Definition:Set/Uniqueness of Elements

Definition
A set is uniquely determined by its elements.

This means that the only thing that defines what a set is is what it contains.

So, how you choose to list or define the contents makes no difference to what the contents actually are.

Also see

 * Axiom:Axiom of Extension


 * Definition:Multiset
 * Definition:Ordered Tuple
 * Definition:Set Equality