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3s Enthusiasts as of June 6th, 2025

If your are a conventional thinker absorbed in the present cultural orientations of past ideas as an Ideal representation of truth, this is due to the fact you are not familiar with the concept of Trichotomization in reference to a developmental state of human human cognition involving consciousness. From this (List of Dualities) page of the wikipedia, we find more of the same dualistic referencing. However, I became aware of it by venturing to this page: A List of Dualities.

• Alexander duality
• Alvis–Curtis duality
• Artin–Verdier duality
• Beta-dual space
• Coherent duality
• Conjugate hyperbola
• De Groot dual
• Dual abelian variety
• Dual basis in a field extension
• Dual bundle
• Dual curve
• Dual (category theory)
• Dual graph
• Dual group
• Dual object
• Dual pair
• Dual polygon
• Dual polyhedron
• Dual problem
• Dual representation
• Dual q-Hahn polynomials
• Dual q-Krawtchouk polynomials
• Dual space
• Dual topology
• Dual wavelet
• Duality (optimization)
• Duality (order theory)
• Duality of stereotype spaces
• Duality (projective geometry)
• Duality theory for distributive lattices
• Dualizing complex
• Dualizing sheaf
• Eckmann–Hilton duality
• Esakia duality
• Fenchel's duality theorem
• Grothendieck local duality
• Hodge dual
• Isbell duality
• Jónsson–Tarski duality
• Lagrange duality
• Langlands dual
• Lefschetz duality
• Local Tate duality
• Opposite category
• Poincaré duality
  • Twisted Poincaré duality
• Poitou–Tate duality
• Pontryagin duality
• S-duality (homotopy theory)
• Schur–Weyl duality
• Series-parallel duality^[1][2]
• Serre duality
• Spanier–Whitehead duality
• Stone's duality
• Tannaka–Krein duality
• Verdier duality

Whereas the ancient Chinese attempted to move into a "Trinary" model of thinking with respect to the Triads in the I Ching (book of changes) involving metaphysics and spirituality, Western civilization pursued a different route that was initiated oriented towards commerce and geometry, which some might identify with practicality. However, what we see today is that at the other side of "pure" mathematics is an inclination to indulge in the presumed art of speculation, supposition, and otherwise metaphysical considerations of perception. This is why Mathematics is often described as an art or even a type of music with its own biology. Of course, different analogies can be used to describe the present state of the human mind in its desire to pursue greater truths and provide illustrative proofs called equations.

Whereas the ancient Chinese attempt to develop a Trinary model for understanding reality, its efforts fell short from being able to provide illustrative proofs. However, Western devised Mathematics has barely begun to explore a tripartite model of conceptualization because it fails to recognize its dependency on dualities. No less, the attempt by the ancient Chinese failed because they also used a platform of dichotomy to construct their house of triads on. When we look at the so-called triads exhibiting a 3-part configuration of two sets of different line quantities, most people fail to recognize that the use of a single line represents the male "penis" principle and the two-line configuration represents the female "vagina" principle. (The use of the word "principle" was an older means of being scholarly and not give the impression of engaging in pornographic language, due to the sensibilities of former eras.)

But let me be fair, Western Mathematics has attempted on some occasions to develop a trinary orientation such as is exhibited by Trigonometry (the 3-poart Pythagorean theorem), set theory, and in particular the use of a basic 3-part Boolean (AND- OR- NOT) logic applied to... yet another system of dualities called the zeros and ones of computer language based on the on/off characteristics of an electrical circuit. In fact, computers are much like a collection of fast moving on and off switches.

The attempted development of a Quantum computer is based on the case for using a ternary/trinary logic. In other words, they require a counting system which does not rely heavily on a foundation of dichotomization. What researchers in this field are doing without realizing it, is trying to establish a new model of Mathematics with its own unique history so that it does not find itself facing a cul de sac of inquiries that present Mathematicians are in. Whereas the old Yin/Yang perspective of reality was not enumerated in terms of associating it with commercial interests, and that the later attempt to exceed this formula of thinking to reach a "3" was genuinely original, it has fallen short because its intended application did not provide illustrated proofs. In other words, if we take cues and clues from both the Chinese system of non-commercialized dichotomies and the Western system of commercialized dichotomies, we are left with a new path of consideration.

To do so, we need to adopt a new methodology for perceiving reality. Dogmatism from either side of this equation gets us into a stalemate. This is where the study of threes comes in. It provides a model of thinking about the reality of cognitive behavior such as the application of a counting theme to perceptions developed in all subjects. By so doing, it will exhibit our limitations and the variables we frequently dismiss. The resulting equation will be... an acceptance of the need for a counting system based on a trinary acknowledgment of the binary dependency which present mathematics has and instead use a multiplicity of three-patterned cognitive ideas to formulate a counting system based on a 3-part sharing associated at a distance from its application solely or mostly with no commercial interests, even though others will apply it to such an end.

And along with the problem of dichotomies in Mathematics, we find that Psychology... derived from various philosophies, also has a history of dependency on patterns-of-two, often characterized with the general notion of a Mind/Body problem.

The problem with Psychology's Persistent Dichotomies is that it has no provision for the idea of "Trichotomization". The rationale is put as thus:

The mind connected to the brain derived by way of adaptation called Evolution, clearly exhibits a history of expansion towards complexity. Hence, past obsessions with dichotomies are necessarily geared for eventually being supplanted by trichotomies though the early stages of development may well involve incremental, intermittent, or punctuated sequences that can happen to individuals and/or groups.

For example, to state the issue more plainly, let us take the hypothetical situation in which we have a child who is undergoing a developmental shift in cognition towards trichotomization, who is interpreted as having a problem "adjusting to reality"... which is a reality dominated by those in their social venue who have adopted an orientation towards a reliance on various dualities. And so the child is sent to a specialist (intelligent family member, counselor, theologian, psychologist...) who is also steeped deeply into the use of dichotomies, even though they too may have found a happy medium of applying their "threes" experiences into a model of acceptance which provide for some measure of indulgence... however, with the underlying intent of directing the child on a course for being oriented towards the usage of dichotomies, whether or not anyone involved is at all aware of the underlying cognitive patterns aligned with enumeration. In short, the child is confronted by those whose perceptions of reality count by way of an underlying system of duality they unknowingly want the child to mimic, even though the brain of the child is more closely aligned in the direction of trichotomization... and not a single person is even aware of it. Indeed, the idea of Trichotomization is not even on the radar of most people.

Some historical references may be of value to highlight how the developing realization of trichotomization affects different people and creates an effect aligned with their interests, because society has not yet learned to recognize the evolutionary development of trichotomization nor direct the development of such along a fruitful path for all of humanity. In most circumstances, the expressed trichotomy of one person's or one groups orientation is rejected by others, regardless of any magnanimous definition applied. The idea of a developing orientation towards trichotomization remains in a state of oblivion for most people, institutions, governments, businesses, religions, and other philosophies, though they have adapted to the usage of one or more "threes" ideas:

Lofted Idealisms using a "three" theme:

• The concept of a Third Reich by Adolf Hitler (Many people did not share his vision of a 1,000 year empire).
• The concept of being a third Species or third sexuality is held by some LGBTQ+ advocates.
• The concept of the 3rd planet (Earth) being a mother (Gaia) or father figure.
• Third Rome is a theological and political concept asserting Moscow as the successor to ancient Rome.
• WWIII (viewed by some as humanity's variation of the biblical Armageddon).
• 3-part "checks and balances" government model (though in reality they act as one).
• 3 strikes (U.S.) law (Once heralded as a unique idea.)
• 3-drug cocktail death penalty method.
• Development of a 3-point shot in basketball.
• Development of a 3-light traffic signal.
• Development of a 3-prong electrical outlet.
• 3 speed manual transmission became a standard.
• Power of Three in Witchcraft, alternatively assigned articulated symbolism:
  • The power of three is used for balance, energy, and effective spell-casting.
  • The number three symbolizes karma, creation, and unity.
  • Profundity of the "three" in the Wiccan Rede.
  • Symbolizes the manifestation of life:
    • Number one is the potential or seed.
    • Number two introduces opposites like light and dark, or male and female.
    • Number three forms a triangle, where energy grows, and expansion starts.
• 3-color television.
• The triode was the first practical electronic amplifier.
• A more than two-stage rocket is frequently referred to a multi-stage setup. (Hence, we have 1- 2- Multi).
• Guilds in the Middle Ages had 3 divisions: Apprentice- Journeyman- Master.
• Many Threes" ideas were developed before the Christian influence of the Trinity.

The idea of three university degrees (Scholar, Bachelor, and Master) came into being during the thirteenth century at existing universities. Early universities were like medieval guilds of scholars and teachers, and the word "university" itself comes from the Latin phrase "universitas magistrorum et scholarium". Advanced degrees, such as the Doctor of Philosophy (PhD), began to gain importance in the mid-nineteenth century. The concept of a "Bachelor's degree" has its roots in the Middle Ages, tied to craftsmanship and skilled artisans. The University of Naples, founded by Emperor Frederick II, was the first to be established under imperial authority, while the University of Toulouse, founded by Pope Gregory IX, was the first to be established by papal decree.

(Google search query: Where did the idea of 3 university degrees come from?)

It is easy to put a list of patterns(-of-three) together. But what you do with it afterwards, makes a great deal of difference. For example:

• Striving for some specialized applicative synthesis.
• Striving for some comprehensive synthesis of understanding.
• Striving for some synthesis to explore predictability (future trends.)

Origination: Friday, June 6th, 12:48 AM
Date of initial posting: Friday, June 6th, 5:27 AM
Updated Posting: Tuesday, June 17th, 12:01 PM