Abstract
Abstract This chapter argues that omega knowledge is necessary for rational assertion and action. One argument relies on the infelicity of dubious assertions, sentences of the form p and I don’t know that I know that p. These are best explained through the norm that you should assert p only if you omega know p. Another argument relies on the Norm Iteration principle: if you are permitted to A only if p, then you are permitted to A only if you know p. This principle implies that permissible action requires omega knowledge. The chapter surveys arguments against the KK principle (that if you know p, then you know that you know p). The chapter also introduces various principles governing justified belief, for example that you are justified in believing p iff for all you know, you omega know p.
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