Willi Hennig's (the father of cladistics) fundamental mistake was to assume that change is consistent, ie, non-contradictory, based on his irrational axiom that classes are real. This assumption is wrong per definition, ie, change is contradictory per definition, since change is indistinguishable from contradiction per definition.
For example, change from possession of legs to lack of legs (as in the hypothetical loss of legs between lizards and snakes) is indistinguishable from, ie, equals, contradiction between possession of legs and lack of legs.
It means that change is contradictory per definition, that is, the opposite to Hennig's assumption.
This fact means Hennig's assumption that there is a single unambiguous, ie, non-contradictory, clade, called "the tree of life", to be found is wrong per definition. Fact is, instead, that there isn't any non-contradictory clade (to be found) at all per definition. The class clade actually equals the class contradiction. It is nothing but contradictory.
"Only acknowledging clades", as in cladistics, thus equals "only acknowledging contradictions". This approach is thus irrational and practically empty, and thereby impossible to explain (or understand) consistently. We can, however, understand that its fundamental error resides in its axiom that classes are real, and the corollary assumption that change is consistent. It isn't. Instead, change is contradictory per definition, and classes are abstract per definition. And, a contradictory abstract can't be turned into a consistent reality by simply acknowledging it.
Dream is dream and reality reality, and never will the two meet.
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