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  1. Possible-worlds semantics without possible worlds: The agnostic approach.John Divers - 2006 - Mind 115 (458):187-226.
    If a possible-worlds semantic theory for modal logics is pure, then the assertion of the theory, taken at face-value, can bring no commitment to the existence of a plurality of possible worlds (genuine or ersatz). But if we consider an applied theory (an application of the pure theory) in which the elements of the models are required to be possible worlds, then assertion of such a theory, taken at face-value, does appear to bring commitment to the existence of a plurality (...)
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2009-12-17
Reductive Approach to Possible Worlds
Rodrigo Cid

Federal University of Rio de Janeiro

When we say that "P" is possible iff there is a possible world where "P" is true, we can continue and say that there is a possible world where "P" is true iff "A" is true, and "A" is not something about a non-actual possible world. Such an approach would allow us to use the vocabulary of possible worlds, while sustaining an agnostic or an anti-realist position about the the existence of non-actual possible worlds. Can such a reductive approach to possible worlds solve the problem of ontological commitmentt to the existence of non-actual possible worlds? And what do you think that "A" must be as non-actual possible worlds dont get implicated?
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