You are very big on telling others what they can not know. Your lack of confidence in the explanatory powers of induction and deduction does not in the least way touch on their utility and validity.
But I see now you are trying to extricate yourself from the discussion and save face at the same time.
That's a pity, and a waste.
Both of you!
Step back, take a breath, count to ten if necessary.
I think we ALL are taking offence when none was intended, at least as I see it.