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Let me try to restate, to be sure I have understood correctly:
We cannot stop once we have exhausted the evidence because explanations of equal predictive power have different ontological implications, and these implications must be accounted for in determining the best explanation. Further, we don't have a way to exclude other ontological implications we have not considered.
Question: why don't the ontological implications of our method of analysis constrain us to observing explanations with similar ontological implications?
Maybe they can[*], but it is not exactly a good thing...if you stick to one method of analysis, you will be in an echo chamber.
[*}An example might be the way reality looks mathematical to physics, which some people are willing to take fairly literally.