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Is power set of singleton set equal to null set?
No. Let A = {a} (a singleton set) then P(A) = {a, 0}where 0 is the null (empty) set.
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Are equivalent sets equal sets why?
No, because equivalent sets are sets that have the SAME cardinality but equal sets are sets that all their elements are precisely the SAME. example: A={a,b,c} and B={1,2,3} equivalent sets C={1,2,3}...
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Are all equal sets are equivalent sets why?
no,because if for example :setA "A,B,C" and setB "D,E,F" they do have the same number of elements ,but they don't have the same elements.
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What is the power set of an empty set?
An empty set has two power sets which are { } ((the empty set)) {phi}
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Why null set is contradictory to set?
It is NOT contradictory. Not any more than the number zero is "contradictory" to integers.
