 Another notable difference is that when B logically entails A, adding a premise C cannot undermine the logical entailment—i.e., \((C\cdot B)\) must logically entail A as well. This property of logical entailment is called monotonicity. But inductive support is nonmonotonic. In general, depending on what \(A, B\), and C mean, adding a premise C to B may substantially raise the degree of support for A, or may substantially lower it, or may leave it completely unchanged—i.e., \(P[A \pmid (C\cdot B)]\) may have a value much larger than \(P[A \pmid B]\), or may have a much smaller value, or it may have the same, or nearly the same value as \(P[A \pmid B]\).