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Theory of sets

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tanzina_diu:
SETS OF SETS
The objects of a set can be the sets themselves. In that case we are talking about a family of sets or a class of sets, which is denoted by capital letters A, B, C, … In the same time, the capital letters denote their elements.
UNIVERSAL SET
Sometimes we are interested only in the subsets of one set, and other sets have no meaning for our consideration. In such a case we call this set the universal set. The set of all points in one plane can be the universal set.
John is at a party. All the girls at the party are a universal set for John, because he is interested whether they will like him.
POWER SET
The power set is the family of all subsets of a set. If A is a set, then its power set is denoted by 2A or P(A).
For example, if A = {1,2}, then 2A = { {1,2}, {1}, {2},  }.

Tofazzal.ns:
Thanks madam for sharing..

710001113:
nice

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