For example: the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {2,4,6}.

Set elements do not have order by definition, but sets can contain an

*ordering element*that is of

*strict total order binary relation*type, as well.

Then, we can use this

*ordering element*to unambiguously determine order of other elements in our set.

We can say then: 'we have a set S with strict total order relation R', for example.

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