Principle of Inclusion and Exclusion
This principle gives us the cardinality of the union of sets. |A1 ∪ A2 ∪ A3 ∪ A4 ∪ ... ∪ An|=(|A1| + |A2| + |A3| +...+ |An|)-(|A1 ∩ A2| +|A1 ∩ A3| + ....+|An-1 ∩ An|) + .........+(−1)^{n-1}(|A1 ∩ A2 ∩ A3 ∩.....∩ An|)
Read more about this topic: Set (mathematics)
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“Belonging to a group can provide the child with a variety of resources that an individual friendship often cannot—a sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social life—of inclusion and exclusion, conformity and independence.”
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“The principle of the brotherhood of man is ... narcissistic ... for the grounds for that love have always been the assumption that we ought to realize that we are the same the whole world over.”
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“I ... observed the great beauty of American government to be, that the simple machines of representation, carried through all its parts, gives facility for a being moulded at will to fit with the knowledge of the age; that thus, although it should be imperfect in any or all of its parts, it bears within it a perfect principle the principle of improvement.
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—Frances Wright (1795–1852)
“Belonging to a group can provide the child with a variety of resources that an individual friendship often cannot—a sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social life—of inclusion and exclusion, conformity and independence.”
—Zick Rubin (20th century)
“All men, in the abstract, are just and good; what hinders them, in the particular, is, the momentary predominance of the finite and individual over the general truth. The condition of our incarnation in a private self, seems to be, a perpetual tendency to prefer the private law, to obey the private impulse, to the exclusion of the law of the universal being.”
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