I "argue" that by knowingly accepting a set of propositions which is logically inconsistent, An epistemic agent need not violate any valid epistemic rule. Those types of logically inconsistent sets which it is permissible to accept are distinguished from those which may not be accepted. The results of the discussion are applied to the lottery paradox set of propositions and the preface paradox set. I also "suggest" that it may be an epistemic virtue to accept some inconsistent sets.