 By now, a number of problems have been raised for process reliabilism. Here we review some of the main challenges, focusing on the three that have received the most attention in the literature: the clairvoyance problem  (§2.1),  the new evil demon problem  (§2.2),  and the generality problem  (§2.3).  Afterwards, we will briefly survey some challenges of a more recent vintage  (§2.4).