What is Cardinally Equivalent Sets?
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The relation of having the same cardinality is called equinumerosity, and this is an equivalence relation on the class of all sets. The equivalence class of a set A under this relation, then, consists of all those sets which have the same cardinality as A.
The cardinality of a set is a measure of a set's size, meaning the number of elements in the set. For instance, the set A={1,2,4} A = { 1 , 2 , 4 } has a cardinality of 3 for the three elements that are in it. Equal sets have the exact same elements in them, even though they could be out of order. To be equivalent, the sets should have the same cardinality. ... In general, we can say, two sets are equivalent to each other if the number of elements in both the sets is equal. And it is not necessary that they have same elements, or they are a subset of each other
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