A recapitulation of the previous theoretical description of the quadralectic communication will be given here. It is essential at this point to understand the nature of the four-fold division and the character of the various quadrants before the implications of this knowledge can be used in practical situations.
The CF-graph, consisting of sixteen line fragments, is the universal expression of a communication between two parts in a tetradic division environment. The abbreviation CF (for values on the Y-axis) stands for the so-called Communication Factor. This figure is a measure for the distance between the communication partners at a certain point in time and place. The universal expression of the quadralectic communication was completed by the author in 1985.
The First Quadrant (I)
The First Quadrant is the first compartment on the universal communication division. The area is understood to be void of any recognizable particulars, of which the absence of division is the most prominent feature. Therefore, any distinction of an outline is impossible. The ‘visibility’ in the First Quadrant is a projection from temporal and locally determined distinctions made after a division took place.
The environment of the First Quadrant can be compared with the space in a tunnel. What is a tunnel? A hole or an empty space with walls? The emptiness in the tunnel only gets its meaning by the walls that limit its existence. Not every empty space is the same, and the denotation is established in a description of its boundaries.
The First Quadrant is the ’empty space’ in a communication cycle. Paracelsus called the primary emptiness the ‘IIiaster‘ (Primum Ilech; Illeias) (WAITE, 1894). The First Quadrant provides the opening in which a communication can develop in due course. The sense and concealed contents of the First Quadrant can only be measured from another quadrant. It would – in a dualistic perspective – be called the invisible invisibility. This type of visibility is just as important as the visible visibility of the material: presence is, in the end, not only a matter of observation, but also of faith.
The acceptance of a transcendental area of complete inaccessibility has consequences for man in a cosmic environment. This is the terrain of unsolved questions and unimaginable distances and, above all, the knowledge that we are literally, the Small Part (SP) or Minor in a communication. Our own shortcomings determine the outcome of our interaction with the universe, our world, our fellow men and, finally, ourselves.
The invisible and incomprehensible part in the field of observations is a basic human understanding. Religions have been built on it. God and gods are worshiped as the representatives of some imperceptible empire, with other rules and outside a direct observation. The different types of religious beliefs have one characteristic in common: they all try to express the abstract world of the First Quadrant in terms of the known. Man is not satisfied with an ’empty space’ within his mind. Something has to be there. The First Quadrant became a great place of extrapolations from the visible world, a gathering place of (creation) myths, orientations and projected experiences.
The First Quadrant is the birthplace both of division-thinking and religious opinions. It will come to no surprise, that within this context, the name(s) of the god reflects the relation with the elementary division thinking and consists of three or four letters. The choice of the word for the godhead provides a point of reference to the division in which the god springs to life. ‘Belief’ – in its most general form – is encouraged within the quadralectic way of thinking. Not as a means to conquer the truth or pretend to find the ultimate reconciliation, but as a means to get access to the creativity of the invisible. Belief is a means to join and enjoy the huge space of the invisible invisibility and use its unimaginable possibilities. No communication can do without it.
The Second Quadrant (II)
In the Second Quadrant starts the Odyssey, a quest for an overture. There is a tendency to an approach. This advance is a process, which results at a given moment in a first sense of ‘visibility’ – like an idea, an interpretation. These initial notions can only occur when a division (of the Oneness of the First Quadrant) has taken place – on the border of the First and Second Quadrant. A structure of thoughts develops into a first visibility (FV). This moment of equilibrium in the second quarter of the Second Quadrant (II, 2), is a period of preparation for the things to come, for a further advance towards to ultimate possibilities of a communication.
The exact position of the visibility moment cannot be established in the Second Quadrant, because the official unit of measurement has not yet been introduced. In dualistic terms one could speak of an invisible visibility. That means: the visibility has a cognitive framework (build from the components of the third quarter of the Second Quadrant (II, 3), but lacks the visible measurements of the Third Quadrant.
The difference of approach to visibility has a direct bearing on the duration of a communication. Visibility consists – in a dualistic model – of two parts, and the moment of first visibility is in the middle of the communication cycle. The first visibility occurs in a quadralectic model at 5/16th of the cycle, and 11/16th part of the cycle is still to come. This difference leads to the important conclusion that the moment of visibility is tied up with the primary division. The expectations of a two-tier thinking are fundamentally different from those of a four-tier.
The Third Quadrant (III)
The visibility of the Third Quadrant has a dual character, also known as the ‘classical’ visibility. The observation is secured to an empirical reality, which is incorporated as a material unit of measurements (the part).
The quadrant starts (and finishes) with a CF-value of 11, the value which was chosen as the (arbitrary) boundary of visible visibility. The definition of this ‘double’ perception can be interpreted in the oppositional spirit of the Third Quadrant: the ‘ultimate’ physical visibility is either absolute or relative.
The first type of observation takes place in a closed system with (temporary) fixed boundaries. The object of observation (like an apple falling off a tree or an atomic system) should be an independently existing physical reality. The observer is just watching the process and gains empirical knowledge. The metaphor of a clockwork has been used to indicate this outlook in Newtonian physics.
The second type of attention is active in an open system with dynamic boundaries. Nothing is ‘fixed’ in the classical sense, but randomness becomes a central theme. Modern physics, involved in the observation of physical phenomena, devotes a lot of attention to the statistical tendencies of the material and its behavior according to the laws of probability.
The Fourth Quadrant (IV)
The Fourth Quadrant gives a mirror image of the Second Quadrant. Visibility increases rapidly in the first phase, to reach the point of greatest approach (CF = 6) for the second time. Then a strong climb to end of the communication cycle (CF = 15), passing the Receding Point (RP) and Last Visibility (LV). There is, however, a great difference with the Second Quadrant, because the observer in the Fourth Quadrant has all the tools at hand to express the four types of visibility. This abundance possesses its own problems and creates a growing invisibility, caused by the shear impossibility to take all possibilities into account.
The Fourth Quadrant offers the chance to utilize the four quadrants simultaneously. The (old) opposition between the linear, straightforward approach and the cyclic setting breaks down. Both motions merge, because in the full understanding of things, there is no difference. Any linear progress, if carried out long enough, becomes cyclic. And any large cyclic move can be regarded as linear if the scale is small enough. The very end of the Fourth Quadrant opens a perspective with innumerable positions and situations. This richness can only be perceived in the right consciousness of scale.
The theoretical and descriptive side of the quadralectic way of thinking will at this point left behind, and the attention will shift to the practical applications of the communication model. Several comparisons with existing ‘shift’ operations will be given first, later some direct usage of the new apprehension is added. The quadralectic way of thinking must prove its viability in the real world, just like any other theory. The final aim (of the quadralectic postulate) is to be of use as a universal hypothesis, applicable in all imaginable situations.
Visions of Four Notions 