Introduction 2
Progressive Thinkers as of 5/8/2020
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The word "numeral" in linguistics refers to a word or phrase that refers to a numerical quantity, and may thus substitute for quantity without a person even realizing they are expressing a numerical reference such as in the previously stated phrase of "one too many". The phrase me, myself and I is a numerical expression representing a 3 in 1 ratio, similar to the Christian Trinity with its three persons in 1 godhead. Other words or phrases can be interpreted to represent a quantity by a pairing of one item with another such as a bowl of cereal, or a cup of coffee, or a pan of food, or a pail of water from a water well, stream, lake, etc... Similarly, a word such as boat when contrasted to raft or ship can imply a certain size measured in terms of how many people can be carried, even though no one at a given time may make any reference to a specific quantity. Some quantities are taken for granted as a numerically unspecified amount such as a bottle of soda pop, milk, ketchup; or jar of jelly, peanut butter, pickles; or a can of beans, soup, etc., though some items may have an inherent limit as to what paired items would be associated with the container such as a can of beans, can of coffee, can of tomatoes, etc... A person may not routinely describe a can of apples, can of watermelon, can of celery, etc... In many instances a given container may be thought of in a given way such as a shoe box, hat box, glove box, tool box, toy box, etc... Nonetheless, each container may well represent a given limit of one or more items and thought of in such terms. Whereas the quantity of cigarettes in a box (or package) may be known to some, others might well routinely say several.
The point to be made is that the usage of "many" as a stand-alone reference or in conjunction with a set of other numbers, is a recurring cognitive pattern referencing a quantity, even if no exact quantity is ever itemized such as when we say a bunch of grapes, or a deck of cards, or shoot a game of pool, etc... Numbers can be involved with our descriptions if we so choose to apply enumeration, though many people do not routinely do so for each and every thing they are interested in. Yet, let us not overlook that some expressions while suggesting a much or many quantity, are not intended to be used in other than a general explanation for the purposes of conveying a degree of purposed immeasurable intensity or depth-width-breadth assigned in conjunction with a feeling such as one's love, hate, concern, etc. for another.
Citing the "Pentadactyl Limb" as representative of a Standard Cognitive Model is not meant to imply that it represents all models of cognitive activity. It does however provide us with an illustration describing patterns which can be routinely seen in different subjects though all such subjects may not have any researcher attached to them who actively makes a comparison of enumeration among different subjects. Far too many people think that the usage of numbers in making correlations is an exercise in Numerology, even though they really don't know what Numerology entails. Making a list of ideas represented by numbers gives us an indication of what numerical patterns are more frequent under what circumstances and which patterns are less frequent and those which apparently present themselves as being absent from an intermittent routine usage, much less being absent altogether. Whereas it is routine for researchers to compare geometric patterns found in nature without being accused of engaging in something that is to be interpreted negatively as a substandard effort or exercise in an intellectual pastime, the use of numbers in an otherwise unconventional application is interpreted either as an artistic exercise (such as in using numbers to paint with), or some esoteric enterprise akin to some ancient numerological practice. In other words, it is not taken seriously as a bona fide research activity; even though if one looked at the different types of so-called mathematics studies, there would be found rather questionable exercises being paid for by University curriculums.
The "1 bone- 2 bones- Many bones" categorization in the above Pentadactyl image may obscure the use of the word "bone" being distinctly referenced in different contexts. For example:
- bone head, knucklehead/numbskull (not intelligent)
- funny bone (ulnar nerve tingling sensation)
- back bone (courage)
- boner (erection of penis) to bone a female: (have intercourse)
- wish bone (two connected bones of a bird's clavicle found while eating). The person who is left with the larger bone after pulling it apart is said to be more lucky.
- tail bone (re fenced sometimes in the context of referring to a woman as a "split tail" or sexually as a piece of tail); also as a reference to a primate past that many religious-minded people want to dismiss as untrue.
- "I got a bone to pick with you" is a phrase meant there is some minor or major contention, misunderstanding or disagreement that needs discussing.
I have wondered whether the recurring cognitive patterns are all due to environmentally influenced patterns being exhibited by human physiology and behavior. For example, while we cite 100s of different amino acids made by the human body, only 20 or 21, or 22, or 23 amino acids need to be externally supplied through our food (which includes beverages). I say 20 to 23 because different sources make a claim for some especial amino acid characteristic involving these values, and some references assenting there are nine essential amino acids. Curiously, when we make a numerical comparison with amino acids and the occurrences of the equinoxes and solstices, one might encounter three days in different months varying as (Vernal equinox on March) 21st, (Summer Solstice on June 21st or) 22nd, and (Autumnal equinox around September) 23rd. Whether or not the two events are linked beyond mere numerical correlation has not been proved. In chromosomal abnormalities, the 21st chromosome is linked with down syndrome. Chromosome 21 is the smallest human chromosome with chromosome 22 the next smallest. Chromosome 23 is the normal compliment of chromosomes received from each parent, yielding an overall value of 46.
If we view the Pentadactyl limb illustration as a means by which the body is expressing a basic body plan, it is of need for us to consider the body plan may also symbolically exhibit a reference to other physiologically based activities such as mental activity. Indeed, because we can find other three-patterned body plan categories being exhibited, one must consider that it is mere coincidence or that it is a habit, or mimicry, or instinct or some other reason other than the rationale that such patterns are due to the inherent structure of the material being examined. For example, while there have bee alternative classification systems for things being observed, we of the present are inclined to separate all things into a two-patterned life and non-living, albeit transitional and metaphysical states are not withstanding. For example, let us use a list with enumeration:
- One: Living things.
- Two: Animal/Vegetable
- Three: Animal/Vegetable/Mineral
As simple as the foregoing examples may appear, humanity needed to start somewhere. Despite all the patterns humanity might have begun with and decided to use later on as the science of Taxonomy evolved, it retains a (two-patterned) Binomial naming system (nomenclature). The use of a two-name system apparently began with Aristotle, though one might argue that the Chinese had adopted a binomial system for all of life with the usage of a Yin/Yang formula. Nonetheless, from a Western perspective we find that Aristotle grouped animals such as those with blood and those without blood. Those animals which lived on land and those which lived in water. He also assumed animals could be grouped hierarchically from lowest to highest, with humanity occupying the top rung. (History of Taxonomy)
In our cognitive-standard system of counting, the usage of a comma after three values (such as following the hundreds place before inserting a thousands category), should be noted as a recurring theme that need not actually reference a typical hundreds value. For example, in some instances I initially encountered four or five items in a group which seemed to be an argument against the notion of recurring patterns-of-three; only to later realize the items could be itemized differently according to some value such as functionality. For example, we find the same three amino acids in both DNA and RNA but an additional amino acid in each of these being used as separate distinctions. Hence, I came to refer to them as three-to-one ratios. In other words, we have a set-of-three followed by a separate item and thus clearly represent a similarity to the idea of placing ones-tens-hundreds together separated by a comma before inserting a thousands place. Both DNA and RNA express similar models of a notation system being expressed in numbers, albeit without a visible comma being used to separate the three from the next item. It's as if along with the Fibonacci series exhibiting clusters of flowers and leaves found in Nature, our formula of counting 1s-10s-100s followed by a comma followed by a succession of three-grouped quantities having commas, is a pattern we see in nature as well. In some cases were a person may say they observe a five pattern, what may be the case is a group of three with a group of two, just as we might write 123,45. (1s-10s-100s comma 1000s-10,000s). What can be seen is a type of counting theme being expressed by Nature, unless the human-created counting scheme is a reflection of an underlying activity of Nature, but human ego wants to enforce the notion that mathematics is a supreme concept and not merely a shadow of something more important to be conceptualized. Indeed, mathematics could be just a shadow of some more fundamental pattern yet human ego wants to take credit for having devised some idea for having created a symbolic system that has no superior.
a small assortment of 3-to- 1 examples (A larger list is here: Three to one ratios page A)
- Clark Kent- Jimmy Olsen- Perry White... Lois Lane (3 males to 1 female from the old U.S. Superman television series)
- 3 female agents to 1 male case handler (Old U.S. television called Charlie's Angels)
- Apples, Peaches, Pumpkin Pie... whose not ready, holler I (Expression used when playing hide-n-seek)
- 3 face cards (Kings-Queens-Jacks) to one non-face card with a similar high value: the Ace
- One for the money, two for the show, three to get ready "AND" four to go.
3 rhymes/repetitions to 1 no rhyme
- Happy birthday to you, Happy birthday to you, (Happy birthday dear...) Happy birthday to you.
- For he's a jolly good fellow, For he's a jolly good fellow, For he's a jolly good fellow... which nobody can deny.
2 rhymes to 1 no rhyme
- Cinderella, Drisella... Anastasia (Cinderella fairytale)
- Wynken, Blynken... Nod (Bedtime nursery rhyme)
- Larry (curly hair), Curly (bald head, had a "woo-woo-woo" expression )... Moe (bowl cut hair style)- (U.S. comedy team called the 3 stooges
We find multiple occasions of repeating patterns in different subjects that should be linked by calling them different expressions of cognitive activity, much like the same characters changing costumes for different scenes, and using different scripts for different theatrical performances. However, there is a limitation to the patterns being expressed. A limitation is a conservation that must be induced from some originating source. At present, I lean towards the influence as being the result of an incrementally deteriorating environment with limited resources which are not being renewed as fast as they are being consumed. More and more people will eventually suffer because of this. And when I speak of an environmental cause, I am pointing more so to the larger planetary occurrences of a Sun that is burning out, an Earth's rotation that is slowing, and a Moon's receding away from the Earth. Each of these has an effect on weather patterns and creates a need for adopting to the changes in ways which may similarly be just as subtle to most observers who focus more on short-term catastrophic weather events because it is these that are being remarked about by news commentators whose interests are more inline with an agricultural orientation involving crops, animals and day-to-day survival interests and not long term supposed possibilities.
The recurring mental patterns found in multiple subjects represent small number profiles. For example, if we ask a group of people what their favorite number is, they may well provide examples of single-digit values, with a few expressing an interest in double-digit values, a smaller quantity saying they value a triple number and some people (especially those wanting to appear to be different), claiming some larger number. In any event, most point to a single number reference such as one, two, three, four, five, six, seven, eight or nine... if not zero. It may be helpful in correlating such frequencies of number interest with the frequencies of letters being used in the words we choose to express ourselves in within the confines of a given language. Vowels may be used more than consonants and letters such as "e", "a" and "i" used more frequently or just as frequent as another letter. However, one may also say that certain combinations of letters (if not numbers) are use most often as well. In any respect, the point to be made is that low quantities are most often used and low quantities are an expression of conservatism. Hence, the incrementally deteriorating environment, with its reduction in viable resources, is forcing the myriad of life forms to practice conservation as a survival mechanism. It is an activity which may well signal the eventual demise of humanity if it does not focus its energies and resources toward removing the species for the planet, the solar system and eventually the galaxy. In effect, the situation is a different perspective of the old "Three Body Problem" of celestial mechanics, which may in effect have been an unrecognized ancient intimation that such objects would present us with a far larger problem to overcome in the future, as presently being used in the present context. In other words, the ancient mathematicians may have symbolically deduced that a problem with the three objects existed, but owing to their lack of knowledge of multiple subjects which did not exist in their time period anyway, they were left with interpreting their impressions with the tools of their trade in the era to which they were born. In one sense they were insightful, but had no means of accurately interpreting the perceptions of the dynamic forces occurring with these three objects.
When we spot occasions of large number expressions such as in the case of a 16,000 chromosome count for ciliated protozoa (List of organisms by chromosome count), compared to humans with 46 and the jack jumper ant with a 2/1 spread, it is of need to think that nature may be "thinking" in terms of a clothing size categorization, such at large numbers represent a large or X, XX, XXX large category, similar to the rise of large size species we alternatively describe as giants or gigantism. While it is not customary to think of a small organism with 16,000 chromosomes as an expression of gigantism, this in fact may be the case. Instead of a one, two, three or three-to-one triplet code, Nature may alternatively rely on a small- medium- large sizing effect as an expression. The concept of developmental or body plan patterns may be part of an ensemble of maneuvers Nature uses in different environmental scenarios, just as it uses different life forms under which is a triplet DNA model. In other words, there may exist a taxonomy of patterns we can enumerate and thus denote as a taxonomy of cognitive patterning, which in terms of emotions we term hierarchically as an escalation or de-escalation consistent with a higher and lower scale of expressed emotion or value placed on a given idea.
Like a Fibonacci pattern: 0-1, 1, 2, 3, 5, 8, 13, 21..., Nature appears to use a repeating pattern of usage expressed most often in low (conserved) number values, with larger values coming under a criteria resembling those categories we see in clothing sizes (small, medium, large) with extensions of these using the same first and last tags coupled with one, two or three xs: xxx-small, xx-small, x-small/small- medium- large/ x-large, xx-large, xxx-large. No less, geometric features of relative sizing appear to be used as well: length-width-breath, 1-2-3 dimensions (so-called four dimensions is a 3-to-1 label). Even the quantity of matter forms (sold-liquid-gas) can be distinguished from the plasma category, thus providing another instance of the 3-to-1 ratio.
When we speak of cognitive standards, we find standards of thinking applied to multiple respective interests and orientations in different subjects. Some cognitive standards may persist for centuries while others are barely making their debut into the public sector, though they may have existed for years or decades in some esoteric or guarded fashion. The usage of three-lettered acronyms for some businesses, street gangs and government entities are cognitive standards that may or may not persist over time, while some linger in a particular cultural setting for awhile until they become extinct... though they may or may not be revived on some future occasion for a period of time. One such enduring cognitive pattern is to say that DNA has a triplet code instead of a 3-to-1 ratio, since the 3-to-1 ratio is not a well known nor understood schematic. And though the reference of DNA and RNA as having a triplet code is not actually that old of a cognitive orientation, it is accompanied by the thought that it developed billions of years ago. Hence, Nature appears to rely on patterns of activity that we may imaginatively describe as a cognitive pattern of Nature.
Another rather new cognitive standard is in looking at the Atom with its three large particles called the Proton-Neutron-Electron, which is now accompanied by the presently viewed cognitive standard that Protons and Neutrons contain three Quarks and three anti-Quarks. In some cases we refer to cognitive standards as staples, or plans, or blueprints, or functions, or reactions, or classes, or responses, or categories, or a classic, or tradition, or natural event, and multiple other labeling's used within a given subject's idioms, vernacular, jargon and overall vocabulary.
Let me provide a few examples of cognitively recurring patterns-of-three, though you might want to react to the list and claim there are other patterns which can be collated as well. And again I would respond that this is correct, but when we look at all such patterns of recurrence, we will notice that the patterns exhibit low number values within the sphere of the enumeration being used by a given source; thus representing a standard conservation of cognitive activity. Whereas someone might think that the usage of a three-lettered acronym is the expression of some sort of exceptional intelligence, it actually suggests that the human mind is being forced to condense and symbolize as a response to environmental pressures, owing to the presence of an incrementally deteriorating planetary system whose rate of decay is typically equated with an obsession with geological standards and not the characteristic short life spans of different hominids, of which the present human form is either in its infancy, adolescence, middle age, or old age.
Three classical problems of Mathematics:
Although Euclid solves more than 100 construction problems in the Elements, many more were posed whose solutions required more than just compass and straight=edge. Three such problems stimulated so much interest among later geometers that they have come to be known as the "classical problems": doubling the cube (i.e., constructing a cube whose volume is twice that of a given cube), trisecting the angle, and squaring the circle. ("mathematics" (2013). Encyclopædia Britannica.)
They Three Body Problem:
The inclusion of solar perturbations of the motion of the Moon results in a “three-body problem” (Earth-Moon-Sun), which is the simplest complication of the completely solvable two-body problem discussed above. When Earth, the Moon, and the Sun are considered to be point masses, this particular three-body problem is called "the main problem of the lunar theory," which has been studied extensively with a variety of methods beginning with Newton. Although the three-body problem has no complete analytic solution in closed form, various series solutions by successive approximations achieve such accuracy that complete theories of the lunar motion must include the effects of the non-spherical mass distributions of both Earth and the Moon as well as the effects of the planets if the precision of the predicted positions is to approach that of the observations. Most of the schemes for the main problem are partially numerical and therefore apply only to the lunar motion. An exception is the completely analytic work of the French astronomer Charles-Eugène Delaunay (1816–72)... ("Celestial mechanics" (2013). Encyclopædia Britannica.)
In astronomy, the Three Body Problem refers to determining the motion of three celestial bodies moving under no influence other than that of their mutual gravitation. No general solution of this problem (or the more general problem involving more than three bodies) is possible. As practically attacked, it consists of the problem of determining the perturbations (disturbances) in the motion of one of the bodies around the principal, or central, body that are produced by the attraction of the third. Examples are the motion of the Moon around the Earth, as disturbed by the action of the Sun, and of one planet around the Sun, as disturbed by the action of another planet. The problem can be solved for some special cases—for example, those in which the mass of one body, as a spacecraft, can be considered infinitely small; the Lagrangian case, in which the three bodies are in the same plane; and the Eulerian case, in which two bodies are motionless. ("Three-body problem" (2013). Encyclopædia Britannica.)
The three orders
In the 11th and 12th centuries thinkers argued that human society consisted of three orders: those who fight, those who pray, and those who labour. The structure of the second order, the clergy, was in place by 1200 and remained intact until the religious reformations of the 16th century. The very general category of those who labour (specifically, those who were not knightly warriors or nobles) diversified rapidly after the 11th century into the lively and energetic worlds of peasants, skilled artisans, merchants, financiers, lay professionals, and entrepreneurs, which together drove the European economy to its greatest achievements. The first order, those who fight, was the rank of the politically powerful, ambitious, and dangerous. Kings took pains to ensure that it did not resist their authority. ("History of Europe" (2013). Encyclopædia Britannica.)
The oldest system of growing food utilized a one-field system. It is a practice that is not typically mentioned when the other two systems are discussed:
Three Field System
The Three field method of agricultural organization introduced in Europe in the Middle Ages and representing a decisive advance in production techniques. In the old two-field system half the land was sown to crop and half left fallow each season; in the three-field system, however, only a third of the land lay fallow. In the autumn one third was planted to wheat, barley, or rye, and in the spring another third of the land was planted to oats, barley, and legumes to be harvested in late summer. The legumes (peas and beans) strengthened the soil by their nitrogen-fixing ability and at the same time improved the human diet. Because spring planting required summer rains, it was principally effective north of the Loire and the Alps. By providing two harvests a year it reduced the risk of crop failure and famine. It also made plowing more effective by two means. First, by doing slightly more plowing than under the two-field system, a community of peasants could roughly double their crop yield, though in practice the fallow was usually plowed twice to turn under the green manure. Secondly, the cultivation of a surplus of oats in the spring planting provided feed that made possible the substitution of the swifter gaited horse for ox power, after the introduction of the padded horse collar. ("Three-field system" (2013). Encyclopædia Britannica)
Date of (series) Origination: Saturday, March, 14th, 2020... AM
Date of Origination (this page): Saturday, 5th March, 2022... 4:29 AM
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