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GIUSEPPE SANFILIPPO

Probability Propagation in Selected Aristotelian Syllogisms

  • Autori: Pfeifer, Niki; Sanfilippo Giuseppe
  • Anno di pubblicazione: 2019
  • Tipologia: Contributo in atti di convegno pubblicato in volume
  • OA Link: http://hdl.handle.net/10447/369492

Abstract

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