On the state-space model of unawareness

We show that the knowledge of an agent carrying non-trivial unawareness violates the standard property of ‘necessitation’, therefore necessitation cannot be used to refute the standard state-space model. A revised version of necessitation preserves non-trivial unawareness and solves the classical Dekel-Lipman-Rustichini result. We propose a generalised knowledge operator consistent with the standard state-space model of unawareness, including the model of infinite state-space.