I offer two interpretations of independence between experts: (i) independence as deciding autonomously, and (ii) independence as having different perspectives. I argue that when experts are grouped together, independence of both kinds is valuable for the same reason: they reduce the likelihood of erroneous consensus by enabling a greater variety of critical viewpoints. In offering this argument, I show that a purported proof from Finnur Dellsén that groups of more autonomous experts are more reliable does not work. It relies on a flawed ceteris paribus assumption, as well as a false equivalence between autonomy and probabilistic independence. A purely formal proof that more autonomous experts are more reliable is in fact not possible – substantive claims about how more autonomous groups reason are required. My alternative argument for the value of autonomy between experts rests on the claim that groups that triangulate a greater range of critical viewpoints will be less likely to accept hypotheses in error. As well as clarifying what makes autonomy between experts valuable, this mechanism of critical triangulation, gives us reason to value groups of experts that cover a wide range of relevant skills and knowledge. This justifies my second interpretation of expert independence.