The class clade is an infinite recursion that you enter when you conflate infinite class with finite class, ie, type with set, that is, when you don't "see" your own typification and subsequent categorization, and thereby can't distinguish them.
Conflation of these for conceptualization so fundamental concepts makes you turn Russell's paradox, ie, the fact that set theory leads to contradiction, up-side-down into the comprehension that contradiction instead is consistent, ie, forming a consistent class, that is, the class clade.
This comprehension is ambiguous between being correct in that clade is a consistent infinite class, but wrong in that clade is a consistent finite class, thus forming an infinite recursion between consistent and inconsistent, ie, a consistently inconsistent infinite loop, which you can't see because you're in it. Instead, you're convinced that there is a consistent solution at the end of this infinite recursion, which there thus isn't per definition.
Cladistics is thus a black hole in conceptualization that you enter when you conflate infinite class with finite class, ie, when you don't "see" your own typification and subsequent categorization, and thereby can't distinguish them. You simply don't know what you're doing.
The correct understanding of Russell's paradox is that classification is ultimately contradictory. This fact also means that process can't be classified consistently, ie, that there are always more than one consistent classification of a single process, because continuity is indistinguishable from class. Consistent classifications, in turn, can we only produce using an orthogonal system of classification, like the Linnean system. Instead ignoring Russell's paradox leads into an eternal orthogonal merry-go-round between inconsistent (contradictory) classifications, because it is infinitely recursive (per definition). Russell's paradox is thus a fact we need to relate to, not something we can ignore or a solvable problem. It is fundamentally due to the unavoidable fact that classification is orthogonal.
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