On September 3, 2015, the Political Epistemology/Ideas, Knowledge, and Politics section of the American Political Science Association sponsored a roundtable on epistemic democracy as part of the APSA’s annual meetings. Chairing the roundtable was Daniel Viehoff, Department of Philosophy, University of Sheffield. The other participants were Jack Knight, Department of Political Science and the Law School, Duke University; Hélène Landemore, Department of Political Science, Yale University; and Nadia Urbinati, Department of Political Science, Columbia University. We thank the participants for permission to republish their remarks, which they edited for clarity after the fact. © 2016 Critical Review Foundation.