Abstract
The following three propositions appear to be individually defensible but jointly inconsistent: (1) reliability is a necessary condition on epistemic justification; (2) on contested matters in philosophy, my beliefs are not reliably formed; (3) some of these beliefs are epistemically justified. I explore the nature and scope of the problem, examine and reject some candidate solutions, compare the issue with ones arising in discussions about disagreement, and offer a brief assessment of our predicament.