Quadrality and the Theory of Triads

Socionics is indisputably based on quadrality. Because it's built on dichotomies, everything is groups of two, then four, eight, sixteen (4 times 4), and so on. Model A is conventionally depicted as two rings, and for the types we have supervision and benefit rings, quadras, clubs, and so on. But what has not been mentioned up until this point is that, in practice, these groups of four (whether they are types, functions, elements, etc.) often manifest as groups of three - the fourth one remains hidden.

Example 1: Among the valued functions, the suggestive function is often out of sight, due to being weak and cautious. While it is an unconscious goal, people rarely prioritize it in practice - it's as if they are unaware that they need it. The remaining values (functions 1, 2, and 6) are manifest values.

This leads directly to the sub-example of quadra triads: you rarely observe that someone is, e.g. "Gamma" - there is always a bias in the information towards some subset of the quadra, such as the "Fi Gamma triad" (excluding LIE who has Fi suggestive), the "Ti Alpha triad" (excluding ESE who has Ti suggestive), etc.

Example 2: Among the strong functions, the ignoring function's goal is sometimes neglected to the point where it looks weak, due to being both subdued and cautious. We can use it when needed occasionally, as it's less stressful than the 1D functions, but not much beyond that. So, much like the suggestive, the lack of these two traits "overpowers" the presence of the third. This leads to club triads, e.g. the "Fe SF triad", the "Ni NT triad", etc. The remaining strengths (functions 1, 2, and 8) are manifest strengths.

Example 3: Among the weak functions, the mobilizing function is both valued and bold, so while clumsy and overconfident, it can be the "slow and steady one that wins the race", often developing habits over time that allow us to achieve its goal adequately for ourselves. The remaining weaknesses (functions 3, 4, and 5) are manifest weaknesses.

Example 4: The creative function, although cautious, is used with far less fatigue than the other cautious functions, to the point where it works together with the leading function amicably.

Example 5: All of the producing functions can be "blocked" with the leading function to define the type, however the vulnerable function is much more rarely used in conjunction with it. Similarly it is the one left out of the mental ring, being almost completely neglected compared to the others.

There are plenty more examples on the semantic side, to give a few:

• Ti is the structure of language. Te is the objective information conveyed via language, and Fe is the implicit aspects of communication through language. Fi's relation to language is less obvious.
• Se is "completely apparent" while Ni is "completely hidden", and Si is the balance between the two.
• The Enneagram instincts roughly correspond to Si (self-preservation), Fe (social), and FiSe (sexual). Here we have two which are grouped together instead of one being hidden.
• Se is the most masculine of the irrational elements, Si the most feminine, while Ni and Ne seem to lack gender for the most part.
• The themes of aesthetics and beauty involve Si (pleasantness, good taste), Se (outward appearance which conveys status, impact and impressiveness, and sexual attraction), and Fe (adornment and expression through choice of fashion). Fi again seems to be absent.
• Alpha is the quadra of unity (harmonious communal interaction, understanding the universe as a whole), Beta the quadra of duality (good fighting against evil, us versus them), and Gamma the quadra of multiplicity of independent things, facts, or people. Delta seems to have no particular attitude with respect to number.
• If you take all four irrational elements (or all four rational elements) you can make a square with the opposite points being either duals, extinguishers, or superegos. But you can't make them identicals since that would imply repetition.

There are even more examples beyond socionics:

• If you imagine two lights which are either on or off, we can have 1) both on, 2) only one on, or 3) both off. So four possibilities lead to three by the act of counting, i.e. by identifying the two lights.
• The one who speaks can be either truthful or a liar. The one who does not speak is merely silent.
• A car can veer off to the right, to the left, or stay on course. Its motion prevents the backwards direction from manifesting.
• An action is either in the past, present, or future. When past, you find yourself after the end. When future, you're before the beginning. In the present you're after the end and before the beginning. But you can't be before the beginning and after the end.

FOUR FROM THREE

A mandala from Jung's Red Book

Jung was particularly prescient on this topic. He would create mandalas, a kind of four-fold diagram made of a square or cross combined with a circle. He interpreted this as an archetype of wholeness, unification of opposites, and eternal evolution and rejuvenation of the Self. The triad is by comparison incomplete, deficient:

"We find a wide spectrum of four-fold symbols and systems in religion, myth, history and culture. There are four winds (Boreas, Eurus, Notus, Zephyrus), four seasons (winter, spring, summer, fall), four directions (north, east, south, west), four Evangelists (Matthew, Mark, Luke, John), four letters in the sacred name of God (YHVH), four ancient ages (gold, silver, bronze, iron), and four medieval humours: sanguine (blood), choleric (yellow bile), phlegmatic (phlegm), melancholic (black bile)to name a few.

Adding a fourth to an already established three has a transformational effect. In geometry, a fourth point transforms the two-dimensional triad or triangle into a figure with depth, the cube and the tetrahedron (a form lapis). As the mathematician Michael Schneider observes, “There are always four ways (another quaternity) to look at any three-dimensional structure: as points, lines, areas, and volumes, or as corners, edges, faces, and from the center outward (63). Ellenberger notes that “The quaternity can appear as a geometric figure of square or sometimes rectangular shape, or it will have some relation with the number four: four persons, four trees, and so on. Often it is a matter of completing a triadic figure with a fourth term, thus making it into a quaternity” (712). Jung searches for the quaternity when a trinity is encountered, “Jung over and over again in his writings returns to the alchemical question: “Three are here but where is the fourth?” (Edinger 189). The completion of the quaternity is seen frequently in alchemical works, even whimsically, “All things do live in the three/ But in the four they merry be” (quoted in CW 12 125)." [Source]

 Augusta may have been inspired by this to complete Freud's triad of ego, id, super-ego with "super-id" (although the analogy with the actual functions is a bit weak).

Dualization itself is completion of the four quadra values from two overlapping threes, where your leading function completes your dual and vice versa.

The theory of signed elements completes the three function dichotomies with a fourth, to produce 16 functions.

But socionics as a whole is based on Jung's four functions and is in this sense already complete. So the question becomes, how do we derive the three from the four, the appearance from the reality? Each triad is such a derivation.

"The goal of psychic development is the self. There is no linear evolution; there is only a circumambulation of the self" (Jung, MDR 196)