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    Two propositions are identical if and only if they corres... — Carmelics
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    Challenges→On a possible worlds account, 'Bachelors are unmarried' and 'Brothers are male siblings' express the same proposition.

    Two propositions are identical if and only if they correspond to the same set of possible worlds.

    Modality & PossibilityPhilosophy of Language
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    Philosophy of LanguageModality & Possibility

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    'Bachelors are unmarried' is a metaphysically necessary truth, so it is true in ...'Brothers are male siblings' is a metaphysically necessary truth, so it is true ...On a possible worlds account, 'Bachelors are unmarried' and 'Brothers are male s...

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    Related propositions within the same area of thought.
    On the possible worlds account, propositions are identified with sets of possibl...
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    There is only one set of all possible worlds.

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    The first had to do with the way propositions are individuated on a possible worlds account. The view that propositions are sets of possible worlds does not individuate propositions very finely. For example, consider any pair of sentences that express metaphysically necessary propositions, say ‘Bachelors are unmarried’ and ‘Brothers are male siblings’. Since these propositions are true in all possible worlds, each must be the set of all possible worlds. But there is only one such set. Thus there

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