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Why the collection of objects in the definition of set is used however empty/one element set is also a set?

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In math the definition of a set is “The collection of well defined and distinct objects is called a set" but a set having no element is called a set or a single element set is also called a set however these are not collection of objects. Please explain it. Thanks.

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  1. one word can have multiple meanings.  the mathamatical "set" is used differently than the one you are reffering too.....gotta love the english language

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