 \(K_aF\) is assigned the reading “agent a has information that F is true”. One may consider \(K_a\) as a kind of knowledge, though not the kind usually possessed by actual, real-life agents (because it satisfies properties such as closure under logical consequence that are typically not satisfied in practice). Intuitively, possession of information of F is belief in F that persists upon receipt of any further information, even information that is not true. This kind of knowledge is therefore infallible and indefeasible. 