference contribution

3 Citazioni (Scopus)


This paper continues our work on a coherence-based probability semantics for Aristotelian syllogisms (Gilio, Pfeifer, and Sanfilippo, 2016; Pfeifer and Sanfilippo, 2018) by studying Figure III under coherence. We interpret the syllogistic sentence types by suitable conditional probability assessments. Since the probabilistic inference of $P|S$ from the premise set ${P|M, S|M}$ is not informative, we add $p(M|(S ee M))>0$ as a probabilistic constraint (i.e., an ``existential import assumption'') to obtain probabilistic informativeness. We show how to propagate the assigned premise probabilities to the conclusion. Thereby, we give a probabilistic meaning to all syllogisms of Figure~III. We discuss applications like generalised quantifiers (like Most $S$ are $P$) and (negated) defaults
Lingua originaleEnglish
Titolo della pubblicazione ospiteSymbolic and Quantitative Approaches to Reasoning with Uncertainty 15th European Conference, ECSQARU 2019 Belgrade, Serbia, September 18–20, 2019 Proceedings
Numero di pagine13
Stato di pubblicazionePublished - 2019

Serie di pubblicazioni


All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.1700.1700???


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