This theory attempts to solve the issue of inconsistency of quantification of the Cuil value of a given instance.
The real difficulty in trying to define how Cuils increase, whether linearly, exponentially, or logarithmically is due to the basis that one must analyze not only how Cuils affect reality but also what they are affecting/changing. It is believed that there is a difference between 𝛥x‽ and 𝛥 of the Cuilian Effect (changes made by x‽ that removes a given situation from reality) on reality. At the end of this theory, the postulation will be that Cuils are linear in their numerical growth, but exponential in their Cuilian Effect.
It has already been clearly defined that Cuils change aspects of reality, as we perceive it to be, hopefully that perception is relatively close to the actual state of reality, i.e. 0‽.
It has also been agreed upon that the higher x‽ the further removed from reality the observed circumstance is. However, most examples given have simply added more and more details, that subsequently, have been altered in order to reach higher degrees of Cuilian derivation from 0‽. Which is all well-and-good if you don't mind counting an astronomical number of Cuils in order to quantify 𝛥‽. Thus, if 𝛥‽ is linear, x‽ is a direct result of the number of objects in a scenario, i.e. how "big" is the picture; does it include just you, me, and a hamburger? Or does it also involve music, you, me, creation, a song, a hamburger, and the universe (reddyenumber4's last example on Reddit). This results in the necessity for ∞‽ possibilities, since there is no, known, perceivable end to the universe. But this is not rational for a useable system used in the measuring of deviation from reality. Especially, because in this 1-detail-change = 1‽ system, any new changed detail increases the number. There seems to be no way to avoid ∞‽, which instead becomes necessary because the subject could be handed a picture of themselves being handed a picture of themselves in room full of pictures of them being handed pictures, in all of which there is an entire reality, or at least a picture of a reality, that allows for an infinite number of infinite diversions. Which would mean Cuils are completely useless as a quantifying system since they increase too rapidly to be measured.
Thus, this theory proposes that we must first define our reality (which must be subjective) in order to even begin to understand how it is being altered and to what extent. In order to do this we have to analyze our existence, not even necessarily as humanity as a species, but as constituents that are cognitive of the whole, and decide where the lowest levels of reality exist. Or at least, our idea of the lowest level. This theory then proposes that 1‽ affects the most superficial strata of reality, 2‽ the second, etcetera. This may seem oversimplified, however, if we consider the levels of reality to progress from the Epistemological (notated as E) level (at 0‽ this is the strata wherein Platonism and logic take affect, is subjective to the frame-of-reference of the viewer, and has the least affect on reality [because it is merely our perceptions/reactions to stimuli]), to the Non-epistemological (notated as NE) level (which is defined as a level consisting of concepts that are purely Euclidean or Newtonian, i.e., they rely solely on the rules of geometry and physics and require no observer to interpret them. E.g. the behavior of atoms and the bonds they form. Concepts such as, "materials' properties change based on the way atoms bond." This is a concept that is foundational for everything that is made of matter, living or nonliving. Thus, it is quintessential for the operation of everything that follows, or that is more complex than a single atom), wherein changes will be incredibly far-reaching and define everything thereafter. Finally, the Causal (notated as C) level (the changes in this strata are nigh incomprehensible as the results will be paracausal. That is, they will have no regard for time or causality, which are arguably the two most archetypal laws of our universe). For example, a Cuilian change in the NE strata could change life to mean plasmoidal, omniscient entities. Why? Because physics or geometry has changed, which could change the necessary qualifications for sentience, which could change the process of thinking or knowing [which is pretty far-reaching]. Meaning that the deeper you go, down towards the base that our reality is built upon, the more all-encompassing the Cuilian Effect. I.e., if you have a Cuilian change in the NE level it is possible to change something at the quantum level, which is an all-encompassing, causal alteration, however, changes in the C level means results that are not bound by any limitations, as opposed to any reality-altering changes in the other levels that are still bound by their own rules. Paracausal changes are not bound by rules, even their own.
It would make sense then that the strata level change wherein the change(s) occurs is x‽. In order to account for changes in different strata without running into 𝛥x‽=∞‽ this theory argues that the number of the two strata be added together. Therefore, E changes take place at 1‽, NE changes occur at 2‽, C at 3‽. Thus changes in the first two levels would be a 3‽ scenario (NE + E = 3‽). It is then postulated that the highest Cuilian value that may be applied to a situation is 6‽ (unless more strata are discovered).
Examples with the above Cuilian Laws:
0‽: I ask for a hamburger and you give me a hamburger
1‽: I ask for a hamburger and you give me a raccoon (the platonic[E change] idea of what a hamburger is has changed)
1‽: I ask for a hamburger and you give me a picture of a hamburger (E change)
2‽: I ask for a hamburger and a raccoon gives me a hamburger (something has changed in the genetics of raccoons[NE change] that allows them to develop to the point of being intelligent, sentient beings.)
3‽: A raccoon asks for a hamburger and I give him a picture of a chair (genetic change in raccoon [NE change], idealistic change of what a hamburger is [E change])
6‽: I manifest an infinite number of planets and an omniscient star-being called a raccoon asks for a kjnasdvoib (C-change allows for paracausal result of infinite number of objects and for the manifesting taking place before the request [lack of time], NE change allows me the ability to manifest objects at will, as well as the existence/ability of a being to be omniscient (the raccoon), E-change causes the idea/word "raccoon" to be an omniscient star as well as allowing for a "kjnasdvoib" to be the name of an object)
This system then allows us to quantify x‽ as well as 𝛥‽ regardless of how absurd the situation without having to count to any number up to ∞. This still allows for an almost infinite number of variations (Cuilian Effects) of the situation and subsequently a near infinite number of digressions from reality (including recursions) even in an 1‽ situation. For example, if there is a scenario where a change at the NE level causes all physics to be different, that could change everything about the scenario. I could be a dog asking a tree for a chair and be given a rock. But it would have the same meaning to the participants of the scenario because there would still be a Theory of Forms in this reality, a form of Platonics. Hence, my asking another being for something that I need or want. This is definitely a crazy scenario, but it's only a 2‽. Why? Because there is still time, philosophical constructs such as desiring, asking, and giving. So, as strange and dreamlike as it is, it's not too far removed from the concepts of our reality.
If this is true, and the levels of reality are stratified, then x‽ can increase linearly, with an exponential Cuilian Effect. This not only makes quantifying x‽ possible, but it also allows for, and solves the issue of quantifying any situation regardless of the frame-of-reference of the viewer.
Obviously this system does not allow for -x‽ in a quantifiable sense, because it seems that since the base definition for a Cuil is the degree that an instance is removed from reality, only impossible situations can be measured by Cuils. Intellectually, -‽ would arguably exist but there seems to be no way to measure something that is possible of occurring using a notation used to measure the impossibility of a situation. If true reality is 0‽, which I would agree is impossible to achieve unless everyone has the same exact perception (a change that could be caused by an E-change in a 1‽ situation, thereby creating the 1‽ = 0‽ paradox), then it is impossible for anything to be hyperreal. Nothing can be "more real than reality" if true reality is unachievable.
By these rules though, a -x‽ situation is possible in a 1‽ situation wherein the definition of "real" has been changed such that the definition of "hyperreal" is not only different from what it is in a near 0‽ reality but also possible. This is where we run into a recursive loop (for more info on recursive loops read Douglas Hofstadter's "Gödel, Escher, Bach," now we are in a 1‽+-1‽ = 0‽ (also, since this system allows for linear increments in x‽ we are able to add the Cuil values, just like when we determine x‽ of any situation). Which brings us back to the 0‽ Paradox because by definition we must be in an, at least, 1‽ scenario for 0‽ to exist.
In this system the Cuilien Effect of the deviation from reality does not have a linear relationship to the Cuilien Value of the situation. The rate of exponential growth of the Cuilien Effect of a deviation is relative to how many aspects of reality have been altered due to the original deviation.
I hope reddyenumber4 reads this and I hope you all will give your feedback. I would love to continue this discussion, especially if there are real (or perceived) flaws in my The Theory of Linear, Stratified Cuil Value.