Propositions and counterpart theory

Analysis 65 (287):210–218 (2005)
Abstract I argue that there is a conflict between two positions defended by David Lewis: counterpart theory, and the identification of propositions with sets of possible worlds. There is no adequate answer to the question whether a world where Humphrey has one winning and one losing counterpart is or is not a member of the set that is the proposition that Humphrey wins. If one says it is, it will follow that it is possible for that proposition to be true without Humphrey winning; if one says that it is not, it will follow that it is possible for Humphrey to win without that proposition being true.
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