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It is not the case that Hume's argument against miracles based on testimony fails because it relies on an ambiguity between 'all testimony' and 'some testimony'
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Reasons For
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Reason for
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1.
The argument against miracles treats 'all testimony' as if it were uniform in reliability
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2.
A parody syllogism exposes the same fallacy: 'Some books are mere trash; Hume's Works are [some] books; therefore [Hume's Works are mere trash]'
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3.
Inferring from 'some X has property P' to a specific instance of X having property P is a formal fallacy
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Reasons Against
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Reason against 1 of 2
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1.
Hume's maxim that testimony for miracles is always outweighed by uniform experience treats all miracle testimony as epistemically equivalent to weak testimony.
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2.
Earman's formal reconstruction shows Hume's argument conflates base rates of all testimony with the conditional reliability of specific corroborated testimony.
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3.
Bayesian analysis by Earman and Sobel demonstrates that sufficiently independent, convergent testimony can raise posterior probability regardless of prior improbability.
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Reason against 2 of 2
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1.
C.D. Broad noted that Hume's argument proves too much: it would rule out accepting any extraordinary historical event attested by reliable witnesses.
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2.
The testimony of multiple independent witnesses to a singular event constitutes a distinct epistemic category from generic unreliable testimony, requiring differential treatment.
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