A New Condition for Transitivity of Probabilistic Support

David Atkinson, Jeanne Peijnenburg*

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

1 Citaat (Scopus)
54 Downloads (Pure)

Samenvatting

As is well known, implication is transitive but probabilistic support is not. Eells and Sober, followed by Shogenji, showed that screening off is a sufficient constraint for the transitivity of probabilistic support. Moreover, this screening off condition can be weakened without sacrificing transitivity, as was demonstrated by Suppes and later by Roche. In this paper we introduce an even weaker sufficient condition for the transitivity of probabilistic support, in fact one that can be made as weak as one wishes. We explain that this condition has an interesting property: it shows that transitivity is retained even though the Simpson paradox reigns. We further show that by adding a certain restriction the condition can be turned into one that is both sufficient and necessary for transitivity.
Originele taal-2English
Pagina's (van-tot)253-265
Aantal pagina's13
TijdschriftErkenntnis
Volume88
Vroegere onlinedatum19-mrt.-2021
DOI's
StatusPublished - jan.-2023

Citeer dit