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Hexad

System Attribute: 
Coalescence (also, the Forms of Events, Independence)
Term Designation: 

Law (laws govern the coalescence of events)

Term Characters: 

Order, Expansion, Identity, Freedom, Concentration, Interaction

These are also the six fundamental laws that govern all events permissible by the nature of existence.

Connectivity of Terms: 

First order connectivities: Steps

System Description: 

A situation with potentiality passes into greater concreteness by an act of realization. Realization is a substantial transformation that leaves behind it something more than a succession of states. It is contrasted with actualization in which each succeeding state is wholly merged into the next. The character of realization can be expressed by saying that we have an event and that every event can be conceived of as a Present Moment. If we put to one side our usual prejudice that the mind is 'going-on in time', we can see that 'mind' is a present moment organized and disorganized by supra-conscious and subconscious actions, and unified by an act of will. The degree of unification determines the strength of coalescence of that mind.

Coalescence is accomplished by a synthesis of different modes of action. These are found in the second order connectivities of the triad, and are given the name 'laws'. The six terms of the hexad are the basic laws of possible events. The combination of modes of action gives rise to the subsidiary attribute of cyclicity, and events are often in fact studied as constructed out of recurrent phases of action.

Coalescence involves both the manifestation of a higher level of order in a lower and its maintenance - through the triads of expansion, order and identity - and also the evolution of lower levels of order into higher - through the triads of concentration, freedom, and interaction. The hexad is, then, crucial for the study of history, and also for grasping (he fundamental structure of the fulfillment of complex tasks. It shows how self-contained or independent structures can arise.

References for the Hexad:

  • Main:
    • Remo Roth (re. Carl Jung and Wolfgang Pauli)
      • Intuition is the dawning awareness of the experienced, but at first unconsidered, newly occurring, unique, system-defining fourfoldedness apprehending and the epistemological system search for the sixfolded system interrelationships. Comprehension, often misidentified as "understanding," occurs when the six prehending interattractive relationships of the fourfoldedness are identified.
    • Remo Roth on Nicolas von Flue
    • Remo Roth on the alchemical wedding
    • Bethe Hagen Divine Feminine as Geometric Consciousness not yet in public domain
    • The Hexad in the Enneagram
  • Associated Gods, etc.:
  • Traditional:
    • Sumerian
      • Numerical notation in Sumeria
    • Lilith
      • Six seems to be a sacred number to Lilith. The mariliths have six arms, the 36 platters and the 216 mariliths that were born
    • Traditional qualities of six
      • Six represents equilibrium; harmony - balance. It is the perfect number within the decad: 1+2+3=6. It is the most productive of all numbers.
      • It symbolizes union of polarity, the hermaphrodite being represented by the two interlaced triangles, the upward-pointing as male, fire and the heavens, and the downward-pointing as female, the waters and the earth.
      • Six is the symbol of luck; love; health; beauty; chance. It is a winning number at the throw of the dice in the West.
      • There are six rays of the solar wheel and there are six interlaced triangles. There are six pointed stars or Seal of Solomon - and Star of David - Merkabah
    • Six days of creation
    • Hexad as basis for manifestation
      • Yet, somehow, in the midst of the Chaos, the Unity, the One, did form itself, self-begotten, and out of the constant homogeneous turmoil formulating the Triad of +, - and =, a triad so abstract as best to be pointed to and not given word. This triangle of Form and co-mingled forces creates the primal forms. It is the first and only structure of which our Universe is formed. By reflection the Triangle formulates the Hexad, the basis for manifestation within the World.
  • Levels:
    • Hexagrams in the I Ching
    • Six Levels of Complexity
      • 1st level of complexity: the process takes place mainly between 2 concrete participants (simple movement). Control by the environment, not yet a system (solidum).
      • 2nd level of complexity: the process orders the movements, it is horizontally (temporally) oriented, and passes in each case through 4 stages (movement project). The system is the sum of the elements and orders itself through its elements (equilibrium system).
      • 3rd level of complexity: the process distributes energy (demanded products), it is vertically (between superior and inferior environment, market) oriented and passes in each case through 4 bonding levels (flow process). The system is more than the sum of its elements, it regulates itself as a whole (flow-equilibrium system).
      • 4th level of complexity: the process converts energy into products, it is horizontally (temporally) oriented, and passes in each case through 8 stages (7 by overlapping) (process sequence), it is based on division of labour. Each system organises itself structurally as a whole (non-equilibrium system).
      • 5th level of complexity: the process is vertically (hierarchically) oriented and in each case passes through 8 hierarchical levels (7 by overlapping)(hierarchical process). Each system generates itself structurally by organising its elements and subsystems (hierarchic system).
      • 6th level of complexity: process is horizontally (spatially) oriented, and probably passes 16 spheres (13 by overlapping) in each case (universal process, universal system). Each system within the spheres generates itself materially: autopoiesis.'
    • Six Levels of Healing in Chinese Medicine
      • The Six Levels are first heard of from Zhang Zhong-Jing in the Shang Han Lun from about 220 AD or about 1700 years ago.
      • The six stages are:
        • Tai Yang or initial yang
        • Yang Ming or greater yang
        • Shao yang or lesser yang
        • Tai Yin or initial yin
        • Shao Yin or lesser yin
        • Jue Yin or greater yin
      • As can be seen the names of the levels are the same as the names of the head and foot pairs of acupuncture meridians. The order is roughly the order that a disease takes as you go from health to death. In some disease levels are skipped or the order can change.
    • Six Levels of Healing in the Kabballah
  Level of the soul Level of Healing
6. etzem haneshama the essence of the soul miraculous Divine power
5. yechidah “the single one” “as though the Holy One dwells within him”
4. chayah “the living one” “the light of the Torah gives him life”
3. neshamah “breath [of life]” Holy Names
2. ruach “spirit” charms
1. nefesh “innate life force” medicines
  • Spiritual:
    • Magic hexad ( re. Lucian Blaga)
    • Manly P Hall - The Secret Teaching of All Ages
    • Sam Webster
      • Yet, somehow, in the midst of the Chaos, the Unity, the One, did form itself, self-begotten, and out of the constant homogeneous turmoil formulating the Triad of +,- and =, a triad so abstract as best to be pointed to and not given word. This triangle of Form and co-mingled forces creates the primal forms. It is the first and only structure of which our Universe is formed. By reflection the Triangle formulates the Hexad, the basis for manifestation within the World.
    • Paradigm of Christ (re. Heidegger)
      • Dasein analysis in Being and Time is constituted from the horizons of the temporality. According to Heidegger, the temporality makes the transcendental movement possible. The temporal set of the future, the past, and the present in inauthentic existence and that of the coming towards, having been, and making present in authentic existence respectively project transcendental movement.
      • The Paradigm of Christ is an ontological inquiry into the transcendental movement. While Heidegger in Being and Time analyzed Dasein in terms of temporality, the Paradigm of Christ analyzes it in terms of the structure of life's impulses. This transcendental movement is a simultaneous occurrence of life's movement; its division (spectrum) and unity in formal dimension, and decomposition (darkness) and integration in the material dimension. It can maintain a constancy through the external biological supply of physical energy.
      • The operative intention in the passive synthesis, or intention towards various beings in the later Husserl, and Merleau-Ponty's operative intention are virtually the same as the transcendental movement. In the Paradigm of Christ, we simply call it life's movement. It is the simultaneous occurrence between the form and the matter in the spirit based on the nature of light. Life transcends itself to the world through this movement.
  • Scientific:
    • Geometric Earth Model
      • To Begin, The Geometric Earth Model discovered by the ancient astronomers and mathematicians (ref. India and Egypt ) are two triangles , one inverted , that form a six pointed star. It is these points that are measured in relationship to the earths position in space relative to the solar angle. The upper triangle representing the surface ( hard particles ) and the lower inverted one representing the earths inner surface ( soft particles ) The ancient mathematicians and physicist used two lines of base numbers . A bottom math line numbering zero through four and above it , a time line numbering Five through Nine.
    • Six Dimensions of the Lorentz Group of Special Relativity
    • Six the number of unity (ref. Buckminster Fuller)
      • The key to the comprehensive analysis of general number behavior is found in the concept of "circular unity." Circular unity is an idea demonstrated by the harmonious interaction of the first six numbers. SIX is the first perfect number is the sum of its first three digits, or 1 + 2 + 3 = 6.
      • The term "unity" (or Universe for that matter) implies something that is composed of parts. Fuller agreed, and stated it as, Unity is plural and at minimum two, or at minimum six.
    • Synergetics (Buckminster Fuller)
      • And since every event is always accomplished with six equieconomical, four-dimensionally directioned moves__the four dimensions being (1) inwardly, (2) outwardly, (3) circumferentially and equatorially around (axial spinning), and (4) polarized, involutionally-evolutionally, inside-outingly around__by means of the alternative, equimaximally economical optional move events you might find by the close of each event that you are six, five, four, three, or two radial zones outwardly in any direction from where you started__or right back where you started__and you soon come to the complex invention of thus-far-discovered billions of galaxies consisting of approximately 100 billion stars of the macrocosm and multibillions of invisible-to-naked-human-eye, microcosmic, associating and disassociating behavioral identities, altogether camouflaged beneath the blanket of make-believe "reality" of exclusively terrestrial politics and economic me- firstings, whose nonsensical preoccupation we call "today." It is doubtful that the million- light-year-distanced Andromeda nebula has any interest in Republicans or Democrats, communists or capitalists, or any other terrestrial partisanships.
      • So it could be that human beings, wherever they occur in Universe, may be introduced as a means of coping metaphysically with the most complex kinds of local Universe problems, so that each one of us is where the problem-solving of Universe is being transacted. If we were to think of ourselves as things__as china dolls, as kinds of china dolls that would just get smashed up or would just get worn or eroded away__that wouldn’t be very good thinking. It would be much closer to actual Universe to think of ourselves as an absolutely continuous complex process. We are quite possibly the most complex of the problem-solving challenges of the invention that is eternally regenerative Scenario Universe. In this way each of us might be a department of the mind of what we might call god.
      • All systems have a neutral axis of spinnability, with two external polar vertexes and two interior center axis vertexes which are congruent__ ergo, visible only as one vertex located at the convergence-divergence, integrative-disintegrative, inbound- outbound, turnaround, neutral center of gravity-center of radiation of the system.
      • The exterior and separate set of two polar vertexes is the additive twoness of systems, and the congruent exterior-interior set is the multiplicative twoness of all systems. The interior-exterior differentiating fourness has an interrelated sixness that differentiates as a unique third kind of twoness of unique interrelatedness of all systems.
    • Gyroscopes
    • Six Types of Chemical Reaction
      • All chemical reactions can be placed into one of six categories. Here they are, in no particular order:
        • 1. Combustion: A combustion reaction is when oxygen combines with another compound to form water and carbon dioxide. These reactions are exothermic, meaning they produce heat. An example of this kind of reaction is the burning of napthalene
        • 2. Synthesis: A synthesis reaction is when two or more simple compounds combine to form a more complicated one. These reactions come in the general form of: A + B ---> AB
        • 3. Decomposition: A decomposition reaction is the opposite of a synthesis reaction - a complex molecule breaks down to make simpler ones. These reactions come in the general form: AB ---> A + B
        • 4. Single displacement: This is when one element trades places with another element in a compound. These reactions come in the general form of: A + BC ---> AC + B
        • 5. Double displacement: This is when the anions and cations of two different molecules switch places, forming two entirely different compounds. These reactions are in the general form: AB + CD ---> AD + CB
        • 6. Acid-base: This is a special kind of double displacement reaction that takes place when an acid and base react with each other. The H+ ion in the acid reacts with the OH- ion in the base, causing the formation of water. Generally, the product of this reaction is some ionic salt and water: HA + BOH ---> H2O + BA
    • Cycle of Mercury
      • Mercury in the environment is constantly cycled and recycled through a biogeochemical cycle. The cycle has six major steps:
      • 1. Degassing of mercury from rock, soils, and surface waters, or emissions from volcanoes and from human activities.
      • 2. Movement in gaseous form through the atmosphere.
      • 3. Deposition of mercury on land and surface waters.
      • 4. Conversion of the element into insoluble mercury sulfide.
      • 5. Precipitation or bioconversion into more volatile or soluble forms such as methylmercury.
      • 6. Reentry into the atmosphere or bioaccumulation in food chains.
    • Six-Dimensional Shape
    • Six Biomes
    • Recurrent time
    • Eternal Recurrence
  • Sociological:
    • Six modes of leadership
      • Servant Leader.
      • Direction Setter.
      • Steward for high standards and results.
      • Motivator/Coach.
      • Changemaster.
      • Role Model.
    • Six Roles of Strategic Planning
      • 1. Setting Organizational Direction
      • 2. Concentration of Effort
      • 3. Understanding the Organization
      • 4. Understanding the External Environment
      • 5. Keeper, Seeker, Disseminator of Information and Values
      • 6. Springboard for Action
    • Six Thinking Hats – Edward de Bono
      • • White Hat:
      • With this thinking hat you focus on the data available. Look at the information you have, and see what you can learn from it. Look for gaps in your knowledge, and either try to fill them or take account of them.
      • Red Hat:
      • 'Wearing' the red hat, you look at problems using intuition, gut reaction, and emotion. Also try to think how other people will react emotionally. Try to understand the responses of people who do not fully know your reasoning.
      • • Black Hat:
      • Using black hat thinking, look at all the bad points of the decision. Look at it cautiously and defensively. Try to see why it might not work. This is important because it highlights the weak points in a plan. It allows you to eliminate them, alter them, or prepare contingency plans to counter them.
      • • Yellow Hat:
      • The yellow hat helps you to think positively. It is the optimistic viewpoint that helps you to see all the benefits of the decision and the value in it. Yellow Hat thinking helps you to keep going when everything looks gloomy and difficult.
      • • Green Hat:
      • The Green Hat stands for creativity. This is where you can develop creative solutions to a problem. It is a freewheeling way of thinking, in which there is little criticism of ideas.
      • • Blue Hat:
      • The Blue Hat stands for process control. This is the hat worn by people chairing meetings. When running into difficulties because ideas are running dry, they may direct activity into Green Hat thinking. When contingency plans are needed, they will ask for Black Hat thinking, etc.
    • Six Learning Networks
      • 1. Work network: With whom do you exchange information as part of your daily work routines?
      • 2. Social network: With whom do you "check in," inside and outside the office, to find out what is going on?
      • 3. Innovation network: With whom do you collaborate or kick around new ideas?
      • 4. Expert knowledge network: To whom do you turn for expertise or advice?
      • 5. Career network: Whom do you go to for advice about the future?
      • 6. Learning network: Whom do you work with to improve existing processes or methods? [This seems a little odd - it is very much couched in terms of the workplace, rather than the people with whom I work to advance my own knowledge.]
    • Six Aspects of Culture
      • Formal Culture
      • Deep Culture
      • Situational Culture
      • Language and Communications
      • Humanistic Values
      • Historical Culture
    • Six Dimensions of Activity
    • Bloom’s Taxonomy
      • Knowledge (memorization)
      • Comprehension (understanding)
      • Application (problem-solving)
      • Analysis (dissection)
      • Synthesis (creation)
      • Evaluation (judgment)