The manager as a teacher: selected aspects of stimulation of scientific thinking
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ample, may be complex. In this case the system is simple with complex control block. The multifunctional system is a system which contains more than one type of monofunctional systems. It possesses many kinds of result of action and may perform several various functions (many functions). Any complex system may be broken down into several simple systems which we have already discussed above. The difference of multifunctional system from the monofunctional one is that the latter consists of itself and includes homotypic SFU, while complex system consists of several monofunctional systems with different SFU types. And at that, these several simple systems are controlled by one common control block of any degree of complexity. The difference between monofunctional and multifunctional systems is in the quantity and quality of SFU. In order to avoid confusion of the complexity of systems with the complexity of their control block, it is easier to assume that there are monofunctional (simple) and multifunctional (complex) systems. In this case the concept of complexity of system would only apply to control block. In monofunctional system control block operates a set of own SFU regardless of the degree of its complexity. In multifunctional system control block of any degree of complexity operates several monofunctional subsystems, each of which has its SFU with their control blocks. It is complexity of control block that stipulates the complexity of the system, and not only the type of system, but the appurtenance of the given object to the category of systems. The presence of an appropriate control block conditions the presence of a system, whereas the absence of (any) control block conditions the absence of a system. Systems may have control blocks of a level not lower than simple. The full-fledged system can not have the simplest/elementary control block, whereas the SFU can.
So, the system is an object of certain degree of complexity which may tailor its functions to the load (to external influence). If its structure contains more than one SFU, the result of its action has the number of gradations equal to the number of its SFU or (identically) the number of quanta of action. The number of the systems functions is determined by the number of polytypic monofunctional systems comprising the given system. In former times development of life was progressing towards the enlargement of animal body which provided some kind of guarantee in biological competition (quantitative competition during the epoch of dinosaurs). But the benefits has proven doubtful, the advantages turned out to be less than disadvantages, that is why monsters have died out. This is horizontal development of systems. If they differ in quality it is tantamount to the emergence of new multifunctional systems. Such construction of new systems is the development of systems along the vertical axis. The example of it is complexification of living organisms in process of evolution, from elementary unicellular to metazoan and the human being. What can be done by man can not be done by a reptile. However, what can be done by reptile can not be done by an infusorian (insect, jellyfish, amoeba, etc.). Complexification of living organisms occurred only for one cardinal purpose: to survive in whatever conditions (competition of species). Since conditions of existence are multifarious, the living organism as a system should be multifunctional. The character of a new system is determined by the structure of executive elements and control block features. If there is a need to extend the amplitude or the capacity of systems performance the structure of executive elements should be uniform. To increase the amplitude of the systems performance all SFU are aligned in a sequential series, while to increase the capacity in a parallel series depending on the required quantity of the result of action (amplitude or capacity at the given concrete moment). Polytypic SFU have different purposes and consequently they have different functions. The differences of SFU stipulate their specialization, whereby each of them has special function inherent in it only. If the structure of any system comprises polytypic SFU, such system would be differentiated, having elements with different specialization. In systems with uniform SFU all elements have identical specialization. Therefore, there is no differentiation in such system. So, the concept of specialization characterizes a separate element, whereas the concept of differentiation characterizes the group of elements. The number of SFU in real systems is always finite and therefore the possibilities of real systems are finite and limited, too. Resources of any system depend on the number of SFU comprising its structure in the capacity of executive elements. The pistol may produce as many shots as is the number of cartridges available in it, and no more than that. The less the number of SFU is available in the system, the smaller the range of changes of external influence can lead to the exhaustion of its resources and the worse is its resistance to the external influence. By integrating various SFU in more and more complex systems it is possible to construct the systems with any preset properties (quality of the result of action) and capacities (amount of quanta of the result of action). At that, the elements of systems are the systems themselves, of a lower order though (subsystems) for these systems. And the given system itself may also be an element for the system of higher order. This is where the essence of hierarchy of systems lies.
Hierarchy of goals/purposes and systems. The more complex the system, the wider the variety of external influences to which it reacts. But the system should always produce only specific (unique, univocal) reaction to certain influence (or certain combination of external influences) or specific series of reactions (unique/univocal series of reactions). In other words, the system always reacts only to one certain external influence and always produces only one specific reaction. But we always see “multi”-reactive systems. For example, we react to light, sound, etc. At the same time we can stand, run, lay, eat, shout, etc., i.e. we react to many external influences and we do many various actions. There is no contradiction here, as both the purposes and reactions may be simple and complex. The final overall objective of the system represents the logic sum of sub-goals/sub-purposes of its subsystems. The goal/purpose is built of sub-goals/sub-purposes. For example, the living organism has only one, but very complex purpose to survive, by all means, and for this purpose it should feed. And for this purpose it is necessary to deliver nutriment for histic cells from the external medium. And for this purpose it is necessary first to get it. And for this purpose it is necessary to be able to run quickly (to fly, bite, grab, snap, etc.). Thereafter it is necessary to crush it, otherwise it wont be possible to swallow it (chewing). Then it is necessary to “crush” long albumen molecules (gastric digestion). Then it is necessary to “crush” the scraps of the albumen molecules even to the smaller particles (digestion in duodenum). Then it is necessary to bring in the digested food to blood affluent to intestine (parietal digestion). Then it is necessary... And such “is necessary” may be quite many. But each of these “is necessary” is determined by a sub-goal at each level of hierarchy of purposes. And for every such sub-goal there exists certain subsystem at the respective level of hierarchy of subsystems. At that, each of them performs its own function. And in that way a lot of functions are accumulated in a system. However, all this hierarchy of functions is necessary for one unique cardinal purpose: to survive in this world. Any object represents a system and consists of elements, while each element is intended for the fulfillment of respective sub-goals (subtasks). The system has an overall specific goal and any of its elements represents a system in itself (subsystem of the given system), which has its own goal (sub-goal) and own result of action. When we say “overall specific goal” we mean not the goals/purposes of elements of the system, but the general/overall/ purpose which is reached by means of their interactions. The system has a goal/purpose which is not present in each of its element separately. But the overall goal of the system is split into sub-goals and these sub-goals are the purposes of its elements anyway. There are no systems in the form of indivisible object and any system consists of the group of elements. And each element, in turn, is a system (subsystem) in itself with its own purpose, being a sub-goal of the overall goal/general purpose/. To achieve the goal the system performs series of various actions and each of them is the result of action of its elements. The logic sum of all results of actions of the systems subsystems is final function the result of action of the given system. Thus, one cardinal purpose determines the system, while the sub-goal determines the subsystem. And so on and so forth deep into a hierarchy scale. The goal/purpose is split into sub-goals/sub-purposes and the hierarchy of purposes (logically connected chain of due actions) is built. To perform this purpose the system is built which consists of subsystems, each of which has to fulfill their respective sub-goals and capable to yield necessary respective result of action. That is how the hierarchy of subsystems is structured. The number of subsystems in the system is equal to he number of subtasks (subgoals) into which the overall goal is broken down. For example, the system is sited at a zero level of hierarchy, and all its subsystems are sited at a minus one, minus two, etc. levels, accordingly. The order of numeration of coordinates is relativ