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Sets theory.pdf


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The cohesion and relation of the elements of a set can give us the distinct categories in which we can divide
and call to the different sets of elements.
This way, scrappily sets will those that have very little cohesion among them.
As examples of this, we can consider those such as:
Accumulation of stones, screws, balls, etc.; baskets of apples, pears, etc.; any set of number without any
mathematical relation, etc.
---- SETS in RELATION

In this case, la relation and cohesion is much bigger than in the anterior case.
The elements of a set in relation have clear rules of union among them with which the resultant set acquires
especial characteristics as group.
With object of distinguishing between sets of fusion and set in relation (It has certain difficulty) we can say:
"In the set of relation the component elements can be clearly distinguished, while in the fusion sets the
component elements can’t be distinguished in any case, and alone we can observe the resultant body".
Example of Set in Relation could be a mathematical succession (1, 2, 3, 4, 5, etc. ) whose elements or
numbers are interrelated or they communicate among them by means of a logical composition or a
mathematical valuation, in definitive by means of an intelligent structuring.
Other ones could be: any mathematic operation 12 X 12 = 144; a bookcase with bottles; a closet with their
orderly clothes; a military parade; etc.
But also we can consider sets in relation to many sets of fusion if we desire observe them alone from a
particular y subjective point of view as for example when we observe a tree y consider alone their branch,
leaves and fruits.
---- SETS in FUSION

In the Sets in Fusion their elements can’t be observed normally.
Against in the Sets in Fusion the group of elements forms so very organized and structured set that acquires
news and differential properties.
In this case, these properties and characteristics make this set to take its own noun as set, and much more,
these sets take the general noun of "physics or mathematical Bodies".