Bennettian Systematics has been further refined and advanced by students such as A. G. E. Blake, Anthony Hodgson, Kenneth Pledge, Henri Bortoft, Richard Heath and others.
Every multi-term system so-defined has its special system-level attribute or characteristic emergent quality, such as "dynamism" for the triad, or "significance" for the pentad.
In practical Systematics, Bennett carried this process of elaboration up to the 12-term system as best he could within the constraints of the very limited technical vocabulary currently available to make such distinctions.
Bennett correlates the logical levels or leaps of qualitative complexity with what he calls the "concrete" or "qualitative" significance of number, perhaps again analogous to what Russell calls "relation number" in Principia Mathematica and in looser reference to Pythagorean traditions, although Bennett was at pains to distinguish what he was doing from various kinds of mere "numerology".
Systems progress in complexity from the monad up, and from vague wholeness to increasingly articulate structure that reaches into society, history and the ontological fabric of the cosmos.
Gurdjieff had taught the significance of the 'law of three' and the 'law of seven' in a meta-scientific context, but Bennett proposed that there was a 'law' for every integral number, and that this could help people understand practical things such as management and education.
Parallels can be drawn between Bennettian Systematics and the work of C. G. Jung and Marie Louise von Franz on number as archetypal, as well as with the philosophies of engineers such as Buckminster Fuller and Arthur Young.
A journal called Systematics was launched by Bennett’s Institute for the Comparative Study of History, Philosophy and the Sciences in 1963 to publish a diversity of articles relating to this programme.