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    Relevant alternative theory shows that only relevant hypo... — Carmelics
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    Challenges→The closure principle (premise 3) is false

    Relevant alternative theory shows that only relevant hypotheses need to be ruled out for justification

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    The closure principle (premise 3) is falseThe closure principle requires that justification for p entails justification fo...The closure principle's requirement to rule out all contrary hypotheses is stron...

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    Another recent response is to deny premise (3). This is a principle of closure. Since a belief entails the denial of every contrary hypothesis, this closure principle in effect says that I cannot be justified in believing p unless I am justified in denying every hypothesis contrary to p — that is, unless I can rule out all contrary hypotheses. This principle has been denied by relevant alternative theorists, who claim instead that only relevant hypotheses need to be ruled out. On this theory, if

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