- #1
Oxymoron
- 870
- 0
I want to make sure I understand the meaning of membership and subset.
For example, if I have a set x, then is x a member/subset of the set
S = {{y},x}
I came to the conclusion that x is a member of the set S because S contains x as an element, and x is also a subset of S because S contains the set x and x is a subset of x. This doesn't sound right, I've used the same argument for two different things?? Hmmm...
But if
S = {y,{x}}
then x would NOT be a member of S because the set S does not contain the set x as an element (but it does contain the set {x} as an element and {x} \neq x). And x is also NOT a subset of S for reasons I cannot think of.
For example, if I have a set x, then is x a member/subset of the set
S = {{y},x}
I came to the conclusion that x is a member of the set S because S contains x as an element, and x is also a subset of S because S contains the set x and x is a subset of x. This doesn't sound right, I've used the same argument for two different things?? Hmmm...
But if
S = {y,{x}}
then x would NOT be a member of S because the set S does not contain the set x as an element (but it does contain the set {x} as an element and {x} \neq x). And x is also NOT a subset of S for reasons I cannot think of.
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