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# Showing that an element of a transitive set is transitive (set theory) Watch

1. Hi, I'm struggling with showing that an element of a transitive set is transitive. I'm working with the definitions but am not getting anywhere - any tips?
Thanks!
2. (Original post by crrrrrash)
Hi, I'm struggling with showing that an element of a transitive set is transitive. I'm working with the definitions but am not getting anywhere - any tips?
Thanks!
Deleted - incorrect interpretation.
3. (Original post by ghostwalker)
I don't see how an element can be transitive.

A relation can, and showing transitivity would depend on how the relation is defined.

Note: transitivity says if a~b and b~c, then a~c
The op is talking about transitive sets. An element of a transitive set A is a subset of A, so by definition the element can be transitive.

Just what I gathered from reading http://en.wikipedia.org/wiki/Transitive_set
4. (Original post by AWittierName)
...
Thanks for the clarification, I was clearly thinking about the wrong thing.
5. Bump?
6. (Original post by crrrrrash)
Bump?
Consider

and pay attention to .

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