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In fact, what is an object? According to the above-mentioned issues, it results that an object can exist only for an IPS able to validate this existence, as we are about to see later on. The purpose of this “invention” which was initially specific only to NIPS is to separate (distinguish, differentiate) a distribution of a property (which is perceptible by that IPS), with a certain inner domain, against the rest of the support domain on which the property is not distributed. We have noticed that this can be achieved by means of the differential attribute - that is the contrast - which is different from zero only in case of a “determinable” property difference. Therefore, an unevenness of the attribute distribution which is found mostly at the boundary of the object existence is the abstract support for the objects distinguishability. The contrast (differential information), as the object’s essential attribute, requires however a special condition in case of the realizable objects, which shall be approached later on in this study, that is their finiteness of the support domain (both towards zero and towards infinite).
By analysing the definition 3.1.3, we may notice that the superposition of the distributions on the same support is equivalent with the association of more objects (abstract) with a simultaneous existence in a single one, this object being therefore qualitatively decomposable (an internal decomposition), and the joining (adjacent-disjoint concatenation) of the support domains of many objects can lead to a formation by means of external composition of another object.
Thus, another basic quality of the objects seems to be obvious, that is their decomposability up to the level of the elementary object (imposed only by the existing and workable information amount, or by the expiry of the object model) and their (outer, external) composability up to the boundary of the possible domain of the support attribute.
Finally, another basic quality of the objects, coming also from the definition 3.1.3, is the invariance of their model properties (for certain objects). Briefly, the object’s basic attributes are: the invariance as model, de(composability) and distinguishability.
As I have already mentioned above, all the objects properties are evaluated by a MS belonging to IPS class, and their evaluation is made by comparison with (against) a reference system (RS), and because RS can be either internal or external to the object, these properties can be also internal or external. It is very important to notice that the outer properties of an object are assigned (associated) to the object’s inner RS, and this inner RS is the object involved in the external relations (relations with the nearby objects).
With all the apologies given to those which might be offended, we have to make clear a characteristic regarding the approach on the notion of object in this paper, an approach which makes no difference between the non-living (abiotic) objects and the biosystems, objects which are considered as creatures, beings, and for which we should have a special appreciation, according to certain dogma. Obviously, when we shall deal with the models specific to the abiotic and biotic MS, there will be clear differences, but as regards the general (mathematic) object model, there is no difference. After reading chapter 8, it will clearly result that from the point of view of the objects perception mode, IPS makes no difference between the biotic and abiotic objects.
Copyright © 2006-2011 Aurel Rusu. All rights reserved.
