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It is not the case that Analogical reasoning can provide inductive support within Bayesian epistemology without incurring the logical difficulties of ampliative rules
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Reasons For
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Reason for 1 of 2
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1.
Prior probability assignments are not epistemically unconstrained: they must themselves be justified by some rule or principle.
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2.
Any principled constraint on priors that is sensitive to analogical similarity constitutes an ampliative rule in disguise.
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3.
Van Fraassen's conditionalization objections apply to any diachronic commitment to structured prior-setting, not merely to confirmation rules.
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Reason for 2 of 2
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1.
Carnap's inductive logic programs showed that formalizing similarity-based priors inevitably embeds substantive metaphysical assumptions about natural kinds.
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2.
Embedding such assumptions into a Bayesian framework does not dissolve the problem of induction but merely relocates it to the prior specification stage.
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Reasons Against
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Reason against
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1.
Analogical reasoning can be directed primarily toward prior probability assignments rather than confirmation
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2.
If analogical reasoning operates at the level of priors, it remains formally distinct from confirmation
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3.
Van Fraassen's Dutch Book objection targets rule-based confirmation, not prior probability assignments
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