My criticism of dialectic is not a narrow rejection of some form of the ‘critique of Aristotelian logic’, but the realization that there are many candidates for this and they have to be compared with, …standard logic. The world of Bennett’s Dramatic Universe contains a complete working out of the whole system of ‘triads’ in all possible combination on the seven levels of a hierarchy. The result is impressive, but the core idea, the triad, remains obscure: the human mind simply can’t quite work out what these triads are about. The dialectic is a somewhat obscure variant of this, but seems to be a confusion of the logical structure of contradiction, dyads, and the putative resolution of dyads in triads.
The verdict for me is simple: despite a telling statement of the problem to be solved, the problem remains unsolved: I am not aware of any exposition of a ‘triad’ that really makes sense. All we can do is put triadic Samkhya (that’s what Bennett is dealing with finally) and dialectic in a sideshow waiting on their future resolution (probably requiring a species with a different type of brain).