|
|
|
According to the objectual philosophy, a container is an ensemble of virtual, abstract realizable or real boundaries, which confine an internal domain reserved to an object. Based on the type of the contained object, we shall have:
Virtual containers, which
contain inside them virtual objects. For example, the virtual object
the set of the real numbers from mathematics or subsets of
this set. This object is “packed” (contained, confined)
in a virtual container symbolized by the two brackets {},
which include a symbol (such as Z, N, R, etc.) which is specific for
one or more common properties of the constitutive elements, infinite
in terms of number. In this case (the most generic), the brackets
are symbols without any other semantic value than the one of
separator of an internal domain, which can be empty, such as
for instance the case of the void set
,
where only the virtual internal domain has remained from the set
object, which is reserved by the two boundaries. In case that the
set has one or more properties which are common to all the contained
elements, the contrast between the existence of this property within
the container’s internal domain and its absence in the rest of
the “universe”, becomes a property associated to that
particular container. The virtual containers may contain infinite
domains (such as the case of the set of numbers which were mentioned
above {Z}, {N}, {R} etc.
Abstract realizable
containers, applicable for instance, in case of the set
object, but this time with a finite and determined number of
elements, which are all abstract realizable objects (contained by
the finite ISS). For example, the set of the letters from an
alphabet, the set of the numbers from a list, etc. Since we are
talking about sets, the symbols for the boundaries are also the
brackets with associated semantic values, as in case of the virtual
containers. For certain sets of abstract objects, with finite
numbers of elements which are positionally arranged based on one or
more dimensions, at which the position assigned to an element into
the internal domain is invariant (for instance, the matrix), there
will be corresponding symbols for the boundaries of the container,
others than the brackets (for example,
).
The category of the symbols for denoting the boundaries of the
abstract realizable containers also includes the separating
characters from the natural written language (break space, comma,
dot, brackets etc.) which have the role to define the internal
domain of a number, word, collocation, sentence, phrase etc.
Real (material) containers which define the inside of a real (material) object. Based on the generic model of the material system proposed by the present paper, the result is that a real container is made-up from a real bounding surface (RBS), either it is natural or artificial. This type of container is minutely described in chapter 7, which is focused on the natural RBS.
Copyright © 2006-2011 Aurel Rusu. All rights reserved.
