Sets, Subsets, and the Null SetDate: 06/22/2004 at 21:31:23 From: Jon Subject: Sets Can the null set be an element of any set? I know that the null set is a subset of any set. Date: 06/23/2004 at 11:00:12 From: Doctor Ian Subject: Re: Sets Hi Jon, Note that the null _set_ is just that, a set. So it can only be an _element_ of a set that contains sets, such as the set of subsets of a set. If A = {1, 2, 3} then the set of subsets of A is S = { {}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3} } and the null set is an _element_ of S, and a _subset_ of A. But it's not an _element_ of A. Does this help? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ Date: 06/24/2004 at 20:02:01 From: Jon Subject: Thank you (Sets) Dr. Ian, Yeah, it cleared up my confusion. Thanks a lot! Jon |
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