 I shall write the conditional which satisfies Adams’s criterion of validity “\(A \Rightarrow B\)”. We have already seen that in all distributions, \(\mathbf{p}_A (B) \le \mathbf{p}(A \supset B)\). Therefore, \(A \Rightarrow B\) entails \(A \supset B\): it cannot be the case that the former is more probable than the latter. Call a non-conditional sentence a factual sentence. If an argument has a factual conclusion, and is classically valid with the conditional interpreted as \(\supset\), it is valid with the conditional interpreted as the stronger \(\Rightarrow\). The following patterns of inference are therefore valid: