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math.PR2023
A probabilistic analysis of selected notions of iterated conditioning under coherence
Lydia Castronovo, Giuseppe Sanfilippo
It is well know that basic conditionals satisfy some desirable basic logical and probabilistic properties, such as the compound probability theorem, but checking the validity of th…
cs.AI2023★ 4 cited
On Trivalent Logics, Compound Conditionals, and Probabilistic Deduction Theorems
Angelo Gilio, David E. Over, Niki Pfeifer +1
In this paper we recall some results for conditional events, compound conditionals, conditional random quantities, p-consistency, and p-entailment. Then, we show the equivalence be…
math.PR2023
Subjective probability, trivalent logics and compound conditionals
Angelo Gilio, Giuseppe Sanfilippo
In this work we first illustrate the subjective theory of de Finetti. We recall the notion of coherence for both the betting scheme and the penalty criterion, by considering the un…