DH-3.5: Disagreeing with the author's Disagreement Hierarchy.

This category is particularly troublesome, as even when both parties agree, in principle, to disagree, they may still disagree on how to disagree.

One particular nuisance is the disagreer who seeks to impose a disagreement meta-hierarchy on the problem of agreeing on a disagreement hierarchy. That way is turtles, all the way down.

Where do we end up if it goes to DH-infinities?

You could make that DH0.