Using Bayes' theorem as a mathematical identity does not entail the epistemic commitments—priors, conditionalization, coherence—that define Bayesian inference as a normative framework.
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Normative framework(the broader system of rules that might underlie moral language)
A set of rules or standards about how things *should* be or *ought* to be done, rather than how they actually are.
Priors(as used in probability and epistemology)
Your initial assumptions or beliefs about how likely something is before you consider new evidence (like guessing the probability before looking at the facts).
coherence(Applied uniformly by Bosanquet to both religious and non-religious truth claims.)
The standard by which truth is assessed — a belief or system of beliefs is true insofar as it forms a consistent, internally unified whole.
conditionalization(Bayesian epistemology)
The process of updating prior beliefs to interim beliefs by conditioning on the agent's hard information