Abstract
An important objection to political liberalism is that it provides no means by which to decide conflicts between public and non-public reasons. This article develops John Rawls' idea of `reasoning from conjecture' as one way to argue for a commitment to public reason. Reasoning from conjecture is a form of non-public justification that allows political liberals to reason from within the comprehensive views of at least some unreasonable citizens. After laying out the basic features of this form of non-public justification, this article responds to three objections based on concerns about insincerity, cultural imperialism, and the epistemic authority of those who reason from conjecture