Certain propositional anaphora, like the Polarity Particles and Polar Additives discussed in this paper, are sensitive to the polarity of their antecedent clause. The paper establishes that discourse polarity—the polarity of the antecedent clause for the purposes of licensing subsequent anaphora—is influenced by complex factors, some of them syntactic, semantic, and pragmatic in nature. The hyperintensional dynamic framework presented here gives a formal foundation to a distinction of polarity for propositional discourse referents and captures some of the central generalizations. It uses discourse referents for hyperintensional propositions, providing a level of representation that connects information from the discourse context, the proposition’s semantic content, and the information about the polarity of the antecedent clause. Therefore, it constitutes a step towards an analysis capturing the heterogeneous factors influencing discourse polarity.