In this paper we present an alternative interpretation of statements of epistemic possibility, which does not induce a consistency test on a common ground, as in (Veltman 1996), but which tests whether the possibility is supported by some update of the common ground, as in (Veltman 1984). The information space relative to which such claims are evaluated are taken to consist in the possible developements of a discourse in action. It is shown that this notion of Might not only behaves better logically and pragmatically speaking, but that it also allows for non-trivial attitude reports and questions about epistemic possibilities. These epistemic modal statements can also be understood to guide or focus the inquisitive actions of the discourse participants. 1 Epistemic Modalities Epistemic modal operators like Might and Must in English, and semantically related verbs, adverbs and markers, express a kind of possibility or necessity relative to some body of knowledge, evidence, or other cons...