CYCLIC ORDER 123456789 ARMENIAN WORDS FOR NUMBERS

Cyclic orders



In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order is not modeled as a binary relation, such as "a < b". One does not say that east is "more clockwise" than west. Instead, a cyclic order is defined as a ternary relation [a, b, c], meaning "after a, one reaches b before c". For example, [June, October, February], but not [June, February, October], cf. picture. A ternary relation is called a cyclic order if it is cyclic, asymmetric, transitive, and connected. Dropping the "connected" requirement results in a partial cyclic order.

A set with a cyclic order is called a cyclically ordered set or simply a cycle.[nb] Some familiar cycles are discrete, having only a finite number of elements: there are seven days of the week, four cardinal directions, twelve notes in the chromatic scale, and three plays in rock-paper-scissors. In a finite cycle, each element has a "next element" and a "previous element". There are also continuously variable cycles with infinitely many elements, such as the oriented unit circle in the plane.

Cyclic orders are closely related to the more familiar linear orders, which arrange objects in a line. Any linear order can be bent into a circle, and any cyclic order can be cut at a point, resulting in a line. These operations, along with the related constructions of intervals and covering maps, mean that questions about cyclic orders can often be transformed into questions about linear orders. Cycles have more symmetries than linear orders, and they often naturally occur as residues of linear structures, as in the finite cyclic groups or the real projective line.

Given any set whose elements are arranged on a circle, one can define a ternary relation R on A, i.e. a subset of A3 = A × A × A, by stipulating that R(a, b, c) holds if and only if the elements a, b and c are pairwise different and when going from a to c in a clockwise direction one passes through b. For example, if A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } represents the hours on a clock face, then R(8, 12, 4) holds and R(12, 8, 4) does not hold.

Every word is conjugate to a cyclically reduced word, and a cyclically reduced conjugate, a cyclically reduced word is a cyclic permutation of the letters in the word.
GRAMMAR, give the different forms of (a verb in an inflected language such as Latin) as they vary according to voice, mood, tense, number, and person. "conjugating verbs forms part of language study"A permutation is one of the ways in which a number of things can be ordered or arranged. In word forms: plural permutations. countable noun [usually plural] 
A ternary relation is called a cyclic order if it is cyclic, asymmetric, transitive, and total.
A cyclic order is defined as a ternary relation, meaning "after a, one reaches b before c".
AVATARS OF SATYA YUGA - THE GOLDEN AGE
Next in(cyclic) order will be the Satya Yuga or the era of Truth.Satya yuga is the golden age, known as a time when all of humanity coexists in a spirit of goodwill and complete harmony. In this article we discuss the prominent avatars of Satya Yuga. The Supreme Divinity Sri Krishna appears in unlimited different forms. The Vedas say the Absolute Truth is non-dual, advitīyam. However, that Absolute Truth expands into many for the purpose of enjoying loving relationships. The Bhagavata Purana confirms: bahu-mūrty eka-mūrtikam. “The Supreme Source is One, although appearing in many varieties of forms.”

























GRAPHIC ABOVE IS AN EXTENDED POINT IN GEOMETRY. A VECTOR IN MATH/PHYSICS, CAN BE LABELED BT/PT (PTAH) IN LANGUAGE AND WHEN THE VECTOR COMES FULL CIRCLE, AS THE ALL, IT BECOMES AN OUROBORO IN PHYLOSOPHY , ALFA OMEGA IN RELIGEON,AZ IN ENGLISH. 

NUMBERS THE SET OF 10

Physical cosmology is the science that attempts to explain all observations relevant to the development and characteristics of the universe as a whole. 

Questions regarding why the universe behaves in such a way have been described by physicists and cosmologists as being extra-scientific (i.e., metaphysical).

Physics discovered the procedural laws/rules that life owes its existence to. These rules and laws are expressed primarily by numbers and the symmetries that exist between numbers. 

Starting with the set of ten numerals and geometry it is claimed that the mind (manas) which beholds the one, the all and everything in-between in space and time i.e. motion/process/generation can with the intellect (buddhi) measure manipulate and recreate the future.
Plato proposed that the divine Artificer, the (demiurgos) used numbers, (the three primary means, arithmetic, harmonic and geometric,) to proportion the 'world mind' but he added not to create the universe.

Aristotle on the subject of, or the paradox of linear/ progressive generation, through ideal numbers, indicated that the Decad is the essential nature of all number representing linear generation.  

From Theophrastus 4th century B.C. we learn that ideal number is not necessarily subject to a sequential or casual progression from one through to ten, but is rather a unity with ten essential and potential qualities, simultaneously present in each for us to imagine.

Pythagoras assumed the decade was the first principle with symmetries/harmonies, everything we contemplate existing among them, including Sacred Geometry. 

The Pythagoreans (in particular Philolaus and Archytas) of ancient Greece were the first researchers known to have investigated the expression of musical scales in terms of numerical ratios, particularly the ratios of small integers. Their central doctrine was that "all nature consists of harmony arising out of numbers". From the time of Plato, harmony was considered a fundamental branch of physics, now known as musical acoustics

Confucius, like Pythagoras, regarded the small numbers 1,2,3,4 as the source of all perfection. Early Indian and Chinese theorists all sought to show that the mathematical laws of harmonics and rhythms were fundamental not only to our understanding of the world but to human well-being. 

Numbers can function within the magnitude of the mind and within all that is visible. 



Language features of a cyclical explanation

 
Until recently, it’s remained a puzzle how the brain allows us to so quickly and accurately judge magnitude, quantity, quality. 
To date neuroscientists have agreed that neural representations of most high-level cognitive concepts – for example, those involved in memory, language or decision-making – are distributed, in a relatively disorganized manner, throughout the brain. In contrast, highly organized, specialized brain regions have been identified that represent most lower-level sensory information, such as sights, sounds, or physical touch.
In a recently published Science paper researchers from the Netherlands speak of a small brain area which represents numerosity along a continuous “map.” Just as we organize numbers along a mental “number line,” with one at the left, increasing in magnitude to the right, so is quantity mapped onto space in the brain. One side of this brain region responds to small numbers, the adjacent region to larger numbers, and so on, with numeric representations increasing to the far end.
Numbers work as determiners

Sacred Geometry is the father of logos which is the 'Super-conscious.'
Someone on the net asked 'What is the origin (or etymology) of the *names* of PIE natural numerals and what is their meaning, or the concept the scribes had in mind when they gave names to the first ten.' Nobody responded and I got curious.

For years I have been encouraged to dig deep into etymology because of the correspondence I found between contemporary English words with ancient Armenian words. My favorite example is the Armenian word անուն, which is a noun for name. In English and Armenian grammar a noun/anoun is for naming things.
In my research I have found so many cognate words between the two that I felt sure that some pure thought on Armenian roots, and the origin of Armenian primordial names could lead me in the direction the lost PIE roots, stems and structures. I decided to start my research with simple thing, like for example to attempt to decode the meaning behind the Armenian words for the numbers from one to ten, or I should say from the first word signifying the number one, MEG/ONE, I was encouraged to take a serious look to see if there was a chance I could crack the lot 0,1,2,3,4,5,6,7,8,9,10.
So the first question I had was what meaning if any did the names of these Armenian digits have, 
is there an esoteric meaning coded in the names or why do the digits have the names that they do? Where did the Armenian scribes get the names from, since they differ from the names the rest of the PIE family uses for the names to signify the system for the set of ten.
If one assumes that the origin of the Armenian names for numbers are proto-PIE then one is at a total loss for as yet one does not have a grasp of the proto-proto-Indo European language to base their etymology on, most etymological searches for mora or syllabic roots ends up, or ends with a dead end, all seems lost in the mists of time.

If we go by the teachings of Pythagoras, we find that they revolve around the idea that, when one is considering the deepest level of reality, the roots, the law governing the universe, one has to accept that at source it is essentially expressed mathematically, by number. Today these principles form a foundation for many concepts of traditional Western thought.
We know that a series of symbolic forms were constructed to mirror the concepts of the universe. Using a compass, straightedge, and writing utensil, mathematical philosophers created and continue to create these symbolic representations.
One of Pythagoras most basic notions revolves around the symbolism and numerical beauty associated with the Divine Proportions.

Pythagoras expressed his mind and ideas by using words, numbers and symbols. For instance, how a point is the essence of a circle and also how three points uniquely define a circle for If you circumscribe a circle around a triangle, the circum-center of that triangle will also be the center of that circle.
Pythagoras starting point with his disciples was that they be aware that the science of mathematics must be divided into two major parts. The first is concerned with the multitude, or the constituent parts of a thing, and the second with the magnitude, or the relative size or density of a thing. 
This concept, I can say was the beginning of my understanding of numbers, as well as my understanding of sacred geometry as the point, the line and the circle, and by extension their labeling. For example by extending the point to a line which could come back on itself forming a circle one can express both magnitude and multitude. However a vector is different because it has a direction as well as a magnitude. For example if you watch a weather report, you'll learn just how fast the wind is traveling and in what direction. This is a vector because it gives you that extra bit of information. Velocity is the vector equivalent of speed, where you find out the direction of motion as well as how fast it’s moving. So if something is traveling 10 miles per hour toward the northeast, the speed (10 miles per hour) is the magnitude, northeast is the direction, and both parts together make up the vector velocity. To calculate the magnitude of force vectors, you use the components along with Pythagoras’ theorem. Think of the ​x​ coordinate of the force as the base of a triangle, the ​y​ component as the height of the triangle, and the hypotenuse as the resultant force from both components. Extending the link, the angle the hypotenuse makes with the base is the direction of the force.
A point is defined as a location in any space and is represented by a dot (.). It does not have any length, height, shape, or size. It marks the beginning to draw any figure or shape. A point can represent what Pythagoras refers to as the 'essence', the essence of a circle, which we can label K, phonetically sounding out the 'Ky' syllable. Next we break out from the point and extend the point to create a line, a line is said to have both magnitude and direction. In math and Physics we call a line a vector, which can be said to have a velocity away from the point or the force acting on that point or an object. A line is defined by two points and it determines the position of one point in space relative to another,said to have no thickness and that it can extend indefinitely in both directions from any given point. We label the breakthrough of this line from the point with a B, phonetically sounding out the 'Ba' syllable. The third and final stage of the labeling exercise is regarding the finite or infinite extension of this point now a vector with velocity, shown by a line which comes back on itself forming a circle/cycle which we can label R, phonetically sounding out the 'Ra' syllable. 
The above was backward engineered and it came to light when I was attempting to work out the esoteric meaning behind the word for Cyprus/Kybris, which led me to the Egyptian Scarab named Khepri, the giants named Kabiri, the Kybarion the structure that unites above and below and the messenger Gabri-el who again acts as a messenger between the above and below. So I posit that the tri-literal GBR or KPR signifies the point, line and circle and the origin is primordial. There are different types of points in geometry. Let us discuss them to identify them easily.

Collinear Points and Non-Collinear Points
If three or more points lie on a single straight line then the points are called collinear points. If the group of points do not lie on the same line then those points are called non-collinear points. Vector quantities too have magnitude with direction. Some of the vector quantities are – displacement, velocity, acceleration, force, etc.

Magnitude is divided into two parts--magnitude which is stationary and magnitude which is movable, the stationary part having priority. Multitude is also divided into two parts, for it is related both to itself and to other things, again the first relationship having priority.
The magnitude of mind, defined the super-conscious.
Pythagoras assigned the science of arithmetic to multitude related to itself. Geometry was assigned to stationary magnitude, and spherical and hemispherical (used partly in the sense of astronomy) to movable magnitude.
Most relevant is the fact that both multitude and magnitude were circumscribed by the circumference of mind. 
Geometry arose independently in a number of early cultures as a practical way for dealing with lengths, areas, and volumes. Magnitude.Today geometry is a branch of mathematics still concerned with questions of shape, size, relative position of figures, and their properties of space
Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", from Ge and -metron for "measurement"
Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. The theoretical basis for descriptive geometry is provided by planar geometric projections.

The seed of thought. 
Believing that nothing exists without a center, mathematical philosophers expressed this center with a point and drew a circle around it. This symbol is called the monad and it represents the number one. This figure is the most stable, and the mathematicians and philosophers, also called it the First, the Essence, the Foundation, and Unity. The monad is the origin of the number One and the all, the OneAll. The monad is a particle, the seed that grows into a tree. The monad in relation to other numbers preserves the identity of every other number or anything it encounters. Any number multiplied by one is itself, and any number divided by one is itself.

Pythagoras expressed his mind and ideas by using words, numbers and symbols. The following gives one a fair idea of how the names of the Armenian numerals have carried forward from way back when to classical and modern Armenian. Below is my attempt to demonstrate the origin and meaning of each numeral adjective of the set of ten.
One , two and three etc., are called Cardinal Definite Numeral Adjectives. The reason I can show in the following sentences by example; "Three (Adjective of number ) bats ( a noun ) were killed . Four (Adjective of number ) edges ( noun ) of this table are rounded. Five(Adjective of number ) trees ( noun ) were cut down."
 
Classical Armenian     meg    erg'u   erekh   chorkh  hing  vech  ethn  uth  inn  t'asn 
Armenian modern      meg    yergu  yerekh  chorss   hing   vec    yot    utt   inn  tas




The Monad is Meg in Armenian and the noun signifies the numeral One.

We find in the archaic stratum of the Indo-European lexicon, that the reflex *mā means 'to form'. Interesting to note that *ma is also preserved in a finite verbal form of Iranian as (*mā 'to become').
It is conclusive therefore that the root mora M, syllable 'Ma' belongs to the most ancient, or original PIE lexicon.


The Number ONE is Sounded MEG in Armenian.
MEG can be broken down into two or three reflexes, *M and*G and *M*E*G.


THREE ELEMENTS, REFLEXES *M*E*


 The Reflex 'me', Armenian մի an adjective classic «one» it is used instead of (մէկ քանի,) meg-kany, (մի քանի/me-kany) meaning a few, or some, used when isolating or separating the one from the many.  *me is a word that indicates a one of many in Armenian.
The *M, in Armenian 'մ', Մ, մ (men), the syllable me/մի is used as a pronominal, when for example in a word it acts as a pronoun, like in 'that's not the one' ('one' 'me' makes of it a pronominal.) It is used as a personal beginning or ending, when added as a prefix. When a suffix, a personal ending, added to the Verb-stem it indicates the First Person Singular Present tense.

The *E, in Armenian 'Է,
 pronounced as in the English word 'dead' is a verb substantive for 'Is', for example է,/it, he or she 'is'.
The *G, Armenian *կ՚, a consonant tenuis guttural, voiceless, occlusive or in syllabic form կը, it is a 'particle.' In grammar a particle is a function in a word that can be used as in Armenian to form a phrasal verb/word, a word or a part of a word that has a grammatical purpose. A particle in the material world is a small piece of anything. A body (an individual 3-dimensional object that has mass) having finite mass and internal structure but negligible dimensions...it could in todays world even mean a subatomic particle, it could be a body that you can't see because it is so incredibly small, though it does have a minuscule mass and internal structure. You can also say a crumb or speck or a dot a point in geometry is a particle.
A revealing word in Armenian with the reflex G is Armenian Getron, կե-դրոն a noun meaning center, or middle. of somewhere something. Also there is the Armenian word կէտ a noun for Dot, period, full stop, moment, instant. An example in phrase we have Ged, կէտ առ կէտ to mean exactly, in every point. ստորակէտ n. point and comma. Guyds, Armenian կայծ is a noun for a spark. Guy, կայ is a noun for a stop, a station, rest, situation, pause, stop, rest, halt, seat. 

TWO ELEMENTS, REFLEXES, SYLLABLES *ME*GE 
The Number ONE / MEG as a compound of *me and *ge, Armenian մէկ, մի-կ where
MEG signifies the concept which translates dynamically as how 'the all becoming the one,' or the 'all is one.'
The backdrop to the idea is the assumption that there is a union between the above and the below, the microcosm and macrocosm, the finite and the infinite.

10-The Armenian numbers from one to ten appear to indicate a process, a means to measure from the finite microcosm, the one, the monad, to the infinite. For once we arrive at ten, we find that the numerals 1 and 0, 10, ten acts like a place holder and launches to infinity. 10 is the retainer of 1 to 9, the one and the zero representing the process continuing as a set of ten to infinity. with the zero acting like the liminal space. The set for Measuring the process of Multitude and Magnitude.

THE CORESPONDENCE OF MEG TO PIE WORD MAGNITUDE We have the phrases, in order of magnitude, absolute magnitude, apparent magnitude and to magnify. The absolute or relative size, extent or importance of something. (countable), an order of magnitude. In (mathematics) A number, assigned to something, such that it may be compared to others numerically, (mathematics) of a vector, the norm, most commonly, the two-norm. (astronomy) The apparent brightness of a star (on a negative, logarithmic scale); apparent magnitude. (seismology) A measure of the energy released by an earthquake (e.g. on the Richter scale).

The etymology of the word is given as starting from Latin magnitūdō (“greatness, size”), breaks it down to magnus +‎ -tūdō. Meg as a Noun, magnitude (countable and uncountable, plural magnitudes). The syllable 'meg' and or 'mag' have "pre-eminence, in IE languages with words like magnificence meaning "showing greatness of size or extent," from Latin magnitudo "greatness, bulk, size," from magnus "great" (again from suffixed form of PIE root *meg- "great").
Magnitude "size, extent," when used of stars, "brightness or brilliancy is always expressed as a number" (now on a logarithmic scale) since 1640s, translating of Ptolemy's Greek megethos.
Meg for Great comes from the oldest form *meg̑-, becoming *meg- in centum languages. Meg as a suffixed (superlative) form is meg-(ə)-isto-. Almagest, Hermes Trismegistus from Greek megistos, greatest.
Meg in Proto Germanic, means to be able, to have power, or one could say Meg enables, meg empowers.
When did Armenian adopted *meg as the name given to their original or cardinal number, and how is it that in Indo-European, the root 'Meg' is perfectly cognate to first numeral of Armenia. Can one go further and posit that that the root of the word Magic ands Magi, or is Mag, which refers to the 'ability' and power as in the magic of creation. So we ask what is more magical/sacred than creation and more appropriate than the numerals as the measure of the process of manifestations. As for numbers what has more power than THE ONE with the ability to power up to a set of ten and on to infinity.
We find and add cognates to *mag in the Indic word Magh also to mean power, strength and Magu in Old Persian today means magician.

Armenian ONE, MEG is neuter and it means, a  point, the first fixed point, the primeval unit, that represents the beginning, the monad, THE-PRIME-ORDIAL-EARTH. 
The adjectival word, in Armenian 'megavan' means "possessing maga-". Avestan maga- and Median (i.e. Old Persian) magu- are co-eval and also that both these were cognates of Vedic Sanskrit magha-). While "in the Gathas the word seems to have a duel meaning, it was both a reference to the teaching of Zoroaster as well as the community that accepted that teaching. There are many reasons for me to suppose that the western Iranian form magu (Magus) has exactly the same meaning as well. So it seems that the wisest Magi are the Ones who believe and teach that their starting point is MG, (the One Reality, the Absolute. These are the children of the primordial MOTHER EARTH. Given that the Avestan moghu and Medean magu are one and the same word in origin, it follows that the Iranian term for a member of the tribe'  that developed among the Medes which had the special sense of 'member of the (priestly) tribe', hence a priest. 

The Greeks adopted *meg to mean 'big' or 'great' we need look no further for the source for big or great which is in Armenian 'med^s meaning 'big' and or "great, or " Sanskrit mahat- "great, mazah- "greatness;" Avestan mazant- "great;" The word magnitude n, (number), is μέγεθος. It seems probable that IE languages assumed the root *meg to mean 'GREAT' from Hittite mekkish for "great, large." How when and why the Armenian sound 'DS' was confused with or intentionally substituted for the 'G' sound which they refuse to sound out, is a guess. Why the G that signified the essence/point/particle and circle used as the adjective for the 'OneAll' the monad became the Greek pronoun and adjective like megas "great, large;" Followed by Latin magnus for "great, large, much, abundant, for "major," "greater," later Latin maximus "greatest," Middle Irish mag, maignech "great, large;" Middle Welsh meith "long, great." The roots 'meg and medz should be revisited by PIE etymologists, for the word magnitude n, (for number), Gk. μέγεθος is self explanatory.
In language, in medicine, in mathematical and from the astronomical treatise on the 'apparent' motions of the stars and planetary paths, written by Ptolemy, we have a huge collection of 'meg's', to reconsider,like Al-magest, acromegaly, Charlemagne, magisterial, magistral, magistrate, Magna Carta, magnate, magnitude, magnum, magnanimity, magnanimous, magni-, Magnificat, magnificence, magnificent, magnify, magniloquence, magniloquent, Magnus, majesty, major, major-domo, majority, majuscule, omega, mega-, megalo-, mickle.

Magi (Greek μαγοι) is usually translated as "wise men," probably very smart men, were 'astronomer'/'astrologer'. The involvement of astrologers in the story of the birth of Jesus was problematic for the early Church, because they condemned astrology as demonic. Now simply magicians, tricksters.
The set of ten were invented as a Metron, a meter 'To measure', as in measure of mass and many, this compound word metron literally translate is the 'Measuring of the earth' or 'Earthly measurements', an art which traditionally was restricted to the priest-hoods, speaking of which, we can state without reservation that the MaGi were a priesthood and the Armenian word Getron, կե-դրոն a noun meaning center, or middle of somewhere something lends itself to the word Greek word metron. A deeper look into the available etymology for Meter, we find that it originates from Proto-Indo-European *meh₁- (“to measure”) + -τρον (-tron). It is highly probable that Armenian Meg also refers to the same concept of geo-metry.

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", from Ge and -metron for "measurement" today geometry is a branch of mathematics still concerned with questions of shape, size, relative position of figures, and their properties of space. A mathematician who works in the field of geometry is called a geometer.
Geometry arose independently in a number of early cultures as a practical way for dealing with lengths, areas, and volumes.


Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. The theoretical basis for descriptive geometry is provided by planar geometric projections.

The most perfect number was 10, because 10 = 1 + 2 + 3 + 4. This number symbolized unity arising from multiplicity. Moreover, it was related to space. A single point corresponds to 1, a line to 2 (because a line has two extremities), a triangle to 3, and space to 4. Thus 10 also symbolized all possible spaces.

Pythagoras instructed his disciples that the science of mathematics is divided into two major parts. The first is concerned with the multitude, or the constituent parts of a thing, and the second with the magnitude, or the relative size or density of a thing.

Magnitude is divided into two parts--magnitude which is stationary and magnitude which is movable, the stationary part having priority. Multitude is also divided into two parts, for it is related both to itself and to other things, the first relationship having priority. Pythagoras assigned the science of arithmetic to multitude related to itself, and the art of music to multitude related to other things. Geometry likewise was assigned to stationary magnitude, and spherics (used partly in the sense of astronomy) to movable magnitude. Both multitude and magnitude were circumscribed by the circumference of mind. The atomic theory has proved size to be the result of number, for a mass is made up of minute units though mistaken by the uninformed for a single simple substance.


So the simple question was, where did PIE Armenian numbers get their names? Why do they have the names that they do? I can find the rough etymology of words for numbers but I was not able to find the initial meaning of those words the numbers are named, like five was derived from say a star, etc. Obviously the answer goes back a few thousand years if one assumes that the origin of the names are PIE. So I guess my part time research to have taken ten years to come up with some answers cannot be called a waste of time if they are accepted in the main.
Magi (Greek μαγοι) is usually translated as great "wise men," probably very smart men, they were 'astronomer'/'astrologer'. The involvement of astrologers in the story of the birth of Jesus was problematic for the early Church, because they condemned astrology as demonic. Now simply magicians, tricksters.
Sacred geometry is sacred for it has a direct correlation to the super-conscious. Mag-, magnitude besides the physical measure by rule of number, the weight, the length, the width, the breadthcan refer to the measure of the expansion of the mind. 

I posit that the Armenian name for the ONE, MEG is neuter, a given, a starting point, the first fixed point in space and time, a primeval concept, the OneAll, the monad, primordial matter, life, essence, (the One Reality, the Absolute.) 
The Armenian word, megavan an adjective means "possessing maga-". 
Avestan maga- and Median (i.e. Old Persian) magu- are co-eval and both are cognates of Vedic Sanskrit magha-). "in the Gathas Mag- seems to have had a duel meaning, it was a reference to the 'teaching' of Zoroaster but more the 'community' that accepted that teaching. Now it is a common Iranian term which designates a member of the 'tribe,' a member who grew up among the Medes, with again a duel sense, of a member of the tribe and a teacher of the tribe', hence a priest of the tribe. 
Were the wise Magi the community the ones who gave posterity the concept of the monad as the MAG, were they the first to make gold of themselves from the gangue. The Great Giants of primordial mother earth who 'processed' the mineral wealth MOTHER EARTH. 
Where did the medieval alchemists and metaphysicians learn that the number 'one' was associated with the Philosopher's Stone, the unknown catalyst that was thought to transform base metals 'magically' into gold. The word magically answers the question to my satisfaction.
We can also bring to bear the Sumerian meaning of Ma and Gi, where Ma in Sumerian mythology was used with regard to Primordial Matter. The word they say probably originates from the noun ama "mother," however it is more likely that 'ma' is a priori, phonetic abstraction, of the mystic syllable considered the most sacred mantra in Hinduism and Tibetan Buddhism'  which always appears at the beginning and end of  Sanskrit recitations, prayers, and texts. I posit that 'ma' was chosen to give meaning to the idea that signifies the all as one, as does the circle of sacred geometry for the same concept, the beginning and end. 
Cuneiform KI also read as GI (Borger 2003 nr. 737; U+121A0 𒆠) is the sign for "earth". In later Akkadian orthography, it functioned as a determiner for toponyms and had the syllabic values gi, ge, or qi, and qe. Besides its phonetic value it also serves as determiner or "Sumerogram" marking place-names. Thus its phonetic value at origin is a fixed point, 'earth,' a determiner, a mark.

YERGOO
The Numeral TWO is YERGU in Armenian, (երկու) it is pronounced yergu or yerku, anadjective for the numeral Two.
The Y*R* as a consonant cluster, a glide, yēr- is a prefix from PIE. I can best express YR as a vector, a process. A vector in space and time an extension from a fixed point 'A' with momentum that rests at another point we label 'B'. 
YER can be said to be a VECTOR, TAIL TO HEAD, which is defined as a point becoming a line Geometrically speaking that is. We can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of the vector is from its tail to its head. A Vector: "a quantity having direction as well as magnitude denoted by a line drawn from its original to its final position " (New English Dictionary). A Latin word, used in geometry, meaning a carrier. Two vectors are the same if they have the same magnitude and direction.
VECTOR, TAIL TO HEAD, Point-line-circle
A vector is a point becoming a line Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of the vector is from its tail to its head. 
YER at root is the connecting space ,area. the vector, the perfect balance of two contradictory or complimentary points, elements. particles. Thus with YER at root a connector, a connecting line. The stem կու, phoneme GU, or the Armenian word կու stands for or means 'a particle' like a point in space. Thus I think I can assert that Armenian YERGU, is the PIE original of [Greek] ζυγός (zygos), [Latin] iugum: a yoke, a pair of scales, a coupling, a bond, a servitude, a submission; Mt.11:29-30, Act. 15:10, Rev.6:5, Gal.5:1, 1Tim 6:1, Act.15:10, Mt.23:4.

It is the spin of primordial earth that that unites the feminine and masculine energies of the Earth and Space into 'Creative Action.' Matter is regarded, not as an independent reality, but as the two facets or aspects of the Absolute, which constitute the basis of conditioned Being the subjective and objective.

The word 'yarn,' or 'yard' gives us the best example of how the YR glide is/was applied in the formation of words that extended in time and space from one point to another. my favorite example from the word-smith is Year y-r, yr or the word Yore in English for a long period of time. The oldest form of the word year we have is *yeh+r‑.
As a suffixed the basic form is *yēr- the -o‑, extends the line making of it with the o, the one cycle, one year, in Old English gēar, year; Yahr-zeit, from Old High German jār, year, from Germanic *jēram, year.
We also have feelings like Yearn, to demonstrate how the root phoneme of the glide YR has not changed from its original PIE or Armenian base-root meaning. Finally I offer the variation of the form as is *yōr-ā‑, which with the H aspirate replacing the Y and the rolling R-a we have, the English horary, hour from Greek hōrā, season, etc.
When searching for the root meaning of the prefix Yer, of the word Yer-gu, meaning numeral two in Armenian, I found some great examples of how 'yer' lends itself as a prefix in the creation of other Armenia words which will reinforce my claim that Yer in PIE primarily defines an extension in space and in time between two points a start and a finish. Words like YERGAN which means LONG. YER-AM, is a coming together. YER-AG, is a VEIN, a connecting flow. YER-AZ is a DREAM, a connecting inner visions. YER-GINK is the SKY, between finite earth and the infinite sky. YER-GIR is our world our planet, a measurable flat earth, by the yard in English.YEREV, is the space, the line of sight, between the observer and observed, a vision, an image. YER-ES, English for face, is an odd one,however my thought is that the lines on the face tell all from A-Z,a long fase etc.
We can go deeper down the rabbit hole in our effort to get to the original conceptualization template and break up the YR glide into two mora with meaning. The semivowel Y, a mora, is referred to by Hebrew scholars as the semi-vowel of creation. We can trace this back or forward to the Greek iota, i, which signifies the smallest point. Yota, Greek Iota (uppercase Ι, lowercase ι, is said to have derived from the Phoenician letter Yodh. The word or the name of the letter is used as a common English phrase, "not one iota", meaning "not even the slightest amount". Also appears in a phrase in the New Testament (Matthew 5:18): "until heaven and earth pass away, not an iota, not a dot, (King James Version: '[not] one jot or one tittle') will pass from the Law until all is accomplished". (Mt 5:18) This refers to iota,as the smallest concept as represented as a letter, matches Yodh, י, the smallest letter in the Hebrew alphabet. 
In logic, the lowercase iota or Yodh or simply the Y* denotes the definite descriptor. As when the lowercase iota as a symbol sometimes is used to write the imaginary unit, but today more often the Roman i or j is used. So the word 'jot' (or iot) derives from Greek iota, Yohd.

The next mora *R, the second descriptor of Armenian word YerGu, (abjad form, YR-G) is like a root phoneme with meaning. The Armenian ṛotic /r/, as in practically all languages from origins signifies energy as in constantly 'flowing', “movement”. The Greek Heraclitus is most famous for saying that “everything flows”: panta rhei. So *R, rei-, represents flow, in time and space. prefix Yer of Yergu,

Y or I is the starting point, the particle, which is extended by R into a line. United with the R, the glide YR as it were is what we have named in math the vector.  The first point that extends itself in time, through space, a vertex representing two points, a line of sight between or uniting one with another. A point/particle extended in time or traveled in space to unite two points. Two points a beginning and an end, connected to each another or simply be a connection between complimentary or contradictory particles, as in +&- , a connection between two fixed or moving, growing, becoming points. 
YR in the minds eye can start as a point and divide into two points
 or the point can extend into a line with a point at each end, or the point can come back on itself creating a circle/cycle,

Persian yoke (yuğ). Sanskrit age (yugá), from which the word yoga is derived. Hittite 𒄿𒌑𒃷 (smoke). Old Church Slavonic иго (fig). Lithuanian Jungs.
YOGA:The word Yolk/Zygos in Greek is a wooden beam, normally used between a pair of oxen or other animals to enable them to be and stay connected, to pull together on a load when working in pairs, as oxen have done from the beginning of agricultural time. A pair of oxen may be called a yoke of oxen, and yoke is also a verb, as in "to yoke a pair of oxen". They say that the word "yoke" is believed to derive from Proto-Indo-European *yugóm (yoke), from verb *yeug- (join, unite). This root has descendants, all meaning a yoke, in almost all known Indo-European languages including. German Joch. Latin iugum with, Ancient Greek ζυγόν (zygón), from which the term zygomatic bone is derived. Persian یوغ (yuğ). Sanskrit युग (yugá), from which the word yoga is derived. Hittite 𒄿𒌑𒃷 (iúkan). Old Church Slavonic иго (igo). Lithuanian jungas.
To the above we must add the ultimate PIE Armenian word 'կուց,' which is a noun which translates into English as the hollow of the joined hands, a space defined by two radical points. a handful.
It is said that it is the spin of primordial earth that unites the positive a negative, thefeminine and masculine energies of the Earth and force Space into 'Creative Action.' Here Matter is regarded, not as an independent reality, but as the two facets or aspects of the Absolute, which constitute the basis of conditioned Being, the verb between the subjective and objective.
It is said,- (and my research confirms why it should be,) - that both the letters in our alphabet G and K are equal to 2.

The -ու alone as a   suffix which forms the genitive and dative singular for nouns.
However if one wishes to go down the path of onomatopoeia, or If one insists that the G is at origin the guttural, the hardest G sound, as in ground or egg, or grain etc.  we have in Armenian great examples the 'seed,' GOOD for seed, the seed of life the grain.

The Armenian name of the Rooster/cock at DAWN, as the most masculine phoneme or graph-em or symbol of all time, especially for the farming community, for from the beginning of time, cock-e-doodle-doo was GOOGOOLIGOOGOO, which by the way gives us the slang word in English of GULLIES, the perfect connected pair, testicles and so at last we know where Google got their inspiration from.
However if one wishes to go down the path of onomatopoeia, the G is at origin the guttural, in English 'G' as in ground or egg, or grain etc. The Armenian call of the Rooster/cock at DAWN, is the phoneme or graph-em brought forward by the farming community, from the beginning of time, is cock-e-doodle-doo in English and GOOGOOLIGOOGOO in Armenian which by the way gives us the slang word in English of GULLIES, the perfect connected pair, testicles. So now we know where Google got their inspiration from. The Chinese believe that two represents the connecting polar forces of Yang and Ying (the creative expansive male and female energy.)






A Venn diagram illustrating the intersection of two.

The Number THREE/YEREK, Arm. erek῾/yerek῾/yerek῾

The number three represents the one all, all one in the sense that all creatures have a soul. It is a reference to the first and last born, thus the ‘eldest’ and newest number. 
The equilateral triangle serves as its geometric representation and is the first shape to emerge from the vesica piscis the Dyad. The internal triangle generated by the third circle contains the smallest area within the greater perimeter of the three circles. 
The number three is also the only number equal to the sum of the previous numbers. For instance, one plus two equals three. And three is also the only number whose sum also equals their product. Or, one plus two plus three equals one times two times three.

In mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three. Ternary relations may also be referred to as 3-adic3-ary3-dimensional, or 3-place.

Just as a binary relation is formally defined as a set of pairs, i.e. a subset of the Cartesian product A × B of some sets A and Bwhere, so a ternary relation is a set of triples, forming a subset of the Cartesian product A × B × C of three sets AB and C.

An example of a ternary relation in elementary geometry can be given on triples of points, where a triple is in the relation if the three points are collinear. Another geometric example can be obtained by considering triples consisting of two points and a line,  a triple is in the ternary relation if the two points determine (are incident with) the line.A function fA × B → C in two variables, mapping two values from sets A and B, respectively, to a value in C associates to every pair (a,b) in A × B an element f(ab) in C. Therefore, its graph consists of pairs of the form ((ab), f(ab)). Such pairs in which the first element is itself a pair are often identified with triples. This makes the graph of f a ternary relation between AB and C, consisting of all triples (abf(ab)), satisfying a in Ab in B, and f(ab) in C.

YURIKA/YEREK/3/Three times or 'thrice fortunate' and or 'thrice happy' and or 'thrice blessed' simply qualifies all the opposites, thus 'thrice" is the presence in a perfect form, no tension, so to speak. Like in a triangle that symbolizes the number 3 which represents the perfect balancing of two opposite elements by a third. mediating element the mean. In other words, it is the integration of polarity which reveals a new creation. To Catechize is to question or examine something very closely or methodically, it could be said that it is like when the mind goes back and forth contemplating the question, till it finds the answer.
EUREKA, is a moment in time, or one can have a eureka moment. It is said to refer to a common human experience. a flash moment of suddenly understanding a previously incomprehensible problem or concept. Some research describes it as the Aha ! effect (also known as insight or epiphany) enlightenment, revelation, miracle, amazement, awe, wonder, astonishment, phenomenon, portent, prodigy, as a memo moment. I posit that when  theancient Greek polymathArchimedes, (a follower of Pythagoras) shouted 'EURIKA' it was simply felt thrice blessed/fortunate/happy to have arrived at the number three/yerek and naturally for a practitioner of sacred geometry, simply arrived from his dilemma of the number two to the revelation of number three.   YEREK could be the etymological root of the word EURIKA the 'Aha' moment, the presence of the thirdA triangle and or the number 3 represent the perfect balancing of two opposite elements by a third mediating element. In other words, YEREK/three is the integration of polarity which reveals a new creation.
Everywhere antiquity slows an unbounded reverence for the Three, the Triad and Triangle, it is the first geometrical figure. The old Babylonians had their three stages of initiation into the priesthood (which was then esoteric knowledge); the Jews, the Kabbalists and mystics borrowed them from the Chaldees, and the Christian Church from the Jews. “There are Two”, says Rabbi Simon ben Jochai,” in conjunction with One; hence they are Three, and if they are Three, then they are One.”

The natural world as we know it has three dimensions, of space—length, width and depth—and One dimension of time, which we divide into three, before, during and after. This is a law of nature. 
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension.The three types of axonometric projection are isometric projection, dimetric projection, and trimetric projection. The concept of isometry had existed in a rough empirical form for centuries. 
3 Three is the smallest number of sides that a simple (non-self-intersecting) polygon can have.
3 Three atriangle, a polygon with three edges and three vertices, is the most stable physical shape. utilized in construction, engineering and design.  
3-manifold is a space that locally looks like Euclidean 3-dimensional space. A 3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane to a small enough observer, all 3-manifolds look like our universe does to a small enough observer.
The great psychologist Carl Jung interpreted it as meaning the merging of the will with the heart and the soul. The ancient Babylonians and Celts interpreted this number to represent creation being born out of the union of 2 and thereby being a 3rd and distinct thing.
Trimūrti (/trɪˈmʊərti/;[1] Sanskrit: त्रिमूर्ति trimūrti, "three forms") is the triple deity of supreme divinity in Hinduism[2][3][4][5] in which the cosmic functions of creationmaintenance, and destruction are personified as a triad
GRAMMAR ROOTS 



Ek, Armenian эк - [2nd person plural of эм] - is a substantive verb , auxiliary verb you are.
-է՛ք final syllable of verbs ending in -ել, forming the 2nd person plural Imperative Mood.

ORGANIC UNITY
The Three Philosophical Principles in European alchemy, are represented as the three primes (Latin: tria prima) they were named salt, sulfur and mercury. 
According to alchemists, Mercury, Salt and Sulphur are the three-fold aspects of all phenomena--to be found in all compounds of a mineral or organic nature. Every phenomenon and object in Nature is believed to possess these three attributes.
The central figure in the mythology of alchemy is Hermes Trismegistus (or Thrice-Great Hermes). Hermes and his caduceus or serpent-staff, were among alchemy's principal symbols. 
The Hermetica of Thrice-Great Hermes, called the hermetic philosophy, is generally understood to form the basis for Western alchemical technology, philosophy and practice.These three philosophical principles of alchemy are considered the working units of their system. It is said to be the holy trinity of the universe. These three are the primary organic functions that exist within all of manifest creation - be it material or non-material. It is said that understanding these three principles assist in understanding the underlying patterns behind all things. 
Our minds are under their influence, as well as our physical bodies and emotional states. The fact that all of existence (the plants, the minerals, the animals) contain these primary organic functions is what makes them universal. Even the planets as well as non-physical beings (spirits) are composed of these principles. 
Three also represents the principle of increase, expansion, growth and abundance on the physical, emotional, mental, financial and spiritual levels. 
Number 3 resonates with the energies of creativity and intelligence. 
Number 3 or triad, represents, past-present-future, thought-word-action, demonstrates creative imagination, rhythm, manifesting and manifestation.
The technological dawn of Western alchemy is sometimes associated with that of metallurgy, extending back to 3500 BC. 

The Number THREE/YEREK, Arm. erek῾/yerek῾/yerek῾երեք adjective Three; three times; third. 
The suffix - ek , 
 Armenian letter Е, pronounced (eh) is a verb substantive which translates to 'is.' It is positioned
as the third vowel of seven and it is the seventh letter of the modern Armenian alphabet.

I am, as in I am . You are me, you art . it, he or she is. Notice the substitution between 
e and  e.
էք is the [2nd person plural of եմ] a substantive verb, the auxiliary verb you are. The definition  of a substantive verb is anything that expresses existence is substantive; hence the verb to be is called the substantive verb. 
The pronoun I /aɪ/ is the first-person singular nominative case personal pronoun in Modern English. It is used to refer to one's self and is capitalized, although other pronouns, such as he or she, are not capitalized. The grammatical variants of I are me, my, mine, and myself. eg/ek is the oldest form in centum languages, from Old English ic, from Germanic *ek. Extended form is *egō. ego, from Latin ego. The grammatical variants of I are me, my, mine, and myself.
The origin of -k as suffix in PIE is still uncertain, Meillet and Godel derive it from the Proto-Indo-European plural nominative case ending where the sound development of word final *-s, to have originated as *-ք (*-kʿ). It is said that as in Armenian -ք (-kʿ) i s a plural marker. 

YER*EK,
Armenian է՛ք is a final syllable of verbs in-ել, forming the 2nd person plural imperative Mood. The imperative mood is a grammatical mood that forms a command or request.
EK, էք, is the 2nd person plural of եմ, 'em', as in I am a substantive verb. EK is the auxiliary verb, as in 'you (plural) are,' the plural auxiliary verb of 'I am,' as in I 'exist' EM. ES is singular for you are and E is singular for is, he is/she is.
CREATION and the CREATED, CREATURES
էք *ek as a noun in Armenian translates into English to mean refer to all of the creatures in creation, as in all of creation, whether animate or inanimate; the creatures of the earth, the woods and fields even a spirit based creature or a creation from space, anything created. For example as in "a charming creature." The word creature is a noun, plural creatures, synonyms that we find are words like animals, living thing, living entity, a living soul, a soul, a mortal, a being, life form, an organism. 
  

էգеk a noun is a root word, a syllable, a phoneme that translates to female in Armenian.
The Hebrew word also traditionally translated "soul" (nephesh) in English language Bibles it refers to a living, breathing conscious body, a creature. It is confusing for it often refers to the spiritual part of a person that some people believe continues to exist in some form after their body has died, or the part of a person that is not physical and experiences deep feelings and emotions. In the sense that all creatures have a soul by virtue of the fact that they are named creatures. A soul in Armenian can be a spirit, heart, existence, life

YER a prefix again like YER in YER-GU, it is the YARN in English, the thread of life, a connecting line. 

As above for two YER at root is a connecting, connected, connector line.
The 'Y' 'R' of YARN, The PIE culture the yarn/thread represents life and it demonstrates that the number is always fixed at three, this concept descends down through all IE language, Culture. Plato speaks of the uniting of the three for the creation of the universe. Prometheuseos speaks of the TRIMOPHOI. 

The nominative case is the case used for a noun or pronoun which is the subject of a verb. (The noun Y which is the subject of the verb "R" becomes a tri, literal with the K which is the nominative case, the K is the nominative plural of YR.  

3 Three for Third person in (grammar), is a point of view (I,  he, she, it, and they)Գ, գ (kim) is the third letter of the Armenian alphabet. Three, third.Ki in Sumero-Armenian also represented the vertical line ascending from the surface/area of the earth to heaven An. THE AXIS MUNDI. 


The Ki in Armenian represents the Juniper tree. The Armenian Tree Of Life and Death.



YER a prefix again like YER in YER-GU, it is the YARN in English, the thread of life, a connecting line, obvious in  words like YERES Armenian for FACE, 
The PIE culture the yarn/thread represents life and it demonstrates that the number is always fixed at three, this concept descends down through all IE language, Culture. Plato speaks of the uniting of the three for the creation of the universe.

In Ancient Chinese philosophy, yin and yang (/jɪn/ and /jɑːŋ, jæŋ/; Chinese: yīnyáng, lit. "dark-bright", "negative-positive") is a concept of dualism, describing how seemingly opposite or contrary forces may actually be complementary, interconnected, and interdependent in the natural world, and how they may give rise to each other as they interrelate to one another.[1] In Chinese cosmology, the universe creates itself out of a primary chaos of material energy, organized into the cycles of Yin and Yang and formed into objects and lives. Yin is the receptive and Yang the active principle, seen in all forms of change and difference such as the annual cycle (winter and summer), the landscape (north-facing shade and south-facing brightness), sexual coupling (female and male), the formation of both women and men as characters and sociopolitical history (disorder and order).

There are various dynamics in Chinese cosmology. In the cosmology pertaining to Yin and Yang, the material energy, which this universe has created itself out of, is also referred to as qi. It is believed that the organization of qi in this cosmology of Yin and Yang has formed many things. Included among these forms are humans. Many natural dualities (such as light and dark, fire and water, expanding and contracting) are thought of as physical manifestations of the duality symbolized by yin and yang. Thus the three 3 
Yerek is the creative force the spin of the earth and its spin around the sun is what unites the two for the act of creation.



in Sacred Geometry the three intersecting rings form the “Tripod of Life”

Rings or circles are a symbol of wholeness and unity. They have no beginning and no end. They represent the infinite possibilities of creation the are contained in the void. In the study of Sacred Geometry, two intersecting circles as above represent the coming together of two Ones and
 their common area gives us vessica piscis from which all other geometric shapes can be generated. Three intersecting circles represents the coming together of  the three Ones.
Three intersecting circles forms the basic trefoil unit, generally known as the “Tripod of Life”. Three intersecting Circles are a very powerful representation of the creative force of the Universe, and inscribe three intersecting vessica piscis. At their center is formed a triangle with curved sides. (Straight-sided triangles are shapes that represent balance, stability, and equilibrium and their three internal angles add up to 360 degrees of rotation.) This triangle with curved sides is depicted on the tip of the forefinger of the triple goddess, Aphrodite. 

The “Tripod of Life”
 is a lens for the most powerful energy a creative force from Higher Realms. It  forms the core of what is named the sacred “Seed of Life”, which are the seven interlocking circles. The “Seed of Life” is a basic building block of the “Flower of Life” pattern which depicts fundamental forms of time and space as it illustrates the interconnection of all life. 

3 Three is the first point that gives us a curve.
3 Three gives us the first area, a triangle symbolizes the number 3.Three points uniquely define a circle. If you circumscribe a circle around a triangle, the cir-cum-center of that triangle will also be the center of that circle. 
3 Three represents the perfect balancing of two opposite elements by a third mediating element.
3 Three is the trinity of the body/mind/spirit. In other words, it is the integration of polarity which reveals a new creation.
3 Three is a rough approximation of π (3.1415...) and a very rough approximation of e (2.71828..) when doing quick estimates.
3 Three is the number of non-collinear points needed to determine a plane and a circle.
3 Three is the second triangular number. It is the only prime triangular number.


3 Three are the Magi – wise men who were astronomers/astrologers from Persia who gave Jesus three gifts.
Three for Triple Greatness of Hermes Trismegistus is an important theme in Hermeticism.


The Number FOUR/CHORS Arm. čork῾/čors/čors, 

Etymology from earlier Proto-Indo-European *kʷetwóres.
Numeral Four *kʷétwores, cardinal number 4.
Ancient Greek: τέσσαρες (téssares), τέτταρες (téttares), Greek: τέσσερις (tésseris)
Mycenaean Greek: (qu-to-ro-se)
Four has been assigned the four limits of direction — north, south, east and west — and, taking account of its spherical aspect, it has been assigned the center, axis, circumference and area. Spherical coordinates determine the position of a point in three-dimensional space. Moreover, there are also four ninety-degree divisions of the zodiac, the points at which by means of the ecliptic there is contact with the four zodiacal signs in which the summer and winter solstices and the two equinoxes occur. This forms a cross by being diametrically opposed. Thus heaven has four characteristic movements, which are interrelated and mutually dependent, and are special to it alone: forward through the mid-heaven in each latitude,  9 upward through something rising above the horizon, and downward through some- thing setting. 
Four is something well-founded, sturdily, able to stand by itself. All four CHORDS within an orb or a circle are like limbs or extremities from a center. The four lines or legs or feet of an animal or both arms and both legs or both hands and both feet of a person.  Landed on all fours an idiom suggests in conformity with, or corresponding exactly with. 
The things of this world are either magnitudes or multitudes, and the tetrad is said to be responsible for both categories.The cross mark is used to mark a fixed position, or as a check mark, but also to mark deletion. The Ch I posit is derived from the PIE mark of and reflex, phoneme Ch. It says in Wikipedia that 'Ch' is



 derived from the Ch of the Greek letter Chi, brought forward to the Latin letter X, Cyrillic Kha. Ch can now also be pronounced as [k], as in ache, choir, school and stomach. Most words with this pronunciation of ch find their origin in Greek words with the letter chi, like mechanics, chemistry and character. Most words today with the pronunciation of ch are said to find their origin in Greek words with the letter chi, like mechanics, chemistry and character. Others, like chiaroscuro, scherzo and zucchini, come from Italian.
intersection point point of intersection vertex metacenter point metacentre.
A sun cross, solar cross, or wheel cross is a solar symbol consisting of an equilateral cross inside a circle. The design is frequently found in the symbolism of prehistoric cultures, particularly during the Neolithic to Bronze Age periods of European prehistory. The symbol's ubiquity and apparent importance in prehistoric religion have given rise to its interpretation as a solar symbol, whence the modern English term "sun cross" (a calque of German: Sonnenkreuz).

noun: cross hair, a pair of fine wires crossing at right angles at the focus of an optical instrument or gunsight, for use in positioning, aiming, or measuring. 
Across expressing position or orientation. The same symbol is in  as a modern astronomical symbol representing the Earth rather than the Sun.⨁ A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The word circle derives from the Greek κίρκος/κύκλος (kirkos/kuklos), itself a metathesis of the Homeric Greek κρίκος (krikos), meaning "hoop" or "ring".[3]

The origins of the words circus and circuit are closely related. Carousel

.
 𒆠
COURSE as a noun is the route or direction followed by a ship, aircraft, road, or rivers on the Cartesian plane. Four COURSES, plural are the routes or directions in space on the Cartesian plane that divide the Terra into four to define a point of reference. Our English word “course” came into English in the late 13th century, and for several hundred years it was spelled without an “e” at the end, like the French word it came from (cours). The French got it from Latin, in which cursus means a race, a journey, a march, or a direction.
Course is քարաշար, in Armenian and four-ty is քառա-սուն adjective Forty. I posit that the PIE word CHORS in Armenian for Four can also be cognate to the word  Course in IE English. Course synonyms point the way toward a radial vertices or a circuit on Terra, like route, way, track, direction, tack, path, line, journey and especially relevant to four, Armenian Chorss, are the four directions on earth and in space, the course of the four rivers of paradise comes to mind. COURSE as a verb (said of a liquid) move without obstruction, a flow like a river or used like in "tears were coursing down her cheeks"  "The water coursed through the canals." "Neil could feel the blood coursing in his veins."
A route, way, track, direction, tack, path, line, journey, channel, trail, trajectory, flight path, bearing, heading, orbit

A CHORD in Geometry also stands out as an obvious cognate to the original Armenian or if you like PIE word for Four, CHORS.  chord is a line that passes through the center of the circle, it is considered the longest chord. A Chord is the diameter that break up a circle into two, or four fundamental right angle defining the four cardinals, or a chord devides through the central point a Cartesian circle  into as many segments as desired, 360 being the fundamental degree divisions.Among properties of chords of a circle in Geometry are many. Chords that are equidistant from the center if and only if their lengths are equal.   Equal chords are subtended by equal angles from the center of the circle. So a chord is a line or lines,or asegment joining two points on any curve, in any direction within a circle,for instance, an ellipse.The word chord it is said is from the Latin chorda which also means bowstring. However we have in the second century AD, Ptolemy of Alexandria compiled a more extensive table of chords in his book on astronomy. So I posit Chord and Chorss go back to origins of PIE, sacred geometry and Astronomy. In Astronomy and Astrology the Symbol EARTH IS CIRCLE WITH CROSS CHORSE CHOR DRY LAND FIRM LAND TERRA FIRMA is the land as compared to the sea and air.    

Many modern Pagan religions find within the number 4 a representation of the four directions north, south, east and west. Obviously the Greek word for Xoros, fits in etymologically speaking. Interestingly one can also accept Chorek, the bread designed as a cylinder braced by a cross through the center. Then there is the Armenian 'Easter' bread that spreads like a cross in four directions. Long before Christian, I might add was the tradition. Armenians and the also the neighboring people in Azerbaijan make a type of bread called chorek which is again round, flat round bread sprinkled with sesame seeds.
Four, as in the cardinal points, directions is also associated with the four pillars on which it was said paradise rests. The rivers of paradise flow out from. allegorically they represent the need for uplifting the spirit of earth dwellers, their moral strength. the four pillars which have become the dogma of the faith, the four forces of ascension, the four elements earth air fire and water.
In astronomy, axis mundi is the Latin term for the axis of the Earth between the celestial poles. In a geocentric coordinate system, this is the axis of rotation of the celestial sphere. Consequently, in ancient Greco-Roman astronomy, the axis mundi is the axis of rotation of the planetary spheres of the classical geocentric model of the cosmos.

In 20th-century comparative mythology, the term axis mundi, also called the cosmic axis, world axis, world pillar, center of the world, world tree) was greatly extended to refer to any mythological concept representing "the connection between Heaven and Earth" or the "higher and lower realms". This is the origin of Armenian or PIE 'Chorss.'
In linguistics, more precisely in traditional grammar, a cardinal number or cardinal numeral (or just cardinal) is a part of speech used to count, such as the English words one, two, three, four.

 Again the Chords are the diameters that break up a circle into four cardinals.
It is well worth noting that the 'Ch' phoneme or reflex in Armenian, sigil Չ, is a (negative) as in No, or not. it is used when quartering a circle, chopping up or cutting up a line or a mass.. As a phrase for example yem/եմ, for 'I am' becomes chem/Չեմ, as in, 'I am not' or (ըսի I said, Չըսի I did not say.)Also worth noting when in grammar, is that the reflex -s, Armenian -u, is a possessive article for First Person Singular as well as for the pronominal article on a personal ending when added to the Verb-stem indicating the Second Person Singular Present tense. The word cardinal


is derived from the Latin name "cardo", which identified, in Roman cities, the street traced from north to south and passing through the center of the city. ... The cardinal points are also known as the four senses or main points of the compass; North, South, East, West.
CARDINAL in Hindi is CHATURDIS चारों ओर.  Charon is translated 'IN THE ROUND' it is a (Noun) which gives the meaning 'of quarters' (quarters of the world) Four directions. From around the world In four directions. This means that the only truly cardinal point, at least from the etymological point of view, should be the North, and, to a lesser degree, the South. That is why the expression "of cardinal importance" is used when we want to emphasize that importance. Of the cardinal points, it is the North that identifies the direction of orientation, so it is usually said in a figurative sense that a person has lost his North when he is disoriented or has lost his way. 
Conjecture: So the north south line must be cut by the east west line before we have the four point cross within a circle. CUT, CH being the operative reflex in PIE language CH the cut, O the circle, R the movement and S the singularity the manifold four quarters in one,
The cardinal points are also known as the four senses or main points of the compass; North, South, East, West.

The Chorss I believe is closely related to the  concept of say the (navel) of the world or cosmos. In Mircea Eliade's opinion, "Every Microcosm, every inhabited region, has a Centre; that is to say, a place that is sacred above all." Items adduced as examples of the axis mundi by comparative mythologists include (notably a tree, a mountain, a column of smoke or fire, or a product of human manufacture (such as a staff, a tower, a maypole, a cross, a steeple, a totem pole, a pillar, a church spire). The Arevakhach(solar cross) symbol often found in Armenian memorial stelae is claimed as an ancient Armenian solar symbol of eternity and light.

 
The "sun cross" or "solar wheel" (🜨) is often considered to represent the four seasons and the tropical year, and therefore the Sun (though as a modern astronomical symbol, it means the earth). The Bronze Age symbol has also been connected with the spoked chariot wheel, which at the time was four-spoked (compare the Linear B ideogram 243 "wheel" 𐃏). In the context of a culture that celebrated the Sun chariot, the wheel may thus have had a solar connotation. 
The contemporary words like CIRCA, CHURCH, CHAIR, CURSUS which have ambiguous etymologies are other possibilities when one speaks of cognition.
Cursus Barrows is the name given to a Neolithic and Bronze Age round barrow cemetery located mostly south of the western end of the Stonehenge Cursus. The cemetery contains around 18 round barrows scattered along an east-to-west ridge, although some of the mounds are no longer visible. The Cursus Barrows can be seen just north of the route between the Stonehenge Visitor Centre and Stonehenge.

The Number FOUR, Armenian Chorss or čork῾/čors/čors, the digit 4 is associated with the earth colors green and emerald. The gemstones symbolized by 4 are jade and emerald. Plants associated with four are ivy, bamboo and baby's pure breath.

Four allegorically can represent the physical platform of earth dwellers, the earth one stands on when looking up to the sky in need for uplifting of the spirit , their moral strength. the four pillars which have become the dogma of the faith, the four forces of ascension, the four elements earth air fire and water.






The Number FIVE/HING. Arm. hing/hing/hink, I posit that the Armenian word HING for the number FIVE is the PIE origin of the English word HINGE. The present etymology which does not go back far enough traces Middle Low German henge "hinge," from Proto-Germanic *hangen (intransitive), takes a wild guess and claims its from  PIE *konk- "to hang". The word cardinal from cardo which is traced to Greek and to the Latin adjective cardinalis, which meant “serving as a hinge.” The root of this word is the noun cardo/hinge. Since a hinge 

 is the device on which everything turns, cardo came to mean “something on which a development turns” and as a result “something very important.” Hinge is cardo maximus which was the "hinge" or axis of the city, derived from Greek καρδίᾱ, kardia — 'heart'. The Quintessential.
Pythagoras believed that 5 represented man/woman in perfect balance with the universe and containing the sum of the male and female elements. At times this was taken to symbolize marriage. For the Sikhs, the number symbolizes the five sacred objects that are worn by all males. The Chinese believe the number represents the 5 elements that are used in the divination oracle The I Ching as well as on the Pa' Kua that is a device used for determining Feng Shui: FIVE ELEMENTS, earth, air, water, fire and metal.

Hinge One of the four cardinal points, east, west, north, or south."When the moon is in the hinge at East.""Nor slept the winds . . . but rushed abroad."
Hinge That on which anything turns or depends; a governing principle; a cardinal point or rule; as,this argument was the hinge on which the question turned.
rned upon the other; the articulation of a door, gate, shutter, lid, etc., to its support, or of two equally movable parts, as of a fire-screen, to each other. A metallic hinge for a door or the like consists of the two leaves or straps, the knuckle or rounded and perforated projection in alternate parts at their inner ends, by which they are joined, and the pin or pintle which passes through the knuckle and on which the hinge turns.
n hinge A natural movable joint; an anatomical articulation turning in a single plane, as that of the knee or of a bivalve shell. See hinge-joint, and cut under bivalve.
n hinge Figuratively, that on which anything depends or turns; a cardinal or controlling principle, rule, or point.
n hinge One of the cardinal points, north, south, east, or west.
n hinge In entomology, the cardo or basal part of the maxilla. See cut under Insecta.

In Wiccan circles, five can be found in the star shaped pentagram that symbolizes the four elements of earth, air, fire, and water surmounted or united by spirit.

Deities associated with the number 5 include Dionysus, the Greek God of Wine and Ecstatic Revelation; Ishtar, the Babylonian Goddess of Love, Sex and War; Mars the Roman God of War and Thor the Norse God of Thunder.

The colors sky blue and turquoise symbolize the number 5. The gemstones associated with 5 are turquoise and aquamarine. The flower associated with 5 is the anemone.

It is the spin that puts the feminine and masculine energies of the Earth and the Space into Creative Action. Indo-European root shared by Latin quinque.


Pythagoras believed that 5 represented man/woman in perfect balance with the universe and containing the sum of the male and female elements. At times this was taken to symbolize marriage. For the Sikhs, the number symbolizes the five sacred objects that are worn by all males. The Chinese believe the number represents the 5 elements that are used in the divination oracle The I Ching as well as on the Pa' Kua that is a device used for determining Feng Shui: FIVE ELEMENTS, earth, air, water, fire and metal.


Hinge One of the four cardinal points, east, west, north, or south."When the moon is in the hinge at East.""Nor slept the winds . . . but rushed abroad."
Hinge That on which anything turns or depends; a governing principle; a cardinal point or rule; as,this argument was the hinge on which the question turned.
rned upon the other; the articulation of a door, gate, shutter, lid, etc., to its support, or of two equally movable parts, as of a fire-screen, to each other. A metallic hinge for a door or the like consists of the two leaves or straps, the knuckle or rounded and perforated projection in alternate parts at their inner ends, by which they are joined, and the pin or pintle which passes through the knuckle and on which the hinge turns.
n hinge A natural movable joint; an anatomical articulation turning in a single plane, as that of the knee or of a bivalve shell. See hinge-joint, and cut under bivalve.
n hinge Figuratively, that on which anything depends or turns; a cardinal or controlling principle, rule, or point.
n hinge One of the cardinal points, north, south, east, or west.
n hinge In entomology, the cardo or basal part of the maxilla. See cut under Insecta.
In Wiccan circles, five can be found in the star shaped pentagram that symbolizes the four elements of earth, air, fire, and water surmounted or united by spirit.


Deities associated with the number 5 include Dionysus, the Greek God of Wine and Ecstatic Revelation; Ishtar, the Babylonian Goddess of Love, Sex and War; Mars the Roman God of War and Thor the Norse God of Thunder.


The colors sky blue and turquoise symbolize the number 5. The gemstones associated with 5 are turquoise and aquamarine. The flower associated with 5 is the anemone.


It is the spin that puts the feminine and masculine energies of the Earth and the Space into Creative Action.

cardinal

cardinal ‎ in
see also Cardinal

cardinal (English)

Origin & history

From French cardinal, from Latin cardinālis ("pertaining to a hinge, hence applied to that on which something turns or depends, important, principal, chief"), from cardō ("hinge") + -ālis, adjectival suffix.

Pronunciation

  • (Brit. Eng.) IPA: /ˈkɑː.dɪ.nəl/
  • (Amer. Eng.): IPA: /ˈkɑɹdɪnəl/

Adjective

cardinal (comparative more cardinalsuperlative most cardinal)
  1. Of fundamental importance; crucialpivotal.
       cardinal rule
    • Shakespeare
      But cardinal sins, and hollow hearts, I fear ye.
    • Sir Thomas Browne
      the cardinal intersections of the zodiac
    • Drayton
      Impudence is now a cardinal virtue.
  2. (nautical) Of or relating to the cardinal directions (northsoutheast and west).
       cardinal mark
  3. Describing a "natural" number used to indicate quantity (e.g., onetwothree), as opposed to an ordinal number indicating relative position.
  4. Having a bright red color (from the color of a Catholic cardinal's cassock).



The Number SIX/VETSArm. vec῾/vec῾/vec῾ 
For Christians, Jews and Muslims, the number 6 which represents the number of days that the world or the phenomena were created in.

In Mathematicians revere the number 6 because it is the first perfect number.
A SPATIAL VECTOR DEFINES MAGNITUDE IT CARRIES THE FIRST POINT TO THE LAST POINT. In mathematicsphysics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra.
A Euclidean vector is frequently represented by a line segment with a definite direction, or graphically as an arrow, connecting an initial point A with a terminal point B, and denoted by A vector is what is needed to "carry" the point A to the point B; the Latin word vector means "carrier" bearer.
Six is symbolised by the Central point in the double-Triangle;
The six-pointed Star refers to the six Forces or Powers of Nature, the six planes, principles,  which are all synthesized by the seventh, or the central point in the six pointed Star.


The prefix of VETS, is վեհ which is a syllable adjective meaning Majestic, sublime, grand, imposing.  հեց noun Hoop. 

The number 6 is symbolized by the colors deep blue, navy and royal blue. Flowers that symbolize the number are thistles and bluebells. 

Gemstones associated with 6 are sapphire and lapis lazuli. The Armenian Stone. 


Like many other aspects of Armenian culture, not much has been written about the Armenian usage of the hexagram. Even though its usage in science, art, architecture, decorations and even for religious purposes has been extensive throughout the history.

The fortress cities and temples that have been excavated in Armenia (some going back as far as 7000 years) show a remarkable awareness of using sacred geometry in constructing sacred buildings. Their use of complex combinations, or system of triangles, squares, circles, pentagrams, hexagrams and polygons with intersecting patterns and results is abundant. Without the knowledge of sacred geometry, one could not have build anything, this knowledge is the key to the survival of the Armenian culture and I believe to be a key to unlocking the secrets of the Armenian universe. 
Armenian church steeples that are constructed in the shape of a six pointed star, suggest that the usage of the hexagrams to support the dome on a four pillared, rectangular base was the obvious one. The most famous example of architectural usage of a hexagram based dome can be admired in the 12th century Armenian Church, the Cathedral of St. James in Jerusalem. Where the hexagram shaped arches are supporting the dome. Similar dome arches in the shape of a six pointed star can be found throughout ancient Armenia.



The Number SEVEN/YOTAArm. ewt῾n/yot῾/yot῾ě  
777; I posit that the root word Yota, is the point the particle that is at rest as in yota for seven in Armenian. 
In its Unity, primordial light is the seventh, or highest, principle, the six planes, principles, all synthesized by the seventh, or the central point in the Star. Seven is symbolised by the Central point in the double-Triangle, like in later version of ‘Let there be Light, and it was Light.’
YOTER ss a triliteral YTR gives us YETER in Armenian is, եթեր noun Ether which is described as extremely delicate and light in a way that seems not to be of this world, as in "ethereal beauty", divine heavenly. Primordial light is the seventh, or highest, principle, Daivi-prakriti, the light of the unmanifested Logos. But in its differentiation it becomes according to ancient and medieval science, aether (/ˈiːθər/), also spelled æther or ether, it is the material that fills the region of the universe above the terrestrial sphere. The concept of aether was used in several theories to explain several natural phenomena, such as the traveling of light .The word αἰθήρ (aithḗr) in Homeric Greek means "pure, fresh air" or "clear sky". In Greek mythology, it was thought to be the pure essence that the gods breathed, filling the space where they lived, analogous to the air breathed by mortals.

The number 7 is equally sacred amongst Islamic, Christian and Jewish religions. According to Jewish and Christian mythologies it took six days to create the world with the seventh day being the holiest day - a day of rest. The Bible, Zohar and other religious texts also recommend that fields were to be left fallow every seventh year as means of allowing the earth to regenerate itself. Some Christians believe the number 7 represents the seven levels of hell.
In religious or mythological cosmology, the seven heavens refer to seven levels or divisions of Heaven. The concept, derived from ancient Mesopotamian religions, can be found in the Abrahamic religions such as IslamJudaism and ChristianityThe number seven corresponds to the seven classical planets known to antiquity. Ancient observers noticed that these objects (MercuryVenus, the Moon, the SunMarsJupiter, and Saturn) moved at different paces in the sky both from each other and from the fixed stars beyond them.The concept of seven heavens as developed in ancient Mesopotamia symbolised both physical and metaphysical concepts.[4] In the Sumerian language, the words for heaven (or sky) and earth are An and Ki.[5] The ancient Mesopotamians regarded the sky as a series of domes (usually three, but sometimes seven) covering the flat earth.[6]:180 Each dome was made of a different kind of precious stone.[6]:203 The lowest dome of heaven was made of jasper and was the home of the stars.[7] The middle dome of heaven was made of saggilmut stone and was the abode of the Igigi.[7] The highest and outermost dome of heaven was made of luludānītu stone and was personified as An, the god of the sky.[8][7] The celestial bodies were equated with specific deities as well.[6]:203 The planet Venus was believed to be Inanna, the goddess of love, sex, and war.[9]:108–109[6]:203 The sun was her brother Utu, the god of justice,[6]:203 and the moon was their father Nanna.[6]:203 Ordinary mortals could not go to heaven because it was the abode of the gods alone.[10] Instead, after a person died, his or her soul went to Kur (later known as Irkalla), a dark shadowy underworld, located deep below the surface of the earth.[10][11] Sumerian incantations of the late second millennium BCE make references to seven heavens and seven earths. One such incantation is: "an-imin-bi ki-imin-bi" (the heavens are seven, the earths are seven.)[2][12]
The understanding that the heavens can influence things on earth lent heavenly, magical properties to the number seven itself, as in stories of seven demons, seven churches, seven spirits, or seven thrones. The number seven appears frequently in Babylonian magical rituals.[13] The seven Jewish and the seven Islamic heavens may have had their origin in Babylonian astronomy.[2]
In general, heaven is not a place for humans in Mesopotamian religion. As Gilgamesh says to his friend Enkidu, in the Epic of Gilgamesh: "Who can go up to heaven, my friend? Only the gods dwell with Shamash forever". Along with the idea of seven heavens, the idea of three heavens was also common in ancient Mesopotamia.
hay-yoth (Hebrew חַיּוֹת chayot, from חַיּ chai, "live") are a class of heavenly beings described in the prophet Ezekiel's vision of the heavenly chariot in the first and tenth chapters of the Book of Ezekiel. References to the creatures recur in texts of Second Temple Judaism, in rabbinical merkabah ("chariot") literature, and in the Book of Revelation in the New Testament.

It is Hebrew tradition to mourn, or sit Shivah, for a period of 7 days.


The Number EIGHT/UTE'/OWT'  Armenian. owt῾/ut῾ě,
ութ, ութը is the Armenian adjective for the numeral eight

Starting with -ութիւն which is the suffix in Armenian for forming abstract nouns, we remind ourselves that an abstract noun means denoting an idea, a quality, or state rather than a concrete object, it is abstract because it is something that can't be experienced with the five senses for example a concept like truth, danger, happiness. Abstract forms of nouns are very common and a vital part in communication. In English grammar, in many cases these abstract nouns are devised by adding a suffix to the root word. In English the suffixes are -tion, -ism, -ity, -ment, -ness, -age, -ance, -ence, -ship, -ability, -acy. 
In Armenian there is only the one suffix, as above, -ություն, transliterated, -owt*tune, which forms all the numerous abstract and collective nouns in Armenian. Examples are, լավություն kindness, հպարտություն pride, համարձակություն courage, կոպտություն roughness, ուրախություն gladness, միություն union, etc.

I posit that the abstract noun suffix -ություն, alternatively written -ութիւն,  sounded-owt'tune or -owt'tiv'n, is a compound word itself, with the first element  -ութ, -owt, which translates to the numeral eight, the octave and the second element, -թիւն, tiv'n, which translates to the word 'number' and  that  owt'tivn as a compound word, is used as a suffix to converts pronouns, concrete nouns, adjectives and verbs to abstract (uncountable or mass or universal) nouns, by using the idea of the inherent power that rests in the meaning of the numeral eight
It may be a coincidence or a wild guess on my part but if you bear with me I will demonstrate that English I directly connected to PIE and to Armenian which is a living PIE language. Above we showed that the numeral eight is written, -ութ and phonetic resemblance to the English word owt is uncanny. The Wiktionary or any English dictionary when we type in owt, gives us the following. OWT IN GRAMMAR (of a noun) that cannot form a plural or be used with the indefinite article. owt, in words like ‘courage’ and ‘information’ we say that they are 'uncountable nouns, anything whatsoever, any part or owt. We can also refer to owt as an (uncountableanything. Uncountable nouns are abstract nouns, they are uncountable because they refer to things that cannot be counted. They are the names for abstract ideas, concepts or qualities or for objects that are too small or too vague to be counted. like sand. Uncountable nouns only agree with a singular verb form. They do not take a plural form and do not use the indefinite article (a/an).
They are also referred to as MASS (NON-COUNT) NOUNS. Again mass is referring to an abstract noun denoting something that cannot be counted (e.g. a substance or quality). In everyday usage, mass and volume are often used interchangeable. Mass is the amount of matter or substance that makes something universal. Mass as an adjective always stays the same. When we look for a synonyms of mass, as an adjective, like when used as in 'mass hysteria' we find abstract nouns like wholesale, universal, widespread, general, large-scale, extensive, pandemic, all abstract nouns, concentration conglomeration accumulation aggregation concretion accretion assemblage collection, amassment, all uncountable, all too numerous to count, an abundance of light. A universal concept, represented by the numeral eight.

Something that is Universal, Relating to or done by all people or things in the world or in a particular group; applicable to all cases in grammar would need a suffix to express, for it is vital to language that incorporates abstract ideas and principals that are creations of the imagination shared by the uncountable masses, represented I posit by the universal numeral eight in original PIE Armenian

So as I said above, to be powered up by the numeral eight  suggests that inherent in the meaning of it must be magnitude, its place in the progression of numbers must give us a clue.  eight at origin  'incorporation' which means 'the inclusion of something as part of a whole.' Ut-Tiv which is eight plus Tiv.n which is number, does just that as a suffix, it create s an abstract noun in Armenian grammar.  comes to mind where the number is the action for the establishing an abstraction of an idea of something.
I believe it not to far fetched to think of -ութիւն, owt'iwn is an means of abstraction, a loaded prefix, taking the word up an octave, up to the eighth. How else would you suggest is an improvement in the logic or the inventor or grammarian. Take a pronoun, an adjective or verb to the highest magnitude from one. Eight the one after seven and before nine, a universal state of abstraction. Manifest magnify, magnitude.

According to Hindus in India, 8 represents the Goddess of wealth and prosperity, 

The eighth day by Christians In ancient christian times, Sunday – which was also known as the first day of the week, was also referred to as the eighth day by Christians.

This day was considered a holy day from the earliest of times by Christians (despite some weak arguments that Constantine, or the Pope, “changed the Sabbath” some 400 years later), and this was because it was the day on which Christ rose from the dead!
 

My search takes me to the concept of Justice with the Pythagoreans more than 2000 years after the Armenians and Sumerians. UT’ and INN’.


I  have to include the names and functions of the first Sumerian pair named Utt' and Inn' because I have never found such a perfect phonetic match to the Armenian Utt and Inn for the numerals Eight and Nine. Utu, was the ancient Mesopotamian Sun god, god of justice, morality, and truth, and the twin of the goddess Inanna, the Queen of Heaven. So suggesting that UT' and IN' were the king and queen of heaven. He was said to represent the light of day, said to ride through the sky in his sun chariot and see all things that happened below in the day. Thus he was the enforcer of divine justice and a good guy who aided those in distress on earth. According to Sumerian mythology. Ina the Queen of heaven probably took the lime light radiated from the moon and stars at night.
Utu is described as the son of An, heaven and also Enlil. Their offspring were the goddess Kittu, whose name means "Truth", and the god Misharu, whose name means "Justice". Very abstract nouns, ideas, principals.
Utu's main symbol was the solar disc, a circle with four points in each of the cardinal directions, made up of eight lines, radiating out,from the center, plus four sets of three wavy lines, like an X, on the diagonal which appear to be radiating inward toward the center, from the circumference from the circle. Our Tau was derived from the Phoenician letter taw which originally looked like our letter X.  Letters that arose from from the Phoenician tau include Roman T and Cyrillic Te (Т, т

In Pythagoreanism life in this world is social and in the realm of society justice existed when each part of society received its due. The Pythagorean tradition of universal justice was later referenced by Plato. For Pythagorean philosophers the soul was the source of justice and through the harmony of the soul, divinity could be achieved. Injustice inverted the natural order. Early-Pythagoreans believed that after the death of the body, the soul would be punished or rewarded. Humans could accomplish, through their conduct, that their soul was admitted to another world. The reincarnation in this world equated to a punishment. 



Associated with the number 8 are Hermes/Mercury, the Messenger between heaven and earth and also all the Queens of Heaven.
As far back as Ina the Queen of heaven as shown above as Queen to Ut the King.next for the number nine.

The Number NINE/INNA  Arm. inn/inn/inně,

In occult circles, 9 is considered to be the number of completion and is closely connected with the Dead, especially one's personal ancestors, and with the forces of the cemetery and the Underworld. The nine is also associated with Hecate, the Queen of the Witches.

In Chinese mythology, the number composes the lo-shi, a magic square that comprises the first nine single digits on the number line.

Gods and goddesses associated with the number nine include: Juno, the Roman Queen of Heaven; Luna, the Roman Goddess of the Moon and Odin, the All-Father & Ruler in Norse mythology.

The number 9 is symbolized by the colors white and pearl. 9 is associated with the silver, platinum, diamond and pearl. Flowers associated with the number are white carnations, white roses and lily of the valley
I=9 , numerology






The Number TEN Armenian DASA or tasn/tas/dasě,
The decad--10--according to the Pythagoreans, is the greatest of numbers, not only because it is the tetractys (the 10 dots) the sum of the 1=2=3=4, no more, totality, but because it comprehends all arithmetic and harmonic proportions. Pythagoras said that 10 is the nature of number, because all nations reckon to it and when they arrive at it they return to the monad. The decad was called both heaven and the world, because the former includes the latter. Being a perfect number, the decad was applied by the Pythagoreans to the power of memory.The Pythagoreans stated that the decad perfected all numbers and comprehended within itself the nature of odd and even. They associated its power with the following deities included the Greek Gods Atlas, who bore the weight of the whole world, the globe on his shoulders and Uranus the infinite sky, who was responsible for imagination and tools/technology.

General definition of Dasa (in Buddhism) — Dasa in Buddhism glossary Source: Wisdom Library.

Daśa (दश, “ten”) is the second of sixty digits (decimal place) in an special enumeration system mentioned by Vasubandhu in his Abhidharmakośa (“treasury of knowledge”). The explanations of the measure of years, eons, and so forth must be comprehended through calculation based on a numerical system. Enumeration begins from one and increases by a factor of ten for each shift in decimal place. The sixtieth number in this series is called “countless”.

Among these decimal positions (eg., daśa, “ten”), the first nine positions from one to one hundred million are called ‘single set enumeration’. From a billion up to, but not including countless is “the enumeration of the great companion” and is called the ‘recurring enumeration’.
 DASA appears to represent the first nine positions from one to ten both the finite and the infinite the ONE and the ALL.  A retainer a placeholder. 
daśa (दश).—a (S) Ten. In comp. with Sanskrit words, as daśāvatāra, daśarātra, daśāha, daśadiśā &c., all of which, after this notice, it will be unnecessary to insert.
Dasapushpam (from Sanskrit dasameaning 'ten', and pushpam, meaning 'flower'), or the ten sacred flowers of Kerala, are ten herbs traditionally significant to Keralites, the people of Kerala, India..
Dasavidha-rājadhamma translates to ("tenfold virtue of the ruler") these are the virtues of the dhamma that rulers of people, organisations, companies, offices, countries or other organs are purposed to hold. 

In Sanskrit the word Dasa  दास)  also means servant, or a "devotee," or "votary" an attendant, a follower. "Dasa" was most probably one who had surrendered, most likely to a God. 

Dasa has a PIE root also traced in Sanskrit daśa, Greek deka, and Latin decem
A synonym of of the word servant  is a retainer, which is someone or something, that holds something in place which brings us to MATHEMATICS where it is a significant zero in the decimal representation of a number. 

At root retainer is traced to Latin, retinere, which translates to "hold back, or "keep back," "detain," "restrain," from re- "back" (see re-) + tenere "to hold," from PIE root *ten- "to stretch. 

Also from PIE root we have, borrowed from Old French contenir, from Latin continere (“to hold or keep together, comprise, contain”), combined form of con- (“together”) + teneō (“to hold”).


0. As a digit, 0 is used as a placeholder in place value systems. Names for the number 0 in English include zero, nought (UK), naught (US) (/nɔːt/), nil, or—in contexts where at least one adjacent digit distinguishes it from the letter "O"—oh or o (/oʊ/).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil



INFO TO REVIEW


VETS vestaVEX fire

Vex is a synonym for inflame in anger topic. In some cases you can use "Vex" instead of "Inflame".


Concerning the status of Vesta's hearth, Dionysius of Halicarnassus had this to say: "And they regard the fire as consecrated to Vesta, because that goddess, being the Earth and occupying the central position in the universe, kindles the celestial fires from herself." Ovid agreed, saying: "Vesta is the same as the earth, both have the perennial fire: the Earth and the sacred Fire are both symbolic of home." The sacred flames of the hearth were believed to be indispensable for the preservation and continuity of the comunity and the Roman State: Cicero states it explicitly. 







HEKATE (Hecate) was the goddess often depicted in triple form. She was the only child of the Titanes Perses and Asteria from whom she received her power over heaven, earth, and sea.The place of origin of her following is uncertain. "Intrinsically ambivalent and polymorphous, she straddles conventional boundaries and eludes definition."



2. Yergu? The word Catechize/երախայ is a back and forth between two points. in Armenian it is to instruct (when one instructs another) in the principles by means of question and answer. To put questions to, or interrogate (someone).
catechized another about an unknown quantity.

Thinking is the human process of using knowledge and information to make plans, interpret and model the world, and constructively interact with and make predictions about the world in general.

10 In mathematical logic, especially set theory and model theory, the back-and-forth method is a method for showing isomorphism between countably infinite structures satisfying specified conditions. First-order logic—also known as predicate logic, quantificational logic
"2" In the Tarot deck, the number two represents duality, choices, decisions and partnerships.
FINALLY the number 2 is associated with the colors orange, gold, tangerine and peach. Flowers associated with 2 are freesias, orange roses and orange lilies. Gemstones associated with the number 2 are gold and coral.

The Number TWO/YERGOO Arm. erkow/yerku/yergu,. 

2: We know that the Greeks, the ancients showed that the dyad belonged to Rhea the wife of Kronos.

3; /էք/ in Armenian is a noun for Creatures
3; -էք as a final syllable of verbs in ել2nd person plural




ONTOLOGY BEING AND BECOMING, A PROCEEDURAL GENERATION
One of the earliest formulations of the cosmological argument in Islamic tradition comes from Al-Ghazali, who writes:"Every being which begins has a cause for its beginning; now the world is a being which begins; therefore, it possesses a cause for its beginning."GENE ONTOLOGY ontological hierarchy.
WOLFF defines ontology as the science of being in general. He sees it as a part of metaphysics besides cosmology, psychology and natural theology. According to Wolff, it is a deductive science, knowable a priori and based on two fundamental principles: the principle of non-contradiction ("it cannot happen that the same thing is and is not") and the principle of sufficient reason ("nothing exists without a sufficient reason for why it exists rather than does not exist"). Beings are defined by their determinations or predicates, which cannot involve a contradiction. Determinates come in 3 types: essentialia, attributes, and modes. Essentialia define the nature of a being and are therefore necessary properties of this being. Attributes are determinations that follow from essentialia and are equally necessary, in contrast to modes, which are merely contingent. Wolff conceives existence as just one determination among others, which a being may lack.
Ontology is interested in being at large, not just in actual being. But all beings, whether actually existing or not, have a sufficient reason. The sufficient reason for things without actual existence consists in all the determinations that make up the essential nature of this thing. Wolff refers to this as a "reason of being" and contrasts it with a "reason of becoming", which explains why some things have actual existence.

Contemporary atomic theory has proved size to be the result of number, for a mass is made up of minute units though mistaken by the uninformed for a single simple substance.

Today a mathematician who works in the field of geometry is called a geometer. Yesterday a mathematician who worked in the field of Astrology, Geometry, earth sciences was called a metrogeo.
To manifest, as in Mani, manu, mind?
The  Rta, the Aratta in  Armenian .  
fair adjective Just, fair, equitable, righteous, lawful, impartial, legitimate.In the Rig Veda there is a remarkable insight on the notion of Rta or Cosmic Order, the inflexible law of universal order and harmony whereby all disorders and chaos is restored to equilibrium. Rta is, in essence, the ordering principle of nature, which gives to everything from the vast galaxies, down to the nucleus of an atom, their nature and course. In the Vedic vision, this law of cosmic order is conceived to be manifesting at three levels: on the cosmic plane Rta governs the course of nature; on the socio-ethical level, Rta imparts justice; and on the religio-spiritual level, Rta mirrored the ritual performances of the sacrificial ritual (yajna). Rta contributes to the maintenance of balance between the micro and macro levels of existence. 





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