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Are two empty sets equivalent

Updated: 12/20/2022
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11y ago

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Yes, both have cardinality 0.

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11y ago
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Q: Are two empty sets equivalent
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Are two empty sets equal?

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Is the union of disjoint sets is always the empty set?

No, only if both sets are empty. The intersection of disjoint sets is always empty.


Definition of equivalent sets?

two sets A and B are said to be equivalent if there exists a bijective mapping between A and B


What is the symbol for joint sets?

There is no such symbol for joint sets. Actually, there is a representation for joint sets. That is: The sets are joint if A ∩ B is not empty. The sets are disjoint if A ∩ B is empty.


What is interseting set?

I presume you mean intersecting. Two sets are intersecting if they have members in common. The set of members common to two (or more) sets is called the intersection of those sets. If two sets have no members in common, their intersection is the empty set. In this case the sets are called disjoint.


What can you say empty sets or null sets?

empty set or null set is a set with no element.


Is The intersection of two nonempty sets is always nonempty?

Not necessarily. The odd integers and the even integers are two infinitely large sets. But their intersection is the null (empty) set.


Why empty set is a set?

The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A.


What is empty or null in mathematics?

The terms are usually used to describe sets that contain no elements or empty sets.


How come an empty sets become an empty sets?

An empty set becomes an empty set by virtue of its definition which states that it is a set that contains no elements. In other words, it contains nothing, it is empty!


Can two disjoint sets be equivalent?

Yes,Because not all disjoint no equivalent other have disjoint and equivalent


Do the intersection of two sets always contains a smaller number of terms than the union of two sets?

No, because the intersection of two equivalent sets will have a union the same size as its intersection.