 On this account, a “P-corresponding normative attitude” is understood to be a judgment, emotional state, expectation, or other properly first personal normative belief that supports the principle P (e.g., Alice thinking most people should P would count as a normative attitude).  Condition (i)  is meant to reflect genuine first personal normative commitments, attitudes or beliefs.  Condition (ii)  is meant to capture those cases where individuals know that a large part of their group also shares in those attitudes. Putting conditions (i) and (ii) together offers a picture that the authors argue allows for explanatory work to be done on a social-level normative concept while remaining grounded in individual-level attitudes.