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Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 7 (view source)
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====7.1.1. Reflections on the Presentation of Examples====
====7.1.1. Reflections on the Presentation of Examples====
In order to move this discussion forward in the direction of the goals I have for it, I am forced to reflect on its present character and its current state of development, in the light of the aims I have for it. In this light I hope to see to it that the main thrust of the current discussion is aimed toward a "presentation of exemplary models" (POEM), but a critical stance on its means of production entitles the view that it meanwhile remains only a "presentation of selected examples" (POSE). In this subsection, starting from the artificial contrast created between these two forms of construction, the ideal POEM and the typical POSE, I will discuss the differences to be expected between ideal and typical embodiments of abstract intentional concepts, for instance, the programs that implement specified procedures and simulate phenomenal processes.
Because a "willing suspension of disbelief" is not to be asked of readers in a non fiction genre of investigation and ratiocination, I detect an obligation falling on my part at this point to allay a brand of suspicion that may be arising on theirs. I am not insensitive to the circumstance that my constant insinuation of mnemonic acronyms throughout this text is liable to create a running subtext with an often punning sense, and makes it susceptible to riddling forms of interpretation, but this subtext is faithfully intended to support, not subvert, the main purpose of the plain text that covers it. Since the ultimate concern of both accounts is how well they combine to cover an objective topic of interest, it hardly matters which text covers which in the meantime. Ultimately, the only criterion of interest is their common service to single domain of inquiry. Incidentally, even the clang associations can be conducive to alertness, if now and then painfully so.
The best name I can find for a subtext of this kind, having all the characteristics of abbreviated recapitulation, acronymic aphorism, and gnomonic epitome, is to call it a "recipe", thereby putting it in a class with poems, proofs, programs, protocols, prescriptions, and other types of procedural repertories, paradigmatic rubrics, and prevailing refrains that get their most prominent repetends set down in the form of a text. Generally speaking, it is usually best to let the underlying points of the acronymic subtext pass by without extensive notice, and to let their abbreviations recapitulate what they will in passing without remarking or expanding on them any more fully than expressly needed. However, the issue at stake at the present juncture is important enough that I will try to take the pains required to render it more explicit, even if the desired clarity must be purchased at the risk of becoming tedious.
Poems, proofs, and programs of procedures, whether by provision of etymology or by virtue of tried and true principles revealed in their practice, all share a common form of "apheuristic definition", to wit:
<center>“Just the words that do”</center>
This means that the creation of each form of text is carried out in terms of primitive symbolic elements and requires for the height of its art the selection of exactly those that are fit to do the job intended for them.
Now it probably appears that the present discussion, to the degree I am responsible for conducting it, is designed to deliberately violate this maxim in every conceivable way. But its apparent sins against the rule can be mitigated if one considers its true intention, whether there is the space to avow it or whether it resorts to a tacit understanding. The aim for the present moment is not directly, not just yet, to write a program for inquiry, but only to examine the feasibility of doing so, and perhaps to prepare the grounds for its eventual possibility.
This indirect tactic and extenuating purpose of the current discussion explains why its prevailing drift seems to proceed in a direction that opposes all the senses of the poetic rule and the programmatic maxim. Working under typical conditions, even the tersest exegesis of a recipe, in order to develop and explain the hidden implications of its previously compressed formulations, needs room to unpack and elaborate its terms. Ordinarily, the text that is fit to serve as a recipe is not the same as the text that is fit to explain a recipe. In short, there is usually a wide line to be observed between the terms that are found suitable to supply a recipe and those that are called for to supplement a recipe.
Finally, a word to the wise: These formulations of the typical case have been expressed in carefully guarded clauses for a good reason. When it comes to ideal conditions, with suitably intelligent or well designed IF's, then one cannot exclude the possibility of ideal cases cropping up in the relationship between recipes and what they recapitulate. If enough information is prestored in the "cognitive yolk" of an intelligent IF, then there is a good chance of finding the occasional ''idee fixe'' (IF), that is, a fixed point under the contraction and expansion mappings that serve at first to create a recipe and then to re express it, respectively.
Though its referential ellipses and circles can obsess and even oppress, the form of contingency represented by an IF is not essentially vicious in and of itself. Given the right opportunities, an IF can work out its consequences for itself in beneficial ways. Though brevity is the soul of wit, abbreviation can make hash out of codes that only an intelligent or just plain lucky style of non deterministic interpretation can restore to their senses. Though words collide, they have no effect on the world outside until an interpreter acts, freely choosing whether to compound or to dispell the always inherent potential for confusion. Finally again, waking to the final truth that I can find in the matter, none of these possibilities need unduly disturb the composure of any interpreter who is accustomed to the idea that a medium can also be a message, or that the blank slate may indeed be the innate idea.
Since it is obvious that a "finitely informed creature" (FIC) will seldom achieve anything approaching perfect success on the first, or second, or third, or … any one of many successive tries, the deceptively innocuous nuance that separates an "exemplary model" from a "mere example" finds itself settling in a place that is very near the heart of the issue here. There it precipitates a cloud of doubt that can grow to overshadow all hope of grasping the necessary connection between a POEM and a POSE. Accordingly, it becomes incumbent on this inquiry to ask: What is it about the connotation of the word "exemplary" that speaks with so much more authority, conviction, and emphasis than the denotation of the randomly chosen "example" is capable of indicating?
In order to tell which is which, and which applies to the present case, I need to make it my object to examine the process of "exemplification", the initial phase that carries out and achieves the selection of a model. Indeed, careful attention to this phase is needed to tell if there exists, in the first place, any difference of import between a POEM and a POSE, as the thing will find itself deemed in a retrospective judgment, and whether there is anything that exists from the beginning that can go toward making the POEM turn out in a substantially distinctive style, one that is even the least bit more remarkable than just another POSE, somewhat peculiar and somewhat typical, among the many possible.
Reviving the form of annotation that I introduced in the initial analysis of inquiry, the constitution of the current discussion, d0 = disc0, as a "presentation of examples" (POE) can be analyzed as an application of an active instrumental component, a process of "presentation", p = pres, to a passive objective component, a process of "exemplification", e = exam. Thus, it can be written as: disc0 >= {exam}{pres}, or d0 >= {e}{p}.
Parceling out the various responsibilities of the current discussion from a logical point of view, the exemplification process appears to be a necessary preliminary to the presentation process. This order of logical precedence can be maintained in spite of how interwoven the two phases may be from dialectical and dynamic perspectives.
As I currently parse the matter, the exemplification process is logically a necessary preliminary to the presentation process. This order of precedence can be regarded as being true, from a logical point of view, whatever the order of procedure in actual point of fact.
This order of precedence can be regarded as being true, from a logical point of view, whether or not in point of actual fact the phase of finding a model must be finished completely before the submission of the chosen model to presentation can begin, or whether it is practically always necessary to interleave exemplification with the development of its own presentation.
As a text that is put forth in a conceit filled attempt to illuminate a conceptual subject matter, having aims that by deliberate design must always reach beyond the fading grasp of its "finite and discrete" (FAD) significance, the question remains for any POEM, no matter how humble its implicit focus or its explicit orbit, whether the relations among its intrinsic elements will conceivably approach proportions in the common regard that are "epic" in relation to the scope of its intended topic. Of course, this question becomes all the more poignant in relation to topics so exalted as intelligence and inquiry, where "elliptic" and "parabolic" figures of speech are just "hyperbolic" ways of eulogizing the necessary failures of approach.
Now that this form of discussion has gotten under way, it is possible to turn a portion of its acquired momentum toward the task of sharpening its initial portrayal, exploiting for this purpose the technical concepts that are exemplified clearly enough in the presentation up to this point. Drawing on the parallel concepts from the pragmatic theory of signs, it makes sense to classify the "presentation" and "example" components of this discussion in line with the "syntactic" and "objective" domains, respectively, of a sign relation. In this way, it becomes possible to acknowledge the following correspondences:
# The presentation component constitutes an active involvement in the realm of signs and ideas that, collectively and severally, are being invoked to carry the current discussion.
# The example component constitutes a passive representation of the open subject matter or the patent object of discussion, selecting for presentation a simple enough sample to begin addressing the intended domain of objects, but providing that these examples are understood as essaying nothing more than a preliminary sample, a sketchy lot, or a paradigm few that have been drawn out of the many objects conceivable within the full scope of the intended topic of discussion.
Before this presentation of examples can continue in a useful way I need to stop and think for a moment, to reflect on the broader purposes that concrete examples of sign relations are meant to fulfill as a part of the overall inquiry into inquiry. If examples are presented and perceived in a purely isolated fashion, then nothing of general utility can be learned from them. Even the most "finite and discrete" (FAD) example, properly conceived, is able to enjoy various forms of continuity with the extended collections of its ilk that fall under the same general concepts.
And yet FAD examples are liable to particular kinds of misunderstanding, precisely because their descriptions in terms of general concepts can be individualized to the point of becoming idiosyncratic. As remarkably well defined entities FAD examples have so many properties that not all of them are likely to be relevant to any given topic, focus, or current of discussion. The problem of identifying the appropriate dimensions of inclusion for a FAD example, placing it under the right general concepts and staking out the right dimensions of variation passing around and through its vicinity, is a task called "searching for parameters".
====7.1.2. Searching for Parameters====
====7.1.2. Searching for Parameters====