(Static -vrs- Dynamic Equations)
page 11a
~ The Study of Threes ~
http://threesology.org
Visitors as of 2/27/2021
Using Mathematics to prove or disprove the validity of Mathematics is like using Religion to prove or disprove the validity of Religion. Both are used as tools which can be contoured to work in different contexts, and with support from authority figures, become established as the dominant tool and instruction manual that become expected to provide results. Like drugs, many have become addicted to them. They have become their drug, their intoxication of choice. Instead of caffeine, sports, daytime soap operas, a given alcoholic or soft drink beverage, a given food, or pastime. If someone says we are addicted to this or that, we provide some rationale we adopt to satisfy our logic or else wise become addicted to personal recriminations for engaging in such since we can not provide ourselves nor others to combat their negative interpretation(s).
If a behavior such as drinking coffee is widely practiced, we may simply say that almost everyone does it and leave this as an adequate answer. The same goes for the subjects taught in one or another school, or some activity practiced by several others such as club, group, organization, gang, team, congregation, congress, legislature, or parliamentary associations. If multiple others do it and it has become socially accepted, the question of whether to question the activity may never come up. But we need to. And in so doing come to realize that mathematics is an addiction whose addictive properties need to become understood. They have a source and that source can be investigated much like the chemical properties of a plant or psychological properties by way of using psychiatry as opposed to psychology. Psychology is pseudo-psychology just as psychiatry is a pseudo-medical practice which does not incorporate different tools from different genres, and instead relies on a specific array because this has become standardized by usage. In this sense, Mathematics is a pseudo- instead of definitive logic. It does not have the adequate toolage to investigate itself.
Depending on which subject is used to investigate itself, when the results turn out to be crude approximations, then the tool of rationalization comes into play to force and enforce a compliance by way of adopting some exercised mental gymnastics routine to fulfill some semblance of rationale which help to maintain the illusion that authority figures and the institution(s) they support are viable and irreplaceable, except when current leaderships come to some sort of agreement that affords them sustained control over the public's attitude(s) in support of their generalizations which very often amount to illusions or even delusions. This is the present state of science supported by mathematics which religions also adopt as part of their rationalized belief systems of ritualized configurations being used to help convince a more educated public that the ideas presented by antiquated perspectives called religious belief are just as valid today as they were during a time of widespread ignorance, illiteracy, and superstition-aligned idiocy.
Mathematics, like all present day orientations of intellectual pursuit, has a measure of practiced utility like so-called criminology. In many cases, whereas the earliest beginnings of a practiced belief are discussed, the discussion may not focus on how irrationalities of the past have been contoured to fit within the language and day to day applications of pursuing some semblance of survival. In other words, like religions, present day practices of believed-in rationales for one topic of research or another do not attempt to unravel how much of their orientations are merely camouflaged uses of ancient beliefs. Like religions which came to adopt different views of so-called pagan perspectives, in order to prevent large numbers of people from being excluded. Such is the same for present practices of governments. They attempt to collate the divergent interests of groups so as not to create multiple groups of opposition to their authority. Hence, more and more governments and religions become practicing or ignoring ideas which in the past would have been viewed as either immoral or illegal. Mathematics is no different. Hence, we have multiple categories of permitted mathematical practice that in the past would have been viewed as "unpure". Indeed, there are those who practice so-called "pure" mathematics that may view applied mathematics as being crude and rude, while others view such a belief as that of a prude. Applied mathematics to some purists may be viewed in the manner of prostitution, though pure mathematics themselves are being paid to practice their craft by a pimp called an Educational Institution.
Instead of using a bullet list format I chose to use an enumerated one to make a point about all lists being conjured up by us humans. In others words, in many different instances, I have used numbers instead of simple marks of indexing in an attempt to portray the repetition of quantification that ideas are being expressed with. For example, whereas it is a convention amongst universities/colleges to label classes with numbers such as 101, 201, 301, etc..., with some classes designated with lower and higher than these three values. While different institutions may vary the enumeration somewhat (such as combining them with letters or course abbreviations), there appear to be some standards which many students and institutions recognize. The point to be made is that the system of numbers has a low value. There are only so many numbers being used and the overall pattern does not exceed values which might be viewed as hundreds, thousands, millions, etc.... There are only so many courses and these may be indicated with numbers and/or letters with small quantities. In other words, it is an arbitrarily developed system that has been copied. Simply using values containing multiple digits such as 10000000000000000001 instead of 101, does not alter the overall small quantity of courses being offered. Just because a given reader may be overwhelmed at the quantity of courses being offered by the overall number small quantity of departments at a University, does not mean the quantity is large. Parent courses can have multiple offspring, but they all share a commonality. Sub-categorization does not alter the basic low number... does not create a different parentage; just like having billions of cells in our body does not alter the basic presence of an underlying triplet code repeating itself. There are multiple billions of atoms, but the basic structure is a simple expression such as a pattern-of-three, and pattern-of-two, etc... Mathematics has fundamental patterns and one of these is the usage of static equations... not dynamic ones.
Apparently, all the lists being devised by humans are expressions of conservation. We routinely come upon large explanations portrayed with a few key elements, and these elements are quantifiable. Across different subjects we can find recurring uses of similar patterns and these patterns are low in quantity. Whereas I (and others) have been collecting patterns-of-three occurrences, we also recognize and catalog other patterns as well. Nonetheless, the overall quantity of different patterns is small... is conserved. We are all "chunking"... compartmentalizing ideas into a very few patterns which I believe appear to be related to what may be described as a behavior influenced by a biology influenced by environmental conditions involving one's physical, emotional and intellectual diets. As the environmental conditions continue to deteriorate, so will the "food stuffs" of our diets. Deteriorations create conditions which force conservations. These conservations create systems of rationalization that we come to define as truth, logic and overall reality. One of these presumed truths is called mathematics. Its design and application is being altered to coincide with survival requirements in an environment whose stability is one of deterioration. The usage of static linear equations have become so transfixed, we are unable to use them effectively to monitor the deteriorations of our three diets... though some readers may want to include the ideas of spirituality, metaphysics, the unnamed/unknown and other dietary considerations as well. We need to develop dynamic equations which takes into account the longitudinal deteriorations of mathematics as a variable of intellectual consideration being practiced in the present environmental conditions. It is a calculus for which we have no present equations for.
Different subjects have their own models for expressions recurring cognitive patterns which appear to basic configurations for all of humanity. Whereas the order in which a given pattern may occur differently such as saying yes or no first or last to a child in order to get them to repeat whichever word is said last, ideas expressed by humans are also context related in terms of order which can give the impression of a difference to some observers who employ their ego in an attempted generation of superiority and inferiority to, the basic pattern remains.
In establishing the presence of certain patterns such as twos or threes as suggested standards of human cognition, and that the overall usage of pattern types is rather small (particularly conserved), we note that historical age appears to play a role. For example, older religions and philosophies are inclined to use number patterns such as two and seven... with seven linked to star gazing activities such as citing the seven stars of the Big Dipper from which the origin of the Swastika arose due to positioning of the Big Dipper during the two solstices and two equinoxes; the usage of a three orientation appears to have developed later such as in the case of a triplet code coming after biological activity passed through or achieved some measure beyond a two-practice of activity. The same can be seen in early religions opposed to "later born" religions which focused more heavily (not necessarily exclusively) on patterns-pf-three. For example, the development of the Cosmos, so to speak, presents us with more binary than trinary groupings, unless this is evidence of the types of human cognition whose interest is in the stars. In other words, binary systems may not be dominant, but reflect the mindset of those who come to research star behavior. In terms of religions, we see a usage of a dominant or multiple "threes" in later religious orientations such as the Trinity of Christianity and Trimurti of Hinduism, as well as the usage of a three structure in the later arriving LDS church. Earlier religious orientations are most often focused on binary perspectives, though other enumerations can be seen as well.
Early concepts found in biology such as the presently used Binomial system of classification is a hold-over from ancient times, though the controversial three domain system of classification attests to the present of an inclined three perspective. Likewise, the usage of a binary computer language presently has great utility over-which a three-patterned boolean logic is applied and there are those searching for a trinary (ternary) computer language model based on a contrast between a two-pattern (unbalanced) and three-pattern (balanced) configuration. Others view the idea of a ternary (trinary) computer involving subatomic (or quantum) activities which necessarily involve atomic states of activity presently conjectured with different ideas such as string theory, quantum relativity involving overlapping (dimensional) criteria where mixtures of three values are played with like a shells game or the rock-paper-scissors ensemble. The problem is that such models of intellectual manipulation do not routinely configure their equations to take into account... mathematics is a variable that needs to be included as a participant of one's though processing and not simply used to guide and dictate the discipline of one's considerations followed through with experimentation which mirrors a form of mathematics that does not adequately see its own reflection. Instead, far too many view mathematics as THE light source instead of a surface upon which three boundary behaviors can occur: Reflection, Refraction and Diffraction, as well as 3 basic principles of light (by Gannon Burgett): intensity/quantity of light, direction of light, and quality of light.
Whereas some can view mathematics as an art, they may not necessarily think of it as a metaphor of thought because of its many centuries of practiced utility and recreational activities. It is very often viewed as a universal truth instead of as a behavior of a given species or generalities as seen in the supposed counting of other-than human animals. Mathematics is not generally viewed as a behavioral extension of environmental pressures... much less as an evolved appendage due to conditions under which humanity has arisen. Indeed, if someone were to even claim mathematics as a vestigial organ that society is obsessed with, or that it is a phantom limb phenomena of consciousness, such ideas might well be viewed as science fiction oddities or even digressions into realms of thought similar to the old spiritualists. Yet again, there may be one reader who takes such ideas into consideration and will begin to see mathematics as an echo of a greater possibility... if humanity would only permit it to develop... outside the conditions of the present solar system whose incremental deteriorations are forcing an intellectual compliance which demands a type of rationalization which current mathematical processes exhibit.
Different subjects can represent the presence of standard cognitive models which are then assumed to represent a truth, but it is not the ideas which should be focused on, but the underlying pattern with which different ideas are being expressed. For example, whether we discuss three categories of learning styles: visual- auditory- tactile (Unlearning the learning styles) By Don Lincoln, Ph.D., August 27, 2020, or The Big Five Personality Traits By Kendra Cherry (Reviewed by David Susman, PhD), on February 20, 2021; one list after another list from one subject to another, are all expressions of a recurring "mathematically-linked" behavior of environmentally enforced (compliant) conservatism... in that theory after theory... illustration after illustration... demonstration after demonstration... etc., use low quantities in their explanations. Regardless of why, regardless of person and context, we do not see expressions exhibiting large quantities. It is like a Natural Law whose presence has been so ill-defined, it has taken on the portraiture of being a practiced orientation like reading tea leaves, entrails, jostled bones, or some other venture into mixing superstition with a few facts.
Just because someone's idea uses a standard cognitive pattern does not make their idea exhibit greater relevancy, or that they have any value at all as they might be thought to harbor. Like a cell containing DNA, many ideas carry standard patterns but are not themselves of Universal importance. They are simply another cell amongst billions which live then die and come to be replaced in order to help perpetuate the underlying pattern(s).
The following is a list of some old models of attempted prognostication (10 Historical Divination Methods for Predicting the Future By Bess Lovejoy, June 12th, 2019. It should be realized that present day methods of attempted prediction of a given outcome involving medicine, police work, chemistry, physics, mathematics, gambling, sports, cooking, baking, exercise, dieting, schooling, music, child rearing, teaching, etc., are all different forms of experimentation... though some forms provide a greater certainty of outcome than do others.
- Hieromancy (Divination Using Entrails)
- Ornithomancy (Divination Using Birds)
- Pyro-osteomancy (Bone Oracles)
- Bibliomancy (Divination Using Books)
- Alectryomancy (Divination Using Chickens)
- Tyromancy (Divination Using Cheese)
- Ceromancy (Divination Using Melted Wax)
- Cledonomancy (Divination by words overheard)
- Ring Oracles and "Under-the-Bowl songs"
- Herring fat and membranes
For a longer list: Wikipedia: Methods of Divination
All present day "modern"... "sophisticated" subjects must be considered as tools of divination, and thus subject to arbitrary application and interpretation, despite assumed regularities having been adopted and observed by millions of people.
For another example of the conserved sampling methods being used as a standard cognitive activity, we find many experiments conducted by a small number of researchers, or they use small quantities of subjects, or short periods of time with small quantities of criteria (hypothesis, results, trials, etc...). And even when a study uses what the authors may describe as MANY subjects (meant to be interpreted as a sufficient quantity to establish a validation in accord with their efforts), this usage is a few and far between exercise. Most researchers use small numbers of subjects, short time scales, dedicated measurements, specific sought-after details, particularized findings, etc... So too does this occur in mathematics, but mathematics is not typically considered to be a variable of the overall experimental process. It is most often taken for granted an inviolable tool whose standard can not be questioned. Even using a computer to compile what may be described as "Big Data" to give researchers the impression that they are being more open, more objective and thus enabled to make more comprehensive assessments and decisions... the data is then scrutinized into smaller "chunks" to be better utilized for narrow, specific, (small) purposes.
In the following example of Big Data criteria taken from the foregoing link, we see the usage of three (in red) being paired with two (in blue):
Volume: Organizations collect data from a variety of sources, including business transactions, smart (IoT) devices, industrial equipment, videos, social media and more. In the past, storing it would have been a problem – but cheaper storage on platforms like data lakes and Hadoop have eased the burden.
Velocity: With the growth in the Internet of Things, data streams in to businesses at an unprecedented speed and must be handled in a timely manner. RFID tags, sensors and smart meters are driving the need to deal with these torrents of data in near-real time.
Variety: Data comes in all types of formats – from structured, numeric data in traditional databases to unstructured text documents, emails, videos, audios, stock ticker data and financial transactions.
At SAS, we consider two additional dimensions when it comes to big data:
Variability:
In addition to the increasing velocities and varieties of data, data flows are unpredictable – changing often and varying greatly. It's challenging, but businesses need to know when something is trending in social media, and how to manage daily, seasonal and event-triggered peak data loads.
Veracity:
Veracity refers to the quality of data. Because data comes from so many different sources, it's difficult to link, match, cleanse and transform data across systems. Businesses need to connect and correlate relationships, hierarchies and multiple data linkages. Otherwise, their data can quickly spiral out of control.
In other words, the common label to be assigned to lists is that they are short, or the information is shortened such as diverted into smaller categories... just like the groups of axioms we see in mathematics. While in some instances we are packing more and more information into smaller criteria, like some compartmentalizations seen in prokaryotic DNA replication and tightly packaged genetic material in the linear chromosomes of a prokaryotic genome as well as the compression of DNA in the genome of bacteriophages. Mathematics can be viewed as another dimension of biological activity.
In the following selection (reprinted from the previous page), let me once again recount the types of intelligences described by Howard Gardner's theory: (Multiple Intelligences) put a mathematically-centered twist to them, though one could just as well use any subject and do the same to indicate generalized-specificities within a specifically-generalized genre. (Though such an ending expression may be interpreted as being humourous by some readers, I am actually pointiong out an inherent dichotomy which can be exercised and that many do without being fully conscious thereof).
Dichotomization is being used in Mathematics as a corner-stone which is acting like an anchor, creating a situation I am referring to as being static. Whereas the usage of equations in a given way may make some feel safe and secure due to predictability, mathemaical exercises can make people into draught animals with blinders on. Yes, mathematics has utility just as do domesticated animals, yet this only provides for the development of agricultural and animal husbandy types of mathematical usage... metaphorically speaking. Mathematics has come to replace rural and pagan orientations as the one governming religion of thought exercisces, though underlying patterns remain. The thinking patterns once used by domesticated citizens living under similar social circumstances such as in Medieval times, has been adopted and transformed by mathematics... like Religions having taken over old superstitions and beliefs once held by different groups worshipping in their individuals ways. Whereas labeling and customary usages have been transformed to reflect the language and desires of leading social figures in a given belief system, the underlying thought processes still exhibit the same basic patterns influenced by raw environmental conditions. In this sense, mathematics has become another type of camouflage just as religion, science, music, art, philosophy and politics are. It is easy to forget that the Sun... by way of its night/day influence, has also influenced other dichotomous ideas. A change in the pattern of the Sun will and does affect thinking. Hence, we need to monitor the incremental deteriorations of planetary phenomena and realize we need to remove ourselves from such influences from which we have developed far too many rationalizations as an attermpted survival mechanism.
The routinization of current equations provides stability whereby everyone can be "on the same page" so-to-speak, with respect to thinking and resolving recurrences of thought in the same manner and imaged in the phrase "do the math"... meaning that standards of math will always repeat the same result like some production line automation. Such a routine of exercised thinking is static... not dynamic. It is a cult-like ritualism that is easy to administer as a truth and practiced like a ritual observance. However, there is way too much dynamism taking place in our lives for us not to have a branch of mathematics which not only deals with dynamic properties, but is itself a dynamic property... hence, a varible to be considered in our overall equations. Whereas current linear equations are used to define dynamic processes, they are misinterpreted to be a part of the process instead of being a static recording of events portrayed in a dynamic fashion like multiple static images placed together in rapid succession to give the impression of animation. Present mathematics equations are analogous to pre-film animation devices called a Zoetrope
.
The Praxinoscope Pre-Cinema Optical Animation Toy
Present day mathematics engages in what can be viewed as a sleight-of-hand illusion to give the impression of movement by moving numbers and symbols around in an equation. It is being practiced like a 3-shells game or the similar Three Card Monte. It is of interest to also note that the early Numbers game racket used three numbers. The game was viewed as a racket by authorities because the winners did not pay taxes, whereby the government did not get a cut of the gains. Today's lotteries are an updated version whereby the government is assured of getting a cut. In other words, the lottery is called a tax on the poor, because it is they who are most likely to be drawn to the prospect of removing themselves from the institutionally approved form of democratically-driven capitalistic brand of impoverization.
The numbers game, also known as the numbers racket, the Italian lottery, or the daily number, is a form of illegal gambling or illegal lottery played mostly in poor and working class neighborhoods in the United States, wherein a bettor attempts to pick three digits to match those that will be randomly drawn the following day. For many years the "number" has been the last three digits of "the handle", the amount race track bettors placed on race day at a major racetrack, published in racing journals and major newspapers in New York.
If we include the "Three 7's" noted as a traditional image used by slot machines to indicate a jackpot, we have another instance where numbers take on a significance and relevance that is not recognized as a recurring cognitive theme with larger explanations and interpretations other than supersition, numerology and religion.
777 is used on most slot machines in the United States to identify a jackpot. As it is considered a lucky number, banknotes with a serial number containing 777 tend to be valued by collectors and numismatists. The US Mint and the Bureau of Engraving and Printing sells uncirculated 777 $1 bills for this reason>
All the foregoing examples of animation can be viewed in terms of a Flip Book format. When I look at an equation it takes on the representation of several still images that can thus be placed together to represent the illusion of motion. Our minds flip through the series of steps to create a believed-in dynamism instead of constructing equations that are viewed as variables in an actual dynamic process. Trying to describe this to most readers is like trying to explain a mirror's reflection to a primitive person, much less that a photograph (picture) is not a capture of their soul, or that a person seen on a large theater screen is not a larger-than-life giant. Nonetheless, this is the present state of thinking that I view many mathematicians to be in. As long as you agree with and live in their world-view, you are as right as they believe themselves to be, and the overall function of the society in which they live works for them... only to eventually be replaced by a less illusory view of reality sometime in the future.
However, mathematics has taken on a following much like religious adherents that prevent them from either recognizing or objectively discern the fallacies inherent in their occupation. They have created an institution of rationalizations to help them overlook their practiced illusions which are very often seen as self-delusions that are difficult to argue against... like someone claiming existence is due to a god, and thus used as a type of non-number equation which looks like an irrefutable logic such as: "1 and 1 = 1". (If one is one than it is a certainty of being one and not two or three, unless all numbers originate from the one.) Religion is based on a simplistic formula of rationalization just as present mathematics uses dichotomization in the same way as do those having an interest in the old yin/yang formulas as a definitive expression of reality.
We must infiltrate current mathematics with a provision which allows for and demands the insertion of a dynamic form of calculation as a variable... because current mathematics only provides (even "pure" mathematicians) with recurring static properties. Mathematics must see itself as a dynamic personality and not simply as a (dichotomous) mirror-image reflected in a type of academic selfie which assumes itself to be THE regal entity all should exhibit obeisance to. Mathematics has biological properties just as it does anthropological, archeological, musical, architectural, etc... Unfortunately, mathematicians and others are taught to place mathematics ahead of the line instead of also ahead of itself with an enlightened objectivity.
Mathematics, with its recurring patterns, is a variable that needs to be taken into account when working with mathematics as a tool that has been fashioned by the circumstances of incremental environmental deteriorations.
It is of need to point out what I am trying to initiate as a description if the foregoing page did not do this. Let me insert the referencing I want to convey. Do not flip the meaning around to assert the presence of mathematics as the defining characteristic. Instead, look upon mathematics as a person who has various identifiable qualities which can be enumerated in order to identify the same patterns occurring in other subjects.
- The Linguistic intelligence of mathematics.
- The Logical intelligence of mathematics.
- The Spatial intelligence of mathematics.
- The Bodily-Kinesthetic intelligence of mathematics.
- The Musical intelligence of mathematics.
- The Interpersonal intelligence of mathematics.
- The Intrapersonal intelligence of mathematics.
- The Naturalist intelligence of mathematics.
- The Linguistic intelligence of mathematics.
- The Logical intelligence of mathematics.
- The Spatial intelligence of mathematics.
- The Bodily-Kinesthetic intelligence of mathematics.
- The Musical intelligence of mathematics.
- The Interpersonal intelligence (of mathematics.
- The Intrapersonal intelligence of mathematics.
- The Naturalist intelligence of mathematics.
Characteristically, we can apply the opposite view to each of these examples such that we include "illogical" to the reference of "logical", and so forth. If we move beyond this exercise of dichotomization, we can find ourselves in a realm of syllogistic exercises whereby the logical/illogical dichotomy becomes that to which one might include a post- or past-logical state of being, or even some composite entity one might refer to as bipolarism, hermaphroditism, schizoid, cross-roads bifurcation or some other supposed middle-ground "warm" instead of cold or hot... metaphorically speaking. Similarly, while we recognize a pre-history to mathematics, we do not customarily think in terms of a post-history, unless one indulges in some sort of negative association instead of considering that present mathematics in the middle ground of development and that beyond this... a state of post-mathematics... is a realm of thought that most of us have not even begun to consider the existence of. Those who would venture to claim that mathematics can not be exceeded, are those in a static frame of mind and may well have difficulty in grasping what I am referring to in several different ways of explanation.
In the foregoing list, some readers will not have any difficulty at all with recognizing the internalities of mathematical correspondences which occur along the separate types of labeled mathematical exercises. In other words, each of the foregoing examples can be related to different exercises about mathematics and not simply using mathematics as the tool by which interpretations and illustrations are made about a given subject. For example, Linguistics (or Language) has its own mathematics... such as underlying number-related inferences, even if numbers are not the commonality of orientation for linguists to use. Let us take an example from Linguistics called Linguistics Typology, with respect to Word Order. Please note that the first orientation used a pattern-of-three approach while the second one uses a pattern-of-two approach:
Typological systems (Pattern-of-three approach)
Subject–verb–object positioning
One set of types reflects the basic order of subject, verb, and direct object in sentences:
- Object–subject–verb (OSV)
- Object–verb–subject (OVS)
- Subject–verb–object (SVO)
- Subject–object–verb (SOV)
- Verb–subject–object (VSO)
- Verb–object–subject (VOS)
These labels usually appear abbreviated as "SVO" and so forth, and may be called "typologies" of the languages to which they apply. The most commonly attested word orders are SOV and SVO while the least common orders are those that are object initial with OVS being the least common with only four attested instances.
Typological systems (Pattern-of-two approach)
A second major way of syntactic categorization is by excluding the subject from consideration. It is a well-documented typological feature that languages with a dominant OV order (object before verb), Japanese for example, tend to have post-positions. In contrast, VO languages (verb before object) like English tend to have prepositions as their main adpositional type. Several OV/VO correlations have been uncovered.
Whereas Linguists use mathematics to detect patterns, the patterns they are not detecting depends on looking at mathematics by using a linguistics tool. There is no reference that Linguists have acknowledged the presence of standard cognitive models being used by linguists and that these same patterns are to be found in multiple other subjects; thereby begging the question why this is occurring and if there is change over time, what this means for the presence of a biological entity on a planet with deteriorations taking place. It is a dynamic calculus taking place.
The three basic typological classifications for languages of the world are:
- Genealogical: (historical and linguistic criteria )
- Typological ( formal criteria, according to their similarities in grammatical structure)
- Areal: (geographic criteria)
I have simply inserted the word "mathematics" to the separate topics in order for the reader to automatically bring to mind the different types of mathematics which a person may be confronted with, but not necessarily use or think about mathematics in the conventional sense. Math formulas or mathematics signs and symbols as well as numbers may not race through your mind when a given topic is presented. If I let my mind wander in the many fields of magnetics which frequently show themselves to be interconnected like neighborhoods, suburbs, cities, states, counties, countries, departments, rooms,compartments, etc., the inside of my brain reminds me of a cartoon character shown (with an overhead bubble) to exhibit a chalk board upon which different people have been etching out one or another maths consideration. Whereas I made a short attempt to find an image conveying this idea, I only came across those where the mathematics was being displayed in an ordered sense, like someone construction sentences. When I have the imagery of different math symbols floating about the chalkboard in my mind, they are jumbled up and are moving... floating in and out of the scene. Let me show some simple examples of chalkboards where the information is contoured to look straight and true. Again, the images I have are nothing like these "textbook" illustrations. Mine are much more fluidic. There are no equations, per sey, only bits and pieces of this, that and another. I have to wrestle with the images to derive some sort of meaning out of them... if at all.
The first image is of several taken from a google image search using the terms "mathematics on a blackboard" since "mathematics in a bubble" (along with other variations) would customarily reveal math being used to describe bubbles instead of the other way around. The blackboards appear to be contrived props with everything displayed in a (somewhat) orderly fashion like some computer code written in a left to right sentence order. The second image is from the movie Little Man Tate. I actually didn't like the film and use the image because it is the first one which came to mind while writing this example.
Out of context they make no sense and appear like a jumbled array of doodlings, but holistically describe simple and basic patterns. A similar scenario would be to describe a musician whose brain is meandering in a field of flowers represented by different notes and other music-related symbols if not some tune the "appeared" out of nowhere. Whereas instead of seeing such arrays one may instead have other portraits of a different interest (such as seeing chemical symbols, sports strategies on a blackboard, construction symbols, architectural measurements, etc...); with the point to be made is that one's preoccupations at the moment are directed to explore a given topic's genre of incidentals (such as ideas relevant to a given subject's terrain of investigation, be it archeology, anthropology, or whatever).
Date of Origination: 26 February 2021... 6:59 AM
Initial Posting: 10th July 2021... 3:25 AM