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Advanced Principles IIIa

More on Sub levels in Triplicities

As discussed in the Basic Principles, we reduce a subject area, or a framework of knowledge, to a simple system possessing a three-fold nature, and apply a Geometry to this system. However, this simple reduction to a 3-part system is not absolute, it is just a guide to aid us in understanding complex systems of information at a particular level.

Information is layered, which means that within any one order of magnitude of detail there are finer, more detailed sub-orders of magnitude. The closer one looks at a particular element of a system, the more details, though on a more specific level, are found. If we wanted to examine the subject in greater detail, or define its elements in more specific terms, we can accommodate this need by modifying the Geometries to show this detail.

A particular Geometry may at one level quite clearly depict the major Triplex aspects of an information system, but at the same time, there may be much more information associated with each of the three major aspects within this Triplicity. We can therefore reduce the information contained within any one of the polarities to a further Triplicity, but on a deeper level. In effect we have Triplicities within Triplicities. These are called sub-level Triplicities.

For example, when analysing the strategic principles in Chess, at a general level we can divide the gameplay into three major components; Opening, Mid-Game, and End-Game. (see diagram 1)

Diagram 1. The Opening-Mid Game-End Game Triplicitiy of Chess

At a general level, this is a sufficient method to describe strategy in the game of Chess. However, we all know the game is more complex than this. If we wished to examine the gameplay in greater detail, for example, look at various strategies used in the Mid-Game, we would find, at a deeper level, more information which could be reduced to a three-fold system of understanding. In fact, in the Mid-Game stage of Chess, there are three major types of moves that have been identified by researchers, called Attacking Moves, Defensive Moves and Tactical Moves.

So now we can state that the Mid-Game stage of the Triplicity contains sub-Triplicities. (see diagram 2).

Diagram 2. Mid Game Sub-Triplicities.

When confined to studying Chess moves only, we can reduce the information to a three-fold system of its own, and can label it the "Attacking-Defending-Tactical Moves Triplicity of Chess", but since we are discussing Chess on a general level where we use the label "Opening-Mid Game-End Game Triplicity of Chess", if we refer to the individual types of moves, we must recognise they exist on a different level of discussion, and therefore we must label the moves the "End Game Sub-Triplicity of Attacking-Defending-Tactical Moves of Chess"

Likewise, when we wish to study Openings in greater detail, first we scale in on a higher order of magnitude and observe the various types of Opening moves. We then identify their major characteristics, then reduce that knowledge to a sub-triplcity. And as it turns out, Chess researchers have indentified three major types of Opening moves, Aggressive, Defensive, and Impartial. (see diagram 3)

Therefore we now create the Triplicity of "Aggressive-Defensive-Impartial Triplicity of Chess". However when we are discussing Chess gameplay in terms of its three major polarities, Opening-Mid Game-End Game, if we refer to types of openings, we must label them the "Openings Sub-Triplicity of Aggressive-Defensive-Impartial Moves of Chess". Confusing? Maybe. Logical? Yep.

Diagram 3. Opening stage Triplicities

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