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Ideas for 'Parmenides', 'Lectures 1930-32 (student notes)' and 'Philosophy of Mathematics'

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10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Why does the 'myth' of possible worlds produce correct modal logic? [Shapiro]
     Full Idea: The fact that the 'myth' of possible worlds happens to produce the correct modal logic is itself a phenomenon in need of explanation.
     From: Stewart Shapiro (Philosophy of Mathematics [1997], 7.4)
     A reaction: The claim that it produces 'the' correct modal logic seems to beg a lot of questions, given the profusion of modal systems. This is a problem with any sort of metaphysics which invokes fictionalism - what were those particular fictions responding to?