My aim in the present paper is to develop a new kind of argument in support of the ideal of liberal neutrality. This argument combines some basic moral principles with a thesis about the relationship between the correct standards of justification for a belief/action and certain contextual factors. The idea is that the level of importance of what is at stake in a specific context of action determines how demanding the correct standards to justify an action based on a specific set of beliefs ought to be. In certain exceptional contexts –where the seriousness of harm in case of mistake and the level of an agent’s responsibility for the outcome of his action are specially high– a very small probability of making a mistake should be recognized a...