Cladistics is the ultimate paranoic trap for theorists that begin with the axiom that classes (instead of objects) are real

What cladists don't understand is that their idea "the class clade" is contradictory, due to that the class object and the class class contradicts each other. The reason is that objects participate in one orthogonal system with its two aspects pattern and process, whereas classes participate in another orthogonal system with its classes in classes, and that these two orthogonal systems are orthogonal to each other.Such orthogonal relation between two orthogonal systems is actually a double ambiguity between the two kinds of entities of the two systems, which, in turn, actually is a contradiction (i.e., a paradox). The class object does thus contradict the class class, and vice versa, making up a paradoxical relation.

Such double ambiguity (i.e., paradoxical relation) between classes (i.e., objects and classes) may be comprehended as an unambiguity, following the principle that "two wrongs may be comprehended as one right", but it is a (practical) illusion. The problem is that every possible specific solution of one of them is contradictory with all specific solutions of the other. There is thus no specific solution that is not contradictory between them (i.e., the two orthogonal systems); but the illusionary unambiguity is restricted to a generic level. The relation thus appears unambiguous in a theoretical sense, but is contradictory (i.e., paradoxical) in a practical sense.

Cladistics is thus the ultimate paranoic trap for theorists that begin with the axiom that classes (instead of objects) are real, like many biological systematists do. Sooner or later they are bound to arrive to the class clade, which then has to be real (i.e., unambiguous), although it factually is contradictory (i.e., paradoxical). At this point, these theorists have only two options: to reconsider their approach, or to go all the way (that is, to argue contradictory for a contradiction). I can see examples of one of them (e.g., Malte Ebach), but guess that there are examples of the other too although I don't see them. My aim is not, however, to convert cladists, but to protect young students from cladistics.