A plural referring expression (‘the Fs’ or ‘Tom, Dick and Harriet’) may be used to refer either distributively, saying something which applies to each of the Fs individually, or collectively, to the Fs taken as a single totality. Predicate Logic has to analyse both uses in terms of singular reference, treating them quite differently in so doing; but we think of such an expression as functioning in basically the same way in both kinds of use. This understanding can be vindicated if we recognise t…
Read moreA plural referring expression (‘the Fs’ or ‘Tom, Dick and Harriet’) may be used to refer either distributively, saying something which applies to each of the Fs individually, or collectively, to the Fs taken as a single totality. Predicate Logic has to analyse both uses in terms of singular reference, treating them quite differently in so doing; but we think of such an expression as functioning in basically the same way in both kinds of use. This understanding can be vindicated if we recognise that what a plural referring expression picks out is not either an aggregate simpliciter or a set, but a plurality– an aggregate taken relative to a principle for individuating its constituents; this admits of being seen either as many things or as one. In any given case, it is the nature of what is being said about the plurality which tells us whether the reference to it is to be taken as distributive, collective, or a combination of the two. Talk about pluralities is extensional. Augmenting Predicate Logic to accommodate the distinctive inference‐pattern associated with distributive plural reference is simple – and arguably necessary, to cope with cases in which distributive and collective reference are essentially combined (e.g., attributions of concerted action).
