Recalcitrant emotions, such as fear of flying, are emotions that persist even though they are in tension with the emoter's considered belief. A widely accepted argument against cognitivist theories of emotion holds that recalcitrant emotions show that emotions are more like sensory states than like thoughts or beliefs. I show that this argument does not succeed: Emotions are usually sensitive to our changing beliefs in a way that is more akin to cognitive states than to sensations. Moreover, empirical evidence strongly suggests that beliefs sometimes behave much like recalcitrant emotions do.