In chapter 8, we have seen that the total amount of structure properties of an ISS represents the syntactic information (syntactic value) of that particular ISS, and the total amount of IPS external properties associated to this syntactic value represents the semantic information (semantic value) of that ISS.
If the syntactic properties belong to some internal ISS, they will be directly perceived by the internal information processing unit, and if the syntactic properties belong to some external ISS, they will be indirectly perceived through the input units of IPS. The real purpose of this chapter is to reveal that there is a finite number of all these properties and all of them are invariant for a specific ISS. This ISS with a specific syntactic value is associated (also by IPS) to a specific semantic information, the association being made either based on personal experience, or based on education (learning) in case of IPS which own an external language.
Definition 9.2.1.1: The total amount of the syntactic and semantic information, quantitatively finite and invariant, associated to an ISS, make-up an abstract object.
Comment 9.2.1.1: The definition 9.2.1.1 has a general character, which means that it is valid for any type of ISS, either it is internal or external to an IPS. We have noticed that the set of the internal ISS of an IPS makes-up its memory, for which the memory’s axiom is applicable, which postulates that only objects can be stored into a memory (finite and invariant information amounts). The same axiom is also valid for the external memory of an IPS, where the storable information is contained by some ISS with invariant syntactic value but which can be found outside IPS. In other words, an abstract object represents a finite and invariant information amount stored in a memory, either it is an internal or an external one. And because the information cannot exist without a material support, it is contained by an ISS with a specific syntactic value (a finite and invariant information as well).
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