Your explanations all used induction. Tim, The fact that the explanations have all assumed the validity of induction is not problematic at all. Those Christian theists who have interacted with you have sought to show how that assumption is consistent with their overarching picture of reality. What has been reapeatedly asked of you, Tim, is that you provide such an explanation given your presupposed ontology.
People seek to give explanations for that which is assumed all the time.
The history of epistmology is just one evidence of that. We assume that knowledge is possible and subsequently ask how that is so. It is like me saying. I will prove that my email contains words. It would be gibberish if I said that.