A pervasive feature of democracy is disagreement. In general, when we encounter disagreement from someone who is at least more reliable than chance, this puts some pressure on us to moderate our beliefs. But this raises the specter of asymmetric compliance – it’s not obvious what to do when we moderate our beliefs but the other party refuses to do so. Whereas an elegant solution is available when it comes to how we can respond to our higher-order evidence while still preserving democratic fairness, I argue that no such solution is forthcoming when we consider zetetic intransigence – that is, asymmetric compliance with regard to how we inquire, or gather evidence. The upshot is that democratic participation can involve messy trade-offs with no entirely satisfactory resolution.