Since rationality requires that one's beliefs reflect one's evidence, endorsing a belief while simultaneously affirming one's evidence undermines it produces a self-defeating doxastic state that no coherent epistemic agent can occupy.
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coherent(de Finetti's usage in the context of the Dutch Book argument for probabilism)
A subject is coherent if their unconditional degrees of belief do not permit a Dutch Book (a guaranteed loss through a combination of bets) to be made against them
epistemology(Contrasted with purely descriptive scientific inquiry)
A normative enterprise that tells us how we ought to reason from evidence and how we ought to justify our beliefs, as distinct from merely describing how we do reason or justify beliefs
rationality(Traditional conception being challenged by epistemic relativists)
A cognitive virtue and hallmark of the scientific method, intimately tied to requirements of consistency, justification, warrant, and evidence for beliefs.