The manager as a teacher: selected aspects of stimulation of scientific thinking
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e. It means that the given system may enter the other, larger system, in the capacity of its subsystem. Then the larger system will be equalized to zero level, whereas the given system will be its subsystem and sited at a minus one level. The hierarchy scale of systems is built on the basis of hierarchy of goals/purposes. Target-specific actions of systems are performed by its executive elements, but to manage their target-oriented interaction the interaction of control block of the system with control blocks of its subsystems is needed. Therefore, the hierarchy scale of systems is, as a matter of fact, a hierarchic scale of control blocks of systems. This scale is designed based on a pyramid principle: one boss on top (the control block of the entire system), a number of its concrete subordinates below (control blocks of the systems subsystems), their concrete subordinates under each of them (control blocks of the lower level subsystems), etc. At each level of hierarchy there exist own control blocks regulating the functions of respective subsystems. Hierarchical relations between control blocks of various levels are built on the basis of subordination of lower ranking blocks to those of higher level. In other words, the high level control block gives the order to the control blocks of lower level. Only 4 levels of hierarchy, from 0 to 3rd, are presented. The count is relative, whereby the level of the given system is assumed to be zero. The counting out may be continued both in the direction of higher and lower (negative) figures/values. The notions of “order” and “level” are identical. The notions of “system” and “subsystem” are identical, too. For example, instead of expression “a subsystem of minus second-order” one may say “a system of minus second-level”. And although a zero level is assumed the level of the system itself, the latter may be a part of other higher order system in the capacity of its subsystem. Then the number of its level can already become negative (relative numeration of level). Elements of each hierarchic level of systems are the parts of system, its subsystems, the systems of lower order. Therefore, the notions “part”, “executive element”, “subsystem”, “system” and in some cases even “element” are identical and relative. The choice of term is dictated only by convenience of accentuating the place of the given element in the hierarchy of system. The notion of hierarchic scale (or pyramid principle) is a very powerful tool and it embodies principal advantage of systemic analysis. Systemic analysis is impossible without this concept. Both our entire surrounding world and any living organism consist of infinite number of various elements which are relating to each other in varying ways. It is impossible to analyze all enormous volume of information characterizing infinite number of various elements. The concept of hierarchy of systems sharply restricts the number of elements subjected to the analysis. In the absence of it we should take into account all levels of the world around us, starting from elementary particles and up to global systems, such as an organism, a biosphere, a planet and so on. For global evaluation of any system it is sufficient to analyze three levels only: the global level of the system itself (its place in the hierarchy of higher systems); the level of its executive elements (their place in the hierarchy of the system itself); the level of its control elements (elements of control block of the system itself). To evaluate the systems function it is necessary to determine the conformity of the result of action of the given system with its purpose due result of action (global level of function of the system), the number of its subsystems and the conformity of their results of action with their purposes due results of their action (local functional levels of executive elements) and evaluate the function of elements of control. In the long run the maximum level of function of system is determined by the logic sum of results of actions of all subsystems comprising its structure and optimality of control block performance. Abiding by the following chain of reasoning: “the presence of the goal/purpose for implementation of any specific condition, the presence of qualitative or quantitative novelty of the result of action, the presence of a control (block) loop” it is possible to single out elements of any concrete system, show its hierarchy and divide cross systems in which the same elements perform various functions. Systems work under the logical law which main principle is the fulfillment of condition “... if..., then….”. In this condition “if ..” is the argument (purpose), while “then...” is the function (the result of action). This condition stipulates determinism in nature and hierarchy scale. Any law, natural or social, requires implementation of some condition and the basis of any condition is this logical connective “... if..., then…” At that, this logical connective concerns only two contiguous subsystems on a hierarchic scale. The argument “... if” is always specified by the system which is on a higher step, whereas the function “then…” is always performed by the system (subsystem) sited immediately underneath, at a lower step of a hierarchic scale. Actions of elements per se and interaction between the elements may be based on the laws of physics or chemistry (laws of electrodynamics, thermodynamics, mathematics, social or quantum laws, etc.). But the operation of control block is based only on the logical laws. And as far as control block determines the character of function of systems, it is arguable that systems work under the logic laws. Sometimes in human communities the “bosses” would imagine they may govern/control/ at any levels, but such type of management is the most inefficient one. The best type of management is when the director (the control block of multifunctional system) controls/manages/ only the chiefs of departments (control blocks of monofunctional systems), sets forth feasible tasks before them and demands the implementation thereof. At that, the number of its “assistant chiefs” should not exceed 72 (Mullers number). If some department does not implement its objectives, it means that either the departmental management (control block of a subsystem) is no good because has (a) failed to thoroughly devise and distribute the tasks between the subordinates (the SFU), or (b) has inadequately selected average executives (SFU), or (c) impracticable goal has been set forth before the department (before system), or (d) the director himself (control block of the system) is no class for the management. In such cases the systems reorganization is necessary. But if the system is well elaborated and performs normally there is no sense for the director to “pry” into the departments routine affairs. A chief of department is available for this purpose. The decision of the system reorganization is only taken when the system for some reason cannot fulfill the objective (system crisis). In the absence of crisis there is no sense in reorganization. For the purpose of reorganization the system changes the structure of its executive and control elements both at the expense of actuation (de-actuation) of additional subsystems and alteration of exit-entry combinations of these elements. In such cases skipping of some steps of hierarchy may occur and the principle “vassal of my vassal is not my vassal” violated. This is where the essential point of the system reorganization lies. At the same time, part of elements can be thrown out from the system as superfluous (thats how at one time we lost, for example, cauda and branchiae), while other part may be included in the systems structure or shifted on the hierarchy scale. But all that may only happen in process of the system reorganization proper. When the process of reorganization comes to an end and the reorganized system is able of performing the goal set forth before it (i.e. starts to function normally), the control law of “vassal of my vassal is not my vassal” is restored.
Consequences ensuing from axioms.
Independence of purpose. The purpose/goal does not depend on the object (system) as it is determined not by the given object or its needs, but by the need of other object in something (is dictated by the external medium or other system). But the notion of “system” in relation to the given object depends on the purpose, i.e. on the adequacy of possibilities of the given object to execute the goal set. The goal is set from the outside and the object is tailored to comply with it, but not other way round. Only in this case the object presents a system. Note should be taken again of the singularity of the first consequence: the systems purpose/goal is determined by a need for something for some other object (external medium or other system). Common sense suggests that supposedly survivability is the need of the given organism (the given system). But it follows from the first consequence that the need to survive proceeds not from the given organism, but is set to it by another system external with respect to it, for example, the nature, and the organism tries to fulfill this objective.
Specialization of the systems functions. In response to certain (specific) external influence the system always produces certain (specific) result of action. Specialization means purposefulness. Any system is specialized (purposeful) and follows from the axiom. There are no systems in abstracto, there are systems that are concrete. Therefore, any system has its specific purpose/goal. Executive elements (executive SFU) of some systems may be homotypic (identical, non-differentiated from each other). If executive elements differ from each other (are multitype),