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    Impossible worlds semantics (Priest, Berto) demonstrates ... — Carmelics
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    Challenges→In classical theories of entailment, the relevant possibilities are those where all necessities in X are true

    Impossible worlds semantics (Priest, Berto) demonstrates that some entailment relations require ranging over worlds where necessities fail.

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    Reasons For

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    Reason for
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    • 1.Some valid inferences (like from contradictions) cannot be explained using only possible worlds where classical logic holds.
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    • 2.Impossible worlds allow us to model meaningful distinctions between different ways propositions can fail, not just possible/impossible.
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    • 3.Paraconsistent logic requires a semantic framework where contradictions exist without triviality, necessitating impossible worlds.
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    Reasons Against

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    Reason against
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    • 1.Impossible worlds lack principled constraints on what they contain, making the framework semantically indeterminate and unmotivated.
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    • 2.Standard possible-worlds semantics with modal operators already captures relevant entailment relations without ontological excess.
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    • 3.Claiming necessities fail in some worlds seems to abandon necessity itself, making the concept incoherent rather than explanatory.
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    Modality & Possibility1 linkedPhilosophy of Language1 linked

    Related

    Claiming necessities fail in some worlds seems to abandon necessity itself, maki...Impossible worlds allow us to model meaningful distinctions between different wa...Impossible worlds lack principled constraints on what they contain, making the f...In classical theories of entailment, the relevant possibilities are those where ...
    +3 moreShow less
    Paraconsistent logic requires a semantic framework where contradictions exist wi...Some valid inferences (like from contradictions) cannot be explained using only ...Standard possible-worlds semantics with modal operators already captures relevan...

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