It is now widely believed among philosophers and logicians that ordinary English contains plural terms and plural predicates. For instance, should be seen as having the logical form where ‘aa’ is a plural term, and ‘F’ a plural predicate. Following George Boolos (1984) and others, many philosophers and logicians also think that plural expressions should be analysed as not introducing any new ontological commitments to some sort of ‘plural entities’, but rather as involving a new form of reference to objects to which we are already committed (for an overview and further details, see Linnebo 2008). For instance, the plural term ‘aa’ refers to Alice, Bob and Charlie simultaneously, and the plural predicate ‘F’ is true of some things just in case these things cooperate.

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A natural question that arises is whether the step from the...