The class clade is an infinite recursion, ie, an infinite loop

The class clade is a set that includes itself as a member, meaning that it is an infinite recursion. It is actually the same process as a single clade illustrates, that is, a dichotomous propagation, run backwards. As such it is infinitely contradictory, ie, loops in an infinite contradiction.

It means that cladistics can only produce an infinite sequence of contradictory clades. Its search for clades just goes around, and around, and around....all possible contradictions.