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Math Help - set theory question - how to handle duplicates?

  1. #1
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    set theory question - how to handle duplicates?

    In my very basic learning of set theory I have seen eg set A {1,2,3,4,5} and set B {2,3,5} for example and then I can work out A union B and A intersect B etc.

    But in these cases there have been no duplicated integers. Is it possible to have duplicates in a single set? Or is that simply not allowed?

    Could you for example have set A {1,1,1,1,2} and set B {1,2,2,2,2} ?

    In which case what is the union and intersect?
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  2. #2
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    Quote Originally Posted by angypangy View Post
    Could you for example have set A {1,1,1,1,2} and set B {1,2,2,2,2} ?
    In terms of true set theory, you have only one set there.
    \{1,2,2,2,2\}=\{1,1,1,1,2\}=\{1,2\}.
    In listing the elements of a set, each element is listed only once.
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