INFERENCE OPERATIONS IN DECISION SITUATIONS Decisions exercises can generally be thought of being engined by one of three types of inference apparatus (which correspond to the three different categories of cognitive capabilities that constitute human intelligence): ASSOCIATIVE INDUCTIVE DEDUCTIVE One way of getting at the distinctions among these three inference modes is draw on a simple InputProcessing-Output type construct: Predicates Decision Choice Experience, Facts or Empiricals Inference Operations Conclusion Instrumental and/or Intellectual Mediation Of the several modes, associative inference involves the least in the way of intelligent mediation, meaning that conclusions are intimately tied to facts (or strongly anchored in empiricals or experience). Inductive inference (which, strictly speaking, involves moving from the more particular to the more general) is the medium that allows us to arrive at conclusions that go somewhere beyond experience, precedent or the bare facts of a matter…but not too far beyond them. Deductive inference, on the other hand, generates conclusions that are only very weakly tied to —i.e., transcend— empiricals, experience or precedent. Deductive inference capabilities may be taken as the highest expression of human intelligence enabling the development of "original solutions to novel problems"; it's the engine of creativity, in effect. I. ASSOCIATIVE INFERENCE Simple associative inference is the least demanding of the several modes in terms of the level of intelligence (or cognitive capability) that's required. At its most elementary, associative inference is a product of direct experience (I won't ever smoke any more of that stuff!) or classical conditioning (as per Pavlov's dogs). Associative inference based behaviors can also be a product of collective experience that's codified and passed down as "lore", indoctrination or rote learning. In any of its guises, associative inference is the generally preferred —sufficient and efficient—medium for dealing with routine, repetitive situations or well-precedented problems, as decision will be arrived at more or less automatically…with minimal reflection and/or expenditure of analytical effort. On the downside, associative inference is not an appropriate medium for coping with novelty, accommodating change or recognizing fine distinctions, etc. Thus, over-reliance on associative inference apparatus is a hallmark of both primitive (tradition-bound) societies and primitive intellects (those who are overly fond of generalization, as it were). In organizational contexts, functionaries whose analytical responsibilities can be met via associative inference capabilities can be comprehended as operating under what amounts to a decisiontable type logic: O Em Rm : {O} Observables EVENTS E1 E2 … Em R1 R2 ... Rm As an example, consider the paramedic: 1). He/she will have been taught to recognize some number of discrete medical events (broken arm, hypothermia, incipient heart attack, etc.) that might be encountered in the field. More specifically, he will have been taught to recognize the particular array of symptoms uniquely associated with each of these medical events. Therefore, when encountering an emergency situation, the first task is for the paramedic is to map from the symptoms (observable conditions) exhibited by the victim to a particular medical event: if {O} then Em. 2). The domain of a paramedic's competence is then bounded by the membership —in terms of breadth and diversity, etc.— of the event set [E]. Paramedic's may then be deemed more or less capable depending on the breadth and diversity of the set of medical events they have been formally trained to handle. But there is this practical qualification: Paramedics will (generally, at least) not be expected to operate under conditions of diagnostic ambiguity. Rather, associative mappings between symptoms (observables) and events (medical syndromes) must be essentially deterministic, such that P(O (Em [E]) 1, i.e., the probability (P) that a particular set of symptoms (O) points to a singular member of the event set (Em) is approximately equal to one, thereby authoring a situation of effective certainty. In all other instances, paramedics would be required to immediately pass the problem forward to a higher authority (e.g., make radio contact with an emergency room physician and follow whatever advises are forthcoming). Or, in the absence of a real-time communication link of this sort, there will probably be a generic default directive requiring paramedics to restrict intervention to the minimum necessary to keep the victim alive until delivered to a hospital). 3). Anyway, for any given medical event, there will be one and only one appropriate/authorized response option or course-of-treatment a paramedic is expected to enact. The content of a decision table thus consists of a set of directive (associative) rules: if Em then do Rm. There is, then, little or no occasion for any discretion on the part of the paramedic as to how medical conditions are to be handled. Other examples of those whose decision responsibilities are rooted in associative inference are minor bureaucrats operating "by the book" and military officers whose discretion on the battlefield is curtailed by "rules of engagement", etc. If one thinks of a decision table as constituting an information base, then we can also think of the substance of associative inference driven decisions as being given; that is, the content of conclusions is, in effect, predetermined by the content of the information base qua decision table. It's this that makes those charged with carrying out decision-table like activities in any organization the prime candidates for displacement by computers! II. INDUCTIVE INFERENCE Inductive inference invokes a higher level of cognitive capability than its associative counterpart (and is a product of a more complex "learning" process as well … Operant vs. classical conditioning). In essence, inductive inference apparatus enables generalizations, i.e.: Reasoning from the more particular to the more general. Inductive inference thus leads to conclusions that involve a substantive extension of experience, thereby allow us to move beyond what's already known (facts), what's already taken place (precedent) or what's previously been learned (education, formal or otherwise). A good bit of work has been done by analytical philosophers (mainly student and practitioners of the Empiricist school, notably Carnap and his immediate successors) in devising rules to bring formal logic discipline to inductive reasoning. More generally applicable to managerial decision-making, however, is a pragmatic variant, ampliative inductive inference. To discipline decisions authored under ampliative inductive inference, there is a wide variety of analytical instruments (statistical, most familiarly) derived from the computational vis logical form of inductive inference, mathematical probability theory. There are three variations on ampliative inductive inference: LONGITUDINAL [constructing a future as a function of the past], the most obvious managerial application of which is forecasting via a statistical-inference instrument (CorrelationRegression, Least Squares methods or econometric formulations of the BLUE variety …Best Linear Unbiased Estimator) operating on historical data arrayed as a Time Series. CROSS-SECTIONAL [arguing from the local to the universal], or the imputation of properties to a population as a whole on the basis of attributes or behaviors observed in some sample…as with market research exercises (usually cast as ANOVA-based experimental designs) that use preferences exhibited by a limited number of individuals in test groups to infer to the probable predilections of the broader community of consumers. ANALOGIC [e.g., attempting to make a current event at least partially comprehensible in terms of empirical precedents], or employing secondary evidence —observations made with respect to some other subject, or data originally collected in or pertinent to some other context— to impute properties to some new situation (e.g., defining prospects for a new product in terms of market results obtained for more or less similar products elsewhere). The rectitude/precision of longitudinal ampliative inductive inferences is sensitive to variance in the historical data records (the 'spread' of the Time series). The confidence with which cross-sectional inferences can be applied depends on the consistency of the sample results and the apparent 'representativeness' of the sample itself. The integrity of analogic inductive inferences is tied to the strength of contextual correlations between the precedent(s)/setting in which evidence was originally collected and the situation to which it now to be applied. Incidentally, weak contextual correlations can also compromise cross-sectional inferences (as with the "new" Coke debacle). In terms of technical implications, the difference between associative and inductive inference operations corresponds roughly to the difference working under a decision table vs. decision tree, in that the latter involves probabilistic (as opposed to deterministic) mappings, i.e.: Observables to Event(s): O (Em, Ej …) [E] and Pmax (Em [E]) 1 That is, there is no some degree of ambiguity to contend with, as observables will now point to two or more event possibilities, with even the maximum-likelihood mapping (O Pmax Em) carrying a probability significantly less than unity…or, alternatively, a significantly positive level of uncertainty. Event to Response(s): Em (Ri, Rj …) [R] and Umax (Rm [R]) 1 Instead of neat one-to-one mapping between event and responses, there's now two or more response options that might be used to treat any Em and/or residual doubts about the efficacy of the assumedly maximal-utility (Umax) choice. In another sense, if the exemplary of an associative-inference functionary was the paramedic, the inductive inference counterpart would be the physician. The latter (in large measure because his training in the 'principles' of medicine) is presumably prepared to deal with diagnostic ambiguity (to make diagnoses that have some conjectural aspect to them) and allowed —within the rather broad limits of acceptable professional practice— considerable discretion in determining how any particular medical condition is to be treated. III. DEDUCTIVE INFERENCE In one of its strict or formal interpretations, deductive inference defines the process of reasoning from the general to the particular (e.g., the application of broad theoretical provisions to some problem). A more pragmatic appreciation has deductive inference operations leading to conclusions that are strongly a prioristic or judgmental in content. Deductive inference driven decisions would thus owe relatively little to facts, experience or empirical referents of any kind, much to conjecture, imagination or opinion (learned or otherwise). Deductive inference driven behaviors span a continuum anchored on the one end by the rigorous, axiomatic-type reasoning underlying hypothesis-formulation in fields like archaeology, astrophysics and certain areas of mathematics (modern algebra, for example), and towards the other by raw rhetoric, idle speculation or unbridled intuition…and, maybe, madness. As a practical matter, deductive inference would be called on when inductive inference capabilities cannot cope: (a). In contexts where the future is likely to be significantly different in kind from the past, (b). Where factual and/or empirical decision predicates are extremely scarce (as in innovationdependent industries, with their premium on depriving competitors of any "hard" information about product-development intents), or (c). When the situation at hand is essentially novel, such that there are no applicable precedents. In terms of technical implications, deductive inference based decision situations pose a requirement for two types of facilities that the management/systems sciences are not as yet well-positioned to provide: concept-processing vs. data processing provisions. analytical instruments to ensure the rationality of judgment-driven decisions. The continuing absence of such facilities represents perhaps the most critical of the technical shortfalls that need to be addressed so far as managerial matters are concerned…in all sectors, not just the commercial! METAPHORS Associative Inference: A photograph that as faithfully as possible reproduces the original subject Inductive Inference: A somewhat idealized portrait that diminishes flaws or emphasizes assets; caricatures as per political cartoonists. Deductive Inference: Abstract art, where the finished product bears only scant resemblance to the original subject