Was sin necessary for knowledge?

[Angrboda]

Just a drive-by, but it occurs to me after a quick read through the discussion that the relationship between sin and knowledge may be a paradox that is not resolvable no matter which conventional take you impose on the matter. I strongly suspect there is a fundamental incoherence in the narrative under all the traditional interpretations. But then, I have only given it cursory thought. It's well known that under certain interpretations of sin and knowledge, the narrative is incoherent. The question is, is it incoherent under all of them?