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It is not the case that 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.
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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Reasons Against
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Reason against
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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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