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    A set of interpretations S consists of complete, consiste... — Carmelics
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    Home/Modality & Possibility
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    Supports→A model can be represented as a pair <I, S> where S is a set of interpretations including I

    A set of interpretations S consists of complete, consistent sets of literals

    Modality & PossibilityTruth & Knowledge
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    Related propositions within the same area of thought.
    A model can be represented as a pair <I, S> where S is a set of interpretations ...In the possible worlds interpretation of S5, possible worlds can be identified w...State descriptions can be represented as sets I of literals (atomic formulas and...

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    S is a set of interpretations and I ∈ S86%System S is complete for an interpretation means every formula valid u...77%State descriptions can be represented as sets I of literals (atomic fo...77%The stronger interpretation requires consistency, true beliefs, and ap...77%

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    Turner’s idea is to treat Caused as a modal operator [ c ], making this the basis of a modal nonmonotonic logic. In the preferred models of this logic, the caused propositions coincide with the propositions that are true, and this must be the only possibility consistent with the extensional part of the model. To make this more explicit, recall that in the possible worlds interpretation of S5, it is possible to identify possible worlds with state descriptions, which we can represent as sets I of

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