 Lehmann and Magidor (Lehmann and Magidor 1992) noticed an interesting coincidence: the metalogical conditions for preferential consequence relations correspond exactly to the axioms for a logic of conditionals developed by Ernest W. Adams (Adams 1975).[4] Adams’s logic was based on a conditional, \(\Rightarrow\), intended to represent a relation of very high conditional probability: \((p \Rightarrow q)\) means that the conditional probability \(Pr(q/p)\) is extremely close to 1. Adams used the standard delta-epsilon definition of the calculus to make this idea precise. Let us suppose that a theory \(T\) consists of a set of conditional-free formulas (the facts) and a set of probabilistic conditionals. A conclusion \(p\) follows defeasibly from \(T\) if and only if every probability function satisfies the following condition: