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Why null set is called a set?

Updated: 10/17/2024
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11y ago

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Allowing sets with zero elements simplifies things, in the sense of not requiring all sorts of special cases. For example: the intersection of two sets is another set (which contains all items that are elements of BOTH original sets). Period! If you allow the empty set, there is no need to alter the definition of an intersection, to consider the special case that the sets have no elements in common.

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11y ago
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Q: Why null set is called a set?
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