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It is not the case that A hypothesis with near-zero prior probability can pass Mayo's severity criterion while remaining epistemically unwarranted given background knowledge.
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Reasons For
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Reason for
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1.
If a hypothesis conflicts with well-established background knowledge, passing a single test shouldn't override cumulative evidence.
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2.
Mayo's severity criterion targets error-probabilities, not truth-likelihood; passing it says the hypothesis wasn't lucky, not that it's true.
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3.
Bayesian integration of priors with likelihoods reflects rational belief-updating; ignoring priors risks accepting noise as signal.
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Reasons Against
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Reason against
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1.
Severity measures test-result reliability independent of priors; a low-probability hypothesis can still survive rigorous testing.
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2.
Background knowledge is fallible and can systematically mislead; low priors may reflect collective bias rather than genuine implausibility.
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3.
Epistemic warrant requires integration of prior plausibility with evidential strength; severity alone cannot confer justification.
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