Pluralities, Counterparts, and Groups
I propose a theory of groups based on pluralities and counterparts. Roughly put, according to the theory, a group is a plurality of entities at a time. This theory comes with a counterpart-theoretic semantics for modal and temporal sentences about groups. Altogether, the resulting theory of groups is akin to the stage theory of material objects: both take the items they analyze to exist at a single time, and both use counterparts to satisfy certain conditions relating to the modal properties, temporal properties, and coincidence properties of those items.
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