A New Condition for Transitivity of Probabilistic Support

Abstract As is well known, implication transitive but probabilistic support not. Eells and Sober, followed by Shogenji, showed that screening off a sufficient constraint for the transitivity of support. Moreover, this condition can be weakened without sacrificing transitivity, as was demonstrated Suppes later Roche. In paper we introduce an even weaker support, in fact one made weak wishes. We explain has interesting property: it shows retained though Simpson paradox reigns. further show adding certain restriction turned into both necessary transitivity.