My aim in this article is to widen the scope of the current debate on peer disagreement by applying it to a kind of case it has hitherto remained silent about – namely, to cases of disagreement in which one of the disagreeing parties bases her opinion on a private religious experience to which the other party has no access. In order to do this, I will introduce a modified version of the notion of peerhood – a version that, in (...) contrast to the one employed in the current debate, can be fruitfully applied to the troublesome kind of case in question. I will then employ this new notion in order to specify the degree of conciliation rationally required from the disagreeing parties in the kind of case in question. (shrink)