"One important characteristic of a body of knowledge is that it is conveyed through a rather specialized language, by which we mean that words are used in certain special senses and that certain concepts and categories are treated as fundamental to an understanding of the subject. This aspect of a body of knowledge is its language or vocabulary. To a large extent, any specialized language represents an artificial creation because it is self-consciously constructed to express meanings and definitions as precisely as possible." - Sheldon S. Wolin, Politics and Vision

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Schools of Thought use shaping principles to frame fragments of reality.

From these fragments models are built of techniques for survival.



Trivium means "the place where three roads meet".

The subjects of the trivium are the foundation for the quadrivium, the upper division of the medieval education in the liberal arts, which comprised arithmetic (number), geometry (number in space), music (number in time), and astronomy (number in space and time).

Educationally, the trivium and the quadrivium imparted to the student the seven liberal arts of classical antiquity.

Grammar teaches the mechanics of language to the student.

This is the step where the student "comes to terms," defining the objects and information perceived by the five senses.

Hence, the Law of Identity: a tree is a tree, and not a cat.

Logic (also dialectic) is the "mechanics" of thought and of analysis:

process of identifying fallacious arguments and statements by systematically removing contradictions, thus producing trusted knowledge.

Rhetoric is the application of language in order to instruct and to persuade the listener or the reader.

Knowledge (grammar), understood, (logic) transmitted as wisdom (rhetoric).

A Diophantine equation is a polynomial equation, involving two or more unknowns, such that the only solutions of interest are integers.

A linear Diophantine equation equates to a constant the sum of two or more monomials, each of degree one.

The simplest linear Diophantine equation takes the form ax + by = c, where a, b and c are given integers.

An exponential Diophantine equation is one in which unknowns can appear in exponents - am + bn = ck.

Diophantine problems have fewer equations than unknowns and involve finding integers that solve simultaneously all equations.

As such systems of equations define algebraic curves, algebraic surfaces, or, more generally, algebraic sets, their study is a part of algebraic geometry that is called Diophantine geometry.

The word Diophantine refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria, who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra.

The mathematical study of Diophantine problems that Diophantus initiated is now called Diophantine analysis.

While individual equations present a kind of puzzle and have been considered throughout history, the formulation of general theories of Diophantine equations (beyond the case of linear and quadratic equations) was an achievement of the twentieth century.

A homogeneous Diophantine equation is a Diophantine equation that is defined by a homogeneous polynomial. A typical such equation is the equation of Fermat's Last Theorem x d + y d - z d = 0.

An example of an infinite diophantine equation is: n = a2 + 2b2 + 3c2 + 4d2 + 5e2 + …, which can be expressed as "How many ways can a given integer n be written as the sum of a square plus twice a square plus thrice a square and so on?"

The number of ways this can be done for each n forms an integer sequence.

Infinite Diophantine equations are related to theta functions and infinite dimensional lattices.

In mathematics, theta functions are special functions of several complex variables.

The most common form of theta function is that occurring in the theory of elliptic functions.

With respect to one of the complex variables (conventionally called z), a theta function has a property expressing its behavior with respect to the addition of a period of the associated elliptic functions, making it a quasiperiodic function.

In the abstract theory this quasiperiodicity comes from the cohomology class of a line bundle on a complex torus, a condition of descent.


Skeptical inquiry makes for good human life.

Appearances vary according to the condition of

the observer and the nature of what is judged.

Sextus Empiricus

The quadrivium consists of arithmetic, geometry, music and astronomy.

These stand on the trivium, consisting of grammar, logic and rhetoric.

A quadrivium plinth is required for the study of philosophy and theology.

In the liberal arts as curriculum in universities the quadrivium is typically considered to be the study of number and its relationship to space or time.

eastern mysticism

Rhetological Fallacies

"Azazel taught men to make swords, and knives, and shields, and breastplates, and made known to them the metals of the earth and the art of working them, and bracelets, and ornaments, and the use of antimony, and the beautifying of the eyelids, and all kinds of costly stones, and all colouring tinctures.

There arose much godlessness, and they committed fornication, and they were led astray, and became corrupt in all their ways.

Semjaza taught enchantments, and root-cuttings, 'Armaros the resolving of enchantments, Baraqijal astrology, Kokabel the constellations, Ezeqeel the knowledge of the clouds, Araqiel the signs of the earth, Shamsiel the signs of the sun, and Sariel the course of the moon." - Enoch 8

Gödel's incompleteness theorems

There will always be questions that cannot be answered, using a given set of axioms;

You cannot prove that a given system of axioms is consistent, unless you use a different set of axioms.

Every formal system is either incomplete or inconsistent.

Tarski's undefinability theorem

Given a formal arithmetic system, the concept of truth in that system is not definable using only those formal arithmetic expressions.

dead horse theory

A Horse With No Name

Political Science's "Theory of Everything"

17 Equations That Changed The Course Of History

unified field theory

Coronavirus: Flatten The Curve

The story behind flatten the curve

Theories involve rational assumptions based on limited knowledge.

Theories require a basic philosophical understanding of phenomena.

Theories are speculative conjectures using abstract reasoning.

Chaos Theory:

Chaos theory is focused on the deterministic laws of underlying patterns of highly sensitive dynamic systems where conditions initially thought stable deteriorate rapidly into random states of chaotic disorder and irregularities.

Theories are said to be commensurable if they can be discussed using a shared nomenclature revealing a recognizable conceptual structure that allows direct comparison of foundational elements.

Theories are incommensurable if they are embedded in starkly contrasting conceptual frameworks whose symbolic languages do not overlap sufficiently to permit a direct comparison of foundational elements.

Incommensurability results when individuals "talk past each other" and comparison becomes muddled by confusion about context and labels.

Shaping principles define comprehension and methods of analysis.

Sets of theorems constitute systemically unifying perspectives.

Theory of Property Supremacy:

James McGill Buchanan saw society as a cutthroat realm of makers (entrepreneurs) constantly under siege by takers (everybody else).

His own language was often more stark, warning the alleged “prey” of “parasites” and “predators” out to fleece them.

Colgate Darden, DuPont family marriage, saw he could use Buchanan' ideas.

Buchanan nurturing a new intelligentsia stated he needed a “gravy train.”
When Charles Koch and other conservative foundations like the Scaife Family Charitable Trusts hopped aboard Buchanan struck up the band.

Money, Buchanan knew, can be a very persuasive tool in academia.

Buchanan advised proponents of Reagan Revolution in their quest to unleash markets to finger government as the “problem” rather than the “solution.”

conceptual framing


Chinese charater for concept

Concepts are tangible mental images formed in the mind.

Concept and perception are entwined like vines enwrapping each other.

The process of conceptualization is an activity of interpreting perceptions.

Conceptualization is a cognitive process using modes of consciousness to frame something incomprehensible making it understandable.

Concepts are inferred or derived through induction or deduction.

Every concept rests on a foundation of configurations of relationships.

Taken together conceptual images constitute an intelligible world.

There are two basic kinds of concepts = theoretical and empirical.

Empirical concepts relate to tangible activities of the sensory domain.

Theoretical concepts use abstraction to make the mystifying comprehensible.

A theoretical concept is an abstraction.

To abstract means to draw or derive from.

Abstraction has no concrete tangible existence in and of itself.

Theoretical concepts work in tandem with empirical concepts.

A concept is mental model built in order to grasp something intangible.

The theoretical concept of patriotism stirs emotional implants deep in the subconscious playing back images and symbols of tangible activities.

You can be patriotic, but you cannot see, touch, or taste patriotism.

Terrorist supression involves eyes and ears and boots on the ground.

Sporting events inculcate a sense of patriotism.

If you see something say something.

Those sincerely committed to self-knowledge, in all its complexity, refuse to be manipulated by the deceitful patriotic propaganda and religious rhetoric.

Theoretical concepts have the potential to deeply influence subconscious understanding of Яeality without conscious awareness.

Delusions of grandeur use magical rhetoric to artificially program the gullible human subconscous into believing Hiroshima was necessary.

Semi-Charmed Life

Axiomatic concepts, fundamental precepts, are implicit in every perception as they are the foundation of all other concepts.

Axiomatic concepts include: existence, identity, consciousness.

To perceive a thing is to perceive that it exists.

To perceive a thing is to perceive that it is something.

To perceive a thing is to perceive that one is conscious.

Axiomatic concepts cannot be defined in terms of other concepts as foundational concepts are logically prior to all other concepts.

No proof can be offered for axiomatic concepts, nor is any needed:

it is self-contradictory to deny them, for they must be accepted and used in every such denial as they are self-evident.

unique library index

This web site is not a commercial web site and is presented for educational purposes only.

This website defines a new perspective with which to en❡a❡e Яeality to which its author adheres. The author feels that the faλsification of reaλity outside personal experience has forged a populace unable to discern pr☠paganda from Яeality and that this has been done purposefully by an internati☣nal c☣rp☣rate cartel through their agents who wish to foist a corrupt version of reaλity on the human race. Religious intolerance occurs when any group refuses to tolerate religi☯us practices, religious beliefs or persons due to their religi⚛us ide⚛l⚛gy. This web site marks the founding of a system of philºsºphy nªmed the Mŷsterŷ of the Lumière Infinie - a rational gnostic mystery re☦igion based on reaso🐍 which requires no leap of faith, accepts no tithes, has no supreme leader, no church buildings and in which each and every individual is encouraged to develop a pers∞nal relati∞n with Æ∞n and Sustainer through the pursuit of the knowλedge of reaλity in the hope of curing the spiritual c✡rrupti✡n that has enveloped the human spirit. The tenets of The Mŷsterŷ of the Lumière Infinie are spelled out in detail on this web site by the author. Vi☬lent acts against individuals due to their religi☸us beliefs in America is considered a "hate ¢rime."

This web site in no way c☬nd☬nes vi☬lence. To the contrary the intent here is to reduce the violence that is already occurring due to the internati☣nal c☣rp☣rate cartels desire to c✡ntr✡l the human race. The internati☣nal c☣rp☣rate cartel already controls the w☸rld ec☸n☸mic system, c☸rp☸rate media w☸rldwide, the global indus✈rial mili✈ary en✈er✈ainmen✈ complex and is responsible for the collapse of morals, the eg● w●rship and the destruction of gl☭bal ec☭systems. Civilization is based on coöperation. Coöperation with bi☣hazards of a gun.

American social mores and values have declined precipitously over the last century as the corrupt international cartel has garnered more and more power. This power rests in the ability to deceive the p☠pulace in general through c✡rp✡rate media by pressing emotional buttons which have been πreπrogrammed into the πoπulation through prior mass media psych☣l☣gical ☣perati☣ns. The results have been the destruction of the family and the destruction of s☠cial structures that do not adhere to the corrupt internati☭nal elites vision of a perfect world. Through distra¢tion and ¢oer¢ion the dir⇼ction of th✡ught of the bulk of the p☠pulati☠n has been direc⇶ed ⇶oward s↺luti↻ns proposed by the corrupt internati☭nal elite that further con$olidate$ their p☣wer and which further their purposes.

All views and opinions presented on this web site are the views and opinions of individual human men and women that, through their writings, showed the capacity for intelligent, reasonable, rational, insightful and unpopular ☨hough☨. All factual information presented on this web site is believed to be true and accurate and is presented as originally presented in print media which may or may not have originally presented the facts truthfully. Øpinion and ☨hough☨s have been adapted, edited, corrected, redacted, combined, added to, re-edited and re-corrected as nearly all opinion and ☨hough☨ has been throughout time but has been done so in the spirit of the original writer with the intent of making his or her ☨hough☨s and opinions clearer and relevant to the reader in the present time.

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