I don't think your 2nd example is correct, and I suspect that you are over-thinking the meanings. A priori just means 'beforehand, before the fact' and a posteriori just means 'afterwards, after the fact'. Our a priori expectations were that the state-based CART classification model would perform better One knows it, not by a priori theorizing, but by a posteriori research, interpretation, history, dialectic Christianity's truth, he says, comes not from some a priori authority, but is corroborated by its coherence with all that is true.
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