Since no principled mapping exists from qualitative explanatory virtues to precise numerical likelihoods, probabilistic IBE introduces arbitrary parameters that Bayes' rule cannot absorb without distortion.

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Bayes' rule(as used in statistics and epistemology): A mathematical formula that updates how confident you should be in something based on new evidence; it's the gold standard in probability theory for reasoning logically.
IBE(Discussed in the context of its compatibility with Bayesian epistemology): Inference to the Best Explanation — a mode of inference in which one infers a hypothesis because it best explains the available evidence
arbitrary parameters(as used in logic and philosophy of science): Numbers or values chosen without a solid, logical reason—essentially guesses that don't follow from any principled method.
principled mapping(as used in philosophy of science and logic): A systematic, logical way of connecting one thing to another according to clear rules (in this case, connecting qualitative judgments to numerical probabilities).

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