 Briggs et al. (2014) offer a particular way out. As they argue, it may be too strong to require that entities always have logically consistent beliefs. For instance, we might have many beliefs about matters of fact, and also believe it likely we are wrong about some of them. Following Joyce (1998), they introduce a weaker notion of coherence of beliefs. They show that the majority voting aggregation of logically consistent beliefs will always be coherent, and the aggregation of coherent beliefs will typically be coherent as well. In other words, if we demand less from majority voting as a means of judgment aggregation, we can get it.