 The argument begins by noting that social properties supervene on, or are realized by, individualist properties. It is then pointed out that this relationship between social and individualist properties is compatible with social properties being realizable not only by a single compound of individualist properties, but by different—in fact indefinitely many—compounds of individualist properties. An empirical claim is made next, asserting that many social properties are indeed multiply realizable. This point is typically supported by way of example. For instance, Kincaid lists several social predicates such as “revolution”, “bureaucracy”, and “peer group”, and remarks that “any number of different relations between individuals, individual psychological states, beliefs, etc. could realize the referent of these terms” (Kincaid 1986: 497). In a similar vein, Keith Sawyer states that “‘being a church’ could be realized in disjunctive [and hence multiple] ways in different cultures and social groups” (Sawyer 2002: 550). Finally, it is observed that the condition of connectability cannot be met whenever social theories contain social predicates that refer to social properties that have multiple and highly different, or indefinitely many, realizations. In these cases, the social predicates cannot be linked via bridge laws to single individualist descriptions. Instead, they will have to be linked to a disjunction of individualist descriptions. To see this, return to the example of the social property of being a church. Insofar as a church is multiply realizable, the term “church” will have to be linked up with a disjunction of individualist descriptions, each characterizing a possible compound of individualist properties that may realize a church. The upshot is that social theories that refer to multiply realizable social properties cannot be reduced to individualist theories. Thus, holist explanations that appeal to these theories cannot be substituted by individualist explanations.